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SpectraRust/synspec/synspec54.f
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PROGRAM SYNSPEC
C
C =====================================================================I
C I
C Program for evaluting synthetic spectra for a given model atmosphere I
C I
C ***************** I
C VERSION SYNSPEC54 I
C ***************** I
C I
C Input: the same as input to TLUSTY or TLUSDISK - unit 5 I
C additional 6 lines of input - unit 55 (proc. START and INIBL0)I
C chemical composition - unit 56 (if a switch is on in unit 55) I
C model atmosphere - unit 8 (procedures INPMOD or INKUR) I
C line list - unit 19 (procedure INISET) I
C I
C Output: diagnostic outprint - unit 6 (several procedures) I
C synthetic spectrum - unit 7 (procedure OUTPRI) I
C flux in continuum - unit 17 (procedure OUTPRI) I
C identification table- unit 12 (procedure INIBLA) I
C partial equiv.widths- unit 16 (procedure OUTPRI) I
C elapsed time - unit 69 (procedure TIMING - UNIX only) I
C I
C -- if specific intensities are also calculated (set up by the I
C input on unit 55), there are two aditional output files: I
C I
C specific intensities - unit 10 I
C specific intensities in continuum - unit 18 I
C I
C -- in the iron-curtain option (IMODE=-2), there is another I
C output file: I
C monochromatic opacities - unit 27 I
C I
C *** The contents of units 7 and 17 serve as an input to the I
C program ROTIN, which performs rotational and instrumental I
C ROTIN, which performs rotational and instrumental I
C convolutions, and sets up files for a plot. I
C I
C Basic options: controlled by switch IMODE I
C IMODE = 0 - normal synthetic spectrum I
C (ie. identification table + emergent flux) I
C = 1 - detailed profiles of a few individual lines I
C = 2 - emergent flux in the continuum (without the I
C contribution of lines) I
C = -1 - only identification table, ie. a list of lines which I
C contribute to opacity in a given wavelength I
C region, together with their approximate equivalent I
C widths. Synthetic spectrum is not calculated. I
C = -2 - the "iron curtain" option, ie. a monochromatic I
c opacity for a homogeneous slab of a given T and n_e I
C I
C I
C ==================================================================== I
C
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'LINDAT.FOR'
include 'MODELP.FOR'
include 'SYNTHP.FOR'
C
OPEN(UNIT=12,STATUS='UNKNOWN')
OPEN(UNIT=14,STATUS='UNKNOWN')
C
C INITIALIZATION - INPUT OF BASIC PARAMETERS AND MODEL ATMOSPHERE
C
CALL START
if(ifeos.gt.0) imode=-3
if(ibfac.gt.1) then
LTE0=LTE
LTE=.TRUE.
END IF
IF(IMODE.GE.-2.AND.IFEOS.LE.0) THEN
IF(INMOD.GT.0) CALL INPMOD
IF(INMOD.EQ.0) CALL INKUR
IF(ICHANG.NE.0) CALL CHANGE
IF(IBFAC.GT.1) THEN
CALL INPBF
LTE=LTE0
END IF
IF(IFWIN.GT.1) CALL SETWIN
ELSE
CALL INGRID(0,inext,0)
END IF
C
CALL INIBL0
CALL INIMOD
CALL TINT
c
IMODE0=IMODE
IF(IMODE0.EQ.-4) IMODE=2
igrd=0
1 continue
c
IF(IMODE0.LE.-3.and.ifeos.le.0) CALL INIBL1(IGRD)
IF(IFMOL.GT.0) then
CALL MOLINI
if(ifeos.ne.0) call eospri
end if
c
c zero abundances for selected species (if required)
c
if(imode0.le.-3) call abnchn(1)
c
IBLANK=0
NXTSET=0
IF(IFMOL.GT.0.AND.IMODE.LT.2) THEN
DO ILIST=1,NMLIST
NXTSEM(ILIST)=0
INACTM(ILIST)=0
NLINMT(ILIST)=0
END DO
END IF
c
if(ifeos.le.0) then
IF(IMODE.LT.2) CALL INILIN
C
IF(IFMOL.GT.0.AND.IMODE.LT.2) THEN
DO ILIST=1,NMLIST
IF(IMODE.EQ.-3.AND.TEMP(1).LT.TMLIM(ILIST))
* CALL INMOLI(ILIST)
IF(IMODE.GE.-2.and.imode.le.1) CALL INMOLI(ILIST)
END DO
END IF
end if
c
5 CONTINUE
c
C ACTUAL CALCULATION OF THE SYNTHETIC SPECTRUM
C
IF(IFEOS.GT.0) GO TO 30
10 IBLANK=IBLANK+1
IF(IFWIN.LE.0) THEN
CALL RESOLV
IF(IMODE0.LT.0) GO TO 20
if(ifreq.le.10.and.inmod.le.1) then
CALL RTECD
else
call RTE
end if
else
CALL RESOLW
end if
CALL OUTPRI
20 CONTINUE
if((imode.ge.0.and.imode.ne.7.and.iprin.ge.1).or.
* (imode.lt.0.and.iprin.ge.2)) then
CALL IDTAB
IF(IFMOL.GT.0) CALL IDMTAB
end if
IF(IBLANK.LT.NBLANK) GO TO 10
IF(NXTSET.EQ.1.AND.IRLIST.EQ.0) THEN
IF(IMODE.LT.2) CALL INILIN
GO TO 5
END IF
IF(IFMOL.GT.0.AND.IMODE.LT.2.AND.IRLIST.GT.0) THEN
DO ILIST=1,NMLIST
IF(NXTSEM(ILIST).EQ.1.and.inactm(ilist).eq.0) THEN
CALL INMOLI(ILIST)
iblank=0
GO TO 5
END IF
END DO
END IF
30 CONTINUE
c
if(imode0.lt.-2) then
call ingrid(1,inext,igrd)
igrd=igrd+1
c call timing(1,igrd)
if(inext.gt.0) go to 1
end if
if(imode0.le.-3.and.ifeos.le.0) call fingrd
call timing(2,iblank)
END
C
C ********************************************************************
C
C
C
SUBROUTINE START
C ================
C
C General input and initialization procedure
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'LINDAT.FOR'
INCLUDE 'SYNTHP.FOR'
common/quasun/nunalp,nunbet,nungam,nunbal
C
C ------------------------------------------------
C Additional basic input parameters - from unit 55
C ------------------------------------------------
C
C IMODE = 0 - normal synthetic spectrum
C = 1 - detailed profiles of a few individual lines
C = 2 - emergent flux in the continuum (without the
C contribution of lines)
C = -1 - identification table, ie. a list of lines which
C contribute to opacity in a given wavelength
C region, together with their approximate equivalent
C widths. Synthetic spectrum is not calculated.
C = -2 - the "iron curtain" option, ie. a monochromatic
C opacity for a homogeneous slab of a given T and n_e
C
C IDSTD - index of the "standard depth" (ie the depth at which
C the continuum optical depth is of the order of unity)
C (for detailed explanation see the code TLUSTY)
C
C IPRIN - determines the amount of output:
C =0 - standard output:
C condensed output on unit 6 (basics + error messages),
C no output on unit 96 (depths of formation);
C normal output on 16 (equivalent widths);
C normal output on 12 (identification table)
C >0 - more output:
C =1 - emergent flux on unit 6, no unit 96
C =2 - identification table + flux on unit 6, no unit 96
C =3 - as before, plus unit 96 (depths of formation);
C =4 - as before, plus unit 97 (contribution functions);
C <0 - less output:
C =-1 - no output on unit 16
C =-2 - no output on units 16 and 12
C
C INMOD = 0 - input model atmosphere as a Kurucz model
C (read by procedure INKUR)
C = 1 - input model atmosphere is a model calculated
C by the program TLUSTY
C (read by procedure INPMOD)
C = 2 - input model is a model of the vertical structure
C of one ring of an accretion disk
C INTRPL - switch indicating whether the input model has to be
C interpolated to the present depth scale;
C for details see procedure INPMOD
C ICHANG - switch indicating whether the populations from the
C input model have to be updated;
C for details see procedure CHANGE
C ICHEMC - switch indicating that new chemical composition will
C be read from unit 56
C IOPHLI - switch for treatment the Lyman line wings -see LYMLIN
C
IFWIN=0
nunalp=0
nunbet=0
nungam=0
nunbal=0
iunitm(1)=20
nmlist=0
NDSTEP=0
if(ifeos.le.0) then
READ(55,*,END=3) IMODE,IDSTD,IPRIN
READ(55,*,END=3) INMOD,INTRPL,ICHANG,ICHEMC
READ(55,*,ERR=3,END=3) IOPHLI,nunalp,nunbet,nungam,nunbal
3 continue
end if
IF(IMODE.LT.-90) THEN
IMODE=-IMODE-100
IFWIN=1
END IF
if(imode.gt.5) then
imode=imode-10
ifmol=1
nmlist=1
iunitm(1)=20
end if
c disabling an old option
iophli=0
c
c standard initialization
c
call initia
c
c if needed, read tables with data for quasimolecular satellites of
c Lyman alpha, beta, gamma, and Balmer alpha
c
call getlal
c
IF(IMODE.LT.-1) THEN
ND=1
IDSTD=1
END IF
IF(INMOD.GT.0.AND.INTRPL.GT.0) READ(55,*) (DM(I),I=1,ND)
C
return
end
C
C
C ****************************************************************
C
C
SUBROUTINE INITIA
C =================
C
C driver for input and initializations
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
PARAMETER (WI1=911.753578, WI2=227.837832)
common/dissol/fropc(mlevel),indexp(mlevel)
CHARACTER*10 TYPLEV(MLEVEL)
CHARACTER*4 TYPION(MIOEX),TYPIOI
CHARACTER*40 FIDATA(MION),FIODF1(MION),FIODF2(MION),FIBFCS(MION),
* FILEI
CHARACTER*20 FINSTD
CHARACTER*1 BLNK
COMMON/PRINTP/TYPLEV
COMMON/IONDAT/IATI(MION),IZI(MION),NLEVS(MION),NLLIM(MION)
COMMON/IONFIL/FIDATA,FIODF1,FIODF2,FIBFCS
COMMON/INUNIT/IUNIT
COMMON/STRPAR/IMER,ITR,IC,IL,IP,NLASTE,NHOD
common/quasex/iexpl(mlevel),iltot(mlevel)
DIMENSION IGLE(18),IGMN(25),IGFE(26),IGNI(28)
DATA IGLE/2,1,2,1,6,9,4,9,6,1,2,1,6,9,4,9,6,1/
DATA IGMN/2,1,2,1,6,9,4,9,6,1,2,1,6,9,4,9,6,1,
* 10,21,28,25,6,7,6/
DATA IGFE/2,1,2,1,6,9,4,9,6,1,2,1,6,9,4,9,6,1,
* 10,21,28,25,6,25,30,25/
DATA IGNI/2,1,2,1,6,9,4,9,6,1,2,1,6,9,4,9,6,1,
* 10,21,28,25,6,25,28,21,10,21/
DATA BLNK /' '/
C
CALL READBF
C
C ------------------------------------
C Basic input parameters - atmospheres
C ------------------------------------
C
IF(INMOD.LE.1) THEN
READ(IBUFF,*) TEFF,GRAV
ELSE IF(INMOD.EQ.2) THEN
C
C ------------------------------
C Basic input parameters - disks
C ------------------------------
C
READ(IBUFF,*) DISPAR
END IF
C
C ----------------------------
C other basic input parameters
C ----------------------------
C
READ(IBUFF,*) LTE,LTGREY
READ(IBUFF,*) FINSTD
CALL NSTPAR(FINSTD)
C
C
C ----------------------------
C Frequency points and weights
C ----------------------------
C
READ(IBUFF,*) NFREAD
NJREAD=NFREAD
C
IF(NJREAD.LT.0) THEN
NJREAD=-NJREAD
NFREQC=NJREAD
DO IJ=1,NJREAD
READ(IBUFF,*) FREQEXP
END DO
ELSE
NFREQC=NJREAD
END IF
C
WRITE(6,601) TEFF,GRAV
C
C ----------------------------------------------------
C turbulent velocities
C ----------------------------------------------------
C
IF(VTB.LT.1.E3) VTB=VTB*1.E5
DO ID=1,ND
VTURB(ID)=VTB
END DO
C
C ----------------------------------------------------
C Input parameters for explicit and non-explicit atoms
C ----------------------------------------------------
C
C Input parameters are read by procedure STATE
C (see description there)
C
CALL STATE0(1)
ID=1
IF(IPRIN.GE.1) WRITE(6,607) YTOT(ID),WMY(ID),WMM(ID)
DO I=1,MLEVEL
ILK(I)=0
iexpl(i)=0
iltot(i)=0
END DO
C
C --------------------------------------------------------------
C Input of parameters for explicit ions, levels, and transitions
C --------------------------------------------------------------
C
ILEV=0
IATLST=0
ION=0
IA=0
IUNIT=34
NATOM=0
WRITE(6,613)
10 CONTINUE
READ(IBUFF,*,END=20,ERR=20) IATII,IZII,NLEVSI,ILASTI,ILVLIN,
* NONSTD,TYPIOI,FILEI
IF(ILASTI.EQ.0) THEN
ION=ION+1
IATI(ION)=IATII
IZI(ION)=IZII
NLEVS(ION)=NLEVSI
TYPION(ION)=TYPIOI
FIDATA(ION)=FILEI
NLLIM(ION)=ILVLIN
ILIMITS(ION)=-1
IUPSUM(ION)=0
FIBFCS(ION)=BLNK
MODEFF=1
NFF=0
IF(IATI(ION).EQ.1.AND.IZI(ION).EQ.0) THEN
IUPSUM(ION)=-100
MODEFF=2
END IF
IF(IATI(ION).EQ.2.AND.IZI(ION).EQ.1) THEN
MODEFF=2
END IF
IF(NONSTD.GE.10) THEN
WRITE(*,*)'INITIA: QUANTUM NUMBERS AND ENERGY LIMITS WILL'
WRITE(*,*)' BE IGNORED FOR ION ',IATII,' ',IZII
ILIMITS(ION)=0
NONSTD=NONSTD-10
END IF
IF(NONSTD.GT.0) THEN
READ(IBUFF,*) IUPSUM(ION),ICUP,MODEFF,NFF
ELSE IF(NONSTD.LT.0) THEN
READ(IBUFF,*) ifil1,ifil2,FIODF1(ION),
* FIODF2(ION),FIBFCS(ION)
IF(FIBFCS(ION).NE.' ') THEN
IUNIT=IUNIT+1
INBFCS(ION)=IUNIT
END IF
IUPSUM(ION)=1
END IF
C
IF(IATI(ION).EQ.IATLST) THEN
NFIRST(ION)=ILEV
ELSE
NFIRST(ION)=ILEV+1
IATLST=IATI(ION)
IA=IATEX(IATLST)
N0A(IA)=NFIRST(ION)
NATOM=MAX(NATOM,IA)
END IF
NLAST(ION)=NFIRST(ION)+NLEVS(ION)-1
NNEXT(ION)=NLAST(ION)+1
ILEV=NNEXT(ION)
IZ(ION)=IZI(ION)+1
IF(NFF.GT.0) FF(ION)=EH/H*IZ(ION)*IZ(ION)/NFF/NFF
C
N0I=NFIRST(ION)
N1I=NLAST(ION)
NKI=NNEXT(ION)
IFREE(ION)=MODEFF
DO II=N0I,N1I
IEL(II)=ION
IATM(II)=IA
END DO
ILK(NKI)=ION
IATM(NKI)=IA
C
IF(NUMAT(IA).EQ.1) THEN
IATH=IA
IF(IZ(ION).EQ.1) IELH=ION
IF(IZ(ION).EQ.0) IELHM=ION
END IF
IF(NUMAT(IA).EQ.2) THEN
IATHE=IA
IF(IZ(ION).EQ.1) IELHE1=ION
IF(IZ(ION).EQ.2) IELHE2=ION
END IF
C
IF(IPRIN.GE.0)
* WRITE(6,614) TYPION(ION),N0I,N1I,NKI,IZ(ION)
C
ELSE IF(ILASTI.GT.0) THEN
ENION(ILEV)=0.
G(ILEV)=ILASTI
NQUANT(ILEV)=1
TYPLEV(ILEV)=TYPIOI
IFWOP(ILEV)=0
IEL(ILEV)=ION
NKA(IA)=NNEXT(ION)
IF(ILASTI.EQ.1.AND.IATII.GT.IZII) THEN
IF(IATII.LT.25) THEN
G(ILEV)=IGLE(IATII-IZII)
ELSE IF(IATII.EQ.25) THEN
G(ILEV)=IGMN(IATII-IZII)
ELSE IF(IATII.EQ.26) THEN
G(ILEV)=IGFE(IATII-IZII)
ELSE IF(IATII.EQ.28) THEN
G(ILEV)=IGNI(IATII-IZII)
ENDIF
ENDIF
ELSE
GO TO 20
END IF
GO TO 10
20 CONTINUE
NION=ION
NLEVEL=NKI
C
if(iath.gt.0) then
N0H=N0A(IATH)
N1H=NLAST(IELH)
NKH=NNEXT(IELH)
N0HN=NFIRST(IELH)
N0M=0
IF(IELHM.GT.0) THEN
N0M=NFIRST(IELHM)
IOPHMI=0
end if
else
n0h=0
n1h=0
nkh=0
n0hn=0
end if
C
IF(IPRIN.GE.1) WRITE(6,603) INMOD,ND,IDSTD,INTRPL,ICHANG,
* NATOM,NION,NLEVEL,
* IELH,IELHM,IATH
C
C -----------------------------------------
C Parameters for individual explicit levels
C -----------------------------------------
C
IMER=0
ITR=0
IC=0
IL=0
IP=0
C
DO ION=1,NION
CALL RDATA(ION)
NFF=NQUANT(NLAST(ION))+1
IF(NFF.GT.0) FF(ION)=EH/H*IZ(ION)*IZ(ION)/NFF/NFF
END DO
C
IF(IPRIN.GE.1) WRITE(6,615)
DO I=1,NLEVEL
IF(IPRIN.GE.1)
* WRITE(6,616) I,TYPLEV(I),TYPION(IEL(I)),ENION(I),G(I),
* NQUANT(I),IEL(I),ILK(I),IATM(I)
END DO
C
C -----------------------------------------
C Input parameters for additional opacities
C -----------------------------------------
C
IF(IPRIN.GE.0) WRITE(6,605) IOPHMI,IOPH2P,IOPHEM,IOPCH,IOPOH,
* IOPH2M,IOH2H2,IOH2HE,IOH2H1,IOHHE,
* IRSCT,IRSCH2,IRSCHE,IOPHLI
C
C
IF(VTB.LT.1.E3) VTB=VTB*1.E5
DO ID=1,ND
VTURB(ID)=VTB
END DO
WRITE(6,608) VTB*1.E-5
DO I=1,ND
VTURB(I)=VTURB(I)*VTURB(I)
END DO
C
601 FORMAT(31X,'*******************************************'/
* 31X,'I',41X,'I'/
* 31X,'I S Y N T H E T I C S P E C T R U M I'/
* 31X,'I',41X,'I'/
* 31X,'I',8X,'FOR MODEL ATMOSPHERE WITH',8X,'I'/
* 31X,'I',41X,'I'/
* 31X,'I',14X,'TEFF =',F7.0,13X,'I'/
* 31X,'I',14X,'LOG G =',F7.2,13X,'I'/
* 31X,'I',41X,'I'/
* 31X,'*******************************************')
603 FORMAT(//' BASIC INPUT PARAMETERS'/
* ' ----------------------'/
* ' INMOD =',I5/
* ' ND =',I5/
* ' IDSTD =',I5/
* ' INTRPL =',I5/
* ' ICHANG =',I5/
* ' NATOM =',I5/
* ' NION =',I5/
* ' NLEVEL =',I5/
* ' IELH =',I5/
* ' IELHM =',I5/
* ' IATH =',I5)
605 FORMAT(//' ADDITIONAL OPACITY SOURCES'/
* ' --------------------------'/
* ' IOPHMI (H- OPACITY IN LTE) =',I3/
* ' IOPH2P (H2+ OPACITY) =',I3/
* ' IOPHEM (HE- B-F AND F-F) =',I3/
* ' IOPCH (CH OPACITY) =',I3/
* ' IOPOH (OH OPACITY) =',I3/
* ' IOPH2M (H2- OPACITY) =',I3/
* ' IOH2H2 (CIA H2-H2 OPACITY =',I3/
* ' IOH2HE (CIA H2-He OPACITY =',I3/
* ' IOH2H1 (CIA H2-H OPACITY =',I3/
* ' IOHHE (CIA H-He OPACITY =',I3/
* ' IRSCT (RAYLEIGH SCAT. ON H I) =',I3/
* ' IRSCH2 (RAYLEIGH SCAT. ON H2 =',I3/
* ' IRSCHE (RAYLEIGH SCAT. ON HE I) =',I3/
* ' IOPHLI (LYMAN LINES WINGS) =',I3)
607 FORMAT(///' YTOT =',F11.5/' WMY =',1PE15.5/
* ' WMM =',E15.5)
608 FORMAT(//' TURBULENT VELOCITY - DEPTH-INDEPENDENT VTURB =',
* 1PE10.3,' KM/S'/
* ' ------------------'/)
613 FORMAT(//' EXPLICIT IONS INCLUDED'/
* ' ----------------------'//
* ' ION N0 N1 NK IZ'/)
614 FORMAT(A4,4I6)
615 FORMAT(//' EXPLICIT ENERGY LEVELS INCLUDED'/
* ' -------------------------------'//
* ' NO. LEVEL ION ION.EN.(ERG) G NQUANT',
* ' IEL ILK IAT'/)
616 FORMAT(I4,2X,A10,A4,1PE15.7,0PF10.2,4I5)
C
RETURN
END
C
C
C ************************************************************************
C
C
C
SUBROUTINE RDATA(ION)
C =====================
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
PARAMETER (WI1=911.753578, WI2=227.837832)
PARAMETER (T15=1.D-15)
PARAMETER (ECONST= 5.03411142E15)
PARAMETER (MCFIT=10)
CHARACTER*10 TYPLEV(MLEVEL)
CHARACTER*40 FIDATA(MION),FIODF1(MION),FIODF2(MION),FIBFCS(MION)
CHARACTER*1 A
CHARACTER*1000 CADENA
CHARACTER(len=100) :: DUM
COMMON/IONDAT/IATI(MION),IZI(MION),NLEVS(MION),NLLIM(MION)
COMMON/IONFIL/FIDATA,FIODF1,FIODF2,FIBFCS
COMMON/TOPCS/CTOP(MFIT,MCROSS), !sigma=alog10(sigma/10^-18) of fit point
* XTOP(MFIT,MCROSS) ! x = alog10(nu/nu0) of fit point
COMMON/PRINTP/TYPLEV
COMMON/INUNIT/IUNIT
COMMON/STRPAR/IMER,ITR,IC,IL,IP,NLASTE,NHOD
common/dissol/fropc(mlevel),indexp(mlevel)
common/quasex/iexpl(mlevel),iltot(mlevel)
dimension CTEMP(MCFIT),CRATE(MCFIT)
data iexp0/0/
C
c IUNIT=IUNIT+1
IUNIT=94
OPEN(IUNIT,FILE=FIDATA(ION),STATUS='OLD')
C
C read the first record - a label for the energy level input
C
READ(IUNIT,501) A
501 FORMAT(A1)
C
C -----------------------------------------------------
C input parameters for explicit energy levels
C -----------------------------------------------------
C
C If ILIMITS(ION) < 0, the program finds out whether energy and
C quantum numbers are included in the input data files
IF (ILIMITS(ION).LT.0) THEN
READ(IUNIT,'(1000A)')CADENA
BACKSPACE(IUNIT)
CALL COUNT_WORDS(CADENA,NOW)
IF (NOW.LT.14) THEN
ILIMITS(ION)=0
ELSE
ILIMITS(ION)=1
ENDIF
ENDIF
C Standard format: ENION(I),G(I),NQUANT(I),TYPLEV(I),ifwop(i)
IF (ILIMITS(ION).EQ.0) THEN
C
DO IL=1,NLEVS(ION)
I=IL+NFIRST(ION)-1
IE=IEL(I)
N0I=NFIRST(IE)
NKI=NNEXT(IE)
ia=numat(iatm(n0i))
if(isemex(ia).le.1) then
iexp0=iexp0+1
iexpl(i)=iexp0
iltot(iexp0)=i
c write(6,671) il,i,ia,ion,isemex(ia),iexp0,iltot(iexp0)
if(il.eq.nlevs(ion)) then
if(nki.eq.nka(iatm(i))) then
iexp0=iexp0+1
iexpl(nki)=iexp0
iltot(iexp0)=nki
c write(6,671) il+1,nki,ia,ion,isemex(ia),iexp0,iltot(iexp0)
end if
end if
c 671 format('il,i,ia,ion,isem,iexp,iltot',7i4)
end if
IQ=I-N0I+1
X=IQ*IQ
ifwop(i)=0
IZZ=IZ(IE)
READ(IUNIT,*)
* ENION(I),G(I),NQUANT(I),TYPLEV(I),ifwop(i)
if(ifwop(i).lt.0.and.i.ne.nlast(ie))
* call quit('conflict in negative ifwop')
if(ifwop(i).ge.2) ifwop(i)=0
IF(I.LT.NKI) THEN
E=ENION(I)
E0=E
IF(E.LT.0.) THEN
E=-E
E0=E
END IF
IF(E.EQ.0.) THEN
c if(izz.le.2) then
if(izz.le.-2) then
w0=wi1
if(izz.eq.2) w0=wi2
WL0=W0*X
IF(WL0.GT.2000.) THEN
ALM=1.E8/(WL0*WL0)
XN1=64.328+29498.1/(146.-ALM)+255.4/(41.-ALM)
WL0=WL0/(XN1*1.D-6+1.D0)
END IF
E0=H*CL*1.D8/WL0
else
E0=EH*IZZ*IZZ/X
end if
END IF
IF(E.GT.1.D-7.AND.E.LT.100.) E0=1.6018D-12*E
IF(E.GT.100..AND.E.LT.1.D7) E0=1.9857D-16*E
IF(E.GT.1.D7) E0=H*E
IF(ENION(I).GE.0.) THEN
ENION(I)=E0
ELSE
ENION(I)=-E0
ENDIF
IF(G(I).EQ.0.) G(I)=2.D0*X
IF(NQUANT(I).EQ.0) NQUANT(I)=IQ
ELSE
c if(modref.ge.0) nref(iatm(i))=nka(iatm(i))
IF(G(I).EQ.0..AND.NKI.EQ.NKA(IATM(I))) G(I)=1.
END IF
if(ifwop(i).lt.0) then
enion(i)=0.
ff(ie)=0.
IMER=IMER+1
IMRG(I)=IMER
IIMER(IMER)=I
endif
fropc(i)=0.
END DO
C Upgraded format including limits for energies, and quantum numbers
ELSE
DO IL=1,NLEVS(ION)
I=IL+NFIRST(ION)-1
IE=IEL(I)
N0I=NFIRST(IE)
NKI=NNEXT(IE)
ia=numat(iatm(n0i))
if(isemex(ia).le.1) then
iexp0=iexp0+1
iexpl(i)=iexp0
iltot(iexp0)=i
if(il.eq.nlevs(ion)) then
if(nki.eq.nka(iatm(i))) then
iexp0=iexp0+1
iexpl(nki)=iexp0
iltot(iexp0)=nki
end if
end if
end if
IQ=I-N0I+1
X=IQ*IQ
ifwop(i)=0
IZZ=IZ(IE)
READ(IUNIT,*)
* ENION(I),G(I),NQUANT(I),TYPLEV(I),ifwop(i),frdodf,imodl,
* ENION1(I),ENION2(I),
* SQUANT1(I),SQUANT2(I),
* LQUANT1(I),LQUANT2(I),
* PQUANT1(I),PQUANT2(I)
if(ifwop(i).lt.0.and.i.ne.nlast(ie))
* call quit('conflict in negative ifwop')
if(ifwop(i).ge.2) ifwop(i)=0
IF(I.LT.NKI) THEN
C check and, if necessary, transform ENION(I)
E=ENION(I)
E0=E
IF(E.LT.0.) THEN
E=-E
E0=E
END IF
IF(E.EQ.0.) THEN
c if(izz.le.2) then
if(izz.le.-2) then
w0=wi1
if(izz.eq.2) w0=wi2
WL0=W0*X
IF(WL0.GT.2000.) THEN
ALM=1.E8/(WL0*WL0)
XN1=64.328+29498.1/(146.-ALM)+255.4/(41.-ALM)
WL0=WL0/(XN1*1.D-6+1.D0)
END IF
E0=H*CL*1.D8/WL0
else
E0=EH*IZZ*IZZ/X
end if
END IF
IF(E.GT.1.D-7.AND.E.LT.100.) E0=1.6018D-12*E
IF(E.GT.100..AND.E.LT.1.D7) E0=1.9857D-16*E
IF(E.GT.1.D7) E0=H*E
IF(ENION(I).GE.0.) THEN
ENION(I)=E0
ELSE
ENION(I)=-E0
ENDIF
C check and, if necessary, transform ENION1(I)
E=ENION1(I)
E0=E
IF(E.LT.0.) THEN
E=-E
E0=E
END IF
IF(E.EQ.0.) THEN
c if(izz.le.2) then
if(izz.le.-2) then
w0=wi1
if(izz.eq.2) w0=wi2
WL0=W0*X
IF(WL0.GT.2000.) THEN
ALM=1.E8/(WL0*WL0)
XN1=64.328+29498.1/(146.-ALM)+255.4/(41.-ALM)
WL0=WL0/(XN1*1.D-6+1.D0)
END IF
E0=H*CL*1.D8/WL0
else
E0=EH*IZZ*IZZ/X
end if
END IF
IF(E.GT.1.D-7.AND.E.LT.100.) E0=1.6018D-12*E
IF(E.GT.100..AND.E.LT.1.D7) E0=1.9857D-16*E
IF(E.GT.1.D7) E0=H*E
IF(ENION1(I).GE.0.) THEN
ENION1(I)=E0
ELSE
ENION1(I)=-E0
ENDIF
C check and, if necessary, transform ENION2(I)
E=ENION2(I)
E0=E
IF(E.LT.0.) THEN
E=-E
E0=E
END IF
IF(E.EQ.0.) THEN
c if(izz.le.2) then
if(izz.le.-2) then
w0=wi1
if(izz.eq.2) w0=wi2
WL0=W0*X
IF(WL0.GT.2000.) THEN
ALM=1.E8/(WL0*WL0)
XN1=64.328+29498.1/(146.-ALM)+255.4/(41.-ALM)
WL0=WL0/(XN1*1.D-6+1.D0)
END IF
E0=H*CL*1.D8/WL0
else
E0=EH*IZZ*IZZ/X
end if
END IF
IF(E.GT.1.D-7.AND.E.LT.100.) E0=1.6018D-12*E
IF(E.GT.100..AND.E.LT.1.D7) E0=1.9857D-16*E
IF(E.GT.1.D7) E0=H*E
IF(ENION2(I).GE.0.) THEN
ENION2(I)=E0
ELSE
ENION2(I)=-E0
ENDIF
C
C Enforce an energy tolerance of 10% when the input files
C do not have any (e.g. pure levels in MODION models)
C
IF((ENION1(I)-ENION(I))/ENION(I).LT.1e-6)
* ENION1(I)=ENION(I)*(1.+ERANGE)
IF((ENION(I)-ENION2(I))/ENION(I).LT.1e-6)
* ENION2(I)=ENION(I)*(1.-ERANGE)
C
C Convert ENION1,ENION2 to cm-1 from the ground level
C so they can be directly used in NLTSET
C
ENION1(I)=(ENION(N0I)-ENION1(I))*ECONST
ENION2(I)=(ENION(N0I)-ENION2(I))*ECONST
IF(G(I).EQ.0.) G(I)=2.D0*X
IF(NQUANT(I).EQ.0) NQUANT(I)=IQ
ELSE
c if(modref.ge.0) nref(iatm(i))=nka(iatm(i))
IF(G(I).EQ.0..AND.NKI.EQ.NKA(IATM(I))) G(I)=1.
END IF
if(ifwop(i).lt.0) then
write(*,*)'RDATA: IFWOP<0 and ILIMITS is not 0'
stop
enion(i)=0.
ff(ie)=0.
IMER=IMER+1
IMRG(I)=IMER
IIMER(IMER)=I
endif
fropc(i)=0.
END DO
END IF
c
C ----------------------------------------------------------------------
C
C skip lines if more levels than needed, and skip the continuum transition
C label
C
5 READ(IUNIT,501) A
IF(A.NE.'*') GO TO 5
II0=NFIRST(ION)-1
ILLIM=NLLIM(ION)+II0
JCORR=0
C
C -----------------------------------------------------
C input parameters for continuum transitions
C -----------------------------------------------------
C
10 CONTINUE
c READ(IUNIT,*,END=20,ERR=15) II,JJ,MODE,IFANCY,ICOLIS,
c * IFRQ0,IFRQ1,OSC,CPARAM
READ(IUNIT,'(A100)',END=20) DUM
READ(DUM,*,IOSTAT=KSTAT) II,JJ,MODE,
* IFANCY,ICOLIS,
* IFRQ0,IFRQ1,OSC,CPARAM,NCOL
IF (KSTAT.NE.0) THEN
READ(DUM,*,ERR=15) II,JJ,MODE,
* IFANCY,ICOLIS,
* IFRQ0,IFRQ1,OSC,CPARAM
NCOL=0
END IF
IF (NCOL.NE.0) THEN
DO IIC=1,NCOL
READ(IUNIT,*) ITYPE, NCTEMP
READ(IUNIT,*) (CTEMP(IFIT),IFIT=1,NCTEMP)
READ(IUNIT,*) (CRATE(IFIT),IFIT=1,NCTEMP)
END DO
END IF
c
IF(II.EQ.0) THEN
IF(JJ.EQ.0) GO TO 30
II0=JJ-1
GO TO 10
END IF
IF(IABS(MODE).GT.100) READ(IUNIT,*) FR0INP
if(iabs(mode).eq.2) then
READ(IUNIT,*) kdo
go to 10
end if
IF(IFANCY.GT.49.and.ifancy.lt.100) IASV=1
if(iabs(mode).eq.3.or.iabs(mode).eq.4) go to 10
IF(IABS(MODE).EQ.5 .OR. IABS(MODE).EQ.15) THEN
READ(IUNIT,*) FROPCI
if(ion.eq.ielh) then
if(ii.eq.1.and.cutlym.ne.0) fropci=-cutlym
if(ii.eq.2.and.cutbal.ne.0) fropci=-cutbal
end if
if(abs(fropci).lt.1.e10) fropci=2.997925e18/fropci
END IF
IF(II.EQ.1) JCORR=NLEVS(ION)+1-JJ
II=II+II0
JJ=JJ+II0+JCORR
FROPC(II)=FROPCI
N0I=NFIRST(IE)
NKI=NNEXT(IE)
IF(JJ.GE.NKI) THEN
LPC=.FALSE.
IF(IELHE2.GE.0) THEN
IF(II.GE.NFIRST(IELHE2).AND.II.LE.NLAST(IELHE2)
* .AND.IFWOP(II).GE.0) LPC=.TRUE.
END IF
IF(II.GE.N0HN.AND.II.LE.N1H.AND.IFWOP(II).GE.0) LPC=.TRUE.
IF(LPC) THEN
MODE=5
XI=NQUANT(II)
X2=XI+3.
if(ii.ge.8) x2=xi+2.
IF(FROPC(II).GE.0.) THEN
FROPC(II)=ENION(II)/6.6256E-27*(1.-XI*XI/(X2*X2))
ELSE
FROPC(II)=ABS(FROPC(II))
END IF
c write(6,671) ii,fropc(ii),enion(ii)/h,2.997925e18/fropc(ii)
c 671 format(i4,1p2e13.5,0pf10.1)
END IF
END IF
IF(MODE.EQ.0) THEN
IF(II.LT.NLAST(ION)) GO TO 10
IF(II.EQ.NLAST(ION)) GO TO 15
END IF
C
C -----------------------------------------------------
C Additional input parameters for continuum transitions
C -----------------------------------------------------
C
C Only for IFANCY = 2, 3, or 4
C S0BF, ALFBF, BETBF, GAMBF - parameters for evaluation the
C photoionization cross-section
C
IF(IFANCY.GE.2.AND.IFANCY.LE.4)
* READ(IUNIT,*) S0BF(II),ALFBF(II),BETBF(II),GAMBF(II)
C
C -----------------------------------------------------
C Additional input parameters for continuum transitions -TOPBASE DATA
C -----------------------------------------------------
C
C Only for IFANCY > 100 there are IFANCY-100 fit points
C
C XTOP(MFIT,MCROSS) - x = alog10(nu/nu0) of a fit point
C CTOP(MFIT,MCROSS) - sigma = alog10(sigma/10^-18) of a fit point
C
C there are IFANCY-100 fit points
C
IF(IFANCY.GT.100) THEN
NFIT=IFANCY-100
IF(NFIT.GT.MFIT) call quit(' nfit too large (TOPBASE fits)')
READ(IUNIT,*) (XTOP(IFIT,II),IFIT=1,NFIT)
READ(IUNIT,*) (CTOP(IFIT,II),IFIT=1,NFIT)
END IF
IBF(II)=IFANCY
INDEXP(II)=IABS(MODE)
IF(II.LT.NLAST(ION)) GO TO 10
15 READ(IUNIT,501) A
IF(A.NE.'*') GO TO 15
C
C -----------------------------------------------------------
C Input parameters for line transitions
C -----------------------------------------------------------
C
20 CONTINUE
READ(IUNIT,*,END=30,ERR=30) II,JJ,MODE,IFANCY,ICOLIS,
* IFRQ0,IFRQ1,OSC,CPARAM
IF(IABS(MODE).GT.100) READ(IUNIT,*) FR0INP
IF(JJ.GT.NLEVS(ION)) THEN
IF(IABS(MODE).EQ.2) THEN
READ(IUNIT,*) K1,K2,K3,X1,X2,X3,K4
GO TO 20
END IF
IF(IABS(MODE).EQ.1) READ(IUNIT,*) LCMP
IF(IABS(IFANCY).EQ.1) READ(IUNIT,*) GAMR,STARK1,STARK2,
* STARK3,VDWH
GO TO 20
END IF
if(iabs(mode).eq.2) then
READ(IUNIT,*) K1,K2,K3,X1,X2,X3,K4
go to 20
end if
if(iabs(mode).eq.3.or.iabs(mode).eq.4) go to 20
IF(MODE.EQ.0) GO TO 20
C
C -----------------------------------------------------------
C Additional input parameters for "clasical" line transitions
C (i.e. those not represented by ODF's - ie ABS(MODE)=1)
C -----------------------------------------------------------
C
READ(IUNIT,*) LCOMP,INTMOD,NF,XMAX,TSTD
IF(IABS(IFANCY).EQ.1) READ(IUNIT,*) GAMR,STARK1,STARK2,
* STARK3,VDWH
GO TO 20
C
30 CONTINUE
close(iunit)
RETURN
END
c
c
C *****************************************************************
c
C
SUBROUTINE NSTPAR(FINSTD)
C ==========================
C
C settiing up the default values of various input flags, and
C input of non-standard values of various input flags and parameters
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
common/hhebrd/sthe,nunhhe
common/gompar/hglim,ihgom
common/brdstd/gsstd,gwstd
C
PARAMETER(MVAR=44)
PARAMETER(INPFI=4)
CHARACTER*(*) FINSTD
CHARACTER*6 PVALUE(MVAR)
CHARACTER*80 TEXT
CHARACTER VARNAM(MVAR)*6
CHARACTER*20 BLNK
CHARACTER*6 BLNK6
C
DATA VARNAM /'IATREF',
* 'BERGFC','IHYDPR','NUNHHE','STHE ',
* 'ND ','NFREQS','IBFAC ',
* 'INTRPL','ICHANG','IFEOS ',
* 'IOPHMI','IOPH2P','IOPHEM','IOPCH ','IOPOH ',
* 'IOPH2M','IOH2H2','IOH2HE','IOH2H1','IOHHE ',
* 'IRSCT ','IRSCH2','IRSCHE',
* 'TRAD ','WDIL ',
* 'VTB ','IFMOL','TMOLIM',
* 'MOLTAB','IRWTAB','IIRWIN','IPFEXO',
* 'CUTLYM','CUTBAL','IHXENB',
* 'GSSTD ','GWSTD ',
* 'IHGOM ','HGLIM ',
* 'ERANGE',
* 'ISPICK','ILPICK','IPPICK'/
C
DATA PVALUE /' 1',
* ' 1.D0',' 0',' 0',' 1.e19',
* ' 70',' 120',' 0',
* ' 0',' 0',' 0',
* ' 1',' 1',' 1',' 1',' 1',
* ' 1',' 1',' 1',' 1',' 1',
* ' 1',' 1',' 1',
* ' 0.',' 0.',
* ' 2.',' 1',' 9000.',
* ' 1',' 1',' 1',' 1',
* ' 0.',' 0.',' 0',
* '3.1e-5','1.0e-7',
* ' 0',' 1.e18',
* ' 0.10',
* ' 1',' 1',' 1'/
C
DATA BLNK/' '/,BLNK6/' '/
C
IF(FINSTD.NE.BLNK)
* OPEN(UNIT=INPFI,FILE=FINSTD,STATUS='UNKNOWN')
C
INDV=-1
C
C go through the input file line by line
c
write(6,601)
601 format(/' INPUT KEYWORD PARAMETERS:'/
* ' -------------------------')
c
10 CONTINUE
K0=1
READ(INPFI,500,END=70,ERR=70) TEXT
500 FORMAT(A)
WRITE(6,*) TEXT
20 CONTINUE
CALL GETWRD(TEXT,K0,K1,K2)
IF(K1.EQ.0) GO TO 60
K0=K2+2
IF(TEXT(K1:K2).EQ.'=') GO TO 20
INDV=-INDV
IF(INDV.EQ.1) THEN
DO 40 I=1,MVAR
IF(TEXT(K1:K2).EQ.VARNAM(I)(1:K2-K1+1)) GO TO 50
40 CONTINUE
CALL GETWRD(TEXT,K0,K1,K2)
IF(K1.EQ.0) THEN
K0=1
45 READ(INPFI,500,END=70) TEXT
CALL GETWRD(TEXT,K0,K1,K2)
IF(K1.EQ.0) GO TO 45
END IF
K0=K2+2
INDV=-INDV
GO TO 20
50 CONTINUE
IVAR=I
ELSE
PVALUE(IVAR)=BLNK6
PVALUE(IVAR)(6-K2+K1:6)=TEXT(K1:K2)
END IF
GO TO 20
60 CONTINUE
GO TO 10
70 CONTINUE
C
DO I=1,MVAR
WRITE(84,684) PVALUE(I)
684 FORMAT(1X,A)
END DO
C
CLOSE(UNIT=84)
REWIND(84)
READ(84,*)
* IATREF,
* BERGFC,IHYDPR,NUNHHE,STHE ,
* ND ,NFREQS,IBFAC ,
* INTRPL,ICHANG,IFEOS ,
* IOPHMI,IOPH2P,IOPHEM,IOPCH ,IOPOH ,
* IOPH2M,IOH2H2,IOH2HE,IOH2H1,IOHHE ,
* IRSCT ,IRSCH2,IRSCHE,
* TRAD ,WDIL ,
* VTB ,IFMOL ,TMOLIM,
* MOLTAB,IRWTAB,IIRWIN,IPFEXO,
* CUTLYM,CUTBAL,IHXENB,
* GSSTD ,GWSTD ,
* IHGOM ,HGLIM ,
* ERANGE,
* ISPICK,ILPICK,IPPICK
C
if(imode.le.-3) then
irsct=0
irsche=0
irsch2=0
end if
C
RETURN
END
C
C
C ***************************************************************
C
C
subroutine count_words(cadena,n)
C
C Counts the number of words separated by blanks in a string
C
character*1000 cadena
character*1 a,b
n=0
a=cadena(1:1)
if (a.ne.' ') n=1
do i=2,len(cadena)
b=cadena(i:i)
if(b.ne.' '.and.a.eq.' ') n=n+1
a=b
enddo
end
C
C
C ***************************************************************
C
C
SUBROUTINE GETWRD(TEXT,K0,K1,K2)
C
C FINDS NEXT WORD IN TEXT FROM INDEX K0. NEXT WORD IS TEXT(K1:K2)
C THE NEXT WORD STARTS AT THE FIRST ALPHANUMERIC CHARACTER AT K0
C OR AFTER. IT ENDS WITH THE LAST ALPHANUMERIC CHARACTER IN A ROW
C FROM THE START
C
C TAKEN FROM MULTI - M. CARLSSON (1976)
C
C INCLUDE 'IMPLIC.FOR'
PARAMETER (MSEPAR=7)
CHARACTER*(*) TEXT
CHARACTER SEPAR(MSEPAR)
DATA SEPAR/' ','(',')','=','*','/',','/
C
K1=0
DO 400 I=K0,LEN(TEXT)
IF(K1.EQ.0) THEN
DO 100 J=1,MSEPAR
IF(TEXT(I:I).EQ.SEPAR(J)) GOTO 200
100 CONTINUE
K1=I
C
C NOT START OF WORD
C
200 CONTINUE
ELSE
DO 300 J=1,MSEPAR
IF(TEXT(I:I).EQ.SEPAR(J)) GOTO 500
300 CONTINUE
ENDIF
400 CONTINUE
C
C NO NEW WORD. RETURN K1=K2=0
C
K1=0
K2=0
GOTO 999
C
C NEW WORD IN TEXT(K1:I-1)
C
500 CONTINUE
K2=I-1
C
999 CONTINUE
RETURN
END
C
C
C ****************************************************************
C
C
SUBROUTINE STATE0(MODOLD)
C =========================
C
C Initialization of the basic parameters for the Saha equation
C
INCLUDE 'PARAMS.FOR'
parameter (enhe1=24.5799,enhe2=54.3999)
character*4 DYP
character*80 dum
DIMENSION D(3,MATOM),XI(8,MATOM),DYP(MATOM),
* abun0(matom),abun1(matom)
C
DATA DYP/' H ',' He ',' Li ',' Be ',' B ',' C ',
* ' N ',' O ',' F ',' Ne ',' Na ',' Mg ',
* ' Al ',' Si ',' P ',' S ',' Cl ',' Ar ',
* ' K ',' Ca ',' Sc ',' Ti ',' V ',' Cr ',
* ' Mn ',' Fe ',' Co ',' Ni ',' Cu ',' Zn ',
* ' Ga ',' Ge ',' As ',' Se ',' Br ',' Kr ',
* ' Rb ',' Sr ',' Y ',' Zr ',' Nb ',' Mo ',
* ' Tc ',' Ru ',' Rh ',' Pd ',' Ag ',' Cd ',
* ' In ',' Sn ',' Sb ',' Te ',' I ',' Xe ',
* ' Cs ',' Ba ',' La ',' Ce ',' Pr ',' Nd ',
* ' Pm ',' Sm ',' Eu ',' Gd ',' Tb ',' Dy ',
* ' Ho ',' Er ',' Tm ',' Yb ',' Lu ',' Hf ',
* ' Ta ',' W ',' Re ',' Os ',' Ir ',' Pt ',
* ' Au ',' Hg ',' Tl ',' Pb ',' Bi ',' Po ',
* ' At ',' Rn ',' Fr ',' Ra ',' Ac ',' Th ',
* ' Pa ',' U ',' Np ',' Pu ',' Am ',' Cm ',
* ' Bk ',' Cf ',' Es '/
C
C Standard atomic constants for first 99 species
C Abundances for the first 30 from Grevesse & Sauval,
C (1998, Space Sci. Rev. 85, 161)
C
C Element Atomic Solar Std.
C weight abundance highest
C
C ionization stage
DATA D/ 1.008, 1.0D0, 2.,
* 4.003, 1.00D-1, 3.,
* 6.941, 1.26D-11, 3.,
* 9.012, 2.51D-11, 3.,
* 10.810, 5.0D-10, 4.,
* 12.011, 3.31D-4, 5.,
* 14.007, 8.32D-5, 5.,
* 16.000, 6.76D-4, 5.,
* 18.918, 3.16D-8, 4.,
* 20.179, 1.20D-4, 4.,
* 22.990, 2.14D-6, 4.,
* 24.305, 3.80D-5, 4.,
* 26.982, 2.95D-6, 4.,
* 28.086, 3.55D-5, 5.,
* 30.974, 2.82D-7, 5.,
* 32.060, 2.14D-5, 5.,
* 35.453, 3.16D-7, 5.,
* 39.948, 2.52D-6, 5.,
* 39.098, 1.32D-7, 5.,
* 40.080, 2.29D-6, 5.,
* 44.956, 1.48D-9, 5.,
* 47.900, 1.05D-7, 5.,
* 50.941, 1.00D-8, 5.,
* 51.996, 4.68D-7, 5.,
* 54.938, 2.45D-7, 5.,
* 55.847, 3.16D-5, 5.,
* 58.933, 8.32D-8, 5.,
* 58.700, 1.78D-6, 5.,
* 63.546, 1.62D-8, 5.,
* 65.380, 3.98D-8, 5.,
* 69.72 , 1.34896324e-09 , 3.,
* 72.60 , 4.26579633e-09 , 3.,
* 74.92 , 2.34422821e-10 , 3.,
* 78.96 , 2.23872066e-09 , 3.,
* 79.91 , 4.26579633e-10 , 3.,
* 83.80 , 1.69824373e-09 , 3.,
* 85.48 , 2.51188699e-10 , 3.,
* 87.63 , 8.51138173e-10 , 3.,
* 88.91 , 1.65958702e-10 , 3.,
* 91.22 , 4.07380181e-10 , 3.,
* 92.91 , 2.51188630e-11 , 3.,
* 95.95 , 9.12010923e-11 , 3.,
* 99.00 , 1.00000000e-24 , 3.,
* 101.1 , 6.60693531e-11 , 3.,
* 102.9 , 1.23026887e-11 , 3.,
* 106.4 , 5.01187291e-11 , 3.,
* 107.9 , 1.73780087e-11 , 3.,
* 112.4 , 5.75439927e-11 , 3.,
* 114.8 , 6.60693440e-12 , 3.,
* 118.7 , 1.38038460e-10 , 3.,
* 121.8 , 1.09647810e-11 , 3.,
* 127.6 , 1.73780087e-10 , 3.,
* 126.9 , 3.23593651e-11 , 3.,
* 131.3 , 1.69824373e-10 , 3.,
* 132.9 , 1.31825676e-11 , 3.,
* 137.4 , 1.62181025e-10 , 3.,
* 138.9 , 1.58489337e-11 , 3.,
* 140.1 , 4.07380293e-11 , 3.,
* 140.9 , 6.02559549e-12 , 3.,
* 144.3 , 2.95120943e-11 , 3.,
* 147.0 , 1.00000000e-24 , 3.,
* 150.4 , 9.33254366e-12 , 3.,
* 152.0 , 3.46736869e-12 , 3.,
* 157.3 , 1.17489770e-11 , 3.,
* 158.9 , 2.13796216e-12 , 3.,
* 162.5 , 1.41253747e-11 , 3.,
* 164.9 , 3.16227767e-12 , 3.,
* 167.3 , 8.91250917e-12 , 3.,
* 168.9 , 1.34896287e-12 , 3.,
* 173.0 , 8.91250917e-12 , 3.,
* 175.0 , 1.31825674e-12 , 3.,
* 178.5 , 5.37031822e-12 , 3.,
* 181.0 , 1.34896287e-12 , 3.,
* 183.9 , 4.78630102e-12 , 3.,
* 186.3 , 1.86208719e-12 , 3.,
* 190.2 , 2.39883290e-11 , 3.,
* 192.2 , 2.34422885e-11 , 3.,
* 195.1 , 4.78630036e-11 , 3.,
* 197.0 , 6.76082952e-12 , 3.,
* 200.6 , 1.23026887e-11 , 3.,
* 204.4 , 6.60693440e-12 , 3.,
* 207.2 , 1.12201834e-10 , 3.,
* 209.0 , 5.12861361e-12 , 3.,
* 210.0 , 1.00000000e-24 , 3.,
* 211.0 , 1.00000000e-24 , 3.,
* 222.0 , 1.00000000e-24 , 3.,
* 223.0 , 1.00000000e-24 , 3.,
* 226.1 , 1.00000000e-24 , 3.,
* 227.1 , 1.00000000e-24 , 3.,
* 232.0 , 1.20226443e-12 , 3.,
* 231.0 , 1.00000000e-24 , 3.,
* 238.0 , 3.23593651e-13 , 3.,
* 237.0 , 1.00000000e-24 , 3.,
* 244.0 , 1.00000000e-24 , 3.,
* 243.0 , 1.00000000e-24 , 3.,
* 247.0 , 1.00000000e-24 , 3.,
* 247.0 , 1.00000000e-24 , 3.,
* 251.0 , 1.00000000e-24 , 3.,
* 254.0 , 1.00000000e-24 , 3./
c
data abun0 /
* 12.00,10.93, 1.05, 1.38, 2.70, 8.39, 7.78, 8.66, 4.56, 7.84,
* 6.17, 7.53, 6.37, 7.51, 5.36, 7.14, 5.50, 6.18, 5.08, 6.31,
* 3.05, 4.90, 4.00, 5.64, 5.39, 7.45, 4.92, 6.23, 4.21, 4.60,
* 2.88, 3.58, 2.29, 3.33, 2.56, 3.28, 2.60, 2.92, 2.21, 2.59,
* 1.42, 1.92,-9.99, 1.84, 1.12, 1.69, 0.94, 1.77, 1.60, 2.00,
* 1.00, 2.19, 1.51, 2.27, 1.07, 2.17, 1.13, 1.58, 0.71, 1.45,
* -9.99, 1.01, 0.52, 1.12, 0.28, 1.14, 0.51, 0.93, 0.00, 1.08,
* 0.06, 0.88,-0.17, 1.11, 0.23, 1.45, 1.38, 1.64, 1.01, 1.13,
* 0.90, 2.00, 0.65,-9.99,-9.99,-9.99,-9.99,-9.99,-9.99, 0.06,
* -9.99,-0.52,-9.99,-9.99,-9.99,-9.99,-9.99,-9.99,-9.99/
c
data abun1 /
* 12.00,10.93, 3.26, 1.38, 2.79, 8.43, 7.83, 8.69, 4.56, 7.93,
* 6.24, 7.60, 6.45, 7.51, 5.41, 7.12, 5.50, 6.40, 5.08, 6.34,
* 3.15, 4.95, 3.93, 5.64, 5.43, 7.50, 4.99, 6.22, 4.19, 4.56,
* 3.04, 3.65, 2.30, 3.34, 2.54, 3.25, 2.36, 2.87, 2.21, 2.58,
* 1.46, 1.88,-9.99, 1.75, 1.06, 1.65, 1.20, 1.71, 0.76, 2.04,
* 1.01, 2.18, 1.55, 2.24, 1.08, 2.18, 1.10, 1.58, 0.72, 1.42,
* -9.99, 0.96, 0.52, 1.07, 0.30, 1.10, 0.48, 0.92, 0.10, 0.92,
* 0.10, 0.85,-0.12, 0.65, 0.26, 1.40, 1.38, 1.62, 0.80, 1.17,
* 0.77, 2.04, 0.65,-9.99,-9.99,-9.99,-9.99,-9.99,-9.99, 0.06,
* -9.99,-0.54,-9.99,-9.99,-9.99,-9.99,-9.99,-9.99,-9.99/
C
C
C Ionization potentials for first 99 species:
DATA XI/
C
C Element Ionization potentials (eV)
C I II III IV V VI VII VIII
C
* 13.595, 0. , 0. , 0. , 0. , 0. , 0. , 0. ,
* 24.580, 54.400, 0. , 0. , 0. , 0. , 0. , 0. ,
* 5.392, 75.619,122.451, 0. , 0. , 0. , 0. , 0. ,
* 9.322, 18.206,153.850,217.713, 0. , 0. , 0. , 0. ,
* 8.296, 25.149, 37.920,259.298,340.22, 0. , 0. , 0. ,
* 11.264, 24.376, 47.864, 64.476,391.99,489.98, 0. , 0. ,
* 14.530, 29.593, 47.426, 77.450, 97.86,551.93,667.03, 0. ,
* 13.614, 35.108, 54.886, 77.394,113.87,138.08,739.11,871.39,
* 17.418, 34.980, 62.646, 87.140,114.21,157.12,185.14,953.6 ,
* 21.559, 41.070, 63.500, 97.020,126.30,157.91,207.21,239.0 ,
* 5.138, 47.290, 71.650, 98.880,138.37,172.09,208.44,264.16,
* 7.664, 15.030, 80.120,102.290,141.23,186.49,224.9 ,265.96,
* 5.984, 18.823, 28.440,119.960,153.77,190.42,241.38,284.53,
* 8.151, 16.350, 33.460, 45.140,166.73,205.11,246.41,303.07,
* 10.484, 19.720, 30.156, 51.354, 65.01,220.41,263.31,309.26,
* 10.357, 23.400, 35.000, 47.290, 72.50, 88.03,280.99,328.8 ,
* 12.970, 23.800, 39.900, 53.500, 67.80, 96.7 ,114.27,348.3 ,
* 15.755, 27.620, 40.900, 59.790, 75.00, 91.3 ,124.0 ,143.46,
* 4.339, 31.810, 46.000, 60.900, 82.6 , 99.7 ,118.0 ,155.0 ,
* 6.111, 11.870, 51.210, 67.700, 84.39,109.0 ,128.0 ,147.0 ,
* 6.560, 12.890, 24.750, 73.900, 92.0 ,111.1 ,138.0 ,158.7 ,
* 6.830, 13.630, 28.140, 43.240, 99.8 ,120.0 ,140.8 ,168.5 ,
* 6.740, 14.200, 29.700, 48.000, 65.2 ,128.9 ,151.0 ,173.7 ,
* 6.763, 16.490, 30.950, 49.600, 73.0 , 90.6 ,161.1 ,184.7 ,
* 7.432, 15.640, 33.690, 53.000, 76.0 , 97.0 ,119.24,196.46,
* 7.870, 16.183, 30.652, 54.800, 75.0 , 99.1 ,125.0 ,151.06,
* 7.860, 17.060, 33.490, 51.300, 79.5 ,102.0 ,129.0 ,157.0 ,
* 7.635, 18.168, 35.170, 54.900, 75.5 ,108.0 ,133.0 ,162.0 ,
* 7.726, 20.292, 36.830, 55.200, 79.9 ,103.0 ,139.0 ,166.0 ,
* 9.394, 17.964, 39.722, 59.400, 82.6 ,108.0 ,134.0 ,174.0 ,
* 6.000, 20.509, 30.700, 99.99,99.99,99.99,99.99,99.99,
* 7.89944,15.93462, 34.058, 45.715,99.99,99.99,99.99,99.99,
* 9.7887, 18.5892, 28.351, 99.99,99.99,99.99,99.99,99.99,
* 9.750,21.500, 32.000, 99.99,99.99,99.99,99.99,99.99,
* 11.839,21.600, 35.900, 99.99,99.99,99.99,99.99,99.99,
* 13.995,24.559, 36.900, 99.99,99.99,99.99,99.99,99.99,
* 4.175,27.500, 40.000, 99.99,99.99,99.99,99.99,99.99,
* 5.692,11.026, 43.000, 99.99,99.99,99.99,99.99,99.99,
* 6.2171,12.2236, 20.5244,60.607,99.99,99.99,99.99,99.99,
* 6.63390,13.13,23.17,34.418,80.348,99.99,99.99,99.99,
* 6.879,14.319, 25.039, 99.99,99.99,99.99,99.99,99.99,
* 7.099,16.149, 27.149, 99.99,99.99,99.99,99.99,99.99,
* 7.280,15.259, 30.000, 99.99,99.99,99.99,99.99,99.99,
* 7.364,16.759, 28.460, 99.99,99.99,99.99,99.99,99.99,
* 7.460,18.070, 31.049, 99.99,99.99,99.99,99.99,99.99,
* 8.329,19.419, 32.920, 99.99,99.99,99.99,99.99,99.99,
* 7.574,21.480, 34.819, 99.99,99.99,99.99,99.99,99.99,
* 8.990,16.903, 37.470, 99.99,99.99,99.99,99.99,99.99,
* 5.784,18.860, 28.029, 99.99,99.99,99.99,99.99,99.99,
* 7.342,14.627, 30.490,72.3,99.99,99.99,99.99,99.99,
* 8.639,16.500, 25.299,44.2,55.7,99.99,99.99,99.99,
* 9.0096,18.600, 27.96, 37.4,58.7,99.99,99.99,99.99,
* 10.454,19.090, 32.000, 99.99,99.99,99.99,99.99,99.99,
* 12.12984,20.975,31.05,45.,54.14,99.99,99.99,99.99,
* 3.893,25.100, 35.000, 99.99,99.99,99.99,99.99,99.99,
* 5.210,10.000, 37.000, 99.99,99.99,99.99,99.99,99.99,
* 5.580,11.060, 19.169, 99.99,99.99,99.99,99.99,99.99,
* 5.650,10.850, 20.080, 99.99,99.99,99.99,99.99,99.99,
* 5.419,10.550, 23.200, 99.99,99.99,99.99,99.99,99.99,
* 5.490,10.730, 20.000, 99.99,99.99,99.99,99.99,99.99,
* 5.550,10.899, 20.000, 99.99,99.99,99.99,99.99,99.99,
* 5.629,11.069, 20.000, 99.99,99.99,99.99,99.99,99.99,
* 5.680,11.250, 20.000, 99.99,99.99,99.99,99.99,99.99,
* 6.159,12.100, 20.000, 99.99,99.99,99.99,99.99,99.99,
* 5.849,11.519, 20.000, 99.99,99.99,99.99,99.99,99.99,
* 5.930,11.670, 20.000, 99.99,99.99,99.99,99.99,99.99,
* 6.020,11.800, 20.000, 99.99,99.99,99.99,99.99,99.99,
* 6.099,11.930, 20.000, 99.99,99.99,99.99,99.99,99.99,
* 6.180,12.050, 23.700, 99.99,99.99,99.99,99.99,99.99,
* 6.250,12.170, 20.000, 99.99,99.99,99.99,99.99,99.99,
* 6.099,13.899, 19.000, 99.99,99.99,99.99,99.99,99.99,
* 7.000,14.899, 23.299, 99.99,99.99,99.99,99.99,99.99,
* 7.879,16.200, 24.000, 99.99,99.99,99.99,99.99,99.99,
* 7.86404,17.700, 25.000, 99.99,99.99,99.99,99.99,99.99,
* 7.870,16.600, 26.000, 99.99,99.99,99.99,99.99,99.99,
* 8.500,17.000, 27.000, 99.99,99.99,99.99,99.99,99.99,
* 9.100,20.000, 28.000, 99.99,99.99,99.99,99.99,99.99,
* 8.95868,18.563,33.227, 99.99,99.99,99.99,99.99,99.99,
* 9.220,20.500, 30.000, 99.99,99.99,99.99,99.99,99.99,
* 10.430,18.750, 34.200, 99.99,99.99,99.99,99.99,99.99,
* 6.10829,20.4283,29.852,50.72,99.99,99.99,99.99,99.99,
* 7.416684,15.0325,31.9373,42.33,69.,99.99,99.99,99.99,
* 7.285519,16.679, 25.563,45.32,56.0,88.,99.99,99.99,
* 8.430,19.000, 27.000, 99.99,99.99,99.99,99.99,99.99,
* 9.300,20.000, 29.000, 99.99,99.99,99.99,99.99,99.99,
* 10.745,20.000, 30.000, 99.99,99.99,99.99,99.99,99.99,
* 4.000,22.000, 33.000, 99.99,99.99,99.99,99.99,99.99,
* 5.276,10.144, 34.000, 99.99,99.99,99.99,99.99,99.99,
* 6.900,12.100, 20.000, 99.99,99.99,99.99,99.99,99.99,
* 6.000,12.000, 20.000, 99.99,99.99,99.99,99.99,99.99,
* 6.000,12.000, 20.000, 99.99,99.99,99.99,99.99,99.99,
* 6.000,12.000, 20.000, 99.99,99.99,99.99,99.99,99.99,
* 6.000,12.000, 20.000, 99.99,99.99,99.99,99.99,99.99,
* 6.000,12.000, 20.000, 99.99,99.99,99.99,99.99,99.99,
* 6.000,12.000, 20.000, 99.99,99.99,99.99,99.99,99.99,
* 6.000,12.000, 20.000, 99.99,99.99,99.99,99.99,99.99,
* 6.000,12.000, 20.000, 99.99,99.99,99.99,99.99,99.99,
* 6.000,12.000, 20.000, 99.99,99.99,99.99,99.99,99.99,
* 6.000,12.000, 20.000, 99.99,99.99,99.99,99.99,99.99/
C
C
c DATA XIFE /8*0.,233.6,262.1/
c DATA NTOTA /99/
C
C An element (hydrogen through zinc) can be considered in one of
C the three following options:
C 1. explicitly - some of energy levels of some of its ionization
C states are considered explicitly, ie. their
C populations are determined by solving statistical
C equilibrium
C 2. implicitly - the atom is assumed not to contribute to
C opacity; but is allowed to contribute to the
C total number of particles and to the total charge;
C the latter is evaluated assuming LTE ionization
C balance, ie. by solving a set of Saha equations
C 3. not considered at all
C
C Input:
C
C For each element from 1 (hydrogen) to NATOMS, the following
C parameters:
C
C MA = 0 - if the element is not considered (option 3)
C = 1 - if the element is non-explicit (option 2)
C = 2 - if the element is explicit (option 1)
C = 4 - if the element is semi-explicit (i.e. behaves
C like MA=2 for continua and MA=1 for lines
C NA0,NAK - have the meaning only for MA=2; indicate that the
C explicit energy levels of the present species have
C the indices between NA0 and NAK (NAK is thus the index
C of the highest ionization state, which is represented
C as one-level ion).
C ION - has the meaning for MA=1 only;
C if ION=0, standard number of ionization degrees is
C considered
C (counting the neutral state also; so for
C instance to treat all stages of He requires
C ION=3, which is a default anyhow).
C if ION>0, then ION ionization degrees is considered
C MODPF - mode of evaluation of partition functions
C = 0 - standard evaluation (see procedure PARTF)
C > 0 - partition functions evaluated from the
C Opacity Project ionization fraction tables
C < 0 - non-standard evaluation, by user supplied
C procedure PFSPEC
C ABN - if ABN=0, solar abundance is assumed (given above;
C abundance here is assumed as relative
C to hydrogen by number
C if ABN>0, non-solar abundance ABN is assumed; in an
C arbitrary scale
C if ABN<0, non-solar abundance ABN is assumed;
C (-ABN times the solar value)
C PFS - see above
C
iabset=0
read(ibuff,'(a80)') dum
read(dum,*,iostat=kstat) natoms,iabset
if(kstat.ne.0) READ(dum,*) NATOMS
WRITE(6,600)
IAT=0
IREF=0
IF(NATOMS.LT.0) NATOMS=-NATOMS
C
DO I=1,MATOM
DO J=1,MION0
RR(I,J)=0.
END DO
if(iabset.eq.1) then
d(2,i)=10.**(abun1(i)-12.)
else if(iabset.ne.2) then
d(2,i)=10.**(abun0(i)-12.)
end if
END DO
DO ID=1,ND
YTOT(ID)=0.
WMY(ID)=0.
END DO
C
DO I=1,MATOM
TYPAT(I)=DYP(I)
LGR(I)=.TRUE.
LRM(I)=.TRUE.
IATEX(I)=-1
IF(I.LE.NATOMS) THEN
IF(MODOLD.EQ.0) THEN
READ(IBUFF,*) MA,NA0,NAK,ION,MODPF(I),ABN,
* (PFSTD(J,I),J=1,5)
MA=IABS(MA)
ELSE
READ(IBUFF,*) MA,ABN,MODPF(I)
ION=0
END IF
ELSE IF(MOD(IMODE,10).LE.1.and.imode.ne.-4) THEN
MA=1
ABN=0.
ION=0
MODPF(I)=0
ELSE
MA=0
END IF
AMAS(I)=D(1,I)
ABND(I)=D(2,I)
if(iref.gt.0) abnd(i)=d(2,i)*abnd(iref)/d(2,iref)
IONIZ(I)=int(D(3,I))
isemex(i)=0
C
C increase the standard highest ionization for Teff>30,000 K
C
IF(TEFF.GT.3.D4) THEN
IF(I.LE.8) IONIZ(I)=I+1
IF(I.GT.8.and.i.le.30) IONIZ(I)=9
END IF
C
DO J=1,9
IF(J.LE.8) ENEV(I,J)=xi(J,I)
if(enev(i,j).ge.enhe2) then
inpot(i,j)=3
else if(enev(i,j).ge.enhe1) then
inpot(i,j)=2
else
inpot(i,j)=1
end if
END DO
IF(MA.GT.0) THEN
LGR(I)=.FALSE.
IF(ABN.GT.0) ABND(I)=ABN
IF(ABN.LT.0) ABND(I)=ABS(ABN)*D(2,I)
IF(ION.NE.0) IONIZ(I)=ION
IF(ABN.GT.1.E6) THEN
READ(IBUFF,*) (ABNDD(I,ID),ID=1,ND)
ELSE
DO ID=1,ND
ABNDD(I,ID)=ABND(I)
END DO
END IF
IF(MA.EQ.1) THEN
LRM(I)=.FALSE.
IATEX(I)=0
ELSE
IAT=IAT+1
IATEX(I)=IAT
if(ma.eq.4) isemex(i)=1
if(ma.eq.5) isemex(i)=2
IF(IAT.EQ.IATREF) THEN
IREF=I
DO ID=1,ND
ABNREF(ID)=ABNDD(I,ID)
END DO
END IF
C
C store parameters for explicit atoms
C
DO ID=1,ND
ABUND(IAT,ID)=ABNDD(I,ID)
END DO
AMASS(IAT)=AMAS(I)*HMASS
NUMAT(IAT)=I
IF(MODOLD.EQ.0) THEN
N0A(IAT)=NA0
NKA(IAT)=NAK
END IF
END IF
DO ID=1,ND
YTOT(ID)=YTOT(ID)+ABNDD(I,ID)
WMY(ID)=WMY(ID)+ABNDD(I,ID)*AMAS(I)
END DO
ABN=ABND(I)/D(2,I)
IF(MA.EQ.1) WRITE(6,601) I,TYPAT(I),ABND(I),ABN
IF(MA.EQ.2) WRITE(6,602) I,TYPAT(I),ABND(I),ABN,IAT,NA0,NAK
END IF
END DO
IF(MOD(IMODE,10).LE.1) NATOMS=MATOM
DO ID=1,ND
WMM(ID)=WMY(ID)*HMASS/YTOT(ID)
END DO
DO JJ=1,NATOMS
DO ID=1,ND
RELAB(JJ,ID)=1.
END DO
END DO
C
IF(ICHEMC.NE.1) go to 100
C
C abundance change with respect to the model atmosphere input
C (unit 5);
C this option is switched on by the parameter ICHEMC (read from
C unit 55), if it is non-zero, an additional input from
C unit 56 is required
C
C unit 56 input:
C
C NCHANG - number of chemical elements for which the abundances
C are going to be changes;
C
C then there are NCHANG records, each contains:
C
C I - atomic number
C ABN - new abundance; coded using the same conventions as in
C the standard input
C
READ(56,*,ERR=566,END=566) NCHANG
WRITE(6,610)
DO II=1,NCHANG
READ(56,*) I,ABN
ABND(I)=D(2,I)
IF(ABN.GT.0) ABND(I)=ABN
IF(ABN.LT.0) ABND(I)=-ABN*D(2,I)
if(abn.gt.1.) abnd(i)=10.**(abn-12.)
IF(ABN.GT.1.E6) THEN
READ(56,*) (ABNDD(I,ID),ID=1,ND)
ELSE
DO ID=1,ND
ABNDD(I,ID)=ABND(I)
END DO
END IF
LGR(I)=.FALSE.
IATX=IATEX(I)
IF(IATX.GT.0) THEN
DO ID=1,ND
RELAB(IATX,ID)=ABNDD(I,ID)/ABUND(IATX,ID)
ABUND(IATX,ID)=ABNDD(I,ID)
END DO
END IF
ABNR=ABND(I)/D(2,I)
WRITE(6,601) I,TYPAT(I),ABND(I),ABNR
END DO
C
C renormalize abundances to have the standard element abundance
C equal to unity
C
100 IF(IREF.LE.1) RETURN
write(6,620)
DO I=1,MATOM
IAT=IATEX(I)
IF(IAT.GE.0) THEN
DO ID=1,ND
ABNDD(I,ID)=ABNDD(I,ID)/ABNREF(ID)
YTOT(ID)=YTOT(ID)+ABNDD(I,ID)
WMY(ID)=WMY(ID)+ABNDD(I,ID)*AMAS(I)
END DO
ABNR=ABND(I)/D(2,I)
IF(IAT.EQ.0) THEN
WRITE(6,601) I,TYPAT(I),ABND(I),ABNR
ELSE
DO ID=1,ND
ABUND(IAT,ID)=ABNDD(I,ID)
END DO
WRITE(6,602) I,TYPAT(I),ABND(I),ABNR,IAT,N0A(IAT),NKA(IAT)
END IF
END IF
END DO
DO ID=1,ND
WMM(ID)=WMY(ID)*HMASS/YTOT(ID)
END DO
RETURN
566 WRITE(6,656)
STOP
c
600 FORMAT(1H0//' CHEMICAL ELEMENTS INCLUDED'/
* ' --------------------------'//
* ' NUMBER ELEMENT ABUNDANCE'/1H ,16X,
* 'A=N(ELEM)/N(H) A/A(SOLAR)'/)
601 FORMAT(1H ,I4,3X,A5,1P2E14.2)
602 FORMAT(1H ,I4,3X,A5,1P2E14.2,3X,
* 'EXPLICIT: IAT=',I3,' N0A=',I3,' NKA=',I3)
610 FORMAT(//' CHEMICAL ELEMENTS INCLUDED - CHANGED (unit 56)'
* /' --------------------------'//
* ' NUMBER ELEMENT ABUNDANCE'/1H ,16X,
* 'A=N(ELEM)/N(H) A/A(SOLAR)'/)
620 FORMAT(1H0//' CHEMICAL ELEMENTS INCLUDED - RENORMALIZATION'/
* ' --------------------------'//
* ' NUMBER ELEMENT ABUNDANCE'/1H ,16X,
* 'A=N(ELEM)/N(H) A/A(SOLAR)'/)
656 FORMAT(//' CHEMICAL COMPOSITION COULD NOT BE READ FROM ',
* 'UNIT 56'//' STOP.')
END
C
C
C ****************************************************************
C
C
SUBROUTINE INIMOD
C
C SET UP COMMON/RRRVAL/ - VALUES OF N(ION)/U(ION) FOR ALL THE ATOMS
C AND IONS CONSIDERED
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
COMMON/BLAPAR/RELOP,SPACE0,CUTOF0,TSTD,DSTD,ALAMC
COMMON/HPOPST/HPOP
C
c 1. "low-temperature" ionization fractions
c (using Hamburg partition functions)
c
DO 50 ID=1,ND
IF(IFMOL.EQ.0.OR.TEMP(ID).GE.TMOLIM) THEN
CALL STATE(ID,TEMP(ID),ELEC(ID),S1)
HPOP=DENS(ID)/WMM(ID)/YTOT(ID)
DO J=1,MION0
DO I=1,MATOM
RRR(ID,J,I)=RR(I,J)*HPOP
END DO
END DO
DO IAT=1,NATOM
ATTOT(IAT,ID)=HPOP*ABUND(IAT,ID)
END DO
ELSE
HPOP=ATTOT(1,ID)
END IF
IF(ID.NE.IDSTD) GO TO 50
TSTD=TEMP(ID)
VTS=VTURB(ID)
DSTD=SQRT(1.4E7*TSTD+VTS)
WRITE(6,601) ID,TEMP(ID),ELEC(ID),hpop
c DO I=1,MATOM
DO I=1,30
WRITE(6,602) TYPAT(I),(RRR(ID,J,I),J=1,MION0-1)
END DO
c WRITE(6,603)
c DO I=1,MATOM
c WRITE(6,602) TYPAT(I),(PFSTD(J,I),J=1,MION0-1)
c END DO
50 CONTINUE
c
c 2. "high-temperature" ionization fractions
c (using the Opacity Project ionization fractions)
c
if(teff.lt.0.) then
CALL FRAC1
ID=IDSTD
HPOP=DENS(ID)/WMM(ID)/YTOT(ID)
WRITE(6,604) ID,TEMP(ID),ELEC(ID)
DO 60 I=1,MATOM
WRITE(6,605) TYPAT(I),(RRR(ID,J,I)/hpop,J=1,MION)
ioniz(i)=i+1
60 continue
end if
C
601 FORMAT(/' N/U AT THE STANDARD DEPTH (ID =',I3,
* ' ; T,Ne = ',F8.1,1P2E12.3,' )'/
* ' --------------------------'//)
602 FORMAT(1H ,A4,1P8E9.2)
c 603 FORMAT(//' PARTITION FUNCTIONS AT THE STANDARD DEPTH'/
c * ' ------------------------------------------'//)
604 FORMAT(/' N/U AT THE STANDARD DEPTH - OP DATA',
* ' (ID =',I3,' ; T,Ne = ',F8.1,1PE12.3,' )'//)
605 FORMAT(1H ,A4,(1P8E9.2))
RETURN
END
C
C
C ********************************************************************
C
SUBROUTINE STATE(ID,TE,ANE,Q)
C
C modified LTE Saha equations - possibly using
C radiation temperatures after
C Schaerer and Schmutz AA 288, 321, 1994
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'WINCOM.FOR'
common/moltst/pfmol(600,mdepth),anmol(600,mdepth),
* pfato(100,mdepth),anato(100,mdepth),
* pfion(100,mdepth),anion(100,mdepth)
common/ioniz2/anion2(30,mdepth)
dimension FFI(MION0)
C
Q=0.
DO 50 I=1,NATOMS
IF(LGR(I)) GO TO 50
ION=IONIZ(I)
RQ=0.
RS=1.
T=TRAD(INPOT(I,1),ID)
if(t.le.0.) t=te
X=SQRT(T/ANE)
XMX=2.145E4*SQRT(X)
CALL PARTF(I,1,T,ANE,XMX,UM)
PFSTD(1,I)=UM
JMAX=1
DO J=2,ION
J1=J-1
T=TRAD(INPOT(I,J),ID)
if(t.le.0.) t=te
TLN=LOG(T)*1.5
TK=BOLK*T
THL=11605./T
X=SQRT(T/ANE)
XMX=2.145E4*SQRT(X)
DCH=EH/XMX/XMX/TK
DCHT=DCH*J1
FI=36.113+TLN-THL*ENEV(I,J1)+DCHT
X=J
XMAX=XMX*SQRT(X)
CALL PARTF(I,J,T,ANE,XMAX,U)
PFSTD(J,I)=U
FI=EXP(FI)*U/UM/ANE
FFI(J)=FI
IF(FFI(J).GT.1.) JMAX=J
UM=U
END DO
IF(JMAX.LT.ION) THEN
R=1.
RQ=JMAX-1
DO J=JMAX+1,ION
R=R*FFI(J)
RR(I,J)=R/PFSTD(J,I)
RS=RS+R
RQ=RQ+(J-1)*R
END DO
END IF
IF(JMAX.GT.1) THEN
R=1.
DO JJ=1,JMAX-1
J=JMAX-JJ
R=R/FFI(J+1)
RR(I,J)=R/PFSTD(J,I)
RS=RS+R
RQ=RQ+(J-1)*R
END DO
END IF
ABND(I)=ABNDD(I,ID)
RR(I,JMAX)=ABND(I)/RS
DO J=1,ION
IF(J.NE.JMAX) RR(I,J)=RR(I,J)*RR(I,JMAX)
if(rr(i,j).lt.1.e-35) rr(i,j)=0.
END DO
RR(I,JMAX)=RR(I,JMAX)/PFSTD(JMAX,I)
X=RQ/RS
c IF(LRM(I)) GO TO 50
if(i.gt.1) Q=X*ABND(I)+Q
anato(i,id)=rr(i,1)*pfstd(1,i)
pfato(i,id)=pfstd(1,i)
anion(i,id)=rr(i,2)*pfstd(2,i)
pfion(i,id)=pfstd(2,i)
50 CONTINUE
c
do i=2,30
anion2(i,id)=rr(i,3)*pfstd(3,i)
end do
c
do imol=1,500
anmol(imol,id)=0.
pfmol(imol,id)=0.
end do
c
RETURN
END
C
C ********************************************************************
C
SUBROUTINE TINT
C
C LOGARITHMIC INTERPOLATION COEFFICIENTS FOR INTERPOLATION OF
C TEMP(ID) TO THE VALUES 5000,10000,20000,40000
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
DIMENSION TT(4)
DATA TT /3.699, 4.000, 4.301, 4.602/
C
DO ID=1,ND
T=LOG10(TEMP(ID))
J=3
IF(T.GT.TT(3)) J=4
JT(ID)=J
X=(TT(J)-TT(J-1))*(TT(J)-TT(J-2))*(TT(J-1)-TT(J-2))
TI0(ID)=(T-TT(J-2))*(T-TT(J-1))*(TT(J-1)-TT(J-2))/X
TI1(ID)=(T-TT(J-2))*(TT(J)-T)*(TT(J)-TT(J-2))/X
TI2(ID)=(T-TT(J-1))*(T-TT(J))*(TT(J)-TT(J-1))/X
ENd dO
RETURN
END
C
C ********************************************************************
C
SUBROUTINE INIBL0
C
C AUXILIARY INITIALIZATION PROCEDURE
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'LINDAT.FOR'
INCLUDE 'SYNTHP.FOR'
INCLUDE 'WINCOM.FOR'
parameter (un=1.)
character*2 iu
character*6 ilab
DIMENSION CROSS(MCROSS,MFRQ),
* ABSO(MFREQ),EMIS(MFREQ),SCAT(MFREQ),
* ABSOC(MFREQC),EMISC(MFREQC),SCATC(MFREQC)
COMMON/LIMPAR/ALAM0,ALAM1,FRMIN,FRLAST,FRLI0,FRLIM
COMMON/BLAPAR/RELOP,SPACE0,CUTOF0,TSTD,DSTD,ALAMC
common/lasers/lasdel
common/linrej/ilne(mdepth),ilvi(mdepth)
common/velaux/velmax,iemoff,nltoff,itrad
common/alsave/ALAM0s,ALASTs,CUTOF0s,CUTOFSs,RELOPs,SPACEs
C
C --------------------------------------------------------------
C Parameters controlling an evaluation of the synthetic spectrum
C
C --------------------------------------------------------------
C
C ALAM0, ALAM1 - synthetic spectrum is evaluated between wavelengths
C ALAM0 (initial) and ALAM1 (final), given in Anstroms
C CUTOF0 - cutoff parameter for normal lines (given in Angstroms)
C ie the maximum distance from the line center, in
C which the opacity in the line is allowd to contribute
C to the total opacity (recommended 5 - 10)
C CUTOFS = SPACON
C SPACON - spacing of the continuum wavelength points
C (at the midpoint of teh total interval; actual spacing
C is equidistant in log(lambda)
C RELOP - the minimum value of the ratio (opacity in the line
C center)/(opacity in continuum), for which is the line
C taken into account (usually 1d-4 to 1d-3)
C SPACE - the maximum distance of two neighbouring frequency
C points for evaluating the spectrum; in Angstroms
C
C INLTE = 0 - pure LTE (no line in NLTE)
C ne.0 - NLTE option, ie one or more lines treated
C in the exact or approximate NLTE approach
C IFHE2 gt.0 - He II line opacity in the first four series
C (Lyman, Balmer, Paschen, Brackett)
C for lines with lambda < 3900 A
C is taken into account even if line list
C does not contain any He II lines (i.e.
C He II lines are treated as the hydrogen lines)
C
C IHYDPR = 0 - means that hydrogen lines Stark profiles
C are calculated by approximate formulae
C > 0 - hydrogen lines Stark profiles are calculated
C in detail, using the Schoening & Butler tables;
C (for 1-2 to 1-5; 2-3 to 2-10).
C the tables are stored in file FOR0xx.dat,
C where xx=IHYDPR;
C higher Balmer lines are calculated as before
C
C the meaning of other parameters is quite analogous, for the
C following lines
C
C IHE1PR - He I lines at 4471, 4026, 4387, and 4922 Angstroms
C (tables calculated by Barnard, Cooper, and Shamey)
C IHE2PR - for the He II lines calculated by Schoening and Butler,
C
if(ifeos.le.0) then
READ(55,*) IFREQ,INLTE,ICONTL,INLIST,IFHE2
IF(LTE) INLTE=0
READ(55,*) IHYDPR,IHE1PR,IHE2PR
READ(55,*) ALAM0,ALAST,CUTOF0,CUTOFS,RELOP,SPACE
end if
C
IF(IDSTD.EQ.0) THEN
ID1=5
NDSTEP=(ND-2*ID1)/2
IDSTD=2*ND/3
ELSE IF(IDSTD.LT.0) THEN
ID1=1
NDSTEP=-IDSTD
IDSTD=2*ND/3
END IF
if(imode.le.-3) ndstep=1
c
alam0s=alam0
alasts=alast
cutof0s=cutof0
cutofss=cutofs
relops=relop
spaces=space
C
C if ALAST.lt.0 - set up vacuum wavelengths everywhere
C
vaclim=2000.
if(alast.lt.0.) then
alast=abs(alast)
alasts=alast
vaclim=1.e18
end if
c
if(inlte.lt.10) then
lasdel=.true.
else if(inlte.le.20) then
inlte=inlte-10
lasdel=.false.
else if(inlte.le.30) then
inlte=inlte-20
ifreq=11
lasdel=.true.
else if(inlte.le.40) then
inlte=inlte-30
ifreq=11
lasdel=.false.
end if
C
ibin(0)=mod(inlist,10)
do ilist=1,mmlist
tmlim(ilist)=tmolim
ibin(ilist)=mod(inlist,10)
ivdwli(ilist)=0
iun=19+ilist
write(iu,622) iun
622 format(i2)
amlist(ilist)='fort.' // iu
end do
c
if(imode.ge.-3.and.imode.le.1) then
nmlist=0
numlis=0
read(55,*,err=5,end=5) nmlist,(iunitm(ilist),ilist=1,nmlist)
do ilist=1,nmlist
write(iu,622) iunitm(ilist)
amlist(ilist) ='fort.' // iu
end do
5 continue
c
ilist=0
amlist(0)='fort.19'
read(3,*,err=20,end=20) amlist(0),ibin(0)
c
ilist=0
10 continue
ilist=ilist+1
read(3,*,end=20) amlist(ilist),ibin(ilist),tmlim(ilist)
numlis=numlis+1
go to 10
20 continue
if(numlis.gt.0) nmlist=numlis
if(nmlist.gt.0.and.ifmol.eq.0) then
write(*,*) 'NEEDS TO SET IFMOL > 0 with NMLIST>0'
stop
end if
c
ilist=0
ilab='ATOMIC'
write(6,623) ilist,ilab,trim(amlist(ilist)),ibin(ilist)
ilab='MOLEC '
do ilist=1,nmlist
write(6,624) ilist,ilab,trim(amlist(ilist)),ibin(ilist),
* tmlim(ilist)
end do
623 format(/'************************'/
* ' LINE LISTS:'/
* /' ILIST',8x,'FILENAME IBIN TMLIM'/
* i4,2x,a6,2x,a,2x,i4,f11.1)
624 format( i4,2x,a6,2x,a,2x,i4,f11.1)
end if
c
C
c VTB - turbulent velocity (in km/s). In non-negative, this
C value overwrites the value given by the standard input
C
read(55,*,err=30,end=30) VTB
if(ifwin.le.0) then
if(vtb.ge.0.) then
WRITE(6,608) VTB
608 FORMAT(//' TURBULENT VELOCITY - CHANGED TO VTURB =',
* 1PE10.3,' KM/S'/' ------------------'/)
do id=1,nd
vturb(id)=vtb*vtb*1.e10
end do
end if
end if
C
TSTD=TEMP(IDSTD)
VTS=VTURB(IDSTD)
DSTD=SQRT(1.4E7*TSTD+VTS)
30 continue
C
C angle points (in case the specific intensities are evaluated
C
C NMU0 - number of angles:
C >0 - and if also ANG0>0, angles (mu's) equidistant
C between 1 and ANG0
C >0 - and if also ANG0<0, angles (mu's) equidistant
C between 0.7 and ANG0, and sinuses equidistatnt for
C others
C <0 - angles read in the next record
C ANG0 - minimum mu (see above)
C IFLUX - mode for evaluating angle-dependent intensities and
C the corresponding flux:
C =0 - no specifiec intensities are evaluated; only usual
C flux is stored (unit 7 and 17)
C =1 - specific intensities are evaluated;
C and stored on unit 18
C =2 - (interesting only for the case of macroscopic
C velocity field); specific intensities evaluated by
C a simple formal solution (RESOLV)
C
NMU0=1
ANG0=1.
ANGL(1)=1.
WANGL(1)=0.
IFLUX=0
velmax=3.e5
nltoff=0
iemoff=0
itrad=0
do id=1,nd
wdil(id)=un
end do
if(ifwin.le.0) then
READ(55,*,end=100,err=100) NMU0,ANG0,IFLUX
C
C determinantion of the angle points and weights
C
IF(NMU0.LT.0) THEN
NMU0=IABS(NMU0)
READ(55,*) (ANGL(IMU),IMU=1,NMU0)
DO IMU=2,NMU0-1
WANGL(IMU)=0.5*(ANGL(IMU-1)+ANGL(IMU+1))
END DO
WANGL(1)=0.5*(ANGL(1)-ANGL(2))
WANGL(NMU0)=0.5*(ANGL(NMU0-1)-ANGL(NMU0))
ELSE
IF(ANG0.GT.0.) THEN
IF(NMU0.GT.1) THEN
DMU=(1.-ANG0)/(NMU0-1)
DO IMU=1,NMU0
ANGL(IMU)=1.-(IMU-1)*DMU
WANGL(IMU)=DMU
END DO
WANGL(1)=0.5*DMU
WANGL(NMU0-1)=0.5*DMU
WANGL(NMU0)=2.*DMU
END IF
ELSE
ANGH=0.70710678
DMU=ANGH/(NMU0-1)
DO IMU=1,NMU0
ANGL(IMU)=(IMU-1)*DMU
ANGL(IMU)=SQRT(1.-ANGL(IMU)**2)
IF(IMU.GT.1.AND.IMU.LT.NMU0)
* WANGL(IMU)=0.5*(ANGL(IMU-1)+ANGL(IMU+1))
END DO
WANGL(1)=0.5*(ANGL(1)-ANGL(2))
WANGL(NMU0)=0.5*(ANGL(NMU0-1)-ANGL(NMU0))
IF(ANG0.LT.0.) DMU=(ANGH+ANG0)/(NMU0-1)
DO IMU=1,NMU0-2
ANGL(IMU+NMU0)=ANGH-IMU*DMU
WANGL(IMU+NMU0)=DMU
END DO
WANGL(NMU0)=WANGL(NMU0)+0.5*DMU
WANGL(2*NMU0-3)=0.5*DMU
WANGL(2*NMU0-2)=2.*DMU
NMU0=2*NMU0-2
END IF
END IF
IF(NMU0.LE.0) GO TO 100
WRITE(6,609) NMU0,(ANGL(I),I=1,NMU0)
609 FORMAT(//' SPECIFIC INTENSITIES COMPUTED FOR',I3,
* ' ANGLES mu=cos(theta) ='/
* ' ---------------------------------',
* '------------------------'//
* (10F7.2))
100 CONTINUE
else
itrad=1
read(55,*,end=110,err=110) velmax,ITRAD,nltoff,iemoff
110 write(6,602) velmax,itrad,nltoff,iemoff
if(velmax.lt.0.) then
velmax=3.e5
go to 120
end if
602 format(//' velmax (velocity for line rejection)',
* ' itrad,nltoff,iemoff',f10.1,2i3)
C
C Set up rays and weights
C
call velset
call radtem
CALL SETRAY
CALL WGTJH1
C
end if
C
120 CONTINUE
velmax=velmax*1.e5
do id=1,nd
ilvi(id)=0
ilne(id)=0
if(vel(id).gt.velmax.and.iemoff.eq.0) ilvi(id)=1
if(vel(id).gt.velmax.and.nltoff.gt.0.and.iemoff.gt.0)
* ilne(id)=1
end do
C
IF(IMODE.EQ.-1) THEN
INLTE=0
CUTOF0=0.
END IF
C
C continuum frequencies
C
if(ifwin.le.0) then
alam0=alam0s
if(alam0s.eq.0.) alam0=5.e7/temp(1)/10.
if(alam0s.lt.0.) alam0=-5.e7/temp(1)/alam0s
alast=alasts
if(alasts.eq.0.) alast=5.e7/temp(1)*20.
if(alasts.lt.0.) alast=-5.e7/temp(1)*alasts
c if(alast.gt.1.e5) alast=1.e5
ALAMC=(ALAM0+ALAST)*0.5
if(space.eq.0.) space=4.3e-8*sqrt(temp(idstd))*alamc
if(space.lt.0.) space=-5.72e-8*sqrt(temp(idstd))*alamc*space
SPACF=2.997925E18/ALAMC/ALAMC*SPACE
WRITE(6,601) ALAM0,ALAST,CUTOF0,RELOP,SPACF,SPACE
CUTOF0=0.1*CUTOF0
SPACE0=SPACE*0.1
ALAM0=1.D-1*ALAM0
ALAST=1.D-1*ALAST
ALAMC=ALAMC*0.1
ALST00=ALAST
FRLAST=2.997925D17/ALAST
NFREQ=2
FREQ(1)=2.997925D17/ALAM0
FREQ(2)=FRLAST
C
else
C
spacon=cutofs
IF(SPACON.EQ.0) SPACON=3.
XFR=(ALAST-ALAM0)/SPACON
NFREQC=int(XFR)+1
NFREQC=MIN(NFREQC,MFREQC)
NFREQC=MAX(NFREQC,2)
DLAMLO=LOG10(ALAST/ALAM0)/(NFREQC-1)
AL0L=LOG10(ALAM0)
alambe=alam0
DO IJ=1,NFREQC
AL=AL0L+(IJ-1)*DLAMLO
ALAM=EXP(2.3025851*AL)
WLAMC(IJ)=ALAM
FREQC(IJ)=2.997925E18/ALAM
END DO
ALAMC=(ALAM0+ALAST)*0.5
SPACF=2.997925E18/ALAMC/ALAMC*SPACE
WRITE(6,601) ALAM0,ALAST,CUTOF0,RELOP,SPACF,SPACE
CUTOF0=0.1*CUTOF0
SPACE0=SPACE*0.1
ALAM0=1.D-1*ALAM0
ALAST=1.D-1*ALAST
ALAMC=ALAMC*0.1
ALST00=ALAST
FRLAST=2.997925D17/ALAST
NFREQ=2
FREQ(1)=2.997925D17/ALAM0
FREQ(2)=FRLAST
c
end if
c
CALL SIGAVS
IF(IHYDPR.NE.0) THEN
CALL HYDINI
CALL XENINI
END IF
IF(IHE1PR.GT.0) CALL HE1INI
IF(IHE2PR.GT.0) CALL HE2INI
C
C auxiliary quantities for dissolved fractions
C
DO ID=1,ND
CALL DWNFR0(ID)
CALL WNSTOR(ID)
END DO
C
c pretabulate expansion coefficients for the Voigt function
c
CALL PRETAB
c
c calculate the characteristic standard opacity
c
IF(IMODE.LE.2) THEN
if(ifwin.le.0.and.ndstep.eq.0) then
c
c old procedure
c
CALL CROSET(CROSS)
DO ID=1,ND
CALL OPAC(ID,CROSS,ABSO,EMIS,SCAT)
ABSTD(ID)=MIN(ABSO(1),ABSO(2))
END DO
else
c
c new procedure
c
if(ifwin.le.0) then
nfreqc=ifix(real(cutofs,4))
if(nfreqc.eq.0) nfreqc=mfreq
all0=log(alam0)
all1=log(alast)
dlc=(all1-all0)/(nfreqc-1)
do ijc=1,nfreqc
wlamc(ijc)=exp(all0+(ijc-1)*dlc)
freqc(ijc)=2.997925e17/wlamc(ijc)
end do
CALL CROSEW(CROSS)
do id=1,nd
CALL OPACON(ID,CROSS,ABSOC,EMISC,SCATC)
do ijc=1,nfreqc
abstdw(ijc,id)=absoc(ijc)
end do
end do
c write(*,*) 'abstdw(1,ij)',(abstdw(ij,1),ij=1,nfreqc)
c write(*,*) 'abstdw(50,ij)',(abstdw(ij,50),ij=1,nfreqc)
c
else
CALL CROSEW(CROSS)
DO ID=1,ND
CALL OPACW(ID,CROSS,ABSO,EMIS,ABSOC,EMISC,SCATC,0)
DO IJ=1,NFREQC
ABSTDW(IJ,ID)=ABSOC(IJ)/DENSCON(ID)
END DO
END DO
end if
end if
END IF
C
601 FORMAT(//'----------------------------------------------'/
* ' BASIC INPUT PARAMETERS FOR SYNTHETIC SPECTRA'/
* ' ---------------------------------------------'/
* ' INITIAL LAMBDA',28X,1H=,F10.3,' ANGSTROMS'/
* ' FINAL LAMBDA',28X,1H=,F10.3,' ANGSTROMS'/
* ' CUTOFF PARAMETER',26X,1H=,F10.3,' ANGSTROMS'/
* ' MINIMUM VALUE OF (LINE OPAC.)/(CONT.OPAC) =',1PE10.1/
* ' MAXIMUM FREQUENCY SPACING',17X,1H=,1PE10.3,' I.E.',
* 0PF6.3,' ANGSTROMS'/
* ' ---------------------------------------------'/)
c
write(6,612) idstd,ndstep
612 format(/'IDSTD, NDSTEP = ',2i5/)
RETURN
END
C
C ***********************************************************************
C
SUBROUTINE INIBL1(IGRD)
C =======================
C
C AUXILIARY INITIALIZATION PROCEDURE
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'LINDAT.FOR'
INCLUDE 'SYNTHP.FOR'
INCLUDE 'WINCOM.FOR'
COMMON/LIMPAR/ALAM0,ALAM1,FRMIN,FRLAST,FRLI0,FRLIM
COMMON/BLAPAR/RELOP,SPACE0,CUTOF0,TSTD,DSTD,ALAMC
common/alsave/ALAM0s,ALASTs,CUTOF0s,CUTOFSs,RELOPs,SPACEs
common/plaopa/plalin,plcint,chcint
common/conabs/absoc(mfreqc),emisc(mfreqc),scatc(mfreqc),
* plac(mfreqc)
parameter (un=1.,bnc=1.4743e-2,hkc=4.79928e4,
* clc=2.997925e17)
DIMENSION CROSS(MCROSS,MFRQ),
* ABSO(MFREQ),EMIS(MFREQ),SCAT(MFREQ)
C
C auxiliary quantities for dissolved fractions
C
DO ID=1,ND
CALL DWNFR0(ID)
CALL WNSTOR(ID)
anh2(id)=0.
anhm(id)=0.
anch(id)=0.
anoh(id)=0.
END DO
CALL TINT
c
c reset wavelengths in case of opacity grid calculations
c
if(igrd.ge.0) then
alam0=alam0s
if(alam0s.eq.0.) alam0=5.e7/temp(1)/10.
if(alam0s.lt.0.) alam0=-5.e7/temp(1)/alam0s
alast=alasts
if(alasts.eq.0.) alast=5.e7/temp(1)*20.
if(alasts.lt.0.) alast=-5.e7/temp(1)*alasts
c if(alast.gt.1.e5) alast=1.e5
cutof0=cutof0s
cutofs=cutofss
relop=relops
if(relops.eq.0) then
relop=1.e-15
if(temp(1).lt.2.e6) relop=1.e-6
if(temp(1).lt.1.e6) relop=1.e-5
if(temp(1).lt.1.e5) relop=1.e-4
end if
space=spaces
ALAMC=(ALAM0+ALAST)*0.5
if(space.eq.0.) space=4.3e-8*sqrt(temp(idstd))*alamc
if(space.lt.0.) space=-5.72e-8*sqrt(temp(idstd))*alamc*space
SPACF=2.997925E18/ALAMC/ALAMC*SPACE
CUTOF0=0.1*CUTOF0
SPACE0=SPACE*0.1
ALAM0=1.D-1*ALAM0
ALAST=1.D-1*ALAST
ALAMC=ALAMC*0.1
ALST00=ALAST
FRLAST=CLC/ALAST
c
nfreqc=ifix(real(cutofs,4))
if(nfreqc.eq.0) nfreqc=mfreq
all0=log(alam0)
all1=log(alast)
dlc=(all1-all0)/(nfreqc-1)
xcc0=hkc/temp(1)
do ijc=1,nfreqc
wlamc(ijc)=exp(all0+(ijc-1)*dlc)
freqc(ijc)=clc/wlamc(ijc)
c frc=freqc(ijc)*1.e-15
c plac(ijc)=bnc*frc**3/(exp(xcc0*frc)-un)
end do
id=1
CALL CROSEW(CROSS)
CALL OPACON(ID,CROSS,ABSOC,EMISC,SCATC)
wc0=(freqc(1)-freqc(2))*0.5
wc1=(freqc(nfreqc-1)-freqc(nfreqc))*0.5
do ijc=2,nfreqc-1
absoc(ijc)=min(absoc(ijc),1.e30)
write(26,642) wlamc(ijc)*10.,log(absoc(ijc)/dens(1))
end do
642 format(f11.3,1p5e13.5)
c
do ijc=1,nfreqc
abstdw(ijc,id)=absoc(ijc)
end do
c
end if
c
c calculate the characteristic standard opacity
c
IF(IMODE.LE.2.and.imode.ge.-2) THEN
if(ifwin.le.0) then
CALL CROSET(CROSS)
DO ID=1,ND
CALL OPAC(ID,CROSS,ABSO,EMIS,SCAT)
ABSTD(ID)=MIN(ABSO(1)+SCAT(1),ABSO(2)+SCAT(2))
END DO
else
CALL CROSEW(CROSS)
DO ID=1,ND
CALL OPACW(ID,CROSS,ABSO,EMIS,ABSOC,EMISC,SCATC,0)
DO IJ=1,NFREQC
denscon(id)=1.
ABSTDW(IJ,ID)=ABSOC(IJ)/DENSCON(ID)
END DO
END DO
end if
END IF
C
RETURN
END
C
C ***********************************************************************
C
SUBROUTINE RESOLV
C
C driver for evaluating opacities and emissivities which then
C enter the solution of the radiative transfer equation
C (RTE or RTEDFE)
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'LINDAT.FOR'
INCLUDE 'SYNTHP.FOR'
DIMENSION CROSS(MCROSS,MFRQ),
* ABSO(MFREQ),EMIS(MFREQ),SCAT(MFREQ)
COMMON/RTEOPA/CH(MFREQ,MDEPTH),ET(MFREQ,MDEPTH),
* SC(MFREQ,MDEPTH)
COMMON/HPOPST/HPOP
C
IHYL=-1
c
c if(imode.le.-3) call abnchn(1)
C
C set up the partial line list for the current interval
C
CALL INISET
if(ifmol.gt.0) then
do ilist=1,nmlist
call molset(ilist)
end do
end if
C
C select possible hydrogen lines that may contribute to the opacity
C
IF(IMODE.NE.-1) CALL HYLSET
C
C select possible He II lines that may contribute to the opacity
C
IF(IMODE.NE.-1) CALL HE2SET
C
C output of information about selected lines
C
CALL INIBLA
if(ifmol.gt.0) call iniblm
C
C photoinization cross-sections
C
CALL CROSET(CROSS)
C
C monochromatic opacity and emissivity including all contributing
C lines and continua
C
IF(IMODE.GE.-1) THEN
DO ID=1,ND
CALL OPAC(ID,CROSS,ABSO,EMIS,SCAT)
ABSTD(ID)=0.5*(ABSO(1)+ABSO(2))
DO IJ=1,NFREQ
CH(IJ,ID)=ABSO(IJ)
ET(IJ,ID)=EMIS(IJ)
SC(IJ,ID)=SCAT(IJ)
END DO
if(imode0.eq.-4) call ougrid(abso)
END DO
C
C output of information about selected hydrogen lines
C
CALL INIBLH
C
C the iron curtain or opacity table option - output of monochromatic opacities
C
ELSE IF(IMODE.EQ.-2) THEN
ID=1
write(27,626) temp(id),dens(id),elec(id)
CALL OPAC(ID,CROSS,ABSO,EMIS,SCAT)
DO IJ=3,NFREQ-1
ABSO(IJ)=(ABSO(IJ)+SCAT(IJ))/HPOP
WRITE(27,627) WLAM(IJ),ABSO(IJ),scat(ij)
END DO
else
id=1
call opac(id,cross,abso,emis,scat)
ch(1,id)=abso(1)
ch(2,id)=abso(2)
call ougrid(abso)
END IF
626 format(1p3e15.4)
627 format(f15.3,1p2e15.5)
RETURN
END
C
C *******************************************************************
C
SUBROUTINE RTE
C
C solution of the radiative transfer equation by Feautrier method
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
INCLUDE 'LINDAT.FOR'
DIMENSION D(3,3,MDEPTH),ANU(3,MDEPTH),AANU(MDEPTH),DDD(MDEPTH),
* AA(3,3),BB(3,3),CC(3,3),VL(3),AMU(3),WTMU(3),
* DT(MDEPTH),TAU(MDEPTH),
* RDD(MDEPTH),FKK(MDEPTH),ST0(MDEPTH),SS0(MDEPTH),
* RINT(MDEPTH,MMU)
CHARACTER*4 TYPION(9)
COMMON/RTEOPA/CH(MFREQ,MDEPTH),ET(MFREQ,MDEPTH),
* SC(MFREQ,MDEPTH)
COMMON/EMFLUX/FLUX(MFREQ),FLUXC(MFREQC)
COMMON/BLAPAR/RELOP,SPACE0,CUTOF0,TSTD,DSTD,ALAMC
COMMON/CTRFUN/CINT1(MDEPTH),CINT2(MDEPTH),
* CTRI(MDEPTH),CTRR(MDEPTH),XKAR(MDEPTH),
* ABXLI(MFREQ),EMXLI(MFREQ),IJCTR(MFREQ)
COMMON/REFDEP/IREFD(MFREQ)
COMMON/CENTRL/ZND,IFZ0
PARAMETER (UN=1.D0, HALF=0.5D0)
PARAMETER (THIRD=UN/3., QUART=UN/4., SIXTH=UN/6.D0)
PARAMETER (TAUREF = 0.6666666666667)
DATA AMU/.887298334620742D0,.5D0,.112701665379258D0/,
1 WTMU/.277777777777778D0,.444444444444444D0,.277777777777778D0
1 /
DATA TYPION /' I ',' II ',' III',' IV ',' V ',
* ' VI ',' VII','VIII',' IX '/
C
NMU=3
ND1=ND-1
C
C Overall loop over frequencies
C
DO IJ=1,NFREQ
TAUMIN=CH(IJ,1)/DENS(1)*DM(1)*HALF
TAU(1)=TAUMIN
IREF=1
DO I=1,ND1
DT(I)=(DM(I+1)-DM(I))*(CH(IJ,I+1)/DENS(I+1)+CH(IJ,I)/DENS(I))*
* HALF
ST0(I)=ET(IJ,I)/CH(IJ,I)
SS0(I)=-SC(IJ,I)/CH(IJ,I)
TAU(I+1)=TAU(I)+DT(I)
IF(TAU(I).LE.TAUREF.AND.TAU(I+1).GT.TAUREF) IREF=I
END DO
IREFD(IJ)=IREF
ST0(ND)=ET(IJ,ND)/CH(IJ,ND)
SS0(ND)=-SC(IJ,ND)/CH(IJ,ND)
FR=FREQ(IJ)
BNU=BN*(FR*1.E-15)**3
PLAND=BNU/(EXP(HK*FR/TEMP(ND ))-UN)
DPLAN=BNU/(EXP(HK*FR/TEMP(ND-1))-UN)
DPLAN=(PLAND-DPLAN)/DT(ND1)
C
C +++++++++++++++++++++++++++++++++++++++++
C FIRST PART - VARIABLE EDDINGTON FACTORS
C +++++++++++++++++++++++++++++++++++++++++
C
ALB1=0.
DO I=1,NMU
C
C ************************
C UPPER BOUNDARY CONDITION
C ************************
C
ID=1
DTP1=DT(1)
Q0=0.
P0=0.
C
C allowance for non-zero optical depth at the first depth point
C
TAMM=TAUMIN/AMU(I)
IF(TAMM.GT.0.01) THEN
P0=UN-EXP(-TAMM)
ELSE
P0=TAMM*(UN-HALF*TAMM*(UN-TAMM*THIRD*(UN-QUART*TAMM)))
END IF
EX=UN-P0
Q0=Q0+P0*AMU(I)*WTMU(I)
C
DIV=DTP1/AMU(I)*THIRD
VL(I)=DIV*(ST0(ID)+HALF*ST0(ID+1))+ST0(ID)*P0
DO J=1,NMU
BB(I,J)=SS0(ID)*WTMU(J)*(DIV+P0)-ALB1*WTMU(J)
CC(I,J)=-HALF*DIV*SS0(ID+1)*WTMU(J)
END DO
BB(I,I)=BB(I,I)+AMU(I)/DTP1+UN+DIV
CC(I,I)=CC(I,I)+AMU(I)/DTP1-HALF*DIV
ANU(I,ID)=0.
END DO
C
C Matrix inversion: instead of calling MATINV, a very fast inlined
C routine MINV3 for a specific 3 x 3 matrix inversion
C
C CALL MATINV(BB,NMU,3)
C
C ******************************
BB(2,1)=BB(2,1)/BB(1,1)
BB(2,2)=BB(2,2)-BB(2,1)*BB(1,2)
BB(2,3)=BB(2,3)-BB(2,1)*BB(1,3)
BB(3,1)=BB(3,1)/BB(1,1)
BB(3,2)=(BB(3,2)-BB(3,1)*BB(1,2))/BB(2,2)
BB(3,3)=BB(3,3)-BB(3,1)*BB(1,3)-BB(3,2)*BB(2,3)
C
BB(3,2)=-BB(3,2)
BB(3,1)=-BB(3,1)-BB(3,2)*BB(2,1)
BB(2,1)=-BB(2,1)
C
BB(3,3)=UN/BB(3,3)
BB(2,3)=-BB(2,3)*BB(3,3)/BB(2,2)
BB(2,2)=UN/BB(2,2)
BB(1,3)=-(BB(1,2)*BB(2,3)+BB(1,3)*BB(3,3))/BB(1,1)
BB(1,2)=-BB(1,2)*BB(2,2)/BB(1,1)
BB(1,1)=UN/BB(1,1)
C
BB(1,1)=BB(1,1)+BB(1,2)*BB(2,1)+BB(1,3)*BB(3,1)
BB(1,2)=BB(1,2)+BB(1,3)*BB(3,2)
BB(2,1)=BB(2,2)*BB(2,1)+BB(2,3)*BB(3,1)
BB(2,2)=BB(2,2)+BB(2,3)*BB(3,2)
BB(3,1)=BB(3,3)*BB(3,1)
BB(3,2)=BB(3,3)*BB(3,2)
C ******************************
C
DO I=1,NMU
DO J=1,NMU
S=0.
DO K=1,NMU
S=S+BB(I,K)*CC(K,J)
END DO
D(I,J,ID)=S
ANU(I,1)=ANU(I,1)+BB(I,J)*VL(J)
END DO
END DO
C
C *******************
C NORMAL DEPTH POINTS
C *******************
C
DO ID=2,ND1
DTM1=DTP1
DTP1=DT(ID)
DT0=HALF*(DTM1+DTP1)
AL=UN/DTM1/DT0
GA=UN/DTP1/DT0
BE=AL+GA
A=(UN-HALF*AL*DTP1*DTP1)*SIXTH
C=(UN-HALF*GA*DTM1*DTM1)*SIXTH
B=UN-A-C
VL0=A*ST0(ID-1)+B*ST0(ID)+C*ST0(ID+1)
DO I=1,NMU
DO J=1,NMU
AA(I,J)=-A*SS0(ID-1)*WTMU(J)
CC(I,J)=-C*SS0(ID+1)*WTMU(J)
BB(I,J)=B*SS0(ID)*WTMU(J)
END DO
END DO
DO I=1,NMU
DIV=AMU(I)**2
VL(I)=VL0
AA(I,I)=AA(I,I)+DIV*AL-A
CC(I,I)=CC(I,I)+DIV*GA-C
BB(I,I)=BB(I,I)+DIV*BE+B
END DO
DO I=1,NMU
S1=0.
DO J=1,NMU
S=0.
S1=S1+AA(I,J)*ANU(J,ID-1)
DO K=1,NMU
S=S+AA(I,K)*D(K,J,ID-1)
END DO
BB(I,J)=BB(I,J)-S
END DO
VL(I)=VL(I)+S1
END DO
C
C Matrix inversion: instead of calling MATINV, a very fast inlined
C routine MINV3 for a specific 3 x 3 matrix inversion
C
C CALL MATINV(BB,NMU,3)
C
C ******************************
BB(2,1)=BB(2,1)/BB(1,1)
BB(2,2)=BB(2,2)-BB(2,1)*BB(1,2)
BB(2,3)=BB(2,3)-BB(2,1)*BB(1,3)
BB(3,1)=BB(3,1)/BB(1,1)
BB(3,2)=(BB(3,2)-BB(3,1)*BB(1,2))/BB(2,2)
BB(3,3)=BB(3,3)-BB(3,1)*BB(1,3)-BB(3,2)*BB(2,3)
C
BB(3,2)=-BB(3,2)
BB(3,1)=-BB(3,1)-BB(3,2)*BB(2,1)
BB(2,1)=-BB(2,1)
C
BB(3,3)=UN/BB(3,3)
BB(2,3)=-BB(2,3)*BB(3,3)/BB(2,2)
BB(2,2)=UN/BB(2,2)
BB(1,3)=-(BB(1,2)*BB(2,3)+BB(1,3)*BB(3,3))/BB(1,1)
BB(1,2)=-BB(1,2)*BB(2,2)/BB(1,1)
BB(1,1)=UN/BB(1,1)
C
BB(1,1)=BB(1,1)+BB(1,2)*BB(2,1)+BB(1,3)*BB(3,1)
BB(1,2)=BB(1,2)+BB(1,3)*BB(3,2)
BB(2,1)=BB(2,2)*BB(2,1)+BB(2,3)*BB(3,1)
BB(2,2)=BB(2,2)+BB(2,3)*BB(3,2)
BB(3,1)=BB(3,3)*BB(3,1)
BB(3,2)=BB(3,3)*BB(3,2)
C ******************************
C
DO I=1,NMU
ANU(I,ID)=0.
DO J=1,NMU
S=0.
DO K=1,NMU
S=S+BB(I,K)*CC(K,J)
END DO
D(I,J,ID)=S
ANU(I,ID)=ANU(I,ID)+BB(I,J)*VL(J)
END DO
END DO
END DO
C
C ************
C LOWER BOUNDARY CONDITION
C ************
C
ID=ND
C
C First option:
C b.c. is different from stellar atmospheres; expresses symmetry
C at the central plane I(taumax,-mu,nu)=I(taumax,+mu,nu)
C
IF(IFZ0.EQ.0) THEN
B=DTP1*HALF
A=0.
DO I=1,NMU
BI=B/AMU(I)
AI=A/AMU(I)
VL(I)=ST0(ID)*BI+ST0(ID-1)*AI
DO J=1,NMU
AA(I,J)=-AI*SS0(ID-1)*WTMU(J)
BB(I,J)=BI*SS0(ID)*WTMU(J)
END DO
AA(I,I)=AA(I,I)+AMU(I)/DTP1-AI
BB(I,I)=BB(I,I)+AMU(I)/DTP1+BI
END DO
DO I=1,NMU
S1=0.
DO J=1,NMU
S=0.
S1=S1+AA(I,J)*ANU(J,ID-1)
DO K=1,NMU
S=S+AA(I,K)*D(K,J,ID-1)
END DO
BB(I,J)=BB(I,J)-S
END DO
VL(I)=VL(I)+S1
END DO
C
C Second option:
C b.c. is the same as in stellar atmospheres - the last depth point
C is not at the central plane
C
ELSE
DO I=1,NMU
AA(I,I)=AMU(I)/DTP1
VL(I)=PLAND+AMU(I)*DPLAN+AA(I,I)*ANU(I,ID-1)
DO J=1,NMU
BB(I,J)=-AA(I,I)*D(I,J,ID-1)
END DO
BB(I,I)=BB(I,I)+AA(I,I)+UN
END DO
END IF
C
C Matrix inversion: instead of calling MATINV, a very fast inlined
C routine MINV3 for a specific 3 x 3 matrix inversion
C
C CALL MATINV(BB,NMU,3)
C
C ******************************
BB(2,1)=BB(2,1)/BB(1,1)
BB(2,2)=BB(2,2)-BB(2,1)*BB(1,2)
BB(2,3)=BB(2,3)-BB(2,1)*BB(1,3)
BB(3,1)=BB(3,1)/BB(1,1)
BB(3,2)=(BB(3,2)-BB(3,1)*BB(1,2))/BB(2,2)
BB(3,3)=BB(3,3)-BB(3,1)*BB(1,3)-BB(3,2)*BB(2,3)
C
BB(3,2)=-BB(3,2)
BB(3,1)=-BB(3,1)-BB(3,2)*BB(2,1)
BB(2,1)=-BB(2,1)
C
BB(3,3)=UN/BB(3,3)
BB(2,3)=-BB(2,3)*BB(3,3)/BB(2,2)
BB(2,2)=UN/BB(2,2)
BB(1,3)=-(BB(1,2)*BB(2,3)+BB(1,3)*BB(3,3))/BB(1,1)
BB(1,2)=-BB(1,2)*BB(2,2)/BB(1,1)
BB(1,1)=UN/BB(1,1)
C
BB(1,1)=BB(1,1)+BB(1,2)*BB(2,1)+BB(1,3)*BB(3,1)
BB(1,2)=BB(1,2)+BB(1,3)*BB(3,2)
BB(2,1)=BB(2,2)*BB(2,1)+BB(2,3)*BB(3,1)
BB(2,2)=BB(2,2)+BB(2,3)*BB(3,2)
BB(3,1)=BB(3,3)*BB(3,1)
BB(3,2)=BB(3,3)*BB(3,2)
C ******************************
C
DO I=1,NMU
ANU(I,ID)=0.
DO J=1,NMU
D(I,J,ID)=0.
ANU(I,ID)=ANU(I,ID)+BB(I,J)*VL(J)
END DO
END DO
C
C ************
C BACKSOLUTION
C ************
C
ID=ND
FKK(ND)=THIRD
AJ=0.
AK=0.
DO I=1,NMU
RMU=WTMU(I)*ANU(I,ID)
AJ=AJ+RMU
AK=AK+RMU*AMU(I)*AMU(I)
END DO
RDD(ID)=AJ
FKK(ND)=AK/AJ
DO ID=ND-1,1,-1
DO I=1,NMU
DO J=1,NMU
ANU(I,ID)=ANU(I,ID)+D(I,J,ID)*ANU(J,ID+1)
END DO
END DO
AJ=0.
AK=0.
DO I=1,NMU
DIV=WTMU(I)*ANU(I,ID)
AJ=AJ+DIV
AK=AK+DIV*AMU(I)**2
END DO
FKK(ID)=AK/AJ
END DO
C
C surface Eddington actor
C
AH=0.
DO I=1,NMU
AH=AH+WTMU(I)*AMU(I)*ANU(I,1)
END DO
FH=AH/AJ-HALF*ALB1
C
c FKK(ND)=THIRD
C
C
C +++++++++++++++++++++++++++++++++++++++++
C SECOND PART - DETERMINATION OF THE MEAN INTENSITIES
C RECALCULATION OF THE TRANSFER EQUATION WITH GIVEN EDDINGTON FACTORS
C +++++++++++++++++++++++++++++++++++++++++
C
DTP1=DT(1)
DIV=DTP1*THIRD
BBB=FKK(1)/DTP1+FH+DIV+SS0(1)*(DIV+Q0)
CCC=FKK(2)/DTP1-HALF*DIV*(UN+SS0(2))
VLL=DIV*(ST0(1)+HALF*ST0(2))+ST0(1)*Q0
AANU(1)=VLL/BBB
DDD(1)=CCC/BBB
DO ID=2,ND1
DTM1=DTP1
DTP1=DT(ID)
DT0=HALF*(DTP1+DTM1)
AL=UN/DTM1/DT0
GA=UN/DTP1/DT0
A=(UN-HALF*DTP1*DTP1*AL)*SIXTH
C=(UN-HALF*DTM1*DTM1*GA)*SIXTH
AAA=AL*FKK(ID-1)-A*(UN+SS0(ID-1))
CCC=GA*FKK(ID+1)-C*(UN+SS0(ID+1))
BBB=(AL+GA)*FKK(ID)+(UN-A-C)*(UN+SS0(ID))
VLL=A*ST0(ID-1)+C*ST0(ID+1)+(UN-A-C)*ST0(ID)
BBB=BBB-AAA*DDD(ID-1)
DDD(ID)=CCC/BBB
AANU(ID)=(VLL+AAA*AANU(ID-1))/BBB
END DO
C
C Lower boundary condition
C 1.option - different from stellar atmospheres
C
IF(IFZ0.EQ.0) THEN
B=DTP1*HALF
BBB=FKK(ND)/DTP1+B*(UN+SS0(ND))
AAA=FKK(ND-1)/DTP1
VLL=B*ST0(ND)
ELSE
C
C Lower boundary condition
C 2.option - stellar atmospheric
C
BBB=FKK(ND)/DTP1+HALF
AAA=FKK(ND1)/DTP1
VLL=HALF*PLAND+DPLAN*THIRD
END IF
BBB=BBB-AAA*DDD(ND1)
RDD(ND)=(VLL+AAA*AANU(ND1))/BBB
DO IID=1,ND1
ID=ND-IID
RDD(ID)=AANU(ID)+DDD(ID)*RDD(ID+1)
END DO
FLUX(IJ)=FH*RDD(1)
C
C if needed (if iprin.ge.3), output of interesting physical
C quantities at the monochromatic optical depth tau(nu)=2/3
C
IF(IPRIN.ge.3) THEN
T0=LOG(TAU(IREF+1)/TAU(IREF))
X0=LOG(TAU(IREF+1)/TAUREF)/T0
X1=LOG(TAUREF/TAU(IREF))/T0
DMREF=EXP(LOG(DM(IREF))*X0+LOG(DM(IREF+1))*X1)
TREF=EXP(LOG(TEMP(IREF))*X0+LOG(TEMP(IREF+1))*X1)
STREF=EXP(LOG(ST0(IREF))*X0+LOG(ST0(IREF+1))*X1)
SCREF=EXP(LOG(-SS0(IREF))*X0+LOG(-SS0(IREF+1))*X1)
SSREF=EXP(LOG(-SS0(IREF)*RDD(IREF))*X0+
* LOG(-SS0(IREF+1)*RDD(IREF+1))*X1)
SREF=STREF+SSREF
ALM=2.997925E18/FREQ(IJ)
WRITE(96,636) IJ,ALM,IREF,DMREF,TREF,SCREF,STREF,SSREF,SREF
636 FORMAT(1H ,I3,F10.3,I4,1PE10.3,0PF10.1,1X,1P3E10.3,E11.3)
END IF
C
C THIRD PART - DETERMINATION OF THE SPECIFIC INTENSITIES
C RECALCULATION OF THE TRANSFER EQUATION WITH GIVEN SOURCE FUNCTION
C
if(iflux.eq.0) return
DO IMU=1,NMU0
ANX=ANGL(IMU)
DTP1=DT(1)
DIV=DTP1*THIRD/ANX
C
TAMM=TAUMIN/ANX
IF(TAMM.LT.0.01) THEN
P0=TAMM*(UN-HALF*TAMM*(UN-TAMM*THIRD*(UN-QUART*TAMM)))
ELSE
P0=UN-EXP(-TAMM)
END IF
C
BBB=ANX/DTP1+UN+DIV
CCC=ANX/DTP1-HALF*DIV
VLL=(DIV+P0)*(ST0(1)-SS0(1)*RDD(1))
* +HALF*DIV*(ST0(2)-SS0(2)*RDD(2))
AANU(1)=VLL/BBB
DDD(1)=CCC/BBB
DIV=ANX*ANX
DO ID=2,ND1
DTM1=DT(ID-1)
DTP1=DT(ID)
DT0=HALF*(DTP1+DTM1)
AL=UN/DTM1/DT0
GA=UN/DTP1/DT0
A=(UN-HALF*DTP1*DTP1*AL)*SIXTH
C=(UN-HALF*DTM1*DTM1*GA)*SIXTH
AAA=DIV*AL-A
CCC=DIV*GA-C
BBB=DIV*(AL+GA)+UN-A-C
VLL=A*(ST0(ID-1)-SS0(ID-1)*RDD(ID-1))+
* C*(ST0(ID+1)-SS0(ID+1)*RDD(ID+1))+
* (UN-A-C)*(ST0(ID)-SS0(ID)*RDD(ID))
BBB=BBB-AAA*DDD(ID-1)
DDD(ID)=CCC/BBB
AANU(ID)=(VLL+AAA*AANU(ID-1))/BBB
END DO
C
C Lower boundary condition
C 1.option - different from stellar atmospheres
C
IF(IFZ0.EQ.0) THEN
B=DTP1*HALF/ANX
BBB=ANX/DTP1+B*(UN+SS0(ND))
AAA=ANX/DTP1
VLL=B*ST0(ND)
ELSE
C
C Lower boundary condition
C 2.option - stellar atmospheric
C
AAA=ANX/DTP1
BBB=AAA+UN
VLL=PLAND+ANX*DPLAN
END IF
C
RINT(ND,IMU)=(VLL+AAA*AANU(ND1))/(BBB-AAA*DDD(ND1))
DO IID=1,ND1
ID=ND-IID
RINT(ID,IMU)=AANU(ID)+DDD(ID)*RINT(ID+1,IMU)
END DO
END DO
c
FLX=0.
DO IMU=1,NMU0
RINT(1,IMU)=RINT(1,IMU)/HALF
FLX=FLX+ANGL(IMU)*WANGL(IMU)*RINT(1,IMU)
END DO
FLX=FLX*HALF
c FLUX(IJ)=FLX
C
C output of emergent specific intensities to Unit 10
C and 18 (continuum)
C
IF(IJ.GT.2) THEN
WRITE(10,641) WLAM(IJ),FLX,(RINT(1,IMU),IMU=1,NMU0)
ELSE
WRITE(18,641) WLAM(IJ),FLX,(RINT(1,IMU),IMU=1,NMU0)
END IF
c
if(iprin.eq.4) then
c
c compute contribution function C_i (ctri) and C_r (ctrr)
c following Magain (1986, A&A 163, 135)
c
if(ijctr(ij).gt.0) then
xfr0=(freq(ij)-freq(2))/(freq(1)-freq(2))
tauc=ch(1,1)/dens(1)*dm(1)*half
do id=1,nd
chc1=ch(1,id)
chc2=ch(2,id)
chcc=chc2+xfr0*(chc1-chc2)
etc1=et(1,id)
etc2=et(2,id)
etcc=etc2+xfr0*(etc1-etc2)
stcc=etcc/chcc
cint=cint2(id)+xfr0*(cint1(id)-cint2(id))
avx=(chc1+chc2)*0.5*relop
call linop(id,abxli,emxli,avx)
sli0=emxli(ij)/abxli(ij)
abt0=ch(ij,id)
emt0=et(ij,id)
stt0=emt0/abt0
Xkar(id)=abxli(ij)+chcc*stcc/cint
ctri(id)=tauc*abt0/chc1*stt0*exp(-tau(id))
if(tau(id).gt.70.) ctri(id)=0.
ctrr(id)=tauc/chc1*abxli(ij)*(un-sli0/cint)
if(id.lt.nd) then
dtc=(ch(1,id+1)/dens(id+1)+ch(1,id)/dens(id))
tauc=tauc+half*dtc*(dm(id+1)-dm(id))
endif
end do
taurs=Xkar(1)/dens(1)*dm(1)*half
xcti=ctri(1)*half*(dm(2)-dm(1))
xctr=ctrr(1)*half*(dm(2)-dm(1))
do i=1,nd-1
ctrr(i)=ctrr(i)*exp(-taurs)
if(i.eq.1) xctr=xctr*exp(-taurs)
if(i.gt.1) then
xcti=xcti+ctri(i)*half*(dm(i+1)-dm(i-1))
xctr=xctr+ctrr(i)*half*(dm(i+1)-dm(i-1))
endif
if(taurs.gt.70.) ctrr(i)=0.
dtrs=(dm(i+1)-dm(i))*(Xkar(i+1)/dens(i+1)+Xkar(i)/dens(i))
taurs=taurs+half*dtrs
end do
ctrr(nd)=0.
alam=2.997925d18/freq(ij)
il0=ijctr(ij)
il=indlin(il0)
iat=indat(il)/100
ion=mod(indat(il),100)
write(97,376) il,alam,typat(iat),typion(ion),iref,dmref,tref
376 format(i5,f11.4,2x,2a4,i8,1pe12.4,0pf10.1)
do id=1,nd
ctrip=ctri(id)/xcti
ctrrp=ctrr(id)/xctr
write(97,377) id,dm(id),tau(id),ctrip,ctrrp
377 format(i4,1p4e12.4)
end do
else if(ij.eq.1) then
do id=1,nd
cint1(id)=rint(id,nmu0)
end do
else if(ij.eq.2) then
do id=1,nd
cint2(id)=rint(id,nmu0)
end do
endif
endif
641 FORMAT(1H ,f10.3,1pe15.5/(1P5E15.5))
c
c end of the global loop over frequencies
c
END DO
RETURN
END
C
C ********************************************************************
C
SUBROUTINE OUTPRI
C
C Output of synthetic spectrum
C
C Output onto unit 7 serves as an input to the next program
C ROTINS, which performs convolutions for the rotational and
C instrumental broadening, and plots the synthetic spectrum
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
PARAMETER (UN=1.,CAS=1./2.997925D18,EQWC=1.19917D22)
PARAMETER (PI2=3.141592654/2.)
DIMENSION FLX(3),REL(3),ALX(3)
COMMON/EMFLUX/FLUX(MFREQ),FLUXC(MFREQC)
C
if(ifwin.le.0) then
C
C output of synthetic spectrum on unit 7
C
DO IJ=3,NFREQ-1
FLAM=FLUX(IJ)*FREQ(IJ)*FREQ(IJ)*CAS
WRITE(7,701) WLAM(IJ),FLAM
END DO
C
C output of the continuum flux on unit 17
C
FLAM=FLUX(1)*FREQ(1)*FREQ(1)*CAS
WRITE(17,701) WLAM(1),FLAM
IF(IBLANK.EQ.NBLANK) THEN
FLAM=FLUX(NFREQ)*FREQ(NFREQ)*FREQ(NFREQ)*CAS
WRITE(7,701) WLAM(NFREQ),FLAM
FLAM=FLUX(2)*FREQ(2)*FREQ(2)*CAS
WRITE(17,701) WLAM(2),FLAM
END IF
else
DO IJ=1,NFROBS
FLAM=FLUX(IJ)*FRQOBS(IJ)*FRQOBS(IJ)*CAS*0.5
flam=max(flam,1.e-40)
WRITE(7,701) WLobs(IJ),FLAM
END DO
end if
C
C unit 6 and 16 outputs
C
if(iprin.lt.3) return
if(iprin.ge.3) then
WRITE(6,600)
WRITE(6,601)
end if
K1=0
EQW=0.
EQWP=0.
IF(IBLANK.EQ.1) EQWT=0.
IF(IBLANK.EQ.1) EQWTP=0.
XX=UN/(FREQ(2)-FREQ(1))
XXX=UN/(FREQ(1)+FREQ(2))/(FREQ(1)+FREQ(2))
if(ifwin.le.0) then
DO IJ=1,NFREQ
FLAM=FLUX(IJ)*FREQ(IJ)*FREQ(IJ)*CAS
CONT=((FREQ(IJ)-FREQ(1))*FLUX(2)+(FREQ(2)-FREQ(IJ))*FLUX(1))*XX
RE0=FLUX(IJ)/CONT
EQW=EQW+(UN-RE0)*W(IJ)
REP=RE0
IF(REP.GT.UN) REP=UN
EQWP=EQWP+(UN-REP)*W(IJ)
K1=K1+1
FLX(K1)=LOG10(FLAM)
ALX(K1)=WLAM(IJ)
REL(K1)=RE0
IF(K1.EQ.3.OR.IJ.EQ.NFREQ) THEN
WRITE(6,602) (ALX(I),FLX(I),REL(I),I=1,K1)
K1=0
END IF
END DO
else
DO IJ=1,NFROBS
FLAM=FLUX(IJ)*FREQ(IJ)*FREQ(IJ)*CAS
CONT=((FRQOBS(IJ)-FREQ(1))*FLUX(2)+
* (FREQ(2)-FRQOBS(IJ))*FLUX(1))*XX
RE0=FLUX(IJ)/CONT
EQW=EQW+(UN-RE0)*W(IJ)
REP=RE0
IF(REP.GT.UN) REP=UN
EQWP=EQWP+(UN-REP)*W(IJ)
if(iprin.gt.0) then
K1=K1+1
FLX(K1)=LOG10(FLAM)
ALX(K1)=WLAM(IJ)
REL(K1)=RE0
IF(K1.EQ.3.OR.IJ.EQ.NFREQ) THEN
WRITE(6,602) (ALX(I),FLX(I),REL(I),I=1,K1)
K1=0
END IF
end if
END DO
end if
C
C output of partial equivalent widths on unit 16
C
EQW=EQW*EQWC*XXX
EQWT=EQWT+EQW
EQWP=EQWP*EQWC*XXX
EQWTP=EQWTP+EQWP
if(iprin.gt.2) WRITE(6,603) EQW,EQWP,EQWT,EQWTP
WRITE(16,616) WLAM(1),WLAM(2),EQW,EQWP,EQWT,EQWTP
C
600 FORMAT(/' EMERGENT RADIATION'/' ------------------'/)
601 FORMAT(3(' LAMBDA LOG HLAM REL')/)
602 FORMAT(3(2X,F9.3,F8.4,F7.3))
603 FORMAT(/,' EQUIVALENT WIDTH THIS SET =',2F8.1,' mA'/
* ' EQUIVALENT WIDTH TOTAL =',2F8.1,' mA'//)
616 FORMAT(2F12.3,4F12.1)
701 FORMAT(F12.5,1PE15.5)
RETURN
END
C
C ********************************************************************
C
SUBROUTINE CROSET(CROSS)
C
C SET UP ARRAY CROSS - PHOTOIONIZATION CROSS-SECTIONS
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'SYNTHP.FOR'
INCLUDE 'WINCOM.FOR'
DIMENSION CROSS(MCROSS,MFRQ)
common/dissol/fropc(mlevel),indexp(mlevel)
C
IJ0=2
IF(NFREQ.EQ.1) IJ0=1
IF(IMODE.EQ.2) IJ0=NFREQ
DO IJ=1,IJ0
DO IT=1,MCROSS
CROSS(IT,IJ)=0.
END DO
END DO
DO IT=1,NLEVEL
IF(INDEXP(IT).NE.5) THEN
DO IJ=1,IJ0
FR=FREQ(IJ)
CROSS(IT,IJ)=SIGK(FR,IT,0)
END DO
ELSE
DO IJ=1,IJ0
FR=FREQ(IJ)
CROSS(IT,IJ)=SIGK(FR,IT,1)
IF(FR.LT.FROPC(IT)) CROSS(IT,IJ)=0.
END DO
END IF
END DO
C
RETURN
END
C
C ********************************************************************
C
SUBROUTINE CROSEW(CROSS)
C
C SET UP COMMON/PHOPAR/ - PHOTOIONIZATION CROSS-SECTIONS
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'SYNTHP.FOR'
INCLUDE 'WINCOM.FOR'
DIMENSION CROSS(MCROSS,MFRQ)
common/dissol/fropc(mlevel),indexp(mlevel)
C
IJ0=NFREQC
DO IJ=1,IJ0
DO IT=1,MCROSS
CROSS(IT,IJ)=0.
END DO
END DO
DO IT=1,NLEVEL
IF(INDEXP(IT).NE.5) THEN
DO IJ=1,IJ0
FR=FREQC(IJ)
CROSS(IT,IJ)=SIGK(FR,IT,0)
END DO
ELSE
DO IJ=1,IJ0
FR=FREQC(IJ)
CROSS(IT,IJ)=SIGK(FR,IT,1)
IF(FR.LT.FROPC(IT)) CROSS(IT,IJ)=0.
END DO
END IF
END DO
C
RETURN
END
C
C ********************************************************************
C
C
FUNCTION SIGK(FR,ITR,MODE)
C ==========================
C
C driver for evaluating the photoionization cross-sections
C
C Input: FR - frequency
C ITR - index of the transition
c mode - =0 cross-section equal to zero longward of edge
c mode - >0 cross-section non-zero (extrapolated) longward of edge
C
INCLUDE 'PARAMS.FOR'
PARAMETER (SIH0=2.815D29, E10=2.3025851)
parameter (wi1=911.753878, wi2=227.837832, un=1.e0)
CHARACTER*10 TYPLEV(MLEVEL)
COMMON/PRINTP/TYPLEV
COMMON/TOPCS/CTOP(MFIT,MCROSS), ! sigma = alog10(sigma/10^-18) of fit point
+ XTOP(MFIT,MCROSS) ! x = alog10(nu/nu0) of fit point
common/dissol/fropc(mlevel),indexp(mlevel)
DIMENSION XFIT(MFIT) , ! local array containing x for OP data
+ SFIT(MFIT) ! local array containing sigma for OP data
C
PEACH(X,S,A,B) =A*X**S*(B+X*(1.-B))*1.E-18
HENRY(X,S,A,B,C)=A*X**S*(C+X*(B-2.*C+X*(1.+C-B)))*1.E-18
C
SIGK=0.
II=ITR
FR0=ENION(II)/6.6256E-27
IF(FR0.LE.0.) RETURN
wl0=2.997925e18/fr0
C
C wavelength with an explicit correction to the air wavalength
C
IF(WL0.GT.vaclim) THEN
ALM=1.E8/(WL0*WL0)
XN1=64.328+29498.1/(146.-ALM)+255.4/(41.-ALM)
WL0=WL0/(XN1*1.D-6+UN)
fr0=2.997925e18/wl0
END IF
c
IF(mode.eq.0 .and. FR.LT.FR0) RETURN
C
C IBF(ITR) is the switch controlling the mode of evaluation of the
C cross-section:
C = 0 hydrogenic cross-section, with Gaunt factor set to 1
C = 1 hydrogenic cross-section with exact Gaunt factor
C = 2 Peach-type expression (see function PEACH)
C = 3 Henry-type expression (see function HENRY)
C = 4 Butler new calculations
C = 7 hydrogenic cross-section with Gaunt factor from K. Werner
C = 9 Opacity project fits (routine TOPBAS - interpolations)
C > 100 - cross-sections extracted form TOPBASE, for several points
C In this case, IBF-100 is the number of points
C < 0 non-standard, user supplied expression (user should update
C subroutine SPSIGK)
C
C for H- : for any IBF > 0 - standard expression
C for He I:
C for IBF = 11 or = 13 - Opacity Project cross section
C Seaton-Ferney's cubic fits, Hummer's procedure (HEPHOT)
C IBF = 11 means that the multiplicity S=1 (singlet)
C IBF = 13 means that the multiplicity S=3 (triplet)
C for IBF = 10 - cross section, based on Opacity Project, but
C appropriately averaged for an averaged level
C
C
IB=IBF(ITR)
IQ=NQUANT(II)
IE=IEL(II)
IF(IE.EQ.IELHM) THEN
SIGK=SBFHMI(FR)
RETURN
END IF
IF(IE.EQ.IELHE1.AND.IB.GE.10.AND.IB.LE.13) THEN
SIGK=SBFHE1(II,IB,FR)
RETURN
END IF
c
CH=IZ(IE)*IZ(IE)
IQ5=IQ*IQ*IQ*IQ*IQ
C
IF(IB.EQ.0) THEN
C
C hydrogenic expression (for IBF = 0)
C
SIGK=SIH0/FR/FR/FR*CH*CH/IQ5
C
C exact hydrogenic - with Gaunt factor (for IBF=1)
C
ELSE IF(IB.EQ.1) THEN
SIGK=SIH0/FR/FR/FR*CH*CH/IQ5
c IF(FR.GE.FR0.OR.(IE.EQ.IELH.AND.IQ.LE.3))
c * SIGK=SIGK*GAUNT(IQ,FR/CH)
fr0l=0.95*fr0
if(fr.ge.fr0) then
sigk=sigk*gaunt(iq,fr/ch)
else if(fr.ge.fr0l) then
gau0=gaunt(iq,fr0/ch)
corg=(fr-fr0l)/(fr0-fr0l)*(gau0-1.)+1.
sigk=sigk*corg
end if
ELSE IF(IB.EQ.2) THEN
C
C Peach-type formula (for IBF=2)
C
IF(GAMBF(II).GT.0) THEN
IF(GAMBF(II).LT.1.E6) THEN
FR0=2.997925E18/GAMBF(II)
ELSE
FR0=GAMBF(II)
END IF
IF(FR.LT.FR0) RETURN
END IF
FREL=FR0/FR
SIGK=PEACH(FREL,S0BF(II),ALFBF(II),BETBF(II))
ELSE IF(IB.EQ.3) THEN
C
C Henry-type formula (for IBF=3)
C
FREL=FR0/FR
SIGK=HENRY(FREL,S0BF(II),ALFBF(II),BETBF(II),GAMBF(II))
C
C Butler expression
C
ELSE IF(IB.EQ.4) THEN
FREL=FR0/FR
XL=LOG(FREL)
SL=S0BF(II)+XL*(ALFBF(II)+XL*BETBF(II))
SIGK=EXP(SL)
C
C exact hydrogenic - with Gaunt factor from K Werner (for IBF=7)
C
ELSE IF(IB.EQ.7) THEN
IQ5=IQ*IQ*IQ*IQ*IQ
SIGK=SIH0/(FR*FR*FR)*CH*CH/IQ5*GNTK(IQ,FR/CH)
C
C selected Opacity Project data (for IBF=9)
C (c.-s. evaluated by routine TOPBAS which needs an input file RBF.DAT)
C
ELSE IF(IB.EQ.9) THEN
SIGK=TOPBAS(FR,FR0,TYPLEV(II))
C
C other Opacity Project data (for IBF>100)
C (c.-s. evaluated by interpolating from direct input data)
C
ELSE IF(IB.GT.100) THEN
NFIT=IB-100
X = LOG10(FR/FR0)
IF(X.LT.XTOP(1,II)) THEN
SIGM=0.
ELSE
DO IFIT = 1,NFIT
XFIT(IFIT) = XTOP(IFIT,II)
SFIT(IFIT) = CTOP(IFIT,II)
END DO
SIGM = YLINTP (X,XFIT,SFIT,NFIT,MFIT)
SIGM = 1.D-18*EXP(E10*SIGM)
END IF
SIGK=SIGM
ELSE IF(IB.LT.0) THEN
CALL SPSIGK(ITR,IB,FR,SIGSP)
SIGK=SIGSP
END IF
if(iatm(ii).eq.iath.and.ii.gt.n0hn+2.
* and.ib.le.1.and.fr.lt.fr0) then
fr1=fropc(ii)
frdec=min(fr1*1.25,fr0)
if(fr.gt.fr1.and.fr.lt.frdec)
* sigk=sigk*(fr-fr1)/(frdec-fr1)
end if
RETURN
END
C
C
C ****************************************************************
C
C
FUNCTION GAUNT(I,FR)
C ====================
C
C Hydrogenic bound-free Gaunt factor for the principal quantum
C number I and frequency FR
C
INCLUDE 'PARAMS.FOR'
X=FR/2.99793E14
GAUNT=1.
IF(I.EQ.1) THEN
GAUNT=1.2302628+X*(-2.9094219E-3+X*(7.3993579E-6-8.7356966E-9*X))
*+(12.803223/X-5.5759888)/X
ELSE IF(I.EQ.2) THEN
GAUNT=1.1595421+X*(-2.0735860E-3+2.7033384E-6*X)+(-1.2709045+
*(-2.0244141/X+2.1325684)/X)/X
ELSE IF(I.EQ.3) THEN
GAUNT=1.1450949+X*(-1.9366592E-3+2.3572356E-6*X)+(-0.55936432+
*(-0.23387146/X+0.52471924)/X)/X
ELSE IF(I.EQ.4) THEN
GAUNT=1.1306695+X*(-1.3482273E-3+X*(-4.6949424E-6+2.3548636E-8*X))
*+(-0.31190730+(0.19683564-5.4418565E-2/X)/X)/X
ELSE IF(I.EQ.5) THEN
GAUNT=1.1190904+X*(-1.0401085E-3+X*(-6.9943488E-6+2.8496742E-8*X))
*+(-0.16051018+(5.5545091E-2-8.9182854E-3/X)/X)/X
ELSE IF(I.EQ.6) THEN
GAUNT=1.1168376+X*(-8.9466573E-4+X*(-8.8393133E-6+3.4696768E-8*X))
*+(-0.13075417+(4.1921183E-2-5.5303574E-3/X)/X)/X
ELSE IF(I.EQ.7) THEN
GAUNT=1.1128632+X*(-7.4833260E-4+X*(-1.0244504E-5+3.8595771E-8*X))
*+(-9.5441161E-2+(2.3350812E-2-2.2752881E-3/X)/X)/X
ELSE IF(I.EQ.8) THEN
GAUNT=1.1093137+X*(-6.2619148E-4+X*(-1.1342068E-5+4.1477731E-8*X))
*+(-7.1010560E-2+(1.3298411E-2 -9.7200274E-4/X)/X)/X
ELSE IF(I.EQ.9) THEN
GAUNT=1.1078717+X*(-5.4837392E-4+X*(-1.2157943E-5+4.3796716E-8*X))
*+(-5.6046560E-2+(8.5139736E-3-4.9576163E-4/X)/X)/X
ELSE IF(I.EQ.10) THEN
GAUNT=1.1052734+X*(-4.4341570E-4+X*(-1.3235905E-5+4.7003140E-8*X))
*+(-4.7326370E-2+(6.1516856E-3-2.9467046E-4/X)/X)/X
END IF
RETURN
END
C
C
C ****************************************************************
C
C
FUNCTION GNTK(I,FR)
C ===================
C
C Hydrogenic bound-free Gaunt factor for the principal quantum
C number I and frequency FR (from Klaus Werner)
C
INCLUDE 'PARAMS.FOR'
GNTK=1.
IF(I.GT.3) GO TO 16
Y=1./FR
GO TO (1,2,3),I
1 GNTK=0.9916+Y*(2.71852D13-Y*2.26846D30)
GO TO 16
2 GNTK=1.1050-Y*(2.37490D14-Y*4.07677D28)
GO TO 16
3 GNTK=1.1010-Y*(0.98632D14-Y*1.03540D28)
16 RETURN
END
C
C
C ****************************************************************
C
C
SUBROUTINE SPSIGK(ITR,IB,FR,SIGSP)
C ==================================
C
C Non-standard evaluation of the photoionization cross-sections
C Basically user-suppled procedure; here are some examples
C
INCLUDE 'PARAMS.FOR'
SIGSP=0.
if(itr.le.0) return
C
C Special formula for the He I ground state
C
IF(IB.EQ.-201) SIGSP=7.3E-18*EXP(1.373-2.311E-16*FR)
C
C Special formula for the averaged <n=2> level of He I
C
IF(IB.EQ.-202) SIGSP=SGHE12(FR)
C
C Carbon ground configuration levels 2p2 1D and 1S
C
IF(IB.EQ.-602.OR.IB.EQ.-603) THEN
CALL CARBON(IB,FR,SG)
SIGSP=SG
END IF
C
C Hidalgo (Ap.J. 153, 981, 1968) photoionization data
C
IF(IB.LE.-101.AND.IB.GE.-137) SIGSP=HIDALG(IB,FR)
C
C Reilman and Manson (Ap.J. Suppl. 40, 815, 1979) photoionization data
C
IF(IB.LE.-301.AND.IB.GE.-337) SIGSP=REIMAN(IB,FR)
RETURN
END
C
C
C
C ****************************************************************
C
C
SUBROUTINE CARBON(IB,FR,SG)
C ===========================
C
C Photoionization cross-section for neutral carbon 2p1D and 2p1S
C levels (G.B.Taylor - private communication)
C
INCLUDE 'PARAMS.FOR'
DIMENSION FR2(34),SG2(34),FR3(45),SG3(45)
DATA FR2/ 0.74, 0.75, 0.76, 0.77, 0.78, 0.79, 0.80, 0.81, 0.82,
* 0.83, 0.85, 0.86, 0.87, 0.88, 0.89, 0.90,
* 0.91, 0.92, 0.93, 0.94, 0.95, 0.96, 0.97, 0.98, 0.99,
* 1.00, 1.10, 1.20, 1.30, 1.45, 1.50, 1.60, 1.80, 2./
DATA SG2/ 12.04, 12.03, 12.09, 12.26, 12.60, 13.24, 14.36, 16.24,
* 19.28, 23.94, 37.41, 42.88, 44.76, 43.41, 40.46, 37.19,
* 34.26, 31.82, 29.96, 28.57, 27.68, 27.37, 27.84, 29.69,
* 34.45, 46.35, 13.80, 11.54, 10.40, 8.96, 8.54, 7.47,
* 6.53, 5.66/
DATA FR3/ 0.66, 0.68, 0.70, 0.72, 0.74, 0.76, 0.78, 0.80, 0.82,
* 0.84, 0.86, 0.864,0.866,0.868,0.87, 0.874,0.876,0.88,
* 0.882,0.884,0.886,0.888,0.89 ,0.894,0.896,0.898,0.90,
* 0.904,0.908,0.910,0.920,0.94, 0.98, 1.00, 1.10, 1.20,
* 1.26, 1.34, 1.36, 1.40, 1.46, 1.60, 1.70, 1.80, 2./
DATA SG3/ 13.94, 13.29, 12.56, 11.73, 10.82, 10.18, 8.62, 7.27,
* 5.74, 4.14, 4.61, 5.92, 6.94, 8.34, 10.21, 16.12,
* 20.64, 34.56, 44.82, 57.71, 73.09, 89.99,106.38,127.08,
* 128.38,124.44,117.17, 99.32, 82.95, 76.05, 52.65, 33.23,
* 21.29, 18.69, 12.62, 11.44, 9.77, 7.53, 10.47, 9.65,
* 10.19, 7.28, 6.70, 6.11, 4.96/
DATA NC2,NC3/34,45/
DATA FR0/3.28805E15/
F=FR/FR0
IF(IB.NE.-602) GO TO 25
J=2
IF(F.LE.FR2(1)) GO TO 20
DO 10 I=2,NC2
J=I
IF(F.GT.FR2(I-1).AND.F.LE.FR2(I)) GO TO 20
10 CONTINUE
20 SG=(F-FR2(J-1))/(FR2(J)-FR2(J-1))*(SG2(J)-SG2(J-1))+SG2(J-1)
SG=SG*1.E-18
25 IF(IB.NE.-603) GO TO 50
J=2
IF(F.LE.FR3(1)) GO TO 40
DO 30 I=2,NC3
J=I
IF(F.GT.FR3(I-1).AND.F.LE.FR3(I)) GO TO 40
30 CONTINUE
40 SG=(F-FR3(J-1))/(FR3(J)-FR3(J-1))*(SG3(J)-SG3(J-1))+SG3(J-1)
SG=SG*1.E-18
50 CONTINUE
RETURN
END
C
C
C ****************************************************************
C
FUNCTION SGHE12(FR)
C ===================
C
C Special formula for the photoionization cross-section from the
C averaged <n=2> level of He I
C
INCLUDE 'PARAMS.FOR'
DATA C1/3.E0/,C2/9.E0/,C3/1.6E1/,
* A1/6.45105E-18/,A2/3.02E-19/,A3/9.9847E-18/,A4/1.1763673E-17/,
* A5/3.63662E-19/,A6/-2.783E2/,A7/1.488E1/,A8/-2.311E-1/,
* E1/3.5E0/,E2/3.6E0/,E3/1.91E0/,E4/2.9E0/,E5/3.3E0/
X=FR*1.E-15
XX=LOG(FR)
SGHE12=(C1*(A1/X**E1+A2/X**E2)+A3/X**E3+C2*(A4/X**E4+A5/X**E5)+
* C1*EXP(A6+XX*(A7+XX*A8)))/C3
RETURN
END
C
C
C ****************************************************************
C
C
FUNCTION HIDALG(IB,FR)
C ======================
C
C Read table of wavelengths and photo-ionization cross-sections
C from Hidalgo (1968, Ap. J., 153, 981) for the species indicated by IB
C (Hidalgo's number = INDEX = -IB-100).
C Compute linearly interpolated value of the cross-section
C at the frequency FR.
C
INCLUDE 'PARAMS.FOR'
DIMENSION WL1(20),WL2(20),WLI(20),SIG0(20,24),SIGS(20)
C
DATA WL1 /
* 39.1, 80.9, 97.6,100.1,104.3,107.2,108.7,111.9,113.6,115.4,
* 117.1,119.0,124.8,126.9,129.1,131.3,133.6,136.0,138.5,141.1/
DATA WL2 /
* 68.5, 80.9,100.1,120.9,158.8,165.7,177.3,190.6,200.7,206.2,
* 211.9,218.0,224.5,231.3,246.3,5*0./
DATA SIG0 /
*120*0.,
*.0460,.2400,.3500,.3700,.4000,.4300,.4400,.4600,.4700,.4900,
*.5000,.5200,.5700,.6200, 6*0.,
* 80*0.,
*.0092,.1000,.1900,.2100,.2300,.2500,.2600,.2900,.3000,.3200,
*.3400,.3500,.4100,.4300,.4500,.4800,.5000,.5300,.5600,.5900,
* 20*0.,
*.3400,.4600,.6300,.7700,.9100,1.080, 14*0.,
* 20*0.,
*.0064,.1100,.2200,.4100,.9400,1.000,1.300,1.600, 12*0.,
* 80*0.,
*.0370,.0650,.1300,.2400,.5500,.6300,.7700,.9500,1.100,1.250,
* 10*0.,
* 40*0.,
*.0220,.0390,.0800,.1500,.3500,.4000,.4900,.6200,.7200,.7800,
*.8500,.9300,1.020,
* 7*0./
C
INDEX=-IB-100
NUM=20
IF(INDEX.GE.13.AND.INDEX.LE.27) NUM=15
DO 10 I=1,NUM
IF(INDEX.LT.13) WLI(I)=WL1(I)
IF(INDEX.GE.13) WLI(I)=WL2(I)
SIGS(I)=SIG0(I,INDEX)
10 CONTINUE
C
WLAM=2.997925E18/FR
IL=1
IR=NUM
DO 50 I=1,NUM-1
IF(WLAM.GE.WLI(I).AND.WLAM.LE.WLI(I+1)) THEN
IL=I
IR=I+1
GO TO 60
ENDIF
50 CONTINUE
C
C LINEAR INTERPOLATION:
C
60 SIGM=(SIGS(IR)-SIGS(IL))*(WLAM-WLI(IL))/(WLI(IR)-WLI(IL))
* + SIGS(IL)
C
C IF OUTSIDE WAVELENGTH RANGE SET TO FIRST(LAST) VALUE:
C
IF(WLAM.LE.WLI(1)) SIGM=SIGS(1)
IF(WLAM.GE.WLI(NUM)) SIGM=SIGS(NUM)
C
C IF LAST NON-ZERO SIG VALUES, NO INTERPOLATION:
C
c IF(SIGS(IR).EQ.0.) SIGM=SIGS(IL)
C
HIDALG=SIGM*1.E-18
RETURN
END
C
C
C ****************************************************************
C
C
FUNCTION REIMAN(IB,FR)
C ======================
C
C Read table of photon energies and photo-ionization cross-sections
C from Reilman & Manson (1979, Ap. J. Suppl., 40, 815) for the species
C indicated by IB
C
C Compute linearly interpolated value of the cross-section
C at the frequency FR.
C
C (At the moment, only a few transitions are considered)
C
INCLUDE 'PARAMS.FOR'
DIMENSION HEV(30),F0(30),SIG0(30,2),SIGS(30)
C
DATA HEV /
* 130.,160.,190.,210.,240.,270.,300.,330.,360.,390.,
* 420.,450.,480.,510.,540.,570.,600.,630.,660.,690.,
* 720.,750.,780.,810.,840.,870.,900.,930.,960.,990./
DATA SIG0 /
* 3*0., 4.422E-1, 3.478E-1,
* 2.794E-1, 2.286E-1, 1.899E-1, 1.598E-1, 1.360E-1,
* 1.169E-1, 1.013E-1, 8.845E-2, 7.776E-2, 6.877E-2,
* 6.114E-2, 5.463E-2, 4.904E-2, 4.419E-2, 3.998E-2,
* 3.629E-2, 3.305E-2, 3.019E-2, 2.766E-2, 2.540E-2,
* 2.339E-2, 2.158E-2, 1.996E-2, 1.850E-2, 1.718E-2,
* 4*0., 1.981E-1, 1.584E-1,
* 1.290E-1, 1.066E-1, 8.932E-2, 7.567E-2, 6.475E-2,
* 5.589E-2, 4.862E-2, 4.259E-2, 3.754E-2, 3.329E-2,
* 2.966E-2, 2.656E-2, 2.388E-2, 2.157E-2, 1.954E-2,
* 1.777E-2, 1.621E-2, 1.484E-2, 1.362E-2, 1.253E-2,
* 1.155E-2, 1.067E-2, 9.888E-3, 9.179E-3/
C
INDEX=-IB-300
NUM=30
DO 10 I=1,NUM
F0(I)=HEV(I)*2.418573E14
SIGS(I)=SIG0(I,INDEX)
10 CONTINUE
C
IL=1
IR=NUM
DO 50 I=1,NUM-1
IF(FR.GE.F0(I).AND.FR.LE.F0(I+1)) THEN
IL=I
IR=I+1
GO TO 60
ENDIF
50 CONTINUE
C
C LINEAR INTERPOLATION:
C
60 SIGM=(SIGS(IR)-SIGS(IL))*(FR-F0(IL))/(F0(IR)-F0(IL))
* + SIGS(IL)
C
C IF OUTSIDE WAVELENGTH RANGE SET TO FIRST(LAST) VALUE:
C
IF(FR.LE.F0(1)) SIGM=SIGS(1)
IF(FR.GE.F0(NUM)) SIGM=SIGS(NUM)
C
C IF LAST NON-ZERO SIG VALUES, NO INTERPOLATION:
C
c IF(SIGS(IR).EQ.0.) SIGM=SIGS(IL)
C
REIMAN=SIGM*1.E-18
RETURN
END
C
C
C ****************************************************************
C
C
FUNCTION SBFHE1(II,IB,FR)
C =========================
C
C Calculates photoionization cross sections of neutral helium
C from states with n = 1, 2, 3, 4.
C
C The levels are either non-averaged (l,s) states, or some
C averaged levels.
C The program allows only two standard possibilities of
C constructing averaged levels:
C i) all states within given principal quantum number n (>1) are
C lumped together
C ii) all siglet states for given n, and all triplet states for
C given n are lumped together separately (there are thus two
C explicit levels for a given n)
C
C The cross sections are calculated using appropriate averages
C of the Opacity Project cross sections, calculated by procedure
C HEPHOT
C
C Input parameters:
C II - index of the lower level (in the numbering of explicit
C levels)
C IB - photoionization switch IBF for the given transition
C = 10 - means that the given transition is from an
C averaged level
C = 11 - the given transition is from non-averaged
C singlet state
C = 13 - the given transition is from non-averaged
C triplet state
C FR - frequency
C
INCLUDE 'PARAMS.FOR'
C
NI=NQUANT(II)
IGI=INT(G(II)+0.01)
IS=IB-10
sbfhe1=0.
C
C ----------------------------------------------------------------
C IB=11 or 13 - photoionization from an non-averaged (l,s) level
C ----------------------------------------------------------------
C
IF(IS.EQ.1.OR.IS.EQ.3) THEN
IL=(IGI/IS-1)/2
SBFHE1=HEPHOT(IS,IL,NI,FR)
END IF
C
C ----------------------------------------------------------------
C IS=10 - photoionization from an averaged level
C ----------------------------------------------------------------
C
IF(IS.EQ.0) THEN
IF(NI.EQ.2) THEN
C
C ******** photoionization from an averaged level with n=2
C
IF(IGI.EQ.4) THEN
C
C a) lower level is an averaged singlet state
C
SBFHE1=(HEPHOT(1,0,2,FR)+3.D0*HEPHOT(1,1,2,FR))/9.D0
ELSE IF(IGI.EQ.12) THEN
C
C b) lower level is an averaged triplet state
C
SBFHE1=(HEPHOT(3,0,2,FR)+3.D0*HEPHOT(3,1,2,FR))/9.D0
ELSE IF(IGI.EQ.16) THEN
C
C c) lower level is an average of both singlet and triplet states
C
SBFHE1=(HEPHOT(1,0,2,FR)+3.D0*(HEPHOT(1,1,2,FR)+
* HEPHOT(3,0,2,FR))+9.D0*HEPHOT(3,1,2,FR))/1.6D1
ELSE
GO TO 10
END IF
C
C
C ******** photoionization from an averaged level with n=3
C
ELSE IF(NI.EQ.3) THEN
IF(IGI.EQ.9) THEN
C
C a) lower level is an averaged singlet state
C
SBFHE1=(HEPHOT(1,0,3,FR)+3.D0*HEPHOT(1,1,3,FR)+
* 5.D0*HEPHOT(1,2,3,FR))/9.D0
ELSE IF(IGI.EQ.27) THEN
C
C b) lower level is an averaged triplet state
C
SBFHE1=(HEPHOT(3,0,3,FR)+3.D0*HEPHOT(3,1,3,FR)+
* 5.D0*HEPHOT(3,2,3,FR))/9.D0
ELSE IF(IGI.EQ.36) THEN
C
C c) lower level is an average of both singlet and triplet states
C
SBFHE1=(HEPHOT(1,0,3,FR)+3.D0*HEPHOT(1,1,3,FR)+
* 5.D0*HEPHOT(1,2,3,FR)+
* 3.D0*HEPHOT(3,0,3,FR)+9.D0*HEPHOT(3,1,3,FR)+
* 15.D0*HEPHOT(3,2,3,FR))/3.6D0
ELSE
GO TO 10
END IF
ELSE IF(NI.EQ.4) THEN
C
C ******** photoionization from an averaged level with n=4
C
IF(IGI.EQ.16) THEN
C
C a) lower level is an averaged singlet state
C
SBFHE1=(HEPHOT(1,0,4,FR)+3.D0*HEPHOT(1,1,4,FR)+
* 5.D0*HEPHOT(1,2,4,FR)+
* 7.D0*HEPHOT(1,3,4,FR))/1.6D1
ELSE IF(IGI.EQ.48) THEN
C
C b) lower level is an averaged triplet state
C
SBFHE1=(HEPHOT(3,0,4,FR)+3.D0*HEPHOT(3,1,4,FR)+
* 5.D0*HEPHOT(3,2,4,FR)+
* 7.D0*HEPHOT(3,3,4,FR))/1.6D1
ELSE IF(IGI.EQ.64) THEN
C
C c) lower level is an average of both singlet and triplet states
C
SBFHE1=(HEPHOT(1,0,4,FR)+3.D0*HEPHOT(1,1,4,FR)+
* 5.D0*HEPHOT(1,2,4,FR)+
* 7.D0*HEPHOT(1,3,4,FR)+
* 3.D0*HEPHOT(3,0,4,FR)+
* 9.D0*HEPHOT(3,1,4,FR)+
* 15.D0*HEPHOT(3,2,4,FR)+
* 21.D0*HEPHOT(3,3,4,FR))/6.4D1
ELSE
GO TO 10
END IF
ELSE
GO TO 10
END IF
END IF
RETURN
10 WRITE(6,601) NI,IGI,IS
601 FORMAT(1H0/' INCONSISTENT INPUT TO PROCEDURE SBFHE1'/
* ' QUANTUM NUMBER =',I3,' STATISTICAL WEIGHT',I4,' S=',I3)
STOP
END
C
C
C ****************************************************************
C
C
FUNCTION HEPHOT(S,L,N,FREQ)
C ===========================
C
C EVALUATES HE I PHOTOIONIZATION CROSS SECTION USING SEATON
C FERNLEY'S CUBIC FITS TO THE OPACITY PROJECT CROSS SECTIONS
C UP TO SOME ENERGY "EFITM" IN THE RESONANCE-FREE ZONE. BEYOND
C THIS ENERGY LINEAR FITS TO LOG SIGMA IN LOG (E/E0) ARE USED.
C THIS EXTRAPOLATION SHOULD BE USED UP TO THE BEGINNING OF THE
C RESONANCE ZONE "XMAX", BUT AT PRESENT IT IS USED THROUGH IT.
C BY CHANGING A FEW LINES THAT ARE PRESENTLY COMMENTED OUT,
C FOR ENERGIES IN THE RESONANCE ZONE A VALUE OF 1/100 OF THE
C THRESHOLD CROSS SECTION IS USED -- THIS IS PURELY AD HOC AND
C ONLY A TEMPORARY MEASURE. OBVIOUSLY ANY OTHER VALUE OR FUNCTIONAL
C FORM CAN BE INSERTED HERE.
C
C CALLING SEQUENCE INCLUDES:
C S = MULTIPLICITY, EITHER 1 OR 3
C L = ANGULAR MOMENTUM, 0, 1, OR 2;
C for L > 2 - hydrogenic expresion
C FREQ = FREQUENCY
C
C DGH JUNE 1988 JILA, slightly modified by I.H.
C
INCLUDE 'PARAMS.FOR'
INTEGER S,L,SS,LL
DIMENSION COEF(4,53),IST(3,2),N0(3,2),
* FL0(53),A(53),B(53),XFITM(53)
c DIMENSION XMAX(53)
C
DATA IST/1,36,20,11,45,28/
DATA N0/1,2,3,2,2,3/
C
DATA FL0/
. 2.521D-01,-5.381D-01,-9.139D-01,-1.175D+00,-1.375D+00,-1.537D+00,
.-1.674D+00,-1.792D+00,-1.896D+00,-1.989D+00,-4.555D-01,-8.622D-01,
.-1.137D+00,-1.345D+00,-1.512D+00,-1.653D+00,-1.774D+00,-1.880D+00,
.-1.974D+00,-9.538D-01,-1.204D+00,-1.398D+00,-1.556D+00,-1.690D+00,
.-1.806D+00,-1.909D+00,-2.000D+00,-9.537D-01,-1.204D+00,-1.398D+00,
.-1.556D+00,-1.690D+00,-1.806D+00,-1.909D+00,-2.000D+00,-6.065D-01,
.-9.578D-01,-1.207D+00,-1.400D+00,-1.558D+00,-1.692D+00,-1.808D+00,
.-1.910D+00,-2.002D+00,-5.749D-01,-9.352D-01,-1.190D+00,-1.386D+00,
.-1.547D+00,-1.682D+00,-1.799D+00,-1.902D+00,-1.995D+00/
C
DATA XFITM/
. 3.262D-01, 6.135D-01, 9.233D-01, 8.438D-01, 1.020D+00, 1.169D+00,
. 1.298D+00, 1.411D+00, 1.512D+00, 1.602D+00, 7.228D-01, 1.076D+00,
. 1.206D+00, 1.404D+00, 1.481D+00, 1.464D+00, 1.581D+00, 1.685D+00,
. 1.777D+00, 9.586D-01, 1.187D+00, 1.371D+00, 1.524D+00, 1.740D+00,
. 1.854D+00, 1.955D+00, 2.046D+00, 9.585D-01, 1.041D+00, 1.371D+00,
. 1.608D+00, 1.739D+00, 1.768D+00, 1.869D+00, 1.803D+00, 7.360D-01,
. 1.041D+00, 1.272D+00, 1.457D+00, 1.611D+00, 1.741D+00, 1.855D+00,
. 1.870D+00, 1.804D+00, 9.302D-01, 1.144D+00, 1.028D+00, 1.210D+00,
. 1.362D+00, 1.646D+00, 1.761D+00, 1.863D+00, 1.954D+00/
C
DATA A/
. 6.95319D-01, 1.13101D+00, 1.36313D+00, 1.51684D+00, 1.64767D+00,
. 1.75643D+00, 1.84458D+00, 1.87243D+00, 1.85628D+00, 1.90889D+00,
. 9.01802D-01, 1.25389D+00, 1.39033D+00, 1.55226D+00, 1.60658D+00,
. 1.65930D+00, 1.68855D+00, 1.62477D+00, 1.66726D+00, 1.83599D+00,
. 2.50403D+00, 3.08564D+00, 3.56545D+00, 4.25922D+00, 4.61346D+00,
. 4.91417D+00, 5.19211D+00, 1.74181D+00, 2.25756D+00, 2.95625D+00,
. 3.65899D+00, 4.04397D+00, 4.13410D+00, 4.43538D+00, 4.19583D+00,
. 1.79027D+00, 2.23543D+00, 2.63942D+00, 3.02461D+00, 3.35018D+00,
. 3.62067D+00, 3.85218D+00, 3.76689D+00, 3.49318D+00, 1.16294D+00,
. 1.86467D+00, 2.02110D+00, 2.24231D+00, 2.44240D+00, 2.76594D+00,
. 2.93230D+00, 3.08109D+00, 3.21069D+00/
C
DATA B/
.-1.29000D+00,-2.15771D+00,-2.13263D+00,-2.10272D+00,-2.10861D+00,
.-2.11507D+00,-2.11710D+00,-2.08531D+00,-2.03296D+00,-2.03441D+00,
.-1.85905D+00,-2.04057D+00,-2.02189D+00,-2.05930D+00,-2.03403D+00,
.-2.02071D+00,-1.99956D+00,-1.92851D+00,-1.92905D+00,-4.58608D+00,
.-4.40022D+00,-4.39154D+00,-4.39676D+00,-4.57631D+00,-4.57120D+00,
.-4.56188D+00,-4.55915D+00,-4.41218D+00,-4.12940D+00,-4.24401D+00,
.-4.40783D+00,-4.39930D+00,-4.25981D+00,-4.26804D+00,-4.00419D+00,
.-4.47251D+00,-3.87960D+00,-3.71668D+00,-3.68461D+00,-3.67173D+00,
.-3.65991D+00,-3.64968D+00,-3.48666D+00,-3.23985D+00,-2.95758D+00,
.-3.07110D+00,-2.87157D+00,-2.83137D+00,-2.82132D+00,-2.91084D+00,
.-2.91159D+00,-2.91336D+00,-2.91296D+00/
C
DATA ((COEF(I,J),I=1,4),J=1,10)/
. 8.734D-01,-1.545D+00,-1.093D+00, 5.918D-01, 9.771D-01,-1.567D+00,
.-4.739D-01,-1.302D-01, 1.174D+00,-1.638D+00,-2.831D-01,-3.281D-02,
. 1.324D+00,-1.692D+00,-2.916D-01, 9.027D-02, 1.445D+00,-1.761D+00,
.-1.902D-01, 4.401D-02, 1.546D+00,-1.817D+00,-1.278D-01, 2.293D-02,
. 1.635D+00,-1.864D+00,-8.252D-02, 9.854D-03, 1.712D+00,-1.903D+00,
.-5.206D-02, 2.892D-03, 1.782D+00,-1.936D+00,-2.952D-02,-1.405D-03,
. 1.845D+00,-1.964D+00,-1.152D-02,-4.487D-03/
DATA ((COEF(I,J),I=1,4),J=11,19)/
. 7.377D-01,-9.327D-01,-1.466D+00, 6.891D-01, 9.031D-01,-1.157D+00,
.-7.151D-01, 1.832D-01, 1.031D+00,-1.313D+00,-4.517D-01, 9.207D-02,
. 1.135D+00,-1.441D+00,-2.724D-01, 3.105D-02, 1.225D+00,-1.536D+00,
.-1.725D-01, 7.191D-03, 1.302D+00,-1.602D+00,-1.300D-01, 7.345D-03,
. 1.372D+00,-1.664D+00,-8.204D-02,-1.643D-03, 1.434D+00,-1.715D+00,
.-4.646D-02,-7.456D-03, 1.491D+00,-1.760D+00,-1.838D-02,-1.152D-02/
DATA ((COEF(I,J),I=1,4),J=20,27)/
. 1.258D+00,-3.442D+00,-4.731D-01,-9.522D-02, 1.553D+00,-2.781D+00,
.-6.841D-01,-4.083D-03, 1.727D+00,-2.494D+00,-5.785D-01,-6.015D-02,
. 1.853D+00,-2.347D+00,-4.611D-01,-9.615D-02, 1.955D+00,-2.273D+00,
.-3.457D-01,-1.245D-01, 2.041D+00,-2.226D+00,-2.669D-01,-1.344D-01,
. 2.115D+00,-2.200D+00,-1.999D-01,-1.410D-01, 2.182D+00,-2.188D+00,
.-1.405D-01,-1.460D-01/
DATA ((COEF(I,J),I=1,4),J=28,35)/
. 1.267D+00,-3.417D+00,-5.038D-01,-1.797D-02, 1.565D+00,-2.781D+00,
.-6.497D-01,-5.979D-03, 1.741D+00,-2.479D+00,-6.099D-01,-2.227D-02,
. 1.870D+00,-2.336D+00,-4.899D-01,-6.616D-02, 1.973D+00,-2.253D+00,
.-3.972D-01,-8.729D-02, 2.061D+00,-2.212D+00,-3.072D-01,-1.060D-01,
. 2.137D+00,-2.189D+00,-2.352D-01,-1.171D-01, 2.205D+00,-2.186D+00,
.-1.621D-01,-1.296D-01/
DATA ((COEF(I,J),I=1,4),J=36,44)/
. 1.129D+00,-3.149D+00,-1.910D-01,-5.244D-01, 1.431D+00,-2.511D+00,
.-3.710D-01,-1.933D-01, 1.620D+00,-2.303D+00,-3.045D-01,-1.391D-01,
. 1.763D+00,-2.235D+00,-1.829D-01,-1.491D-01, 1.879D+00,-2.215D+00,
.-9.003D-02,-1.537D-01, 1.978D+00,-2.213D+00,-2.066D-02,-1.541D-01,
. 2.064D+00,-2.220D+00, 3.258D-02,-1.527D-01, 2.140D+00,-2.225D+00,
. 6.311D-02,-1.455D-01, 2.208D+00,-2.229D+00, 7.977D-02,-1.357D-01/
DATA ((COEF(I,J),I=1,4),J=45,53)/
. 1.204D+00,-2.809D+00,-3.094D-01, 1.100D-01, 1.455D+00,-2.254D+00,
.-4.795D-01, 6.872D-02, 1.619D+00,-2.109D+00,-3.357D-01,-2.532D-02,
. 1.747D+00,-2.065D+00,-2.317D-01,-5.224D-02, 1.853D+00,-2.058D+00,
.-1.517D-01,-6.647D-02, 1.943D+00,-2.055D+00,-1.158D-01,-6.081D-02,
. 2.023D+00,-2.070D+00,-6.470D-02,-6.800D-02, 2.095D+00,-2.088D+00,
.-2.357D-02,-7.250D-02, 2.160D+00,-2.107D+00, 1.065D-02,-7.542D-02/
C
IF(L.GT.2) GO TO 20
C
C SELECT BEGINNING AND END OF COEFFICIENTS
C
SS=(S+1)/2
LL=L+1
NSL0=N0(LL,SS)
I=IST(LL,SS)+N-NSL0
C
C EVALUATE CROSS SECTION
C
FL=LOG10(FREQ/3.28805E15)
X=FL-FL0(I)
IF(X.GE.-0.001D0) THEN
IF(X.LT.XFITM(I)) THEN
P=COEF(4,I)
DO 10 K=1,3
P=X*P+COEF(4-K,I)
10 CONTINUE
HEPHOT=1.D-18*1.D1**P
ELSE
C OTHERWISE REMOVE INSTRUCTION AND 3 FOLLOWING "C"
C ELSE IF(X.LT.XMAX(I)) THEN
HEPHOT=1.D-18*1.D1**(A(I)+B(I)*X)
C ELSE
C HEPHOT=1.D-18*1.D1**(COEF(1,I)-2.0D0)
END IF
ELSE
HEPHOT=0.
END IF
RETURN
C
C Hydrogenic expression for L > 2
C [multiplied by relative population of state (s,l,n), ie.
C by stat.weight(s,l)/stat.weight(n)]
C
20 GN=2.D0*N*N
HEPHOT=2.815D29/FREQ/FREQ/FREQ/N**5*(2*L+1)*S/GN
RETURN
END
C
C
C ****************************************************************
C
C
FUNCTION TOPBAS(FREQ,FREQ0,TYPLV)
C ==================================
C
C Procedure calculates the photo-ionisation cross section SIGMA in
C [cm^2] at frequency FREQ. FREQ0 is the threshold frequency from
C level I of ion KI. Threshold cross-sections will be of the order
C of the numerical value of 10^-18.
C Opacity-Project (OP) interpolation fit formula
C
INCLUDE 'PARAMS.FOR'
PARAMETER (E10=2.3025851)
PARAMETER (MMAXOP = 200,! maximum number of levels in OP data
+ MOP = 15 )! maximum number of fit points per level
CHARACTER*10 IDLVOP(MMAXOP) ! level identifyer Opacity-Project data
CHARACTER*10 TYPLV
COMMON /TOPB/ SOP(MOP,MMAXOP) ,! sigma = alog10(sigma/10^-18) of fit point
+ XOP(MOP,MMAXOP) ,! x = alog10(nu/nu0) of fit point
+ NOP(MMAXOP) ,! number of fit points for current level
+ NTOTOP ,! total number of levels in OP data
+ IDLVOP ,! level identifyer Opacity-Project data
+ LOPREA ! .T. OP data read in; .F. OP data not yer read in
DIMENSION XFIT(MOP) ,! local array containing x for OP data
+ SFIT(MOP) ! local array containing sigma for OP data
C
C Read OP data if not yet done
C
TOPBAS=0.
IF (.NOT.LOPREA) CALL OPDATA
X = LOG10(FREQ/FREQ0)
DO IOP = 1,NTOTOP
IF (IDLVOP(IOP).EQ.TYPLV) THEN
C level has been detected in OP-data file
IF (NOP(IOP).LE.0) GO TO 20
DO IFIT = 1,NOP(IOP)
XFIT(IFIT) = XOP(IFIT,IOP)
SFIT(IFIT) = SOP(IFIT,IOP)
END DO
SIGM = YLINTP (X,XFIT,SFIT,NOP(IOP),MOP)
SIGM = 1.D-18*EXP(E10*SIGM)
TOPBAS=SIGM
GO TO 10
END IF
END DO
10 RETURN
C Level is not found ,or no data for this level, in RBF.DAT
20 WRITE (61,100) TYPLV
100 FORMAT ('SIGMA.......: OP DATA NOT AVAILABLE FOR LEVEL ',A10)
RETURN
END
C
C ******************************************************************
C
C
SUBROUTINE OPDATA
C =================
C
C Procedure reads photo-ionization cross sections fit coefficients
C based on Opacity-Project (OP) data from file RBF.DAT
C Data, as stored, requires linear interpolation.
C
C Meaning of global variables:
C NTOTOP = total number of levels in Opacity Project data
C IDLVOP() = level identifyer of current level
C NOP() = number of fit points for current level
C XOP(,) = x = alog10(nu/nu0) of fit point
C SOP(,) = sigma = alog10(sigma/10^-18) of fit point
C
INCLUDE 'PARAMS.FOR'
PARAMETER (MMAXOP = 200,! maximum number of levels in OP data
+ MOP = 15 )! maximum number of fit points per level
CHARACTER*10 IDLVOP(MMAXOP) ! level identifyer Opacity-Project data
COMMON /TOPB/ SOP(MOP,MMAXOP) ,! sigma = alog10(sigma/10^-18) of fit point
+ XOP(MOP,MMAXOP) ,! x = alog10(nu/nu0) of fit point
+ NOP(MMAXOP) ,! number of fit points for current level
+ NTOTOP ,! total number of levels in OP data
+ IDLVOP ,! level identifyer Opacity-Project data
+ LOPREA ! .T. OP data read in; .F. OP data not yer read in
CHARACTER*4 IONID
C
OPEN (UNIT=40,FILE='RBF.DAT',STATUS='OLD')
C Skip header
DO IREAD = 1, 21
READ (40,*)
END DO
IOP = 0
C = initialize sequential level index op Opacity Project data
C Read number of elements in file
READ (40,*) NEOP
DO IEOP = 1, NEOP
C Skip element name header
DO IREAD = 1, 3
READ (40,*)
END DO
C Read number of ionization stages of current element in file
READ (40,*) NIOP
DO IIOP = 1, NIOP
C Read ion identifyer, atomic & electron number, # of levels
C for current ion
READ (40,*) IONID, IATOM_OP, IELEC_OP, NLEVEL_OP
DO ILOP = 1, NLEVEL_OP
C Increase sequential level index of Opacity Project data
IOP = IOP+1
C Read level identifyer and number of sigma fit points
READ (40,*) IDLVOP(IOP), NOP(IOP)
C Read normalized log10 frequency and log10 cross section values
DO IS = 1, NOP(IOP)
READ (40,*) INDEX, XOP(IS,IOP), SOP(IS,IOP)
END DO
END DO
END DO
END DO
NTOTOP = IOP
C = total number of levels in Opacity Project data
LOPREA = .TRUE.
C = set flag as data has been read in
C
RETURN
END
C
C
C
C ******************************************************************
C
C
FUNCTION YLINTP (XINT,X,Y,N,NTOT)
C =================================
C
C linear interpolation routine. Determines YINT = Y(XINT) from
C grid Y(X) with N points and dimension NTOT.
C
INCLUDE 'PARAMS.FOR'
DIMENSION X(NTOT),Y(NTOT)
C
C bisection (see Numerical Recipes par 3.4 page 90)
JL = 0
JU = N+1
10 IF (JU-JL.GT.1) THEN
JM = (JU+JL)/2
IF ((X(N).GT.X(1)).EQV.(XINT.GT.X(JM))) THEN
JL = JM
ELSE
JU = JM
END IF
GO TO 10
END IF
J = JL
IF (J.EQ.N) J = J-1
IF (J.EQ.0) J = J+1
RC = (Y(J+1)-Y(J))/(X(J+1)-X(J))
YLINTP = RC*(XINT-X(J))+Y(J)
C
RETURN
END
C
C
C ****************************************************************
C
C
SUBROUTINE OPAC(ID,CROSS,ABSO,EMIS,SCAT)
C ========================================
C
C Absorption, emission, and scattering coefficients
C at depth ID and for several frequencies (some or all)
C
C Input: ID - depth index
C CROSS - two dimensional array of photoionization
C cross-sections
C Output: ABSO - array of absorption coefficient
C EMIS - array of emission coefficient
C SCAT - array of scattering coefficient (all scattering
C mechanisms except electron scattering)
C
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'LINDAT.FOR'
INCLUDE 'SYNTHP.FOR'
DIMENSION CROSS(MCROSS,MFRQ)
DIMENSION ABSO(MFREQ),EMIS(MFREQ),SCAT(MFREQ),
* ABLIN(MFREQ),EMLIN(MFREQ)
COMMON/BLAPAR/RELOP,SPACE0,CUTOF0,TSTD,DSTD,ALAMC
common/dissol/fropc(mlevel),indexp(mlevel)
PARAMETER (UN=1.,TEN15=1.E-15,CSB=2.0706E-16,CFF=3.694E8)
C
IF(IMODE.EQ.-1.AND.ID.NE.IDSTD) RETURN
T=TEMP(ID)
ANE=ELEC(ID)
T1=UN/T
HKT=HK*T1
TK=HKT/H
SRT=UN/SQRT(T)
SGFF=CFF*SRT
CON=CSB*T1*SRT
conts=1.e-36/con
ABLY=0.
EMLY=0.
SCLY=0.
sce=ane*sige
IJ0=2
IF(NFREQ.EQ.1) IJ0=1
IF(IMODE.EQ.2) IJ0=NFREQ
M=3
IF(ICONTL.EQ.1) M=1
C
C Opacity and emissivity in continuum
C **** calculated only in the first and the last frequency *****
C
DO 200 IJ=1,IJ0
FR=FREQ(IJ)
FR15=FR*TEN15
BNU=BN*FR15*FR15*FR15
HKF=HKT*FR
ABF=0.
EBF=0.
AFF=0.
DO 100 IL=1,NION
N0I=NFIRST(IL)
N1I=NLAST(IL)
NKE=NNEXT(IL)
XN=POPUL(NKE,ID)
C
C Bound-free contribution + possibly
c pseudo-continuum (accounting for dissolved fraction)
C
DO 10 II=N0I,N1I
SG=0.
IF(IFWOP(II).LT.0) THEN
SG=SGMERG(II,ID,FR)
ELSE
SG=CROSS(II,IJ)
IF(INDEXP(II).EQ.5) THEN
IZZ=IZ(IEL(II))
FR0=ENION(II)/6.6256E-27
CALL DWNFR1(FR,FR0,ID,IZZ,DW1)
SG=SG*DW1
END IF
END IF
if(sg.le.0.) go to 10
ABF=ABF+SG*POPUL(II,ID)
XX=SG*XN*EXP(ENION(II)*TK)*WOP(II,ID)
IF(XX.lt.conts) go to 10
EBF=EBF+XX*CON*G(II)/G(NKE)
10 CONTINUE
IT=IFREE(IL)
IF(IT.EQ.0) GO TO 100
C
C Free-free contribution
C
IE=IL
IF(IE.EQ.IELHM) GO TO 65
CH=IZ(IL)*IZ(IL)
SF1=CH*XN*SGFF/(FR*FR*FR)
C
C The following expression is the so-called modified free-free
C opacity, ie. allowing for the photoionization from higher,
C non-explicit, LTE energy levels of the ion IL
C
HKFM=HKT*MIN(FF(IL),FR)
SF2=EXP(HKFM)
IF(IT.NE.2) GO TO 50
SG=GFREE(T,FR/CH)
SF2=SF2+SG-UN
50 SFF=SF1*SF2
GO TO 70
65 SFF=SFFHMI(XN,FR,T)
70 AFF=AFF+SFF
100 CONTINUE
C
C Additional opacities
C
CALL OPADD(0,ID,FR,ABAD,EMAD,SCAD)
IF(IOPHLI.NE.0) CALL LYMLIN(ID,FR,ABLY,EMLY,SCLY)
C
C Total opacity and emissivity
C
X=EXP(-HKF)
X1=UN-X
BNE=BNU*X*ANE
c ABSO(IJ)=ABF+ANE*(X1*AFF-X*EBF)+ABAD+ABLY
ABSO(IJ)=ABF+ANE*(X1*AFF-X*EBF)+ABAD
EMIS(IJ)=BNE*(AFF+EBF)+EMAD+EMLY
SCAT(IJ)=SCAD+SCLY+sce
IF(IJ.EQ.1) THEN
ABLY1=ABLY
EMLY1=EMLY
SCLY1=SCLY
END IF
200 CONTINUE
AVAB=(ABSO(1)+ABSO(2)+SCAT(1)+SCAT(2))*0.5*RELOP
IF(NFREQ.LE.2.OR.IMODE.EQ.-1) RETURN
IF(IMODE.EQ.2) GO TO 225
C
C interpolated continuum opacity, emissivity, and scattering
C for all frequencies
C
DO IJ=3,NFREQ
ABSO(IJ)=FRX1(IJ)*ABSO(2)+FRX2(IJ)*ABSO(1)
EMIS(IJ)=FRX1(IJ)*EMIS(2)+FRX2(IJ)*EMIS(1)
SCAT(IJ)=FRX1(IJ)*SCAT(2)+FRX2(IJ)*SCAT(1)
END DO
C
C hydrogen lines -- for IHYL = 0
C *** calculated only for the first and the last frequency
C and interpolated hydrogen line opacity and emissivity
C for all frequencies
C
IF(IHYL.EQ.0) THEN
CALL HYDLIN(ID,1,2,ABLIN,EMLIN)
DO IJ=M,NFREQ
ABSO(IJ)=ABSO(IJ)+FRX1(IJ)*ABLIN(2)+FRX2(IJ)*ABLIN(1)
EMIS(IJ)=EMIS(IJ)+FRX1(IJ)*EMLIN(2)+FRX2(IJ)*EMLIN(1)
END DO
END IF
C
C **** Opacity and emissivity in lines ****
C
CALL LINOP(ID,ABLIN,EMLIN,AVAB)
DO IJ=3,NFREQ
ABSO(IJ)=ABSO(IJ)+ABLIN(IJ)
EMIS(IJ)=EMIS(IJ)+EMLIN(IJ)
END DO
C
C **** Opacity and emissivity in molecular lines ****
C
if(ifmol.gt.0) then
do ilist=1,nmlist
CALL MOLOP(ID,ABLIN,EMLIN,AVAB,ILIST)
DO IJ=3,NFREQ
ABSO(IJ)=ABSO(IJ)+ABLIN(IJ)
EMIS(IJ)=EMIS(IJ)+EMLIN(IJ)
END DO
end do
end if
225 CONTINUE
C
C **** Detailed opacity and emissivity in hydrogen lines ****
C (for IHYL=1)
C
IF(IHYL.GT.0.OR.IMODE.EQ.2) THEN
CALL HYDLIN(ID,M,NFREQ,ABLIN,EMLIN)
DO IJ=M,NFREQ
ABSO(IJ)=ABSO(IJ)+ABLIN(IJ)
EMIS(IJ)=EMIS(IJ)+EMLIN(IJ)
END DO
END IF
C
C **** Detailed opacity and emissivity in HE II lines ****
C (for IHE2L=1)
C
IF(IHE2L.GT.0) THEN
CALL HE2LIN(ID,M,NFREQ,ABLIN,EMLIN)
DO IJ=M,NFREQ
ABSO(IJ)=ABSO(IJ)+ABLIN(IJ)
EMIS(IJ)=EMIS(IJ)+EMLIN(IJ)
END DO
END IF
C
C opacity due to detailed photoinization cross-section
C (from tables; including resonance features)
C The two routines may be called and correspond to different formats
C as well as difference in INPUT!
C
CALL PHTION(ID,ABSO,EMIS,FREQ,NFREQ)
CALL PHTX(ID,ABSO,EMIS,FREQ,0)
C
if(imode.ge.0) then
do ij=1,nfreq
abso(ij)=abso(ij)+scat(ij)
end do
end if
C
IF(ICONTL.EQ.1) RETURN
ABSO(1)=ABSO(1)-ABLY1
EMIS(1)=EMIS(1)-EMLY1
SCAT(1)=SCAT(1)-SCLY1
ABSO(2)=ABSO(2)-ABLY
EMIS(2)=EMIS(2)-EMLY
SCAT(2)=SCAT(2)-SCLY
RETURN
END
C
C
C ****************************************************************
C
C
SUBROUTINE OPACW(ID,CROSS,ABSO,EMIS,
* ABSOC,EMISC,SCATC,MODC)
C ========================================
C
C Absorption, emission, and scattering coefficients
C at depth ID and for several frequencies (some or all)
C
C Input: ID - depth index
C CROSS - two dimensional array of photoionization
C cross-sections
C Output: ABSO - array of absorption coefficient
C EMIS - array of emission coefficient
C SCAT - array of scattering coefficient (all scattering
C mechanisms except electron scattering)
C
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'LINDAT.FOR'
INCLUDE 'SYNTHP.FOR'
INCLUDE 'WINCOM.FOR'
DIMENSION CROSS(MCROSS,MFRQ)
DIMENSION ABSO(MFREQ),EMIS(MFREQ),SCAT(MFREQ),
* ABSOC(MFREQC),EMISC(MFREQC),SCATC(MFREQC),
* ABLIN(MFREQ),EMLIN(MFREQ),
* ABL1(MFREQC),EML1(MFREQC),SCL1(MFREQC)
COMMON/BLAPAR/RELOP,SPACE0,CUTOF0,TSTD,DSTD,ALAMC
common/dissol/fropc(mlevel),indexp(mlevel)
common/lasers/lasdel
PARAMETER (UN=1.,TEN15=1.E-15,CSB=2.0706E-16,CFF=3.694E8)
C
IF(IMODE.EQ.-1.AND.ID.NE.IDSTD) RETURN
T=TEMP(ID)
ANE=ELEC(ID)
T1=UN/T
HKT=HK*T1
TK=HKT/H
SRT=UN/SQRT(T)
SGFF=CFF*SRT
CON=CSB*T1*SRT
conts=1.e-36/con
ABLY=0.
EMLY=0.
SCLY=0.
IJ0=2
IF(NFREQ.EQ.1) IJ0=1
IF(IMODE.EQ.2) IJ0=NFREQ
M=3
C
C Opacity and emissivity in continuum
C **** calculated only for the continuum frequencies *****
C
DO 200 IJ=1,NFREQC
FR=FREQC(IJ)
FR15=FR*TEN15
BNU=BN*FR15*FR15*FR15
HKF=HKT*FR
ABF=0.
EBF=0.
AFF=0.
DO 100 IL=1,NION
N0I=NFIRST(IL)
N1I=NLAST(IL)
NKE=NNEXT(IL)
XN=POPUL(NKE,ID)
C
C Bound-free contribution + possibly
c pseudo-continuum (accounting for dissolved fraction)
C
DO 10 II=N0I,N1I
SG=0.
IF(IFWOP(II).LT.0) THEN
SG=SGMERG(II,ID,FR)
ELSE
SG=CROSS(II,IJ)
IF(INDEXP(II).EQ.5) THEN
IZZ=IZ(IEL(II))
FR0=ENION(II)/6.6256E-27
CALL DWNFR1(FR,FR0,ID,IZZ,DW1)
SG=SG*DW1
END IF
END IF
ABF=ABF+SG*POPUL(II,ID)
XX=SG*XN*EXP(ENION(II)*TK)*WOP(II,ID)
IF(XX.lt.conts) go to 10
EBF=EBF+XX*CON*G(II)/G(NKE)
10 CONTINUE
IT=IFREE(IL)
IF(IT.EQ.0) GO TO 100
C
C Free-free contribution
C
IE=IL
IF(IE.EQ.IELHM) GO TO 65
CH=IZ(IL)*IZ(IL)
SF1=CH*XN*SGFF/(FR*FR*FR)
C
C The following expression is the so-called modified free-free
C opacity, ie. allowing for the photoionization from higher,
C non-explicit, LTE energy levels of the ion IL
C
HKFM=HKT*MIN(FF(IL),FR)
SF2=EXP(HKFM)
IF(IT.NE.2) GO TO 50
SG=GFREE(T,FR/CH)
SF2=SF2+SG-UN
50 SFF=SF1*SF2
GO TO 70
65 SFF=SFFHMI(XN,FR,T)
70 AFF=AFF+SFF
100 CONTINUE
C
C Additional opacities
C
CALL OPADD(0,ID,FR,ABAD,EMAD,SCAD)
IF(IOPHLI.NE.0) CALL LYMLIN(ID,FR,ABLY,EMLY,SCLY)
C
C Total opacity and emissivity
C
X=EXP(-HKF)
X1=UN-X
BNE=BNU*X*ANE
ABSOC(IJ)=ABF+ANE*(X1*AFF-X*EBF)+ANE*SIGE+ABAD+ABLY
EMISC(IJ)=BNE*(AFF+EBF)+EMAD+EMLY
SCATC(IJ)=SCAD+SCLY
ABL1(IJ)=ABLY
EML1(IJ)=EMLY
SCL1(IJ)=SCLY
200 CONTINUE
c
if(modc.eq.0) return
c
IF(NFREQ.LE.2.OR.IMODE.EQ.-1) RETURN
C
C interpolated continuum and hydrogen line opacity and emissivity
C for all frequencies
C
DO IJ=1,NFREQ
IJC=IJCINT(IJ)
ABSO(IJ)=FRX1(IJ)*ABSOC(IJC)+(1.-FRX1(IJ))*ABSOC(IJC+1)
EMIS(IJ)=FRX1(IJ)*EMISC(IJC)+(1.-FRX1(IJ))*EMISC(IJC+1)
SCAT(IJ)=FRX1(IJ)*SCATC(IJC)+(1.-FRX1(IJ))*SCATC(IJC+1)
END DO
IF(IMODE.EQ.2) GO TO 225
C
C **** Opacity and emissivity in lines ****
C
CALL LINOPW(ID,ABLIN,EMLIN)
DO IJ=1,NFREQ
ABSO(IJ)=ABSO(IJ)+ABLIN(IJ)
EMIS(IJ)=EMIS(IJ)+EMLIN(IJ)
END DO
C
C **** Opacity and emissivity in molecular lines ****
C
if(ifmol.gt.0) then
do ilist=1,nmlist
CALL MOLOP(ID,ABLIN,EMLIN,AVAB,ILIST)
DO IJ=1,NFREQ
ABSO(IJ)=ABSO(IJ)+ABLIN(IJ)
EMIS(IJ)=EMIS(IJ)+EMLIN(IJ)
END DO
end do
end if
225 CONTINUE
C
C **** Detailed opacity and emissivity in hydrogen lines ****
C
CALL HYDLIW(ID,ABLIN,EMLIN)
DO IJ=1,NFREQ
ABSO(IJ)=ABSO(IJ)+ABLIN(IJ)
EMIS(IJ)=EMIS(IJ)+EMLIN(IJ)
END DO
C
C **** Detailed opacity and emissivity in HE II lines ****
C (for IHE2L=1)
C
CALL HE2LIW(ID,ABLIN,EMLIN)
DO IJ=1,NFREQ
ABSO(IJ)=ABSO(IJ)+ABLIN(IJ)
EMIS(IJ)=EMIS(IJ)+EMLIN(IJ)
END DO
C
C opacity due to detailed photoinization cross-section
C (from tables; including resonance features)
C The two routines may be called and correspond to different formats
C as well as difference in INPUT!
C
CALL PHTION(ID,ABSO,EMIS,FREQ,NFREQ)
CALL PHTX(ID,ABSO,EMIS,FREQ,0)
C
IF(ICONTL.EQ.1) RETURN
DO IJ=1,NFREQC
ABSOC(IJ)=ABSOC(IJ)-ABL1(IJ)
EMISC(IJ)=EMISC(IJ)-EML1(IJ)
SCATC(IJ)=SCATC(IJ)-SCL1(IJ)
END DO
RETURN
END
C
C
C ********************************************************************
C
C
SUBROUTINE OPACON(ID,CROSS,ABSOC,EMISC,SCATC)
C ============================================
C
C Absorption, emission, and scattering coefficients
C at depth ID and for several frequencies (some or all)
C
C Input: ID - depth index
C CROSS - two dimensional array of photoionization
C cross-sections
C Output: ABSO - array of absorption coefficient
C EMIS - array of emission coefficient
C SCAT - array of scattering coefficient
C
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'LINDAT.FOR'
INCLUDE 'SYNTHP.FOR'
INCLUDE 'WINCOM.FOR'
DIMENSION CROSS(MCROSS,MFRQ)
DIMENSION ABSOC(MFREQC),EMISC(MFREQC),SCATC(MFREQC)
COMMON/BLAPAR/RELOP,SPACE0,CUTOF0,TSTD,DSTD,ALAMC
common/dissol/fropc(mlevel),indexp(mlevel)
PARAMETER (UN=1.,TEN15=1.E-15,CSB=2.0706E-16,CFF=3.694E8)
C
T=TEMP(ID)
ANE=ELEC(ID)
T1=UN/T
HKT=HK*T1
TK=HKT/H
SRT=UN/SQRT(T)
SGFF=CFF*SRT
CON=CSB*T1*SRT
ABLY=0.
EMLY=0.
SCLY=0.
sce=ane*sige
C
C Opacity and emissivity in continuum
C **** calculated only for the continuum frequencies *****
C
DO 200 IJ=1,NFREQC
FR=FREQC(IJ)
FR15=FR*TEN15
BNU=BN*FR15*FR15*FR15
HKF=HKT*FR
ABF=0.
EBF=0.
AFF=0.
DO 100 IL=1,NION
N0I=NFIRST(IL)
N1I=NLAST(IL)
NKE=NNEXT(IL)
XN=POPUL(NKE,ID)
C
C Bound-free contribution + possibly
c pseudo-continuum (accounting for dissolved fraction)
C
DO 10 II=N0I,N1I
SG=0.
IF(IFWOP(II).LT.0) THEN
SG=SGMERG(II,ID,FR)
ELSE
SG=CROSS(II,IJ)
if(sg.le.0.) go to 10
IF(INDEXP(II).EQ.5) THEN
IZZ=IZ(IEL(II))
FR0=ENION(II)/6.6256E-27
CALL DWNFR1(FR,FR0,ID,IZZ,DW1)
SG=SG*DW1
END IF
END IF
if(popul(ii,id).lt.1.e-20.or.xn.lt.1.e-20) go to 10
ABF=ABF+SG*POPUL(II,ID)
XX=SG*XN*EXP(ENION(II)*TK-hkf)*WOP(II,ID)
ee=exp(enion(ii)*tk-hkf)
EBF=EBF+XX*CON*G(II)/G(NKE)
c if(id.eq.1.or.id.eq.50) write(*,*)'opacon',id,ij,ii,
c * popul(ii,id),sg,abf
10 CONTINUE
IT=IFREE(IL)
IF(IT.EQ.0) GO TO 100
C
C Free-free contribution
C
IE=IL
IF(IE.EQ.IELHM) GO TO 65
CH=IZ(IL)*IZ(IL)
SF1=CH*XN*SGFF/(FR*FR*FR)
C
C The following expression is the so-called modified free-free
C opacity, ie. allowing for the photoionization from higher,
C non-explicit, LTE energy levels of the ion IL
C
IF(IT.NE.2) GO TO 50
SG=GFREE(T,FR/CH)
SF2=SF2+SG-UN
50 SFF=SF1
GO TO 70
65 SFF=SFFHMI(XN,FR,T)
70 AFF=AFF+SFF
100 CONTINUE
C
C Additional opacities
C
CALL OPADD(0,ID,FR,ABAD,EMAD,SCAD)
IF(IOPHLI.NE.0) CALL LYMLIN(ID,FR,ABLY,EMLY,SCLY)
C
C Total opacity and emissivity
C
X=EXP(-HKF)
X1=UN-X
BNE=BNU*X*ANE
ABSOC(IJ)=ABF+ANE*(X1*AFF-EBF)+ABAD+ABLY
EMISC(IJ)=BNE*AFF+BNU*ANE*EBF+EMAD+EMLY
SCATC(IJ)=SCAD+SCLY+sce
c if(id.eq.1.or.id.eq.50) write(*,*)'opacon-tot',id,ij,
c * abf,ane,absoc(ij)
200 CONTINUE
C
CALL PHTION(ID,ABSOC,EMISC,FREQC,NFREQC)
CALL PHTX(ID,ABSOC,EMISC,FREQC,1)
C
RETURN
END
C
C
C ********************************************************************
C
C
FUNCTION SGMERG(II,ID,FR)
C =========================
C formal routine - taken from TLUSTY, but not used here
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
PARAMETER (FRH=3.28805E15, PH2=2.815D29*2., EHB=157802.77355)
C
sgmerg=0.
c if(id.gt.0) return
IE=IEL(II)
CH=IZ(IE)*IZ(IE)
g(ii)=gmer(imrg(ii),id)
T1=1./TEMP(ID)
EX=EHB*CH*T1
II0=NQUANT(II-1)+1
SUM=0.
SUD=0.
DO 10 I=II0,NLMX
X=I
XI=1./(X*X)
FREDG=FRH*CH*XI
IF(FR.LT.FREDG) GO TO 10
EXI=EXP(EX*XI)
S=EXI*WNHINT(I,ID)*XI/X
SUM=SUM+S
c SUD=SUD+S*XI
10 CONTINUE
SG0=PH2/(FR*FR*FR*G(II))*CH*CH
SGMERG=SUM*SG0
c DSG=-SUD*SG0*EX*T1
RETURN
END
C
C
C ****************************************************************
C
FUNCTION GFREE(T,FR)
C ====================
C
C Hydrogenic free-free Gaunt factor, for temperature T and
C frequency FR
C
INCLUDE 'PARAMS.FOR'
THET=5040.4/T
IF(THET.LT.4.E-2) THET=4.E-2
X=FR/2.99793E14
IF(X.GT.1) GO TO 10
IF(X.LT.0.2) X=0.2
GFREE=(1.0823+2.98E-2/THET)+(6.7E-3+1.12E-2/THET)/X
RETURN
10 C1=(3.9999187E-3-7.8622889E-5/THET)/THET+1.070192
C2=(6.4628601E-2-6.1953813E-4/THET)/THET+2.6061249E-1
C3=(1.3983474E-5/THET+3.7542343E-2)/THET+5.7917786E-1
C4=3.4169006E-1+1.1852264E-2/THET
GFREE=((C4/X-C3)/X+C2)/X+C1
RETURN
END
C
C ********************************************************************
C ********************************************************************
C
FUNCTION SFFHMI_old(POPI,FR,T)
C ==========================
C
C Free-free cross section for H- (After Kurucz,1970,SAO 309, P.80)
C
INCLUDE 'PARAMS.FOR'
SFFHMI_old=(1.3727E-25+(4.3748E-10-2.5993E-7/T)/FR)*POPI/FR
RETURN
END
C
C
C ********************************************************************
C
C
SUBROUTINE LYMLIN(ID,FREQ,ABLY,EMLY,SCLY)
C =========================================
C
C OPACITY OF THE LYMAN LINES WINGS (ALPHA - DELTA)
C WITH APPROXIMATE PARTIAL REDISTRIBUTION
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
DIMENSION SN(4),SR(4),SS(4),GS(4),FRLY(4),BNLY(4),GA(4)
DATA FRLY / 2.4660375E15, 2.9227111E15, 3.0825469E15, 3.156528E15/
* ,BNLY / 5.527E-2, 4.090E-2, 2.699E-2, 1.855E-2 /,
* SN / 1.308E5, 5.280E3, 5.847E2, 1.078E2 /,
* SR / 1.218E-16, 9.196E-17, 1.058E-16, 1.296E-16 /,
* SS / 9.478E-3, 1.600E-2, 1.441E-2, 1.547E-2 /,
* GS / 7.237E-8, 5.432E-6, 5.821E-5, 4.027E-4 /,
* GA / 1.000, 1.791, 2.362, 2.801 /
C
data icomp/0/
if(iath.le.0) return
if(icomp.eq.0) then
icomp=1
read(4,*,err=10,end=10) ifstrk,ifnat,ifres,ifprd,ifsti
go to 11
10 continue
ifstrk=0
ifnat=1
ifres=1
ifprd=0
ifsti=0
if(iophli.lt.0) then
ifstrk=1
ifprd=1
end if
11 continue
end if
c
ABLY=0.
EMLY=0.
SCLY=0.
if(freq.gt.3.3e15) return
P=POPUL(N0HN,ID)
T=TEMP(ID)
ANE=ELEC(ID)
DO 40 I=1,4
DFR=ABS(FRLY(I)-FREQ)
IF(DFR.LE.5.E11) DFR=1.E12
DFR2=DFR*DFR
DFRS=SQRT(DFR)
COR=(2.*FREQ/(FREQ+FRLY(I)))**2
F=1.
IF(iabs(IOPHLI).EQ.2) F=FEAUTR(FREQ,ID)
STARK=SS(I)*ANE*F/DFR2/DFRS
if(ifstrk.eq.0) stark=0.
if(ifnat.eq.0) sn(i)=0.
if(ifres.eq.0) sr(i)=0.
SGLY=SN(I)*(1.+SR(I)*P)*COR/DFR2+STARK
sgly=sgly*wnhint(i+1,id)
GAMA=1./(GA(I)+GS(I)*ANE*F/DFRS)
if(ifprd.eq.0) gama=0.
ABLY=ABLY+P*SGLY
EMLY=EMLY+POPUL(N0HN+I,ID)*SGLY*BNLY(I)*(1.-GAMA)
if(ifsti.ne.0) ably=ably-popul(n0hn+i,id)*sgly/(i+1)/(i+1)
SCLY=SCLY+P*SGLY*GAMA
40 CONTINUE
RETURN
END
C
C ********************************************************************
C
FUNCTION FEAUTR(FREQ,ID)
C ========================
C
C LYMAN-ALPHA STARK BROADENING AFTER N.FEAUTRIER
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
DIMENSION DL(20),F05(20),F10(20),F20(20),F40(20),X(4)
DATA F05 / 0.0537, 0.0964, 0.1330, 0.3105, 0.4585, 0.6772, 0.8229,
* 0.8556, 0.9250, 0.9618, 0.9733, 1.1076, 1.0644, 1.0525,
* 0.8841, 0.8282, 0.7541, 0.7091, 0.7164, 0.7672/
DATA F10 / 0.1986, 0.2764, 0.3959, 0.5740, 0.7385, 0.9448, 1.0292,
* 1.0317, 0.9947, 0.8679, 0.8648, 0.9815, 1.0660, 1.0793,
* 1.0699, 1.0357, 0.9245, 0.8603, 0.8195, 0.7928/
DATA F20 / 0.4843, 0.5821, 0.7003, 0.8411, 0.9405, 1.0300, 1.0029,
* 0.9753, 0.8478, 0.6851, 0.6861, 0.8554, 0.9916, 1.0264,
* 1.0592, 1.0817, 1.0575, 1.0152, 0.9761, 0.9451/
DATA F40 / 0.7862, 0.8566, 0.9290, 0.9915, 1.0066, 0.9878, 0.8983,
* 0.8513, 0.6881, 0.5277, 0.5302, 0.6920, 0.8607, 0.9111,
* 0.9651, 1.0793, 1.1108, 1.1156, 1.1003, 1.0839/
DATA DL / -150., -120., -90., -60., -40., -20., -10., -8., -4.,
* -2., 2., 4., 8., 10., 20., 40., 60., 90., 120., 150./
DLAM=2.997925E18/FREQ-1215.685
DO 10 I=2,20
IF(DLAM.LE.DL(I)) GO TO 20
10 CONTINUE
I=20
20 J=I-1
C=DL(J)-DL(I)
A=(DLAM-DL(I))/C
B=(DL(J)-DLAM)/C
X(1)=F05(J)*A+F05(I)*B
X(2)=F10(J)*A+F10(I)*B
X(3)=F20(J)*A+F20(I)*B
X(4)=F40(J)*A+F40(I)*B
J=JT(ID)
Y=TI0(ID)*X(J)+TI1(ID)*X(J-1)+TI2(ID)*X(J-2)
FEAUTR=0.5*(Y+1.)
RETURN
END
C
C ********************************************************************
C
SUBROUTINE HYLSET
C =================
C
C Initialization procedure for treating the hydrogen line opacity
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'SYNTHP.FOR'
DIMENSION ALB(15)
DATA ALB /656.28,486.13,434.05,410.17,397.01,
* 388.91,383.54,379.79,377.06,375.02,
* 373.44,372.19,371.20,370.39,369.72/
C
C IHYL=-1 - hydrogen lines are excluded a priori
C
IHYL=-1
if(iath.le.0) return
IF(FREQ(2).GE.3.28805E15) RETURN
AL0=2.997925E17/FREQ(1)
AL1=2.997925E17/FREQ(2)
IF(AL0.GT.200..AND.AL1.LT.364.6) RETURN
IF(AL0.GT.560..AND.AL1.LT.580.) RETURN
IF(AL0.GT.720..AND.AL1.LT.820.3) RETURN
C
C otherwise, hydrogen lines are included
C
IHYL=0
M20=40
IF(AL1.LT.364.6) THEN
ILOWH=1
FRION=3.28805E15
M10=int(SQRT(3.28805E15/ABS(FRION-FREQ(2))))
IF(FRION.GT.FREQ(1)) M20=int(SQRT(3.28805E15/(FRION-FREQ(1))))
IHYL=1
IF(AL0.GT.123.) IHYL=0
IF(AL0.GT.104..AND.AL1.LT.120.) IHYL=0
IF(AL0.GT.98.5.AND.AL1.LT.102.) IHYL=0
IF(IMODE.EQ.2.OR.IHYDPR.NE.0.OR.GRAV.GE.6.) IHYL=1
ELSE IF(AL1.LT.820.) THEN
ILOWH=2
if(vaclim.lt.3600.) then
FRION=8.2225E14
M10=int(SQRT(3.289017E15/ABS(FRION-FREQ(2))))
else
FRION=8.22013E14
M10=int(SQRT(3.28805E15/ABS(FRION-FREQ(2))))
end if
IF(FRION.GT.FREQ(1)) M20=int(SQRT(3.289017E15/(FRION-FREQ(1))))
DO 10 I=1,15
AL=ALB(I)
IF(AL.LT.AL0-1..OR.AL.GT.AL1+1.) GO TO 10
IHYL=1
GO TO 20
10 CONTINUE
20 CONTINUE
IF(IMODE.EQ.2.OR.IHYDPR.NE.0.OR.GRAV.GE.6.) IHYL=1
ELSE
ILOWH=3
IHYL=1
END IF
c
ihyl=1
c
RETURN
END
C
C ********************************************************************
C
SUBROUTINE HYLSEW(IJ)
C =====================
C
C Initialization procedure for treating the hydrogen line opacity
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'SYNTHP.FOR'
C
C IHYL=-1 - hydrogen lines are excluded a priori
C
IHYLW(IJ)=0
if(iath.le.0) return
FR=FREQ(IJ)
IF(FR.GE.3.28805E15) RETURN
AL0=2.997925E17/FR
AL1=AL0
IF(grav.lt.6.) then
IF(AL0.GT.160..AND.AL1.LT.364.6) RETURN
IF(AL0.GT.506..AND.AL1.LT.630.) RETURN
IF(AL0.GT.680..AND.AL1.LT.820.3) RETURN
else
IF(AL0.GT.540..AND.AL1.LT.600.) RETURN
IF(AL0.GT.720..AND.AL1.LT.820.3) RETURN
end if
C
C otherwise, hydrogen lines are included
C
IHYLW(IJ)=1
M20W(IJ)=40
IF(AL1.LT.364.6) THEN
ILOWHW(IJ)=1
FRION=3.28805E15
ELSE IF(AL1.LT.820.) THEN
ILOWHW(IJ)=2
FRION=8.2225E14
ELSE IF(AL1.LT.1458.) THEN
ILOWHW(IJ)=3
FRION=3.6544142E14
ELSE IF(AL1.LT.2278.) THEN
ILOWHW(IJ)=4
FRION=2.0555837E14
ELSE IF(AL1.LT.3281.) THEN
ILOWHW(IJ)=5
FRION=1.315589E14
ELSE IF(AL1.LT.4466.) THEN
ILOWHW(IJ)=6
FRION=9.136394E13
ELSE
ILOWHW(IJ)=7
FRION=6.7120228E13
END IF
IF(FRION.GT.FR) M10W(IJ)=int(SQRT(3.289017E15/ABS(FRION-FR)))
c WRITE(6,601) ILOWH,M20+1
c 601 FORMAT(1H0/ ' *** HYDROGEN LINES CONTRIBUTE'/
c * ' THE NEAREST LINE ON THE SHORT-WAVELENGTH SIDE IS',
c * I3,' TO ',I3/)
RETURN
END
C
C ********************************************************************
C
SUBROUTINE HYDLIN(ID,I0,I1,ABSOH,EMISH)
C =======================================
C
C opacity and emissivity of hydrogen lines
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
PARAMETER (FRH1=3.28805E15,FRH2=FRH1/4.,UN=1.,SIXTH=1./6.)
PARAMETER (CPP=4.1412E-16,CPJ=157803.)
PARAMETER (C00=1.25E-9,CDOP=1.284523E12,CID=0.02654,TWO=2.)
PARAMETER (CPJ4=CPJ/4.,AL10=2.3025851,CINV=UN/2.997925E18)
PARAMETER (CID1=0.01497)
common/quasun/nunalp,nunbet,nungam,nunbal
common/hhebrd/sthe,nunhhe
common/gompar/hglim,ihgom
DIMENSION PJ(40),PRF0(54),OSCH(4,22),
* ABSO(MFREQ),EMIS(MFREQ),ABSOH(MFREQ),EMISH(MFREQ)
dimension wlir(15),irlow(15),irupp(15)
DATA FRH /3.289017E15/
data wlir/
* 123680., 75005., 59066., 51273.,190570.,113060.,
* 87577., 75061.,277960.,162050.,123840.,105010.,
* 223340.,168760.,141790./
data irlow/4*6, 4*7, 4*8, 3*9/
data irupp/7,8,9,10,8,9,10,11,9,10,11,12,11,12,13/
data nlinir/15/
c
DATA INIT /0/
C
DO IJ=I0,I1
ABSOH(IJ)=0.
EMISH(IJ)=0.
END DO
c
if(iath.le.0.or.rrr(1,1,1).eq.0.) return
izz=1
C
IF(INIT.EQ.0) THEN
DO I=1,4
DO J=I+1,22
CALL STARK0(I,J,IZZ,XK,WL0,FIJ,FIJ0)
WLINE(I,J)=WL0
OSCH(I,J)=FIJ+FIJ0
END DO
END DO
INIT=1
END IF
DO IJ=I0,I1
ABSO(IJ)=0.
EMIS(IJ)=0.
END DO
c
if(ilowh.le.0) return
c
T=TEMP(ID)
T1=UN/T
SQT=SQRT(T)
ANE=ELEC(ID)
ANES=EXP(SIXTH*LOG(ANE))
TL=LOG10(T)
ANEL=LOG10(ANE)
C
C populations of the first 40 levels of hydrogen
C
ANP=POPUL(NKH,ID)
PP=CPP*ANE*ANP*T1/SQT
NLH=N1H-N0HN+1
c if(ifwop(n1h).lt.0) nlh=nlh-1
nlh=nlh-1
DO IL=1,50
X=IL*IL
IF(IL.LE.NLH) PJ(IL)=POPUL(N0HN+IL-1,ID)
IF(IL.GT.NLH) PJ(IL)=PP*EXP(CPJ/X*T1)*X*wnhint(il,id)
END DO
p2=pp*exp(cpj4*t1)*4.*wnhint(2,id)
c
C Frequency- and line-independent parameters for evaluating the
C asymptotic Stark profile
C
F00=C00*ANES*ANES*ANES*ANES
DOP0=1.E8*SQRT(1.65E8*T+VTURB(ID))
C
C -------------------------------------------------------------------
C overall loop over spectral series (only in the infrared region)
C -------------------------------------------------------------------
C
ISERL=ILOWH
ISERU=ILOWH
c
if(wlam(i0).gt.14000.) iseru=4
if(wlam(i0).gt.22700.) iseru=5
if(wlam(i0).gt.32800.) iseru=6
if(wlam(i0).gt.44660.) iseru=7
if(wlam(i0).gt.60000.) iserl=4
c
if(iserl.eq.3.and.iseru.eq.3.and.nunbal.gt.0) iserl=2
DO IJ=I0,I1
ABSO(IJ)=0.
EMIS(IJ)=0.
END DO
C
c ========================
c loop over spectral series
c ========================
c
DO I=ISERL,ISERU
c
c skip the following calculations if one uses the Gomez tables
c
if(ihgom.gt.0.and.elec(id).gt.hglim) then
if(i.ge.1.and.i.le.ihgom) then
call ghydop(id,i0,i1,pj,absoh,emish)
go to 200
end if
end if
c
II=I*I
XII=UN/II
POPI=PJ(I)
IF(I.EQ.1) FRH=3.28805E15
C
C determination of which hydrogen lines contribute in a current
C frequency region
C
M1=M10
IF(I.LT.ILOWH) M1=ILOWH-1
M2=M1+1
M1=M1-1
M2=M20+3
IF(M1.LT.I+1) M1=I+1
if(grav.gt.3.) then
m2=m2+5
m1=m1-3
if(m1.gt.i+6) m1=m1-3
end if
c new!
if(i.ge.3) then
m1=i+1
m2=i+40
end if
if(i.ge.4) m2=i+20
if(i.ge.6) m2=i+10
C
C loop over lines which contribute at given wavelength region
C
m1=min(m1,40)
m2=min(m2,40)
m1=max(m1,i+1)
m2=max(m2,i+2)
DO J=M1,M2
ILINE=0
JJ=J*J
XJJ=UN/JJ
ABTRA=PJ(I)*WNHINT(J,ID)
EMTRA=PJ(J)*WNHINT(I,ID)*II*XJJ*EXP(CPJ*(XII-XJJ)*T1)
if(i.le.2.and.j.le.i+2) then
abtra=pj(i)
emtra=pj(j)*wnhint(i,id)/wnhint(j,id)*
* ii*xjj*exp(cpj*(xii-xjj)*t1)
end if
IF(I.LE.4.AND.J.LE.22) ILINE=ILIN0(I,J)
c
c quasi-molecular opacity for Lyman-alpha and beta satellites
c
lquasi=i.eq.1.and.j.eq.2.and.nunalp.gt.0
lquasi=lquasi.or.i.eq.1.and.j.eq.3.and.nunbet.gt.0
lquasi=lquasi.or.i.eq.1.and.j.eq.4.and.nungam.gt.0
lquasi=lquasi.or.i.eq.2.and.j.eq.3.and.nunbal.gt.0
lalhhe=i.eq.1.and.j.eq.2.and.nunhhe.gt.0
if(lquasi) then
DO IJ=I0,I1
call allard(wlam(ij),popi,anp,sg,i,j)
ABSO(IJ)=ABSO(IJ)+SG*ABTRA
EMIS(IJ)=EMIS(IJ)+SG*EMTRA
END DO
end if
ahe=0.
if(iathe.gt.0) ahe=popul(n0a(iathe),id)
if(lalhhe.and.ahe.gt.0.) then
rel=1./6.2831855
do ij=i0,i1
call lyahhe(wlam(ij),ahe,sg0)
sg=sg0*rel
abso(ij)=abso(ij)+sg*abtra
emis(ij)=emis(ij)+sg*emtra
end do
end if
c
c lines with special Stark broadening tables
c
IF(ILINE.GT.0) THEN
FID=CID*OSCH(I,J)
c
c switch to either original Lemke/Tremblay of Xenomorph
c
if(ilxen(i,j).eq.0.or.anel.lt.xnemin) then
c
c original Lemke/Tremblay
c
NWL=NWLHYD(ILINE)
DO IWL=1,NWL
PRF0(IWL)=PRFHYD(ILINE,ID,IWL)
END DO
DO IJ=I0,I1
AL=ABS(WLAM(IJ)-WLINE(I,J))
IF(AL.LT.1.E-4) AL=1.E-4
IF(ILEMKE.EQ.1) AL=AL/F00
AL=LOG10(AL)
DO 30 IWL=1,NWL-1
IW0=IWL
IF(AL.LE.WLHYD(ILINE,IWL+1)) GO TO 40
30 CONTINUE
40 IW1=IW0+1
PRFF=(PRF0(IW0)*(WLHYD(ILINE,IW1)-AL)+PRF0(IW1)*
* (AL-WLHYD(ILINE,IW0)))/
* (WLHYD(ILINE,IW1)-WLHYD(ILINE,IW0))
SG=EXP(PRFF*AL10)*FID
sg0=EXP(PRFF*AL10)
IF(ILEMKE.EQ.1) SG=SG*WLINE(I,J)**2*CINV/F00
ABSO(IJ)=ABSO(IJ)+SG*ABTRA
EMIS(IJ)=EMIS(IJ)+SG*EMTRA
END DO
c
c XENOMORPH data for selected lines
c
else
ixn=ilxen(i,j)
nwl=nwlxen(ixn)
fr0l=2.997925e18/wline(i,j)
do ij=i0,i1
al=(freq(ij)-fr0l)/f00
if(abs(al).lt.1.e-4) al=1.e-4
all=log10(abs(al))
do 51 iwl=1,nwl-1
iw0=iwl
if(all.le.alxen(ixn,iwl+1)) go to 52
51 continue
52 iw1=iw0+1
if(al.gt.0.) then
prff=(prfb(ixn,id,iw0)*(alxen(ixn,iw1)-all)+
* prfb(ixn,id,iw1)*(all-alxen(ixn,iw0)))/
* (alxen(ixn,iw1)-alxen(ixn,iw0))
else
prff=(prfr(ixn,id,iw0)*(alxen(ixn,iw1)-all)+
* prfr(ixn,id,iw1)*(all-alxen(ixn,iw0)))/
* (alxen(ixn,iw1)-alxen(ixn,iw0))
end if
sg=exp(prff*al10)*fid/f00
ABSO(IJ)=ABSO(IJ)+SG*ABTRA
EMIS(IJ)=EMIS(IJ)+SG*EMTRA
end do
END IF
c
c lines without special Stark broadening tables
c
ELSE
CALL STARK0(I,J,izz,XKIJ,WL0,FIJ,FIJ0)
if((wl0.le.wlam(i1).and.1.25*wl0.gt.wlam(i0)). or.
* (wl0.ge.wlam(i0).and.0.75*wl0.lt.wlam(i1))) then
FXK=F00*XKIJ
FXK1=UN/FXK
DOP=DOP0/WL0
DBETA=WL0*WL0*CINV*FXK1
BETAD=DOP*DBETA
FID=CID*FIJ*DBETA
c FID0=CID1*FIJ0/DOP
CALL DIVSTR(AD,DIV)
fac=two
if(lquasi) fac=un
DO IJ=I0,I1
fr=freq(ij)
BETA=ABS(WLAM(IJ)-WL0)*FXK1
IF(I.LT.5) THEN
SG=STARKA(BETA,AD,DIV,fac)*FID
if(iophli.eq.2.and.i.eq.1.and.j.eq.2)
* sg=sg*feautr(fr,id)
ELSE
SG=STARKIR(II,JJ,T,ANE,BETA)*FID
END IF
ABSO(IJ)=ABSO(IJ)+SG*ABTRA
EMIS(IJ)=EMIS(IJ)+SG*EMTRA
END DO
END IF
END IF
END DO
END DO
C
C far infrared hydrogen lines
C
if(wlam(i1).gt.70000.) then
DO I=8,13
II=I*I
XII=UN/II
DO J=I+1,I+4
JJ=J*J
XJJ=UN/JJ
CALL STARK0(I,J,izz,XKIJ,WL0,FIJ,FIJ0)
if((wl0.le.wlam(i1).and.1.5*wl0.gt.wlam(i0)). or.
* (wl0.ge.wlam(i0).and.0.5*wl0.lt.wlam(i1))) then
FXK=F00*XKIJ
FXK1=UN/FXK
DOP=DOP0/WL0
DBETA=WL0*WL0*CINV*FXK1
BETAD=DOP*DBETA
FID=CID*FIJ*DBETA
CALL DIVSTR(AD,DIV)
fac=two
DO IJ=I0,I1
fr=freq(ij)
BETA=ABS(WLAM(IJ)-WL0)*FXK1
SG=STARKIR(II,JJ,T,ANE,BETA)*FID
ABSO(IJ)=ABSO(IJ)+SG*ABTRA
EMIS(IJ)=EMIS(IJ)+SG*EMTRA
END DO
END IF
END DO
END DO
END IF
200 continue
c
if(wlam(i1).gt.5.e5) then
do ij=i0,i1
fr=freq(ij)
do ilir=1,nlinir
if(wlam(ij).gt.wlir(ilir)*0.95.and.
* wlam(ij).lt.wlir(ilir)*1.05) then
j=irupp(ilir)
JJ=J*J
i=irlow(ilir)
II=I*I
XII=UN/II
XJJ=UN/JJ
ABTRA=PJ(I)*WNHINT(J,ID)
EMTRA=PJ(J)*WNHINT(I,ID)*II*XJJ*EXP(CPJ*(XII-XJJ)*T1)
CALL STARK0(I,J,izz,XKIJ,WL0,FIJ,FIJ0)
FXK=F00*XKIJ
FXK1=UN/FXK
DOP=DOP0/WL0
DBETA=WL0*WL0*CINV*FXK1
BETAD=DOP*DBETA
FID=CID*FIJ*DBETA
CALL DIVSTR(AD,DIV)
fac=two
BETA=ABS(WLAM(IJ)-WL0)*FXK1
SG=STARKA(BETA,AD,DIV,fac)*FID
ABSO(IJ)=ABSO(IJ)+SG*ABTRA
EMIS(IJ)=EMIS(IJ)+SG*EMTRA
end if
end do
end do
end if
C
C ----------------------------
C total opacity and emissivity
C ----------------------------
C
DO IJ=I0,I1
F=FREQ(IJ)
F15=F*1.E-15
XKF=EXP(-4.79928e-11*F*T1)
XKFB=XKF*1.4743E-2*F15*F15*F15
ABSOH(IJ)=ABSO(IJ)-XKF*EMIS(IJ)
EMISH(IJ)=XKFB*EMIS(IJ)
END DO
RETURN
END
C
C
C ********************************************************************
C
SUBROUTINE HYDLIW(ID,ABSOH,EMISH)
C =================================
C
C opacity and emissivity of hydrogen lines
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
INCLUDE 'WINCOM.FOR'
PARAMETER (FRH1=3.28805E15,FRH2=FRH1/4.,UN=1.,SIXTH=1./6.)
PARAMETER (CPP=4.1412E-16,CPJ=157803.)
PARAMETER (C00=1.25E-9,CDOP=1.284523E12,CID=0.02654,TWO=2.)
PARAMETER (CPJ4=CPJ/4.,AL10=2.3025851,CINV=UN/2.997925E18)
PARAMETER (CID1=0.01497)
common/lasers/lasdel
common/quasun/nunalp,nunbet,nungam,nunbal
DIMENSION PJ(40),PRF0(54),OSCH(4,22),
* ABSO(MFREQ),EMIS(MFREQ),ABSOH(MFREQ),EMISH(MFREQ)
DATA FRH /3.289017E15/
DATA INIT /0/
C
if(iath.le.0) return
izz=1
C
IF(INIT.EQ.0) THEN
DO I=1,4
DO J=I+1,22
CALL STARK0(I,J,IZZ,XK,WL0,FIJ,FIJ0)
WLINE(I,J)=WL0
OSCH(I,J)=FIJ+FIJ0
END DO
END DO
INIT=1
END IF
DO IJ=1,NFREQ
ABSO(IJ)=0.
EMIS(IJ)=0.
ABSOH(IJ)=0.
EMISH(IJ)=0.
END DO
T=TEMP(ID)
T1=UN/T
SQT=SQRT(T)
ANE=ELEC(ID)
ANES=EXP(SIXTH*LOG(ANE))
C
C populations of the first 40 levels of hydrogen
C
ANP=POPUL(NKH,ID)
PP=CPP*ANE*ANP*T1/SQT
NLH=N1H-N0HN+1
if(ifwop(n1h).lt.0) nlh=nlh-1
DO 5 IL=1,40
X=IL*IL
IF(IL.LE.NLH) PJ(IL)=POPUL(N0HN+IL-1,ID)
IF(IL.GT.NLH) PJ(IL)=PP*EXP(CPJ/X*T1)*X*wnhint(il,id)
5 CONTINUE
p2=pp*exp(cpj4*t1)*4.*wnhint(2,id)
C
C Frequency- and line-independent parameters for evaluating the
C asymptotic Stark profile
C
F00=C00*ANES*ANES*ANES*ANES
DOP0=1.E8*SQRT(1.65E8*T+VTURB(ID))
C
C -------------------------------------------------------------------
C overall loop over spectral series (only in the infrared region)
C -------------------------------------------------------------------
C
DO 300 IJ=1,NFREQ
IF(IHYLW(IJ).LE.0) GO TO 300
ISERL=ILOWHW(IJ)
ISERU=ILOWHW(IJ)
IF(WLAM(IJ).GT.17000..AND.WLAM(IJ).LE.21000.) THEN
ISERL=3
ISERU=4
ELSE IF(WLAM(IJ).GT.22700..AND.WLAM(IJ).LE.29000.) THEN
ISERL=4
ISERU=5
ELSE IF(WLAM(IJ).GT.32800..AND.WLAM(IJ).LE.37000.) THEN
ISERL=5
ISERU=6
ELSE IF(WLAM(IJ).GT.37000..AND.WLAM(IJ).LE.44600.) THEN
ISERL=4
ISERU=6
ELSE IF(WLAM(IJ).GT.44660..AND.WLAM(IJ).LE.58300.) THEN
ISERL=5
ISERU=7
ELSE IF(WLAM(IJ).GT.58300..AND.WLAM(IJ).LE.72000.) THEN
ISERL=6
ISERU=8
ELSE IF(WLAM(IJ).GT.72000..AND.WLAM(IJ).LE.73800.) THEN
ISERL=5
ISERU=8
ELSE IF(WLAM(IJ).GT.73800..AND.WLAM(IJ).LE.77000.) THEN
ISERL=5
ISERU=9
ELSE IF(WLAM(IJ).GT.77000.) THEN
ISERL=6
ISERU=9
END IF
C
if(iserl.eq.3.and.iseru.eq.3.and.nunbal.gt.0) iserl=2
C
ABSO(IJ)=0.
EMIS(IJ)=0.
DO 200 I=ISERL,ISERU
II=I*I
XII=UN/II
PLTEI=PP*EXP(CPJ*T1*XII)*II
POPI=PJ(I)
IF(I.EQ.1) FRH=3.28805E15
C
C determination of which hydrogen lines contribute in a current
C frequency region
C
M1=M10W(IJ)
IF(I.LT.ILOWHW(IJ)) M1=ILOWHW(IJ)-1
M2=M1+1
IF(M1.LT.I+1) M1=I+1
IF(grav.lt.3..and.M1.LE.16.AND.I.EQ.7) GO TO 10
IF(grav.lt.3..and.M1.LE.14.AND.I.EQ.6) GO TO 10
IF(grav.lt.3..and.M1.LE.12.AND.I.EQ.5) GO TO 10
IF(grav.lt.3..and.M1.LE.10.AND.I.EQ.4) GO TO 10
IF(grav.lt.3..and.M1.LE.8.AND.I.EQ.3) GO TO 10
IF(grav.lt.3..and.M1.LE.6.AND.I.EQ.2) GO TO 10
IF(grav.lt.3..and.M1.LE.4.AND.I.EQ.1) GO TO 10
M1=M1-1
M2=M20W(IJ)+3
IF(M1.LT.I+1) M1=I+1
10 CONTINUE
if(grav.gt.3.) then
m2=m2+5
m1=m1-3
if(m1.gt.i+6) m1=m1-3
end if
if(grav.gt.6.) then
m2=m2+2
m1=m1-1
if(m1.gt.i+6) m1=m1-1
end if
IF(M1.LT.I+1) M1=I+1
c if(m2.gt.30) then
c m2=m20W(IJ)+8
c m1=m1-4
c end if
IF(M2.GT.40) M2=40
c if(id.eq.1) write(6,666) i,m1,m2
c 666 format(/' hydrogen lines contribute - ilow=',i2,', iup from ',i3,
c * ' to',i3/)
C
A=0.
E=0.
C
C loop over lines which contribute at given wavelength region
C
DO 100 J=M1,M2
IF(I.EQ.1.AND.J.LE.5.AND.IOPHLI.LT.0) GO TO 100
ILINE=0
JJ=J*J
XJJ=UN/JJ
ABTRA=PJ(I)*WNHINT(J,ID)
EMTRA=PJ(J)*WNHINT(I,ID)*II*XJJ*EXP(CPJ*(XII-XJJ)*T1)
if(i.le.2.and.j.le.i+2) then
abtra=pj(i)
emtra=pj(j)*wnhint(i,id)/wnhint(j,id)*
* ii*xjj*exp(cpj*(xii-xjj)*t1)
end if
IF(I.LE.4.AND.J.LE.22) ILINE=ILIN0(I,J)
c
c quasi-molecular opacity for Lyman-alpha and beta satellites
c
lquasi=i.eq.1.and.j.eq.2.and.nunalp.gt.0
lquasi=lquasi.or.i.eq.1.and.j.eq.3.and.nunbet.gt.0
lquasi=lquasi.or.i.eq.1.and.j.eq.4.and.nungam.gt.0
lquasi=lquasi.or.i.eq.2.and.j.eq.3.and.nunbal.gt.0
if(lquasi) then
CALL STARK0(I,J,izz,XKIJ,WL0,FIJ,FIJ0)
FXK=F00*XKIJ
FXK1=UN/FXK
DOP=DOP0/WL0
DBETA=WL0*WL0*CINV*FXK1
BETAD=DOP*DBETA
FID=CID*FIJ*DBETA
CALL DIVSTR(AD,DIV)
fr=freq(ij)
BETA=ABS(WLAM(IJ)-WL0)*FXK1
call allard(wlam(ij),popi,anp,sg,i,j)
sg=sg+STARKA(BETA,AD,DIV,UN)*FID
ABSO(IJ)=ABSO(IJ)+SG*ABTRA
EMIS(IJ)=EMIS(IJ)+SG*EMTRA
go to 100
end if
c
c lines with special Stark broadening tables
c
IF(ILINE.GT.0) THEN
NWL=NWLHYD(ILINE)
DO IWL=1,NWL
PRF0(IWL)=PRFHYD(ILINE,ID,IWL)
END DO
FID=CID*OSCH(I,J)
AL=ABS(WLAM(IJ)-WLINE(I,J))
IF(AL.LT.1.E-4) AL=1.E-4
IF(ILEMKE.EQ.1) AL=AL/F00
AL=LOG10(AL)
DO 30 IWL=1,NWL-1
IW0=IWL
IF(AL.LE.WLHYD(ILINE,IWL+1)) GO TO 40
30 CONTINUE
40 IW1=IW0+1
PRFF=(PRF0(IW0)*(WLHYD(ILINE,IW1)-AL)+PRF0(IW1)*
* (AL-WLHYD(ILINE,IW0)))/
* (WLHYD(ILINE,IW1)-WLHYD(ILINE,IW0))
SG=EXP(PRFF*AL10)*FID
IF(ILEMKE.EQ.1) SG=SG*WLINE(I,J)**2*CINV/F00
ABSO(IJ)=ABSO(IJ)+SG*ABTRA
EMIS(IJ)=EMIS(IJ)+SG*EMTRA
c
c lines without special Stark broadening tables
c
ELSE
CALL STARK0(I,J,izz,XKIJ,WL0,FIJ,FIJ0)
FXK=F00*XKIJ
FXK1=UN/FXK
DOP=DOP0/WL0
DBETA=WL0*WL0*CINV*FXK1
BETAD=DOP*DBETA
FID=CID*FIJ*DBETA
CALL DIVSTR(AD,DIV)
fr=freq(ij)
BETA=ABS(WLAM(IJ)-WL0)*FXK1
SG=STARKA(BETA,AD,DIV,TWO)*FID
if(iophli.eq.2.and.i.eq.1.and.j.eq.2)
* sg=sg*feautr(fr,id)
ABSO(IJ)=ABSO(IJ)+SG*ABTRA
EMIS(IJ)=EMIS(IJ)+SG*EMTRA
END IF
100 CONTINUE
200 CONTINUE
C
C ----------------------------
C total opacity and emissivity
C ----------------------------
C
F=FREQ(IJ)
F15=F*1.E-15
XKF=EXP(-4.79928e-11*F*T1)
XKFB=XKF*1.4743E-2*F15*F15*F15
if(abso(ij).le.0. .and. lasdel) then
abso(ij)=0.
emis(ij)=0.
endif
ABSOH(IJ)=ABSO(IJ)-XKF*EMIS(IJ)
EMISH(IJ)=XKFB*EMIS(IJ)
300 CONTINUE
RETURN
END
C
C
C ********************************************************************
C
C
SUBROUTINE HE2SET
C =================
C
C Initialization procedure for treating the He II line opacity
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'SYNTHP.FOR'
dimension frhe(12)
DATA FRHE /1.3158153D+16, 3.2895381D+15, 1.4624854D+15,
* 8.2261878D+14, 5.2647201D+14, 3.6560459D+14,
* 2.6860713D+14, 2.0565220D+14, 1.6249055D+14,
* 1.3161730D+14, 1.0877460D+14, 9.1400851D+13/
C
C IHE2L=-1 - He II lines are excluded a priori
C
IHE2L=-1
IF(IFHE2.LE.0) RETURN
IF(FREQ(2).GE.1.315812E16) RETURN
AL0=2.997925E17/FREQ(1)
AL1=2.997925E17/FREQ(2)
c IF(AL0.GT.390.) RETURN
if(grav.lt.6.) then
IF(AL0.GT.31..AND.AL1.LT.91.1) RETURN
IF(AL0.GT.26.1.AND.AL1.LT.29.8) RETURN
IF(AL0.GT.24.8.AND.AL1.LT.25.1) RETURN
IF(AL0.GT.122.1.AND.AL1.LT.162.9) RETURN
IF(AL0.GT.165.1.AND.AL1.LT.204.9) RETURN
IF(AL0.GT.109..AND.AL1.LT.120.9) RETURN
IF(AL0.GT.103..AND.AL1.LT.107.9) RETURN
IF(AL0.GT.99.7.AND.AL1.LT.102.) RETURN
IF(AL0.GT.320.8.AND.AL1.LT.364.4) RETURN
IF(AL0.GT.273.8.AND.AL1.LT.319.8) RETURN
IF(AL0.GT.251.6.AND.AL1.LT.272.8) RETURN
IF(AL0.GT.239.0.AND.AL1.LT.250.6) RETURN
IF(AL0.GT.231.1.AND.AL1.LT.238.0) RETURN
IF(AL0.GT.225.8.AND.AL1.LT.230.1) RETURN
else if(grav.lt.7.) then
IF(AL0.GT.33..AND.AL1.LT.91.1) RETURN
IF(AL0.GT.124.1.AND.AL1.LT.160.9) RETURN
IF(AL0.GT.167.1.AND.AL1.LT.202.9) RETURN
IF(AL0.GT.111..AND.AL1.LT.118.9) RETURN
IF(AL0.GT.322.8.AND.AL1.LT.364.4) RETURN
IF(AL0.GT.275.8.AND.AL1.LT.317.8) RETURN
IF(AL0.GT.253.6.AND.AL1.LT.270.8) RETURN
IF(AL0.GT.241.0.AND.AL1.LT.248.6) RETURN
IF(AL0.GT.233.1.AND.AL1.LT.236.0) RETURN
else
IF(AL0.GT.39..AND.AL1.LT.91.1) RETURN
IF(AL0.GT.134.1.AND.AL1.LT.150.9) RETURN
IF(AL0.GT.177.1.AND.AL1.LT.202.9) RETURN
end if
C
C otherwise, He II lines are included
C
IHE2L=1
MHE10=60
MHE20=60
IF(AL1.LT.91.) THEN
ILWHE2=1
ELSE IF(AL0.LT.204.) THEN
ILWHE2=2
ELSE IF(AL0.LT.364.) THEN
ILWHE2=3
ELSE IF(AL0.LT.569.) THEN
ILWHE2=4
ELSE IF(AL0.LT.819.) THEN
ILWHE2=5
ELSE IF(AL0.LT.1116.) THEN
ILWHE2=6
ELSE IF(AL0.LT.1457.) THEN
ILWHE2=7
ELSE IF(AL0.LT.1844.) THEN
ILWHE2=8
ELSE IF(AL0.LT.2277.) THEN
ILWHE2=9
ELSE IF(AL0.LT.2756.) THEN
ILWHE2=10
ELSE IF(AL0.LT.3279.) THEN
ILWHE2=11
ELSE
ILWHE2=12
END IF
FRION=FRHE(ILWHE2)
FR1=FRION*ILWHE2*ILWHE2
IF(FRION.GT.FREQ(2)) MHE10=int(SQRT(FR1/(FRION-FREQ(2))))
IF(FRION.GT.FREQ(1)) MHE20=int(SQRT(FR1/(FRION-FREQ(1))) )
WRITE(6,601) ILWHE2,MHE20+1
601 FORMAT(1H0/ ' *** HE II LINES CONTRIBUTE'/
* ' THE NEAREST LINE ON THE SHORT-WAVELENGTH SIDE IS',
* I3,' TO ',I3/)
RETURN
END
C
C
C ********************************************************************
C
C
SUBROUTINE HE2SEW(IJ)
C =====================
C
C Initialization procedure for treating the He II line opacity
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'SYNTHP.FOR'
dimension frhe(12)
DATA FRHE /1.3158153D+16, 3.2895381D+15, 1.4624854D+15,
* 8.2261878D+14, 5.2647201D+14, 3.6560459D+14,
* 2.6860713D+14, 2.0565220D+14, 1.6249055D+14,
* 1.3161730D+14, 1.0877460D+14, 9.1400851D+13/
C
C IHE2L=-1 - He II lines are excluded a priori
C
IHE2LW(IJ)=-1
IF(IFHE2.LE.0) RETURN
FR=FREQ(IJ)
AL0=2.997925E17/FR
AL1=2.997925E17/FR
if(grav.lt.6.) then
IF(AL0.GT.31..AND.AL1.LT.91.1) RETURN
IF(AL0.GT.26.1.AND.AL1.LT.29.8) RETURN
IF(AL0.GT.24.8.AND.AL1.LT.25.1) RETURN
IF(AL0.GT.122.1.AND.AL1.LT.162.9) RETURN
IF(AL0.GT.165.1.AND.AL1.LT.204.9) RETURN
IF(AL0.GT.109..AND.AL1.LT.120.9) RETURN
IF(AL0.GT.103..AND.AL1.LT.107.9) RETURN
IF(AL0.GT.99.7.AND.AL1.LT.102.) RETURN
IF(AL0.GT.320.8.AND.AL1.LT.364.4) RETURN
IF(AL0.GT.273.8.AND.AL1.LT.319.8) RETURN
IF(AL0.GT.251.6.AND.AL1.LT.272.8) RETURN
IF(AL0.GT.239.0.AND.AL1.LT.250.6) RETURN
IF(AL0.GT.231.1.AND.AL1.LT.238.0) RETURN
IF(AL0.GT.225.8.AND.AL1.LT.230.1) RETURN
else if(grav.lt.7.) then
IF(AL0.GT.33..AND.AL1.LT.91.1) RETURN
IF(AL0.GT.124.1.AND.AL1.LT.160.9) RETURN
IF(AL0.GT.167.1.AND.AL1.LT.202.9) RETURN
IF(AL0.GT.111..AND.AL1.LT.118.9) RETURN
IF(AL0.GT.322.8.AND.AL1.LT.364.4) RETURN
IF(AL0.GT.275.8.AND.AL1.LT.317.8) RETURN
IF(AL0.GT.253.6.AND.AL1.LT.270.8) RETURN
IF(AL0.GT.241.0.AND.AL1.LT.248.6) RETURN
IF(AL0.GT.233.1.AND.AL1.LT.236.0) RETURN
else
IF(AL0.GT.39..AND.AL1.LT.91.1) RETURN
IF(AL0.GT.134.1.AND.AL1.LT.150.9) RETURN
IF(AL0.GT.177.1.AND.AL1.LT.202.9) RETURN
end if
C
C otherwise, He II lines are included
C
IHE2LW(IJ)=1
MHE10W(IJ)=60
MHE20W(IJ)=60
IF(AL1.LT.91.) THEN
ILWHEW(IJ)=1
ELSE IF(AL0.LT.204.) THEN
ILWHEW(IJ)=2
ELSE IF(AL0.LT.364.) THEN
ILWHEW(IJ)=3
ELSE IF(AL0.LT.569.) THEN
ILWHEW(IJ)=4
ELSE IF(AL0.LT.819.) THEN
ILWHEW(IJ)=5
ELSE IF(AL0.LT.1116.) THEN
ILWHEW(IJ)=6
ELSE IF(AL0.LT.1457.) THEN
ILWHEW(IJ)=7
ELSE IF(AL0.LT.1844.) THEN
ILWHEW(IJ)=8
ELSE IF(AL0.LT.2277.) THEN
ILWHEW(IJ)=9
ELSE IF(AL0.LT.2756.) THEN
ILWHEW(IJ)=10
ELSE IF(AL0.LT.3279.) THEN
ILWHEW(IJ)=11
ELSE
ILWHEW(IJ)=12
END IF
FRION=FRHE(ILWHEW(IJ))
FR1=FRION*ILWHEW(IJ)*ILWHEW(IJ)
IF(FRION.GT.FR) MHE10W(IJ)=int(SQRT(FR1/(FRION-FR)))
RETURN
END
C
C ********************************************************************
C
SUBROUTINE HE2LIN(ID,I0,I1,ABSOH,EMISH)
C
C opacity and emissivity of He II lines (these which are not considered
C explicitly)
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
PARAMETER (UN=1.,SIXTH=1./6.)
PARAMETER (CPP=4.1412E-16,CPJ=631479.)
PARAMETER (C00=1.25E-9,CDOP=1.284523E12,CID=0.02654,TWO=2.)
PARAMETER (CPJ4=CPJ/4.,AL10=2.3025851,CINV=UN/2.997925E18)
PARAMETER (CID1=0.01497)
DIMENSION PJ(80),FRHE(12),OSCHE2(19),PRF0(36),
* ABSO(MFREQ),EMIS(MFREQ),ABSOH(MFREQ),EMISH(MFREQ)
COMMON/HE2PRF/PRFHE2(19,MDEPTH,36),WLHE2(19,36),NWLHE2(19),
* ILHE2(19),IUHE2(19)
DATA FRHE /1.3158153D+16, 3.2895381D+15, 1.4624854D+15,
* 8.2261878D+14, 5.2647201D+14, 3.6560459D+14,
* 2.6860713D+14, 2.0565220D+14, 1.6249055D+14,
* 1.3161730D+14, 1.0877460D+14, 9.1400851D+13/
DATA OSCHE2/6.407E-1, 1.506E-1, 5.584E-2, 2.768E-2,
* 1.604E-2, 1.023E-2, 6.980E-3,
* 8.421E-1, 3.230E-2, 1.870E-2, 1.196E-2, 8.187E-3,
* 5.886E-3, 4.393E-3, 3.375E-3, 2.656E-3,
* 1.038, 1.793E-1, 6.549E-2/
C
I=ILWHE2
izz=2
DO IJ=I0,I1
ABSO(IJ)=0.
EMIS(IJ)=0.
ABSOH(IJ)=0.
EMISH(IJ)=0.
END DO
T=TEMP(ID)
T1=UN/T
SQT=SQRT(T)
ANE=ELEC(ID)
ANES=EXP(SIXTH*LOG(ANE))
C
C He III populations (either LTE or NLTE, depending on input model)
C
IF(IELHE2.GT.0) THEN
ANP=POPUL(NNEXT(IELHE2),ID)
NLHE2=NLAST(IELHE2)-NFIRST(IELHE2)+1
ELSE
ANP=RRR(ID,3,2)
NLHE2=0
END IF
C
C populations of the first 60 levels of He II
C
PP=CPP*ANE*ANP*T1/SQT
DO IL=1,60
X=IL*IL
IIL=NFIRST(IELHE2)+IL-1
IF(IL.LE.NLHE2) PJ(IL)=POPUL(IIL,ID)
IF(IL.GT.NLHE2) PJ(IL)=PP*EXP(CPJ/X*T1)*X*wnhe2(il,id)
END DO
C
C Frequency- and line-independent parameters for evaluating the
C asymptotic Stark profile
C
F00=3.906e-11*ANES*ANES*ANES*ANES
DOP0=1.E8*SQRT(4.12E7*T+VTURB(ID))
C
C -------------------------------------------------------------------
C overall loop over spectral series (only in the infrared region)
C -------------------------------------------------------------------
C
ISERU=ILWHE2
IF(ILWHE2.LE.3) THEN
ISERL=ILWHE2
ELSE IF(ILWHE2.LE.5) THEN
ISERL=ILWHE2-1
ELSE IF(ILWHE2.LE.7) THEN
ISERL=ILWHE2-2
ELSE IF(ILWHE2.LE.9) THEN
ISERL=ILWHE2-3
ELSE
ISERL=ILWHE2-4
END IF
C
DO IJ=I0,I1
ABSO(IJ)=0.
EMIS(IJ)=0.
END DO
C
DO 200 I=ISERL,ISERU
II=I*I
XII=UN/II
POPI=PJ(I)
C
C determination of which He II lines contribute in a current
C frequency region
C
M1=MHE10
IF(I.LT.ILWHE2.AND.FRHE(I).GT.FREQ(2)) THEN
M1=int(SQRT(FRHE(I)*II/(FRHE(I)-FREQ(2))))
END IF
M2=M1+1
IF(M1.LT.I+1) M1=I+1
IF(grav.lt.6..and.M1.LE.6.AND.I.EQ.2) GO TO 10
IF(grav.lt.6..and.M1.LE.4.AND.I.EQ.1) GO TO 10
M1=M1-1
M2=MHE20+3
IF(M2.GT.60) M2=60
10 CONTINUE
if(grav.gt.6.) then
m2=m2+5
m1=m1-3
if(m1.gt.i+6) m1=m1-3
end if
IF(M1.LT.I+1) M1=I+1
IF(M2.GT.60) M2=60
c A=0.
c E=0.
C
C loop over lines which contribute at given wavelength region
C
DO 100 J=M1,M2
ILINE=0
JJ=J*J
XJJ=UN/JJ
ABTRA=PJ(I)*WNHE2(J,ID)
EMTRA=PJ(J)*WNHE2(I,ID)*II*XJJ*EXP(CPJ*(XII-XJJ)*T1)
IF(I.LE.2) THEN
WLIN=227.838/(XII-1./JJ)
ELSE
WLIN=227.7776/(XII-1./JJ)
END IF
IF(I.EQ.2) THEN
IF(J.EQ.3.AND.IHE2PR.GT.0) ILINE=1
ELSE IF(I.EQ.3) THEN
IF(J.EQ.4.AND.IHE2PR.GT.0) ILINE=8
IF(J.GT.5.AND.J.LE.10.AND.IHE2PR.GT.0) ILINE=J-3
ELSE IF(I.EQ.4) THEN
IF(J.LE.7.AND.IHE2PR.GT.0) ILINE=J+12
IF(J.GE.8.AND.J.LE.15.AND.IHE2PR.GT.0) ILINE=J+1
END IF
IF(ILINE.GT.0) THEN
NWL=NWLHE2(ILINE)
DO IWL=1,NWL
PRF0(IWL)=PRFHE2(ILINE,ID,IWL)
END DO
FID=CID*OSCHE2(ILINE)
DO 50 IJ=I0,I1
AL=ABS(WLAM(IJ)-WLIN)
IF(AL.LT.1.E-4) AL=1.E-4
AL=LOG10(AL)
DO IWL=1,NWL-1
IW0=IWL
IF(AL.LE.WLHE2(ILINE,IWL+1)) GO TO 40
END DO
40 IW1=IW0+1
PRFF=(PRF0(IW0)*(WLHE2(ILINE,IW1)-AL)+PRF0(IW1)*
* (AL-WLHE2(ILINE,IW0)))/
* (WLHE2(ILINE,IW1)-WLHE2(ILINE,IW0))
SG=EXP(PRFF*AL10)*FID
ABSO(IJ)=ABSO(IJ)+SG*ABTRA
EMIS(IJ)=EMIS(IJ)+SG*EMTRA
50 CONTINUE
ELSE
CALL STARK0(I,J,izz,XKIJ,WL0,FIJ,FIJ0)
FXK=F00*XKIJ
FXK1=UN/FXK
DOP=DOP0/WL0
DBETA=WL0*WL0*CINV*FXK1
BETAD=DOP*DBETA
FID=CID*FIJ*DBETA
c FID0=CID1*FIJ0/DOP
CALL DIVHE2(AD,DIV)
DO IJ=I0,I1
BETA=ABS(WLAM(IJ)-WL0)*FXK1
SG=STARKA(BETA,AD,DIV,UN)*FID
c if(fid0.gt.0.) then
c xd=beta/betad
c if(xd.lt.5.) sg=sg+exp(-xd*xd)*fid0
c end if
ABSO(IJ)=ABSO(IJ)+SG*ABTRA
EMIS(IJ)=EMIS(IJ)+SG*EMTRA
END DO
END IF
100 CONTINUE
200 CONTINUE
C
C ----------------------------
C total opacity and emissivity
C ----------------------------
C
DO IJ=I0,I1
F=FREQ(IJ)
F15=F*1.E-15
XKF=EXP(-4.79928e-11*F*T1)
XKFB=XKF*1.4743E-2*F15*F15*F15
ABSOH(IJ)=ABSO(IJ)-XKF*EMIS(IJ)
EMISH(IJ)=XKFB*EMIS(IJ)
END DO
RETURN
END
C
C ********************************************************************
C
SUBROUTINE HE2LIW(ID,ABSOH,EMISH)
C =================================
C
C opacity and emissivity of He II lines (these which are not considered
C explicitly)
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
INCLUDE 'WINCOM.FOR'
PARAMETER (UN=1.,SIXTH=1./6.)
PARAMETER (CPP=4.1412E-16,CPJ=631479.)
PARAMETER (C00=1.25E-9,CDOP=1.284523E12,CID=0.02654,TWO=2.)
PARAMETER (CPJ4=CPJ/4.,AL10=2.3025851,CINV=UN/2.997925E18)
PARAMETER (CID1=0.01497)
DIMENSION PJ(80),FRHE(12),OSCHE2(19),PRF0(36),
* ABSO(MFREQ),EMIS(MFREQ),ABSOH(MFREQ),EMISH(MFREQ)
COMMON/HE2PRF/PRFHE2(19,MDEPTH,36),WLHE2(19,36),NWLHE2(19),
* ILHE2(19),IUHE2(19)
common/lasers/lasdel
DATA FRHE /1.3158153D+16, 3.2895381D+15, 1.4624854D+15,
* 8.2261878D+14, 5.2647201D+14, 3.6560459D+14,
* 2.6860713D+14, 2.0565220D+14, 1.6249055D+14,
* 1.3161730D+14, 1.0877460D+14, 9.1400851D+13/
DATA OSCHE2/6.407E-1, 1.506E-1, 5.584E-2, 2.768E-2,
* 1.604E-2, 1.023E-2, 6.980E-3,
* 8.421E-1, 3.230E-2, 1.870E-2, 1.196E-2, 8.187E-3,
* 5.886E-3, 4.393E-3, 3.375E-3, 2.656E-3,
* 1.038, 1.793E-1, 6.549E-2/
C
I=ILWHE2
izz=2
DO IJ=1,NFREQ
ABSO(IJ)=0.
EMIS(IJ)=0.
ABSOH(IJ)=0.
EMISH(IJ)=0.
END DO
IF(IFHE2.LE.0) RETURN
T=TEMP(ID)
T1=UN/T
SQT=SQRT(T)
ANE=ELEC(ID)
ANES=EXP(SIXTH*LOG(ANE))
C
C He III populations (either LTE or NLTE, depending on input model)
C
IF(IELHE2.GT.0) THEN
ANP=POPUL(NNEXT(IELHE2),ID)
NLHE2=NLAST(IELHE2)-NFIRST(IELHE2)+1
ELSE
ANP=RRR(ID,3,2)
NLHE2=0
END IF
C
C populations of the first 60 levels of He II
C
PP=CPP*ANE*ANP*T1/SQT
DO IL=1,60
X=IL*IL
IIL=NFIRST(IELHE2)+IL-1
IF(IL.LE.NLHE2) PJ(IL)=POPUL(IIL,ID)
IF(IL.GT.NLHE2) PJ(IL)=PP*EXP(CPJ/X*T1)*X*wnhe2(il,id)
END DO
C
C Frequency- and line-independent parameters for evaluating the
C asymptotic Stark profile
C
F00=3.906e-11*ANES*ANES*ANES*ANES
DOP0=1.E8*SQRT(4.12E7*T+VTURB(ID))
C
C -------------------------------------------------------------------
C overall loop over spectral series (only in the infrared region)
C -------------------------------------------------------------------
C
DO 300 IJ=1,NFREQ
ABSO(IJ)=0.
EMIS(IJ)=0.
IF(IHE2LW(IJ).le.0) GO TO 300
I=ILWHEW(IJ)
FR=FREQ(IJ)
ISERU=ILWHEW(IJ)
IF(ILWHEW(IJ).LE.3) THEN
ISERL=ILWHEW(IJ)
ELSE IF(ILWHEW(IJ).LE.5) THEN
ISERL=ILWHEW(IJ)-1
ELSE IF(ILWHEW(IJ).LE.7) THEN
ISERL=ILWHEW(IJ)-2
ELSE IF(ILWHEW(IJ).LE.9) THEN
ISERL=ILWHEW(IJ)-3
ELSE
ISERL=ILWHEW(IJ)-4
END IF
C
C
DO 200 I=ISERL,ISERU
II=I*I
XII=UN/II
PLTEI=PP*EXP(CPJ*T1*XII)*II
POPI=PJ(I)
C
C determination of which He II lines contribute in a current
C frequency region
C
M1=MHE10W(IJ)
IF(I.LT.ILWHEW(IJ).AND.FRHE(I).GT.FR) THEN
M1=int(SQRT(FRHE(I)*II/(FRHE(I)-FR)))
END IF
M2=M1+1
IF(M1.LT.I+1) M1=I+1
IF(grav.lt.6..and.M1.LE.6.AND.I.EQ.2) GO TO 10
IF(grav.lt.6..and.M1.LE.4.AND.I.EQ.1) GO TO 10
M1=M1-1
M2=MHE20W(IJ)+3
IF(M2.GT.60) M2=60
10 CONTINUE
if(grav.gt.6.) then
m2=m2+5
m1=m1-3
if(m1.gt.i+6) m1=m1-3
end if
IF(M1.LT.I+1) M1=I+1
IF(M2.GT.60) M2=60
C
C loop over lines which contribute at given wavelength region
C
DO 100 J=M1,M2
ILINE=0
JJ=J*J
XJJ=UN/JJ
ABTRA=PJ(I)*WNHE2(J,ID)
EMTRA=PJ(J)*WNHE2(I,ID)*II*XJJ*EXP(CPJ*(XII-XJJ)*T1)
IF(I.LE.2) THEN
WLIN=227.838/(XII-1./JJ)
ELSE
WLIN=227.7776/(XII-1./JJ)
END IF
IF(I.EQ.2) THEN
IF(J.EQ.3.AND.IHE2PR.GT.0) ILINE=1
ELSE IF(I.EQ.3) THEN
IF(J.EQ.4.AND.IHE2PR.GT.0) ILINE=8
IF(J.GT.5.AND.J.LE.10.AND.IHE2PR.GT.0) ILINE=J-3
ELSE IF(I.EQ.4) THEN
IF(J.LE.7.AND.IHE2PR.GT.0) ILINE=J+12
IF(J.GE.8.AND.J.LE.15.AND.IHE2PR.GT.0) ILINE=J+1
END IF
IF(ILINE.GT.0) THEN
NWL=NWLHE2(ILINE)
DO IWL=1,NWL
PRF0(IWL)=PRFHE2(ILINE,ID,IWL)
END DO
FID=CID*OSCHE2(ILINE)
AL=ABS(WLAM(IJ)-WLIN)
IF(AL.LT.1.E-4) AL=1.E-4
AL=LOG10(AL)
DO IWL=1,NWL-1
IW0=IWL
IF(AL.LE.WLHE2(ILINE,IWL+1)) GO TO 40
END DO
40 IW1=IW0+1
PRFF=(PRF0(IW0)*(WLHE2(ILINE,IW1)-AL)+PRF0(IW1)*
* (AL-WLHE2(ILINE,IW0)))/
* (WLHE2(ILINE,IW1)-WLHE2(ILINE,IW0))
SG=EXP(PRFF*AL10)*FID
ABSO(IJ)=ABSO(IJ)+SG*ABTRA
EMIS(IJ)=EMIS(IJ)+SG*EMTRA
ELSE
CALL STARK0(I,J,izz,XKIJ,WL0,FIJ,FIJ0)
FXK=F00*XKIJ
FXK1=UN/FXK
DOP=DOP0/WL0
DBETA=WL0*WL0*CINV*FXK1
BETAD=DOP*DBETA
FID=CID*FIJ*DBETA
CALL DIVHE2(AD,DIV)
BETA=ABS(WLAM(IJ)-WL0)*FXK1
SG=STARKA(BETA,AD,DIV,UN)*FID
ABSO(IJ)=ABSO(IJ)+SG*ABTRA
EMIS(IJ)=EMIS(IJ)+SG*EMTRA
END IF
100 CONTINUE
200 CONTINUE
C
C ----------------------------
C total opacity and emissivity
C ----------------------------
C
F=FREQ(IJ)
F15=F*1.E-15
XKF=EXP(-4.79928e-11*F*T1)
XKFB=XKF*1.4743E-2*F15*F15*F15
ABSOH(IJ)=ABSO(IJ)-XKF*EMIS(IJ)
EMISH(IJ)=XKFB*EMIS(IJ)
300 CONTINUE
RETURN
END
C
C ********************************************************************
C
SUBROUTINE STARK0(I,J,IZZ,XKIJ,WL0,FIJ,FIJ0)
C
C Auxiliary procedure for evaluating the approximate Stark profile
C of hydrogen lines - sets up necessary frequency independent
C parameters
C
C Input: I - principal quantum number of the lower level
C J - principal quantum number of the upper level
C IZZ - ionic charge (IZZ=1 for hydrogen, etc.)
C Output: XKIJ - coefficients K(i,j) for the Hotzmark profile;
C exact up to j=6, asymptotic for higher j
C WL0 - wavelength of the line i-j
C FIJ - Stark f-value for the line i-j
C FIJ0 - f-value for the undisplaced component of the line
C
C
INCLUDE 'PARAMS.FOR'
PARAMETER (RYD1=911.763811,RYD2=911.495745,CXKIJ=5.5E-5)
PARAMETER (WI1=911.753578, WI2=227.837832)
PARAMETER (UN=1.,TEN=10.,TWEN=20.,HUND=100.)
DIMENSION FSTARK(10,4),XKIJT(5,4),FOSC0(10,4),FADD(5,5)
DATA XKIJT/3.56E-4,5.23E-4,1.09E-3,1.49E-3,2.25E-3,.0125,.0177,
* .028,.0348,.0493,.124,.171,.223,.261,.342,.683,.866,1.02,1.19,
* 1.46/
DATA FSTARK/ .1387, .0791, .02126, .01394, .00642,
* 4.814E-3, 2.779E-3, 2.216E-3, 1.443E-3, 1.201E-3,
* .3921, .1193, .03766, .02209, .01139,
* 8.036E-3, 5.007E-3, 3.85E-3, 2.658E-3, 2.151E-3,
* .6103, .1506, .04931, .02768, .01485,
* .01023, 6.588E-3, 4.996E-3, 3.524E-3, 2.838E-3,
* .8163, .1788, .05985, .03189, .01762,
* .01196, 7.825E-3, 5.882E-3, 4.233E-3, 3.375E-3/
DATA FOSC0 / 0.27746, 0., 0.00773, 0., 0.00134, 0.,
* 0.000404, 0., 0.000162, 0.,
* 0.24869, 0., 0.00701, 0., 0.00131, 0.,
* 0.000422, 0., 0.000177, 0.,
* 0.23175, 0., 0.00653, 0., 0.00118, 0.,
* 0.000392, 0., 0.000169, 0.,
* 0.22148, 0.0005, 0.00563, 0.0004, 0.00108, 0.,
* 0.000362, 0., 0.000159, 0./
DATA FADD / 1.231, 0.2069, 7.448E-2, 3.645E-2, 2.104E-2,
* 1.424, 0.2340, 8.315E-2, 4.038E-2, 2.320E-2,
* 1.616, 0.2609, 9.163E-2, 4.416E-2, 2.525E-2,
* 1.807, 0.2876, 1.000E-1, 4.787E-2, 2.724E-2,
* 1.999, 0.3143, 1.083E-1, 5.152E-2, 2.918E-2/
C
II=I*I
JJ=J*J
JMIN=J-I
IF(JMIN.LE.5.and.i.le.4) THEN
XKIJ=XKIJT(JMIN,I)
ELSE
XKIJ=CXKIJ*(II*JJ)*(II*JJ)/(JJ-II)
END IF
IF(I.LE.4) THEN
IF(JMIN.LE.10) THEN
FIJ=FSTARK(JMIN,I)
FIJ0=FOSC0(JMIN,I)
ELSE
CFIJ=((TWEN*I+HUND)*J/(I+TEN)/(JJ-II))
FIJ=FSTARK(10,I)*CFIJ*CFIJ*CFIJ
FIJ0=0.
END IF
ELSE IF(I.LE.9) THEN
IF(JMIN.LE.5) THEN
FIJ=FADD(JMIN,I-4)
FIJ0=0.
ELSE
CFIJ=((TEN*I+25.)*J/(I+5.)/(JJ-II))
FIJ=FADD(5,I-4)*CFIJ*CFIJ*CFIJ
FIJ0=0.
END IF
ELSE
CFIJ=UN*J/(JJ-II)
FIJ=1.96*I*CFIJ*CFIJ*CFIJ
FIJ0=0.
END IF
C
C wavelength with an explicit correction to the air wavalength
C
w0=wi1
if(izz.eq.2) w0=wi2
WL0=W0/(UN/II-UN/JJ)
IF(WL0.GT.vaclim) THEN
ALM=1.E8/(WL0*WL0)
XN1=64.328+29498.1/(146.-ALM)+255.4/(41.-ALM)
WL0=WL0/(XN1*1.D-6+UN)
END IF
RETURN
END
C
C ********************************************************************
C
FUNCTION STARKA(BETA,A,DIV,FAC)
C
C Approximate expressions for the hydrogen Stark profile
C
C Input: BETA - delta lambda in beta units,
C BETAD - Doppler width in beta units
C A - auxiliary parameter
C A=1.5*LOG(BETAD)-1.671
C DIV - only for A > 1; division point between Doppler
C and asymptotic Stark wing, expressed in units
C of betad.
C DIV = solution of equation
C exp(-(beta/betad)**2)/betad/sqrt(pi)=
C = 1.5*FAC*beta**-5/2
C (ie. the point where Doppler profile is equal to
C the asymptotic Holtsmark)
C In order to save computer time, the division point
C DIV is calculated in advance by routine DIVSTR.
C FAC - factor by which the Holtsmark profile is to be
C multiplied to get total Stark Profile
C FAC should be taken to 2 for hydrogen, (and =1
C for He II)
C
INCLUDE 'PARAMS.FOR'
PARAMETER (F0=-0.5758228,F1=0.4796232,F2=0.07209481/2.,AL=1.26)
PARAMETER (SD=0.5641895,SLO=-2.5,TRHA=1.5,BL1=1.52,BL2=8.325)
PARAMETER (SAC=0.07966/2.)
XD=BETA/BETAD
C
C for a > 1 Doppler core + asymptotic Holtzmark wing with division
C point DIV
C
IF(A.GT.AL) THEN
IF(XD.LE.DIV) THEN
STARKA=SD*EXP(-XD*XD)/BETAD
ELSE
STARKA=TRHA*FAC*EXP(SLO*LOG(BETA))
END IF
ELSE
C
C empirical formula for a < 1
C
IF(BETA.LE.BL1) THEN
STARKA=SAC*FAC
ELSE IF(BETA.LT.BL2) THEN
XL=LOG(BETA)
FL=(F0*XL+F1)*XL
STARKA=F2*FAC*EXP(FL)
ELSE
STARKA=TRHA*FAC*EXP(SLO*LOG(BETA))
END IF
END IF
RETURN
END
C
C *******************************************************************
C *******************************************************************
C
FUNCTION STARKIR(II,JJ,T,ANE,BETA)
C ==================================
C
INCLUDE 'PARAMS.FOR'
PARAMETER (PI=3.14159265,PI2=2.*PI,
* OS0=0.026564,RYD=3.28805E15,
* Y2CON=PI*PI*0.5/OS0/CL)
C
DEL=BETA/DBETA
HKT=HK/T
XII=II
XJJ=JJ
XX=XII/XJJ
DD=2.*XJJ*RYD/DEL
Y1=XJJ*DEL*0.5*HKT
Y2=Y2CON*DEL**2/ANE
QSTAT=1.5+.5*(Y1**2-1.384)/(Y1**2+1.384)
QIMPA=0.
IF(Y1.GT.8..OR.Y1.GE.Y2) GO TO 10
EXY2=0.
IF(Y2.LE.8.) EXY2=EXPINT(Y2)
QIMPA=1.438*SQRT(Y1*(1.-XX))*(.4*EXP(-Y1)+EXPINT(Y1)-.5*EXY2)
10 IF(BETA.GT.20.) GO TO 20
PROF=8./(80.+BETA**3)
RATIO=QSTAT+QIMPA
GO TO 30
20 PROF=1.5/BETA/BETA/SQRT(BETA)
DIOI=PI2*1.48E-25*DD*ANE*(SQRT(DD)*
* (1.3*QSTAT+.3*QIMPT)-3.9*RYD*HKT)
RATIO=QSTAT*MIN(1.+DIOI,1.25)+QIMPA
30 STARKIR=PROF*RATIO
RETURN
END
C
C *******************************************************************
C *******************************************************************
C
SUBROUTINE DIVSTR(A,DIV)
C ==============================
C
C Auxiliary procedure for STARKA - determination of the division
C point between Doppler and asymptotic Stark profiles
C
C Input: BETAD - Doppler width in beta units
C Output: A - auxiliary parameter
C A=1.5*LOG(BETAD)-1.671
C DIV - only for A > 1; division point between Doppler
C and asymptotic Stark wing, expressed in units
C of betad.
C DIV = solution of equation
C exp(-(beta/betad)**2)/betad/sqrt(pi)=3*beta**-5/2
C
INCLUDE 'PARAMS.FOR'
PARAMETER (UN=1.,TWO=2.,UNQ=1.25,UNH=1.5,TWH=2.5,FO=4.,FI=5.)
PARAMETER (CA=1.671,BL=5.821,AL=1.26,CX=0.28,DX=0.0001)
C
A=UNH*LOG(BETAD)-CA
IF(BETAD.LT.BL) RETURN
IF(A.GE.AL) THEN
X=SQRT(A)*(UN+UNQ*LOG(A)/(FO*A-FI))
ELSE
X=SQRT(CX+A)
ENDIF
DO I=1,5
XN=X*(UN-(X*X-TWH*LOG(X)-A)/(TWO*X*X-TWH))
IF(ABS(XN-X).LE.DX) GO TO 20
X=XN
END DO
20 DIV=X
RETURN
END
C
C ********************************************************************
C
SUBROUTINE HYDINI
C
C Initializes necessary arrays for evaluating hydrogen line profiles
C from the Lemke, Tremblay-Bergeron, or Schoening-Butler tables
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
c DIMENSION WLINE(4,22)
DIMENSION IILW(100),IIUP(100)
CHARACTER*1 CHAR
DATA INIT /0/
C
IF(INIT.EQ.0) THEN
DO I=1,4
DO J=I+1,22
CALL STARK0(I,J,IZZ,XK,WL0,FIJ,FIJ0)
WLINE(I,J)=WL0
c OSCH(I,J)=FIJ+FIJ0
END DO
END DO
INIT=1
END IF
DO I=1,4
DO J=1,22
ILIN0(I,J)=0
END DO
END DO
C
C --------------------------------------------
C Schoening-Butler tables - for IHYDPR < 0
C --------------------------------------------
C
IF(IHYDPR.LT.0) THEN
IHYDPR=67
ILEMKE=0
NLINE=12
c
OPEN(UNIT=IHYDPR,FILE='./data/hydprf.dat',STATUS='OLD')
write(6,*) ' reading Schoening-Butler tables'
C
DO I=1,12
READ(IHYDPR,500)
END DO
DO 100 ILINE=1,NLINE
C
C read the tables, which have to be stored in file
C unit IHYDPR (which is the input parameter in the progarm)
C
READ(IHYDPR,501) I,J
IF(ILINE.EQ.12) J=10
WL0=WLINE(I,J)
ILIN0(I,J)=ILINE
READ(IHYDPR,*) CHAR,NWL,(WL(I,ILINE),I=1,NWL)
READ(IHYDPR,*) CHAR,NT,(XT(I,ILINE),I=1,NT)
READ(IHYDPR,*) CHAR,NE,(XNE(I,ILINE),I=1,NE)
READ(IHYDPR,500)
NWLH(ILINE)=NWL
NWLHYD(ILINE)=NWL
NTH(ILINE)=NT
NEH(ILINE)=NE
C
DO I=1,NWL
IF(WL(I,ILINE).LT.1.E-4) WL(I,ILINE)=1.E-4
WLHYD(ILINE,I)=LOG10(WL(I,ILINE))
END DO
C
DO IE=1,NE
DO IT=1,NT
READ(IHYDPR,500)
READ(IHYDPR,*) (PRF(IWL,IT,IE,ILINE),IWL=1,NWL)
END DO
END DO
C
C coefficient for the asymptotic profile is determined from
C the input data
C
XCLOG=PRF(NWL,1,1,ILINE)+2.5*LOG10(WL(NWL,ILINE))+31.5304-
* XNE(1,ILINE)-2.*LOG10(WL0)
XKLOG=0.6666667*(XCLOG-0.176)
XK=EXP(XKLOG*2.3025851)
C
DO ID=1,ND
C
C temperature is modified in order to account for the
C effect of turbulent velocity on the Doppler width
C
T=TEMP(ID)+6.06E-9*VTURB(ID)
ANE=ELEC(ID)
TL=LOG10(T)
ANEL=LOG10(ANE)
F00=1.25E-9*ANE**0.666666667
FXK=F00*XK
DOP=1.E8/WL0*SQRT(1.65E8*T)
DBETA=WL0*WL0/2.997925E18/FXK
BETAD=DBETA*DOP
C
C interpolation to the actual values of temperature and electron
C density. The result is stored at array PRFHYD, having indices
C ILINE (line number: 1 for L-alpha,..., 4 for H-delta, etc.);
C 5 for H-alpha,..., 8 for H-delta, etc.)
C ID - depth index
C IWL - wavelength index
C
DO IWL=1,NWL
CALL INTHYD(PROF,TL,ANEL,IWL,ILINE)
PRFHYD(ILINE,ID,IWL)=PROF
END DO
END DO
100 CONTINUE
CLOSE(IHYDPR)
C
500 FORMAT(1X)
501 FORMAT(12X,I1,9X,I1)
C
IHYDPR=-IHYDPR
RETURN
END IF
C
C ---------------------------------
C read Lemke or Tremblay tables
C ---------------------------------
C
if(ihydpr.lt.20) ihydpr=ihydpr+20
if(ihydpr.eq.21) then
open(unit=ihydpr,file='./data/lemke.dat',status='old')
write(6,641) ihydpr
else if(ihydpr.eq.22) then
open(unit=ihydpr,file='./data/tremblay.dat',status='old')
write(6,642) ihydpr
end if
641 format(' -----------'/
* ' reading Lemke tables; ihydpr =',i3,/
* ' -----------')
642 format(' -----------'/
* ' reading Tremblay tables; ihydpr =',i3,/
* ' -----------')
C
ILEMKE=1
READ(IHYDPR,*) NTAB
write(6,611) ntab
611 format(' ntab',i4)
DO ITAB=1,NTAB
ILINEB=ILINE
READ(IHYDPR,*) NLLY
DO ILI=1,NLLY
ILINE=ILINE+1
READ(IHYDPR,*) I,J,ALMIN,ANEMIN,TMIN,DLA,DLE,DLT,
* NWL,NE,NT
WL0=WLINE(I,J)
ILIN0(I,J)=ILINE
NWLH(ILINE)=NWL
NWLHYD(ILINE)=NWL
NTH(ILINE)=NT
NEH(ILINE)=NE
iilw(iline)=i
iiup(iline)=j
DO IWL=1,NWL
WL(IWL,ILINE)=ALMIN+(IWL-1)*DLA
WLHYD(ILINE,IWL)=WL(IWL,ILINE)
WL(IWL,ILINE)=EXP(2.3025851*WL(IWL,ILINE))
END DO
DO INE=1,NE
XNE(INE,ILINE)=ANEMIN+(INE-1)*DLE
END DO
DO IT=1,NT
XT(IT,ILINE)=TMIN+(IT-1)*DLT
END DO
END DO
c
DO ILI=1,NLLY
ILNE=ILINEB+ILI
NWL=NWLH(ILNE)
READ(IHYDPR,500)
DO INE=1,NEH(ILNE)
DO IT=1,NTH(ILNE)
READ(IHYDPR,*) QLT,(PRF(IWL,IT,INE,ILNE),IWL=1,NWL)
END DO
END DO
C
i=iilw(ilne)
j=iiup(ilne)
DO ID=1,ND
CALL HYDTAB(I,J,ID)
END DO
END DO
END DO
NLIHYD=ILNE
CLOSE(IHYDPR)
C
RETURN
END
C
C
C ********************************************************************
C
C
SUBROUTINE HYDTAB(I,J,ID)
C
C interpolated hydrogen line broadening table for line I->J and
C for parameters (TEMP, ELEC) at depth ID
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
C
ILINE=ILIN0(I,J)
IF(ILINE.EQ.0) RETURN
WL0=WLINE(I,J)
NWL=NWLH(ILINE)
C
C coefficient for the asymptotic profile is determined from
C the input data
C
if(id.eq.1) then
XCLOG=PRF(NWL,1,1,ILINE)+2.5*WLHYD(ILINE,NWL)-0.477121
XKLOG=0.6666667*XCLOG
XK=EXP(XKLOG*2.3025851)
end if
C
C temperature is modified in order to account for the
C effect of turbulent velocity on the Doppler width
C
T=TEMP(ID)+6.06E-9*VTURB(ID)
ANE=ELEC(ID)
TL=LOG10(T)
ANEL=LOG10(ANE)
F00=1.25E-9*ANE**0.666666667
FXK=F00*XK
DOP=1.E8/WL0*SQRT(1.65E8*T)
DBETA=WL0*WL0/2.997925E18/FXK
BETAD=DBETA*DOP
C
C interpolation to the actual values of temperature and electron
C density. The result is stored at array PRFHYD, having indices
C ILINE - line number
C ID - depth index
C IWL - wavelength index
C
DO IWL=1,NWL
CALL INTHYD(PROF,TL,ANEL,IWL,ILINE)
PRFHYD(ILINE,ID,IWL)=PROF
END DO
C
RETURN
END
C
C ********************************************************************
C
SUBROUTINE INTHYD(W0,X0,Z0,IWL,ILINE)
C
C Interpolation in temperature and electron density from the
C hydrogen odening tables to the actual valus of
C temperature and electron density
C
INCLUDE 'PARAMS.FOR'
PARAMETER (TWO=2.)
DIMENSION ZZ(3),XX(3),WX(3),WZ(3)
C
NX=3
NZ=3
NT=NTH(ILINE)
NE=NEH(ILINE)
BETA=WL(IWL,ILINE)/FXK
IF(ILEMKE.EQ.1) THEN
BETA=WL(IWL,ILINE)/XK
NX=2
NZ=2
END IF
C
C for values lower than the lowest grid value of electron density
C the profiles are determined by the approximate expression
C (see STARKA); not by an extrapolation in the HYD tables which may
C be very inaccurate
C
IF(Z0.LT.XNE(1,ILINE)*0.99.OR.Z0.GT.XNE(NE,ILINE)*1.01) THEN
CALL DIVSTR(A,DIV)
W0=STARKA(BETA,A,DIV,TWO)*DBETA
W0=LOG10(W0)
GO TO 500
END IF
C
C Otherwise, one interpolates (or extrapolates for higher than the
C highes grid value of electron density) in the HYD tables
C
DO IZZ=1,NE-1
IPZ=IZZ
IF(Z0.LE.XNE(IZZ+1,ILINE)) GO TO 20
END DO
20 N0Z=IPZ-NZ/2+1
IF(N0Z.LT.1) N0Z=1
IF(N0Z.GT.NE-NZ+1) N0Z=NE-NZ+1
N1Z=N0Z+NZ-1
C
DO 300 IZZ=N0Z,N1Z
I0Z=IZZ-N0Z+1
ZZ(I0Z)=XNE(IZZ,ILINE)
C
C Likewise, the approximate expression instead of extrapolation
C is used for higher that the highest grid value of temperature,
C if the Doppler width expressed in beta units (BETAD) is
C sufficiently large (> 10)
C
IF(X0.GT.1.01*XT(NT,ILINE).AND.BETAD.GT.10.) THEN
CALL DIVSTR(A,DIV)
W0=STARKA(BETA,A,DIV,TWO)*DBETA
W0=LOG10(W0)
GO TO 500
END IF
C
C Otherwise, normal inter- or extrapolation
C
C Both interpolations (in T as well as in electron density) are
C by default the quadratic interpolations in logarithms
C
DO IX=1,NT-1
IPX=IX
IF(X0.LE.XT(IX+1,ILINE)) GO TO 40
END DO
40 N0X=IPX-NX/2+1
IF(N0X.LT.1) N0X=1
IF(N0X.GT.NT-NX+1) N0X=NT-NX+1
N1X=N0X+NX-1
DO IX=N0X,N1X
I0=IX-N0X+1
XX(I0)=XT(IX,ILINE)
WX(I0)=PRF(IWL,IX,IZZ,ILINE)
END DO
IF(WX(1).LT.-99..OR.WX(2).LT.-99..OR.WX(3).LT.-99.) THEN
CALL DIVSTR(A,DIV)
W0=STARKA(BETA,A,DIV,TWO)*DBETA
W0=LOG10(W0)
GO TO 500
ELSE
WZ(I0Z)=YINT(XX,WX,X0)
END IF
300 CONTINUE
W0=YINT(ZZ,WZ,Z0)
500 CONTINUE
RETURN
END
C
C ********************************************************************
C
FUNCTION YINT(XL,YL,XL0)
C
C Quadratic interpolation routine
C
C Input: XL - array of x
C YL - array of f(x)
C XL0 - the point x(0) to which one interpolates
C
INCLUDE 'PARAMS.FOR'
DIMENSION XL(3),YL(3)
A0=(XL(2)-XL(1))*(XL(3)-XL(2))*(XL(3)-XL(1))
A1=(XL0-XL(2))*(XL0-XL(3))*(XL(3)-XL(2))
A2=(XL0-XL(1))*(XL(3)-XL0)*(XL(3)-XL(1))
A3=(XL0-XL(1))*(XL0-XL(2))*(XL(2)-XL(1))
YINT=(YL(1)*A1+YL(2)*A2+YL(3)*A3)/A0
RETURN
END
C
C ********************************************************************
C
C
SUBROUTINE HE1INI
C =================
C
C Initializes necessary arrays for evaluating the He I line
C absorption profiles using data calculated by Barnard, Cooper
C and Smith JQSRT 14, 1025, 1974 (for 4471)
C or Shamey, unpublished PhD thesis, 1969 (for other lines)
C
C This procedure is quite analogous to HYDINI for hydrogen lines
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
COMMON/PROHE1/PRFHE1(50,4,8,3),DLMHE1(50,8,3),XNEHE1(8),
* NWLAM(8,4)
COMMON/PRO447/PRF447(80,4,7),DLM447(80,7),XNE447(7)
DATA NT /4/
C
IH=67
OPEN(UNIT=IH,FILE='./data/he1prf.dat',STATUS='OLD')
C
C read the Barnard, Cooper, Smith tables for He I 4471 line,
C which have to be stored in file unit IH
C
NE=7
DO IE=1,NE
READ(IH,501) IL,WL0,IE1,XXNE,NWL
NWLAM(IE,1)=NWL
XNE447(IE)=LOG10(XXNE)
DO I=1,NWL
READ(IH,502) DLM447(I,IE),
* (PRF447(I,IT,IE),IT=1,NT)
END DO
END DO
C
C read Shamey's tables for He I 4387, 4026, and 4922 lines
C which have to be stored in file unit IH
C
NE=8
DO ILN=1,3
DO IE=1,NE
READ(IH,501) IL,WL0,IE1,XXNE,NWL
NWLAM(IE,ILN+1)=NWL
XNEHE1(IE)=LOG10(XXNE)
DO I=1,NWL
READ(IH,*) DLMHE1(I,IE,ILN),
* (PRFHE1(I,IT,IE,ILN),IT=1,NT)
END DO
END DO
END DO
CLOSE(IH)
C
501 FORMAT(/9X,I2,7X,F10.3,13X,I2,6X,E8.1,7X,I3/)
502 FORMAT(5E10.2)
RETURN
END
C
C ********************************************************************
C
FUNCTION WTOT(T,ANE,ID,ILINE)
C =============================
C
C Evaluates the total (electron + ion) impact Stark width
C for four HeI lines
C After Griem (1974); and Barnard, Cooper, Smith (1974) JQSRT 14,
C 1025 for the 4471 line
C
C Input: T - temperature
C ANE - electron density
C ID - depth index
C ILINE - index of the line ( = 1 for 4471,
C = 2 for 4387,
C = 3 for 4026,
C = 4 for 4922)
C Output: WTOT - Stark width in Angstroms
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
DIMENSION ALPH0(4,4),W0(4,4),ALAM0(4)
DATA ALPH0 / 0.107, 0.119, 0.134, 0.154,
* 0.206, 0.235, 0.272, 0.317,
* 0.172, 0.193, 0.218, 0.249,
* 0.121, 0.136, 0.157, 0.184/
DATA W0 / 1.460, 1.269, 1.079, 0.898,
* 6.130, 5.150, 4.240, 3.450,
* 4.040, 3.490, 2.960, 2.470,
* 2.312, 1.963, 1.624, 1.315/
DATA ALAM0 / 4471.50, 4387.93, 4026.20, 4921.93/
C
I=JT(ID)
ALPHA=(TI0(ID)*ALPH0(I,ILINE)+TI1(ID)*ALPH0(I-1,ILINE)+
* TI2(ID)*ALPH0(I-2,ILINE))*(ANE*1.E-13)**0.25
WE= (TI0(ID)*W0(I,ILINE)+TI1(ID)*W0(I-1,ILINE)+
* TI2(ID)*W0(I-2,ILINE))*ANE*1.E-16
F0=1.884E19/ALAM0(ILINE)/ALAM0(ILINE)
SIG=(4.32E-5*WE/SQRT(T)*F0/ANE**0.3333)**0.3333
WTOT=WE*(1.+1.36/SIG*ALPHA**0.8889)
RETURN
END
C
C ********************************************************************
C
FUNCTION EXTPRF(DLAM,IT,ILINE,ANEL,DLAST,PLAST)
C ===============================================
C
C Extrapolation in wavelengths in Shamey, or Barnard, Cooper,
C Smith tables
C Special formula suggested by Cooper
C
INCLUDE 'PARAMS.FOR'
DIMENSION W0(4,4)
DATA W0 / 1.460, 1.269, 1.079, 0.898,
* 6.130, 5.150, 4.240, 3.450,
* 4.040, 3.490, 2.960, 2.470,
* 2.312, 1.963, 1.624, 1.315/
C
WE=W0(IT,ILINE)*EXP(ANEL*2.3025851)*1.E-16
DLASTA=ABS(DLAST)
D52=DLASTA*DLASTA*SQRT(DLASTA)
F=D52*(PLAST-WE/3.14159/DLAST/DLAST)
EXTPRF=(WE/3.14159+F/SQRT(ABS(DLAM)))/DLAM/DLAM
RETURN
END
C
C ********************************************************************
C
FUNCTION PHE1(ID,FREQ,ILINE)
C ============================
C
C Absorption profile for four lines of He I, given by
C Barnard, Cooper, Smith (1974) JQSRT 14, 1025 for the 4471 line;
C Shamey (1969) PhD thesis, for other lines
C
C Input: ID - depth index
C FREQ - frequency
C ILINE - index of the line ( = 1 for 4471,
C = 2 for 4387,
C = 3 for 4026,
C = 4 for 4922)
C
C Output: PHE1 - profile coefficient in frequency units,
C normalized to sqrt(pi) [not unity]
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
PARAMETER (NT=4)
COMMON/PROHE1/PRFHE1(50,NT,8,3),DLMHE1(50,8,3),XNEHE1(8),
* NWLAM(8,NT)
COMMON/PRO447/PRF447(80,NT,7),DLM447(80,7),XNE447(7)
DIMENSION WLAM0(4),XT0(NT),XX(3),WX(3),YY(2),PP(2),ZZ(3),WZ(3)
DATA WLAM0 / 4471.50, 4387.93, 4026.20, 4921.93/
DATA XT0/ 3.699, 4.000, 4.301, 4.602/
C
C temperature is modified in order to account for the
C effect of turbulent velocity on the Doppler width
C
T=TEMP(ID)+2.42E-8*VTURB(ID)
TL=LOG10(T)
ANE=ELEC(ID)
ANEL=LOG10(ANE)
ALAM=2.997925E18/FREQ
DLAM=ALAM-WLAM0(ILINE)
DOPL=SQRT(4.125E7*T)*WLAM0(ILINE)/2.997925E10
C
IF(TL.GT.XT0(NT)+0.1) GO TO 5
IF(ILINE.EQ.1.AND.ANEL.GE.XNE447(1)) GO TO 10
IF(ILINE.NE.1.AND.ANEL.GE.XNEHE1(1)) GO TO 10
C
C isolated line approximation for low electron densities
C
5 A=WTOT(T,ANE,ID,ILINE)/DOPL
V=ABS(DLAM)/DOPL
V1=ABS(ALAM-4471.682)/DOPL
PHE1=VOIGTK(A,V)
IF(ILINE.EQ.1) PHE1=(8.*PHE1+VOIGTK(A,V1))/9.
RETURN
C
C otherwise, interpolation (or extrapolation) in tables
C
10 NX=3
NZ=3
NY=2
NE=8
ILNE=ILINE-1
IF(ILINE.EQ.1) NE=7
C
C Interpolation in electron density
C
DO JZ=1,NE-1
IPZ=JZ
IF(ILINE.EQ.1.AND.ANEL.LE.XNE447(JZ+1)) GO TO 30
IF(ILINE.NE.1.AND.ANEL.LE.XNEHE1(JZ+1)) GO TO 30
END DO
30 N0Z=IPZ-NZ/2+1
IF(N0Z.LT.1) N0Z=1
IF(N0Z.GT.NE-NZ+1) N0Z=NE-NZ+1
N1Z=N0Z+NZ-1
DO 300 JZ=N0Z,N1Z
I0Z=JZ-N0Z+1
IF(ILINE.EQ.1) ZZ(I0Z)=XNE447(JZ)
IF(ILINE.NE.1) ZZ(I0Z)=XNEHE1(JZ)
C
C Interpolation in temperature
C
DO IX=1,NT-1
IPX=IX
IF(TL.LE.XT0(IX+1)) GO TO 50
END DO
50 N0X=IPX-NX/2+1
IF(N0X.LT.1) N0X=1
IF(N0X.GT.NT-NX+1) N0X=NT-NX+1
N1X=N0X+NX-1
DO 200 IX=N0X,N1X
I0X=IX-N0X+1
XX(I0X)=XT0(IX)
C
C Interpolation in wavelength
C
C 1. For delta lambda beyond tabulated values - special
C extrapolation (Cooper's suggestion)
C
NLST=NWLAM(JZ,ILINE)
IF(ILINE.EQ.1) THEN
D1=DLM447(1,JZ)
D2=DLM447(NLST,JZ)
IF(DLAM.LT.D1) THEN
PRF0=EXTPRF(DLAM,IX,ILINE,ZZ(I0Z),D1,PRF447(1,IX,JZ))
GO TO 150
ELSE IF(DLAM.GT.D2) THEN
PRF0=EXTPRF(DLAM,IX,ILINE,ZZ(I0Z),D2,
* PRF447(NLST,IX,JZ))
GO TO 150
END IF
ELSE
D1=DLMHE1(1,JZ,ILNE)
D2=DLMHE1(NLST,JZ,ILNE)
IF(DLAM.LT.D1) THEN
PRF0=EXTPRF(DLAM,IX,ILINE,ZZ(I0Z),D1,
* PRFHE1(1,IX,JZ,ILNE))
GO TO 150
ELSE IF(DLAM.GT.D2) THEN
PRF0=EXTPRF(DLAM,IX,ILINE,ZZ(I0Z),D2,
* PRFHE1(NLST,IX,JZ,ILNE))
GO TO 150
END IF
END IF
C
C normal linear interpolation in wavelength
C (for 4471, linear interpolation in logarithms)
C
DO IY=1,NLST-1
IPY=IY
IF(ILINE.EQ.1.AND.DLAM.LE.DLM447(IY+1,JZ)) GO TO 70
IF(ILINE.NE.1.AND.DLAM.LE.DLMHE1(IY+1,JZ,ILNE))
* GO TO 70
END DO
70 N0Y=IPY-NY/2+1
IF(N0Y.LT.1) N0Y=1
IF(N0Y.GT.NLST-NY+1) N0Y=NLST-NY+1
N1Y=N0Y+NY-1
DO IY=N0Y,N1Y
I0=IY-N0Y+1
IF(ILINE.EQ.1) YY(I0)=DLM447(IY,JZ)
IF(ILINE.EQ.1) PP(I0)=LOG(PRF447(IY,IX,JZ))
IF(ILINE.NE.1) YY(I0)=DLMHE1(IY,JZ,ILNE)
IF(ILINE.NE.1) PP(I0)=PRFHE1(IY,IX,JZ,ILNE)
END DO
IF(ILINE.NE.1) THEN
WX(I0X)=(PP(2)*(DLAM-YY(1))+PP(1)*(YY(2)-DLAM))/
* (YY(2)-YY(1))
ELSE
WX(I0X)=(PP(2)*(DLAM-YY(1))+PP(1)*(YY(2)-DLAM))/
* (YY(2)-YY(1))
WX(I0X)=EXP(WX(I0X))
END IF
GO TO 200
150 WX(I0X)=PRF0
200 CONTINUE
WZ(I0Z)=YINT(XX,WX,TL)
300 CONTINUE
W0=YINT(ZZ,WZ,ANEL)
PHE1=W0*DOPL*1.772454
RETURN
END
C
C ********************************************************************
C
SUBROUTINE HE2INI
C =================
C
C Initializes necessary arrays for evaluating the He II line
C absorption profiles using data calculated by Schoening and
C Butler
C
C This procedure is quite analogous to HYDINI for hydrogen lines
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
COMMON/HE2PRF/PRFHE2(19,MDEPTH,36),WLHE2(19,36),NWLHE2(19),
* ILHE2(19),IUHE2(19)
COMMON/HE2DAT/WL2(36,19),XT2(6),XNE2(11,19),PRF2(36,6,11),
* NWL2,NT2,NE2
DATA NLINE1 /19/
C
IH=67
OPEN(UNIT=IH,FILE='./data/he2prf.dat',STATUS='OLD')
C
DO ILINE=1,NLINE1
C
C read the Schoening and Butler tables, which have to be stored
C in file he23prf.dat
C
READ(IH,501) ILHE2(ILINE),IUHE2(ILINE)
IF(ILHE2(ILINE).LE.2) THEN
WL00=227.838
ELSE
WL00=227.7776
END IF
WL0=WL00/(1./ILHE2(ILINE)**2-1./IUHE2(ILINE)**2)
READ(IH,*) NWL2,(WL2(I,ILINE),I=1,NWL2)
READ(IH,503) NT2,(XT2(I),I=1,NT2)
READ(IH,504) NE2,(XNE2(I,ILINE),I=1,NE2)
READ(IH,500)
NWLHE2(ILINE)=NWL2
C
DO I=1,NWL2
IF(WL2(I,ILINE).LT.1.E-4) WL2(I,ILINE)=1.E-4
WLHE2(ILINE,I)=LOG10(WL2(I,ILINE))
END DO
C
DO IE=1,NE2
DO IT=1,NT2
READ(IH,500)
READ(IH,505) (PRF2(IWL,IT,IE),IWL=1,NWL2)
END DO
END DO
C
C coefficient for the asymptotic profile is determined from
C the input data
C
XCLOG=PRF2(NWL2,1,1)+2.5*LOG10(WL2(NWL2,ILINE))+31.831-
* XNE2(1,ILINE)-2.*LOG10(WL0)
XKLOG=0.6666667*(XCLOG-0.176)
XK=EXP(XKLOG*2.3025851)
DO ID=1,ND
T=TEMP(ID)+2.42E-8*VTURB(ID)
ANE=ELEC(ID)
TL=LOG10(T)
ANEL=LOG10(ANE)
F00=1.25E-9*ANE**0.666666667
FXK=F00*XK
DOP=1.E8/WL0*SQRT(4.12E7*T)
DBETA=WL0*WL0/2.997925E18/FXK
BETAD=DBETA*DOP
C
C interpolation to the actual values of temperature and electron
C density. The result is stored at array PRFHE2, which has indices
C ILINE - index of line
C ID - depth index
C IWL - wavelength index (notice that the wavelength grid may
C generally be different for different lines
C
DO IWL=1,NWL2
CALL INTHE2(PROF,TL,ANEL,IWL,ILINE)
PRFHE2(ILINE,ID,IWL)=PROF
END DO
END DO
END DO
CLOSE(IH)
C
500 FORMAT(1X)
501 FORMAT(//14X,I2,9X,I2/)
c 502 FORMAT(2X,I4,1P6E10.3,4(/5X,0P6F10.4)/5X,5F10.4)
503 FORMAT(2X,I4,F10.3,5F12.3)
504 FORMAT(2X,I4,F10.2,5F12.2/4X,5F12.2)
505 FORMAT(10F8.3)
RETURN
END
C
C ********************************************************************
C
C
SUBROUTINE INTHE2(W0,X0,Z0,IWL,ILINE)
C =====================================
C
C Interpolation in temperature and electron density from the
C Schoening and Butler tables for He II lines to the actual
C actual values of temperature and electron density
C
C This procedure is quite analogous to INTHYD for hydrogen lines
C
INCLUDE 'PARAMS.FOR'
PARAMETER (UN=1.)
COMMON/HE2DAT/WL2(36,19),XT2(6),XNE2(11,19),PRF2(36,6,11),
* NWL2,NT2,NE2
DIMENSION ZZ(3),XX(3),WX(3),WZ(3)
C
NX=3
NZ=3
C
C for values lower than the lowest grid value of electron density
C the profiles are determined by the approximate expression
C (see STARKA); not by an extrapolation in the tables which may
C be very inaccurate
C
IF(Z0.LT.XNE2(1,ILINE)*0.99.OR.Z0.GT.XNE2(NE2,ILINE)*1.01) THEN
CALL DIVHE2(A,DIV)
W0=STARKA(WL2(IWL,ILINE)/FXK,A,DIV,UN)*DBETA
W0=LOG10(W0)
GO TO 500
END IF
C
C Otherwise, one interpolates (or extrapolates for higher than the
C highes grid value of electron density) in the Schoening and
C Butler tables
C
DO 10 IZZ=1,NE2-1
IPZ=IZZ
IF(Z0.LE.XNE2(IZZ+1,ILINE)) GO TO 20
10 CONTINUE
20 N0Z=IPZ-NZ/2+1
IF(N0Z.LT.1) N0Z=1
IF(N0Z.GT.NE2-NZ+1) N0Z=NE2-NZ+1
N1Z=N0Z+NZ-1
C
DO 300 IZZ=N0Z,N1Z
I0Z=IZZ-N0Z+1
ZZ(I0Z)=XNE2(IZZ,iline)
C
C Likewise, the approximate expression instead of extrapolation
C is used for higher that the highest grid value of temperature,
C if the Doppler width expressed in beta units (BETAD) is
C sufficiently large (> 10)
C
IF(X0.GT.1.01*XT2(NT2).AND.BETAD.GT.10.) THEN
W0=STARKA(WL2(IWL,ILINE)/FXK,A,DIV,UN)*DBETA
W0=LOG10(W0)
GO TO 500
END IF
C
C Otherwise, normal inter- or extrapolation
C
C Both interpolations (in T as well as in electron density) are
C by default the quadratic interpolations in logarithms
C
DO 30 IX=1,NT2-1
IPX=IX
IF(X0.LE.XT2(IX+1)) GO TO 40
30 CONTINUE
40 N0X=IPX-NX/2+1
IF(N0X.LT.1) N0X=1
IF(N0X.GT.NT2-NX+1) N0X=NT2-NX+1
N1X=N0X+NX-1
DO 200 IX=N0X,N1X
I0=IX-N0X+1
XX(I0)=XT2(IX)
WX(I0)=PRF2(IWL,IX,IZZ)
200 CONTINUE
WZ(I0Z)=YINT(XX,WX,X0)
300 CONTINUE
W0=YINT(ZZ,WZ,Z0)
500 CONTINUE
RETURN
END
C
C ********************************************************************
C
C
SUBROUTINE DIVHE2(A,DIV)
C ========================
C
C Auxiliary procedure for evaluating approximate Stark profile
C for He II lines
C This procedure is quite analogous to DIVSTR for hydrogen;
C the only difference is a somewhat different definition
C of the parameter A ,ie. A for He II is equal to A for hydrogen
C minus ln(2)
C
INCLUDE 'PARAMS.FOR'
PARAMETER (UN=1.,TWO=2.,UNQ=1.25,UNH=1.5,TWH=2.5,FO=4.,FI=5.)
PARAMETER (CA=0.978,BL=5.821,AL=1.26,CX=0.28,DX=0.0001)
C
A=UNH*LOG(BETAD)-CA
IF(BETAD.LT.BL) RETURN
IF(A.GE.AL) THEN
X=SQRT(A)*(UN+UNQ*LOG(A)/(FO*A-FI))
ELSE
X=SQRT(CX+A)
ENDIF
DO 10 I=1,5
XN=X*(UN-(X*X-TWH*LOG(X)-A)/(TWO*X*X-TWH))
IF(ABS(XN-X).LE.DX) GO TO 20
X=XN
10 CONTINUE
20 DIV=X
RETURN
END
C
C ********************************************************************
C
C
SUBROUTINE PHE2(ISPEC,ID,ABLIN,EMLIN)
C =====================================
C
C Evaluation of the opacity and emissivity in a given He II line,
C using profile coefficients calculated by Schoening and Butler.
C
C Input: ISPEC - line index, defined in HE2INI
C ID - depth index
C Output: ABLIN - absorption coefficient
C EMLIN - emission coefficient
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
DIMENSION ABLIN(1),EMLIN(1),OSCHE2(19),PRF0(40),WLL(40)
COMMON/HE2PRF/PRFHE2(19,MDEPTH,36),WLHE2(19,36),NWLHE2(19),
* ILHE2(19),IUHE2(19)
common/lasers/lasdel
DATA OSCHE2/6.407E-1, 1.506E-1, 5.584E-2, 2.768E-2,
* 1.604E-2, 1.023E-2, 6.980E-3,
* 8.421E-1, 3.230E-2, 1.870E-2, 1.196E-2, 8.187E-3,
* 5.886E-3, 4.393E-3, 3.375E-3, 2.656E-3,
* 1.038, 1.793E-1, 6.549E-2/
C
C ILINE - line index
C
ILINE=ISPEC-5
C
DO 10 IWL=1,NWLHE2(ILINE)
PRF0(IWL)=PRFHE2(ILINE,ID,IWL)
WLL(IWL)=WLHE2(ILINE,IWL)
10 CONTINUE
C
I=ILHE2(ILINE)
J=IUHE2(ILINE)
II=I*I
JJ=J*J
IF(I.LE.2) THEN
WLIN=227.838/(1./II-1./JJ)
ELSE
WLIN=227.7776/(1./II-1./JJ)
END IF
T=TEMP(ID)
C
C He III population (either LTE or NLTE, depending on input model)
C
IF(IELHE2.GT.0.and.inlte.gt.0) THEN
PP=POPUL(NNEXT(IELHE2),ID)
NLHE2=NLAST(IELHE2)-NFIRST(IELHE2)+1
ELSE
PP=RRR(ID,3,2)
NLHE2=0
END IF
C
C population of the lower level of the given transition
C (again either LTE or NLTE)
C
PP=PP*ELEC(ID)*4.1412E-16/T/SQRT(T)*II
IF(I.LE.NLHE2.and.inlte.gt.0) THEN
POPI=POPUL(NFIRST(IELHE2)+I-1,ID)
ELSE
POPI=PP*EXP(631479./T/II)
END IF
C
C population of the upper level of the given transition
C (again either LTE or NLTE)
C
IF(J.LE.NLHE2) THEN
POPJ=POPUL(NFIRST(IELHE2)+J-1,ID)*II/JJ
ELSE
POPJ=PP*EXP(631479./T/JJ)
END IF
C
C loop over frequency points - opacity and emissivity in the given line
C absorption coefficent is found by interpolating in previously
C calculated tables, based on calculations of Schoening and Butler
C (see procedure HE2INI)
C
FID=0.02654*OSCHE2(ILINE)
DO 50 IJ=3,NFREQ
AL=ABS(WLAM(IJ)-WLIN)
IF(AL.LT.1.E-4) AL=1.E-4
AL=LOG10(AL)
DO 20 IWL=1,NWLHE2(ILINE)-1
IW0=IWL
IF(AL.LE.WLL(IWL+1)) GO TO 30
20 CONTINUE
30 IW1=IW0+1
PRH=(PRF0(IW0)*(WLL(IW1)-AL)+PRF0(IW1)*(AL-WLL(IW0)))/
* (WLL(IW1)-WLL(IW0))
SG=EXP(PRH*2.3025851)*FID
if((popi-popj).le.0. .and. lasdel) goto 50
ABLIN(IJ)=ABLIN(IJ)+SG*(POPI-POPJ)
EMLIN(IJ)=EMLIN(IJ)+SG*POPJ*1.4747E-2*(FREQ(IJ)*1.E-15)**3
50 CONTINUE
RETURN
END
C
C ********************************************************************
C
C
FUNCTION ISPEC(IAT,ION,ALAM)
C ============================
C
C Auxiliary procedure for INISET
C
C Input: IAT - atomic number
C ION - ion (=1 for neutrals, =2 for once ionized, etc.)
C ALAM - wavelength in nanometers
C Output: ISPEC - parameter specifying whether the given line
C is taken with a special (pretabulated) absorption
C profile - only for hydrogen and helium
C = 0 - profile is taken as an ordinary Voigt profile
C > 0 - special profile
C
INCLUDE 'PARAMS.FOR'
C
ISPEC=0
IF(IAT.GT.2) RETURN
C
IF(IAT.EQ.1) THEN
ISPEC=1
RETURN
ELSE
IF(ION.EQ.1) THEN
IF(ABS(ALAM-447.1).LT.0.5.AND.IHE1PR.GT.0) ISPEC=2
IF(ABS(ALAM-438.8).LT.0.2.AND.IHE1PR.GT.0) ISPEC=3
IF(ABS(ALAM-402.6).LT.0.2.AND.IHE1PR.GT.0) ISPEC=4
IF(ABS(ALAM-492.2).LT.0.2.AND.IHE1PR.GT.0) ISPEC=5
ELSE
C
IF(ALAM.LT.163..OR.ALAM.GT.1012.7) RETURN
IF(ALAM.LT.321.) THEN
IF(ABS(ALAM-164.0).LT.0.2.AND.IHE2PR.GT.0) ISPEC=6
IF(ABS(ALAM-320.3).LT.0.2.AND.IHE2PR.GT.0) ISPEC=7
IF(ABS(ALAM-273.3).LT.0.2.AND.IHE2PR.GT.0) ISPEC=8
IF(ABS(ALAM-251.1).LT.0.2.AND.IHE2PR.GT.0) ISPEC=9
IF(ABS(ALAM-238.5).LT.0.2.AND.IHE2PR.GT.0) ISPEC=10
IF(ABS(ALAM-230.6).LT.0.2.AND.IHE2PR.GT.0) ISPEC=11
IF(ABS(ALAM-225.3).LT.0.2.AND.IHE2PR.GT.0) ISPEC=12
ELSE IF(ALAM.LT.541.) THEN
IF(ALAM.LT.392.3) RETURN
IF(ABS(ALAM-468.6).LT.0.2.AND.IHE2PR.GT.0) ISPEC=13
IF(ABS(ALAM-485.9).LT.0.2.AND.IHE2PR.GT.0) ISPEC=14
IF(ABS(ALAM-454.2).LT.0.2.AND.IHE2PR.GT.0) ISPEC=15
IF(ABS(ALAM-433.9).LT.0.2.AND.IHE2PR.GT.0) ISPEC=16
IF(ABS(ALAM-420.0).LT.0.2.AND.IHE2PR.GT.0) ISPEC=17
IF(ABS(ALAM-410.0).LT.0.2.AND.IHE2PR.GT.0) ISPEC=18
IF(ABS(ALAM-402.6).LT.0.2.AND.IHE2PR.GT.0) ISPEC=19
IF(ABS(ALAM-396.8).LT.0.2.AND.IHE2PR.GT.0) ISPEC=20
IF(ABS(ALAM-392.3).LT.0.2.AND.IHE2PR.GT.0) ISPEC=21
ELSE
IF(ABS(ALAM-1012.4).LT.0.2.AND.IHE2PR.GT.0) ISPEC=22
IF(ABS(ALAM-656.0).LT.0.2.AND.IHE2PR.GT.0) ISPEC=23
IF(ABS(ALAM-541.2).LT.0.2.AND.IHE2PR.GT.0) ISPEC=24
END IF
END IF
END IF
RETURN
END
C
C
C ******************************************************************
C
C
SUBROUTINE HESET(IL,ALM,EXCL,EXCU,ION,IPRF0,ILWN,IUPN)
C ======================================================
C
C Auxiliary procedure for INISET - set up quantities:
C IPRF0 - index for the procedure evaluating standard absorption
C profile coefficient for He I lines - see GAMHE
C ILWN,IUPN - only in NLTE option is switched on;
C indices of the lower and upper level associated with
C the given line
C
C Input: IL - line index
C ALM - line wavelength in nm
C EXCL - excitation potential of the lower level (in cm**-1)
C EXCU - excitation potential of the upper level (in cm**-1)
C ION - ionisation degree (1=neutrals, 2=once ionized, etc.)
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
DIMENSION JU(24),NU(24),IT(24)
DATA IT/1,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0/
DATA NU/6,6,9,3,8,4,7,5,6,6,5,4,4,4,3,4,3,3,5,5,7,8,10,2/
DATA JU/15,3,5,9,5,3,5,3,5,1,1,15,3,5,3,1,15,5,15,5,1,1,1,9/
C
C ******* He I ***********
C
IF(ION.NE.1) GO TO 20
C
C switch IPRF0 - see GAMHE
C
IL1=IL
ALAM=ALM*10.
IPRF=0
IF(ABS(ALAM-3819.60).LT.1.) IPRF=1
IF(ABS(ALAM-3867.50).LT.1.) IPRF=2
IF(ABS(ALAM-3871.79).LT.1.) IPRF=3
IF(ABS(ALAM-3888.65).LT.1.) IPRF=4
IF(ABS(ALAM-3926.53).LT.1.) IPRF=5
IF(ABS(ALAM-3964.73).LT.1.) IPRF=6
IF(ABS(ALAM-4009.27).LT.1.) IPRF=7
IF(ABS(ALAM-4120.80).LT.1.) IPRF=8
IF(ABS(ALAM-4143.76).LT.1.) IPRF=9
IF(ABS(ALAM-4168.97).LT.1.) IPRF=10
IF(ABS(ALAM-4437.55).LT.1.) IPRF=11
IF(ABS(ALAM-4471.50).LT.1.) IPRF=12
IF(ABS(ALAM-4713.20).LT.1.) IPRF=13
IF(ABS(ALAM-4921.93).LT.1.) IPRF=14
IF(ABS(ALAM-5015.68).LT.1.) IPRF=15
IF(ABS(ALAM-5047.74).LT.1.) IPRF=16
IF(ABS(ALAM-5875.70).LT.1.) IPRF=17
IF(ABS(ALAM-6678.15).LT.1.) IPRF=18
IF(ABS(ALAM-4026.20).LT.1.) IPRF=19
IF(ABS(ALAM-4387.93).LT.1.) IPRF=20
IF(ABS(ALAM-4023.97).LT.1.) IPRF=21
IF(ABS(ALAM-3935.91).LT.1.) IPRF=22
IF(ABS(ALAM-3833.55).LT.1.) IPRF=23
IF(ABS(ALAM-10830.0).LT.1.) IPRF=24
IF(IPRF.GT.0.AND.IPRF.LE.20) IPRF0=IPRF
C
C Indices of NLTE levels associated with the given line
C
IF(INLTE.gt.5.OR.IELHE1.EQ.0) RETURN
N0I=NFIRST(IELHE1)
N1I=NLAST(IELHE1)
HC=CL*H
EION=ENION(N0I)/HC
ILW=0
IUN=0
NQL=0
IF(IPRF.GT.0) NQL=NU(IPRF)
DO 10 I=N0I,N1I
NQ=NQUANT(I)
EX=EION-ENION(I)/HC
IF(ABS(EXCL-EX).LT.100.) THEN
ILW=I
IGL=INT(G(I)+0.001)
END IF
IF(NQ.EQ.NQL) THEN
IG=INT(G(I)+0.001)
IF(IT(IPRF).EQ.0) THEN
IF(NQ.EQ.2.AND.IG.EQ.JU(IPRF)) IUN=I
IF(NQ.EQ.3) THEN
IF(IG.EQ.JU(IPRF)) THEN
IF(IG.EQ.1.OR.IG.EQ.5) IUN=I
IF(IG.EQ.3.AND.IGL.EQ.1) IUN=I
ELSE
IF(IG.EQ.9) IUN=I
END IF
END IF
IF(NQ.EQ.4) THEN
IF(IG.EQ.JU(IPRF)) THEN
IF(IG.EQ.1.OR.IG.EQ.5.OR.IG.EQ.7) IUN=I
IF(IG.EQ.3.AND.IGL.EQ.1) IUN=I
ELSE
IF(IG.EQ.16) IUN=I
END IF
END IF
IF(IG.EQ.25.OR.IG.EQ.36) IUN=I
IF(IG.EQ.49.OR.IG.EQ.64.OR.IG.EQ.81) IUN=I
IF(IG.EQ.100.OR.IG.EQ.121.OR.IG.EQ.144) IUN=I
ELSE
IF(NQ.EQ.3) THEN
IF(IG.EQ.JU(IPRF)) THEN
IF(IG.EQ.9.OR.IG.EQ.15) IUN=I
IF(IG.EQ.3.AND.IGL.EQ.9) IUN=I
ELSE
IF(IG.EQ.27) IUN=I
END IF
END IF
IF(NQ.EQ.4) THEN
IF(IG.EQ.JU(IPRF)) THEN
IF(IG.EQ.9.OR.IG.EQ.15.OR.IG.EQ.21) IUN=I
IF(IG.EQ.3.AND.IGL.EQ.9) IUN=I
ELSE
IF(IG.EQ.48) IUN=I
END IF
END IF
IF(IG.EQ.75) IUN=I
IF(IG.EQ.108.OR.IG.EQ.147.OR.IG.EQ.192) IUN=I
IF(IG.EQ.243.OR.IG.EQ.300.OR.IG.EQ.363) IUN=I
END IF
IF(NQ.EQ.2.AND.IG.EQ.16) IUN=I
IF(NQ.EQ.3.AND.IG.EQ.36) IUN=I
IF(NQ.EQ.4.AND.IG.EQ.64) IUN=I
IF(NQ.EQ.5.AND.IG.EQ.100) IUN=I
IF(NQ.EQ.6.AND.IG.EQ.144) IUN=I
IF(NQ.EQ.7.AND.IG.EQ.196) IUN=I
IF(NQ.EQ.8.AND.IG.EQ.256) IUN=I
IF(NQ.EQ.9.AND.IG.EQ.324) IUN=I
IF(NQ.EQ.10.AND.IG.EQ.400) IUN=I
END IF
10 CONTINUE
c print *, 'il,iprof,ilw,iupn',il,iprf,ilw,iun
ILWN=ILW
IUPN=IUN
C
C ******* He II ***********
C
20 IF(ION.NE.2.OR.IELHE2.LE.0) RETURN
N0I=NFIRST(IELHE2)
NLHE2=NLAST(IELHE2)-N0I+1
XL=SQRT(1./(1.-EXCL/438916.146))
ILW=INT(XL)
IF((FLOAT(ILW)-XL).LT.0.) ILW=ILW+1
XU=SQRT(1./(1.-EXCU/438916.146))
IUN=INT(XU)
IF((FLOAT(IUN)-XU).LT.0.) IUN=IUN+1
IF(ILW.LE.NLHE2) ILWN=ILW+N0I-1
IF(IUN.LE.NLHE2) IUPN=IUN+N0I-1
RETURN
END
C
C
C ********************************************************************
C
SUBROUTINE INISET
C =================
C
C SELECTION OF LINES THAT MAY CONTRIBUTE,
C SET UP AUXILIARY FIELDS CONTAINING LINE PARAMETERS,
C SET UP THE SET OF FREQUENCY POINTS
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
INCLUDE 'LINDAT.FOR'
INCLUDE 'WINCOM.FOR'
COMMON/LIMPAR/ALAM0,ALAM1,FRMIN,FRLAST,FRLI0,FRLIM
COMMON/BLAPAR/RELOP,SPACE0,CUTOF0,TSTD,DSTD,ALAMC
COMMON/CTRFUN/CINT1(MDEPTH),CINT2(MDEPTH),
* CTRI(MDEPTH),CTRR(MDEPTH),XKAR(MDEPTH),
* ABXLI(MFREQ),EMXLI(MFREQ),IJCTR(MFREQ)
SAVE ILLAST
C
DATA CNM,CAS /2.997925D17,2.997925D18/
c DATA C1,C2,C3 /2.3025851, 4.2014672, 1.4387886/
C
DO 10 I=1,MFRQ
W(I)=0.
IJCTR(I)=0
10 CONTINUE
C
IL0=0
IPRSET=0
NLIN=0
IREADP=1
IRLIST=0
IF(IBLANK.LE.1.OR.IMODE.EQ.1.OR.IMODE.EQ.-1) IREADP=0
IF(IBLANK.LE.1) APREV=0.
FRMIN=CNM/ALAM0
FRM=FRMIN
if(ifwin.le.0) then
ij0=3
else
ij0=1
end if
IJ=IJ0
FREQ(IJ0)=FRM
SPACE=SPACE0
IF(ALAMC.GT.0.) SPACE=SPACE0*ALAM0/ALAMC
IF(SPACE0.LT.0.) SPACE=-SPACE0
IF(IMODE.EQ.2) THEN
NFRP=NFREQS+1
W0=SPACE
GO TO 105
END IF
C
ISTR=0
IJMAX=0
IMOD1L=0
if(ifwin.le.0) then
CUTOFF=CUTOF0
DOPSTD=1.E7/ALAM0*DSTD
DISTAN=0.15*DOPSTD
SPAC=3.E16/ALAM0/ALAM0*SPACE
DISTA0=0.14*SPAC
ASTD=1.0
AVAB=ABSTD(IDSTD)*RELOP
end if
FRLI0=FRMIN
IF(IBLANK.GE.2.AND.IMODE.EQ.-1) IL0=ILLAST
C
20 CONTINUE
C
C set up indices of lines
C IL0 - is the current index of line in the numbering of all lines
C
IF(IREADP.EQ.1) THEN
IPRSET=IPRSET+1
IL0=INDLIP(IPRSET)
IF(FREQ0(IL0).LT.FRMIN) THEN
IREADP=0
IL0=INDLIP(IPRSET-1)+1
END IF
ELSE
IL0=IL0+1
END IF
IF(IL0.GT.NLIN0) GO TO 210
FRLIM=FRLI0
FR0=FREQ0(IL0)
ALAM=CNM/FR0
C
if(ifwin.gt.0) then
IF(ALAMC.GT.0.) SPACE=SPACE0*ALAM/ALAMC
IF(SPACE0.LT.0.) SPACE=-SPACE0
CUTOFF=CUTOF0*ALAM/ALAMC
DOPSTD=1.E7/ALAM*DSTD
DISTAN=0.15*DOPSTD
SPAC=SPACE
IF(MOD(IFREQ,10).GT.0) SPAC=3.E16/ALAM/ALAM*SPACE
DISTA0=0.14*SPAC
end if
C
C set up a different starting wavelength for IMODE=1
C
IF(IMODE.NE.1) GO TO 45
IF(ISTR.EQ.1.OR.IJ.NE.3) GO TO 45
IF(ALAM.LT.ALAM0+2.*CUTOFF) GO TO 45
ALAM0=ALAM-CUTOFF+0.0001
FRMIN=CNM/ALAM0
FRM=FRMIN
IJ=IJ0
FREQ(IJ0)=FRM
45 CONTINUE
IF(ALAM.LT.ALAM0-CUTOFF) GO TO 20
IF(IJ.LT.NFREQS+1) GO TO 50
IF(ALAM.GT.ALAM1+CUTOFF) GO TO 210
C
C SECOND SELECTION : FOR LINE STRENGHTS
C
50 CONTINUE
ISTR=0
IF(IMODE.GE.1) THEN
ISTR=1
ELSE
EXT=EXTIN(IL0)
FRLI0=FR0-EXT-SPAC
IF(FRLI0.GT.FRLIM) FRLI0=FRLIM
frmiv=frmin
if(ifwin.gt.0) frmiv=frmiv*(1.+vinf/2.997925e10)
IF(ALAM.LT.ALAM0.AND.FR0-FRMIv.GT.EXT+SPAC) GO TO 20
ISTR=1
frmav=frmax
if(ifwin.gt.0) frmav=frmav*(1.-vinf/2.997925e10)
IF(IJ.GE.NFREQS+1.AND.FRMAv-FR0.GT.EXT+SPAC) GO TO 20
END IF
C
NLIN=NLIN+1
if(nlin.gt.mlin) call quit(' too many lines in a set')
INDLIN(NLIN)=IL0
ALAMCU=ALAM+CUTOFF
C
C FREQUENCY POINTS AND WEIGHTS
C
IF(IJ.GE.NFREQS+1) GO TO 20
IF(FR0.GT.FRMIN) GO TO 20
100 DELT=ABS(FRM-FR0)
IF(DELT.LT.DISTA0.AND.IMODE.NE.1) GO TO 20
DFREL=CNM*(1.D0/FR0-1.D0/FRM)/SPACE
NFRP=int(DFREL)+1
IF(NFRP.LE.2) NFRP=2
W0=CNM*(1.D0/FR0-1.D0/FRM)/NFRP
FRM=FR0
105 FRACT=FREQ(IJ)
ALACT=CNM/FRACT
C
DO 110 K=1,NFRP
FRACT=FRACT-W0
ALACT=ALACT+W0
IF(IMODE.GE.1.OR.NFRP.EQ.2) GO TO 107
IF(FRACT.LT.FRLIM.AND.FRACT.GT.FR0+EXT+SPAC) GO TO 110
107 IJ=IJ+1
IF(IJ.GT.NFREQS) GO TO 130
FREQ(IJ)=CNM/ALACT
W(IJ)=W(IJ)+(FREQ(IJ-1)-FREQ(IJ))*0.5
W(IJ-1)=W(IJ-1)+(FREQ(IJ-1)-FREQ(IJ))*0.5
C IF(FREQ(IJ).LT.FRLAST) GO TO 220
IF(IMODE.EQ.1.AND.ALACT.GT.ALAMCU) GO TO 140
110 CONTINUE
IJCTR(IJ)=IL0
IF(IMOD1L.EQ.1) GO TO 210
DISTA0=DISTAN
GO TO 20
C
130 FRMAX=FREQ(NFREQS)
ALAM1=CNM/FRMAX
NFREQ=NFREQS
IF(IMODE.EQ.2) GO TO 210
IF(IMOD1L.EQ.1) GO TO 210
GO TO 20
C
140 IJMAX=IJ
IJMAX=MIN(IJMAX,NFREQS)
NFREQ=IJMAX
IF(IL0.LT.NLIN0) THEN
NBLANK=IBLANK+1
ELSE
NBLANK=IBLANK
END IF
GO TO 240
C
210 NBLANK=IBLANK+1
IF(IJ.GE.NFREQS+1) GO TO 230
IJMAX=IJ
IJMAX=MIN(IJMAX,NFREQS)
NFREQ=IJMAX
IF(IMODE.NE.1) GO TO 240
IF(IMOD1L.EQ.1) GO TO 240
C FR0=MAX(CNM/(ALAM+CUTOFF),FRLAST*0.99999999D0)
FR0=FRLAST*0.99999999D0
ALAM=CNM/FR0
IMOD1L=1
GO TO 100
C
230 IJMAX=NFREQS
NFREQ=NFREQS
240 IF(FREQ(IJMAX).LE.FRLAST) NBLANK=IBLANK
if(alm00.gt.0.) then
if(freq(ijmax).ge.0.999999*cnm/alm00.and.iblank.gt.1)
* nblank=iblank
end if
c
c correction for molecular lines
c
if(nmlist.gt.0.and.ifmol.gt.0) then
do ilist=1,nmlist
if(alastm(ilist).gt.0..and.alastm(ilist).le.alact) then
nblank=iblank
irlist=1
c write(*,*) 'iniset mol',ilist,alastm(ilist),alam
end if
end do
end if
c
if(ifwin.le.0) then
FREQ(1)=FREQ(3)
FREQ(2)=FREQ(IJMAX)
W(1)=0.5*(FREQ(1)-FREQ(2))
W(2)=W(1)
end if
C
C truncate the interval if the required end is reached
C
ijmx=2
if(ifwin.gt.0) ijmx=ijmax
IF(FREQ(ijmx).LT.FRLAST) THEN
FREQ(ijmx)=FRLAST
if(ifwin.le.0) then
W(1)=0.5*(FREQ(1)-FREQ(2))
W(2)=W(1)
end if
DO 245 IJ=IJ0,NFREQ
IF(FREQ(IJ).LT.FRLAST) GO TO 247
IJMAX=IJ
245 CONTINUE
247 NFREQ=IJMAX+1
FREQ(NFREQ)=FRLAST
W(NFREQ)=0.5*(FREQ(NFREQ-1)-FREQ(NFREQ))
W(NFREQ-1)=W(NFREQ)+0.5*(FREQ(NFREQ-2)-FREQ(NFREQ-1))
END IF
C
C frequency interpolation coefficients
C
IF(IMODE.NE.-1) THEN
if(ifwin.le.0) then
XX=FREQ(2)-FREQ(1)
DO IJ=1,NFREQ
WLAM(IJ)=2.997925E18/FREQ(IJ)
FRX1(IJ)=(FREQ(IJ)-FREQ(1))/XX
FRX2(IJ)=(FREQ(2)-FREQ(IJ))/XX
END DO
else
DO IJ=1,NFREQ
WLAM(IJ)=CAS/FREQ(IJ)
frqobs(ij)=freq(ij)
wlobs(ij)=wlam(ij)
fr=freq(ij)
BNUE(IJ)=BN*fr*fr*fr
DO IJCI=1,NFREQC-1
IF(WLAM(IJ).LE.WLAMC(IJCI)) GO TO 248
END DO
248 CONTINUE
IJC=IJCI
IJCINT(IJ)=MAX(IJC-1,1)
IJCI=IJCINT(IJ)
FRX1(IJ)=(FREQ(IJ)-FREQC(IJCI+1))/
* (FREQC(IJCI)-FREQC(IJCI+1))
END DO
nfrobs=nfreq
xx=freq(nfreq)-freq(1)
end if
c
c frequency indices of the line centers
c
DFRCON=NFREQ-ij0
DFRCON=-DFRCON/XX
IFRCON=INT(DFRCON)
DO 255 IL=1,NLIN
fr0=freq0(indlin(il))
XJC=3.+DFRCON*(FREQ(1)-FR0)
IJC=INT(XJC)
IJCNTR(IL)=IJC
if(ijc.le.ij0.or.ijc.ge.nfreq) go to 255
if(fr0.lt.freq(ijc)) then
ijc0=ijc
dfr0=freq(ijc0)-fr0
252 ijc0=ijc0+1
dfr=abs(freq(ijc0)-fr0)
if(dfr.lt.dfr0) then
ijc=ijc0
ijc0=ijc0+1
dfr0=dfr
go to 252
end if
else if(fr0.gt.freq(ijc)) then
ijc0=ijc
dfr0=fr0-freq(ijc0)
254 ijc0=ijc0-1
dfr=abs(freq(ijc0)-fr0)
if(dfr.lt.dfr0) then
ijc=ijc0
ijc0=ijc0-1
dfr0=dfr
go to 254
end if
end if
IJCNTR(IL)=IJC
255 continue
END IF
C
if(ifwin.gt.0) then
C
c set up switches for hydrogen and He II line opacity
c
DO IJ=1,NFREQ
call hylsew(ij)
call he2sew(ij)
end do
end if
C
NSP=0
DO 260 IL=1,NLIN
IL0=INDLIN(IL)
ISP=ISPRF(IL0)
IF(ISP.GT.5) THEN
NSP=NSP+1
ISP0(NSP)=ISP
END IF
INDLIP(IL)=INDLIN(IL)
260 CONTINUE
if(ifwin.le.0) then
ILLAST=INDLIN(NLIN)
else
ILLAST=0
IF(NLIN.GT.0) ILLAST=INDLIN(NLIN)
end if
C
CALL READPH
C
IF(ALAM0.LE.APREV+0.001) NBLANK=IBLANK
APREV=ALAM0
ALAM0=ALAM1
ALM00=CNM/FREQ(NFREQ)
c
c write(6,611) iblank,nblank,irlist,aprev*10.,alam0*10.
c 611 format('inis ',2i6,i3,3f10.3)
RETURN
END
C
C ********************************************************************
C
C
SUBROUTINE READPH
C =================
C
C Auxiliary routine for LINSET - read table of detailed
C photoinization cross-section from unit IPHT1,
C and interpolate to the set of current wavelengths (WLAM)
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
INCLUDE 'LINDAT.FOR'
COMMON/PHOTCS/PHOT(MFRQ,MPHOT),WPHT0,WPHT1,APHT(MPHOT),
* EPHT(MPHOT),GPHT(MPHOT),JPHT(MPHOT),
* NPHT
DIMENSION PHT0(MPHOT),PHT1(MPHOT),IPHT(MPHOT),IEND(MPHOT),
* IFILE(MPHOT),NELEM(MPHOT),INDEX(MPHOT,MPHOT)
PARAMETER (IPHT0=57)
SAVE IPHT,IEND,NELEM,INDEX,NUMFIL
C
C initialization - read basic information about files where the
C cross-sections are stored,
C and basic parameters for starting levels
C
IF(IBLANK.LE.1) THEN
NPHT=0
IPHT1=0
NUMFIL=0
DO 10 IJ=1,MFRQ
DO 10 I=1,MPHOT
10 PHOT(IJ,I)=0.
READ(IPHT0,*,END=50,err=50) NPHT
IF(NPHT.LE.0) RETURN
npht1=npht
READ(IPHT0,*,END=50) (IPHT(I),I=1,NPHT)
READ(IPHT0,*,END=50) (APHT(I),I=1,NPHT)
READ(IPHT0,*,END=50) (EPHT(I),I=1,NPHT)
READ(IPHT0,*,END=50) (GPHT(I),I=1,NPHT)
READ(IPHT0,*,END=50) (JPHT(I),I=1,NPHT)
C
C determination of the number of files (NFILE) and the
C partitioning of the individual cross-section to the corresponding
C files
C
NUMFIL=1
IFILE(1)=1
NELEM(1)=1
INDEX(1,1)=1
IF(NPHT.GT.1) THEN
DO 30 I=2,NPHT
DO 20 J=1,I-1
IF(IPHT(I).EQ.IPHT(J)) THEN
IFILE(I)=IFILE(J)
NELEM(IFILE(I))=NELEM(IFILE(I))+1
INDEX(IFILE(I),NELEM(IFILE(I)))=I
GO TO 30
END IF
20 CONTINUE
NUMFIL=NUMFIL+1
IFILE(I)=NUMFIL
NELEM(NUMFIL)=1
INDEX(NUMFIL,1)=I
30 CONTINUE
END IF
DO 40 IFIL=1,NUMFIL
IEND(IFIL)=0
40 CONTINUE
END IF
50 IF(NUMFIL.LE.0) RETURN
c
C loop over individual files containing the photoionization data
C
DO 300 IFIL=1,NUMFIL
IF(IEND(IFIL).EQ.1) GO TO 200
IF(IEND(IFIL).EQ.2) GO TO 300
NPHT1=NELEM(IFIL)
IPHT1=IPHT(INDEX(IFIL,1))
IF(IBLANK.LE.1) THEN
110 READ(IPHT1,*,END=200) WPHT1,(PHT1(I),I=1,NPHT1)
IF(WPHT1.LT.WLAM(1)) GO TO 110
BACKSPACE(IPHT1)
BACKSPACE(IPHT1)
READ(IPHT1,*,END=200) WPHT0,(PHT0(I),I=1,NPHT1)
ELSE
BACKSPACE(IPHT1)
BACKSPACE(IPHT1)
READ(IPHT1,*,END=200) WPHT0,(PHT0(I),I=1,NPHT1)
READ(IPHT1,*,END=200) WPHT1,(PHT1(I),I=1,NPHT1)
END IF
DW=WPHT1-WPHT0
A1=(WPHT1-WLAM(3))/DW
A2=(WLAM(3)-WPHT0)/DW
DO 130 I=1,NPHT1
INDX=INDEX(IFIL,I)
PHOT(1,INDX)=0.
PHOT(2,INDX)=0.
PHOT(3,INDX)=(A1*PHT0(I)+A2*PHT1(I))*1.E-18
DO 130 IJ=4,MFRQ
PHOT(IJ,INDX)=0.
130 CONTINUE
DO 190 IJ=4,MFRQ
IF(WLAM(IJ).LE.WPHT1) THEN
A1=(WPHT1-WLAM(IJ))/DW
A2=(WLAM(IJ)-WPHT0)/DW
DO 140 I=1,NPHT1
INDX=INDEX(IFIL,I)
PHOT(IJ,INDX)=(A1*PHT0(I)+A2*PHT1(I))*1.E-18
140 CONTINUE
ELSE
WPHT0=WPHT1
DO 150 I=1,NPHT1
150 PHT0(I)=PHT1(I)
IFSML=0
160 READ(IPHT1,*,END=180) WPHT1,(PHT1(I),I=1,NPHT1)
IF(WPHT1.LT.WLAM(IJ)) THEN
IFSML=1
GO TO 160
END IF
IF(IFSML.EQ.1) THEN
BACKSPACE(IPHT1)
BACKSPACE(IPHT1)
READ(IPHT1,*,END=180) WPHT0,(PHT0(I),I=1,NPHT1)
READ(IPHT1,*,END=180) WPHT1,(PHT1(I),I=1,NPHT1)
END IF
DW=WPHT1-WPHT0
A1=(WPHT1-WLAM(IJ))/DW
A2=(WLAM(IJ)-WPHT0)/DW
DO 170 I=1,NPHT1
INDX=INDEX(IFIL,I)
PHOT(IJ,INDX)=(A1*PHT0(I)+A2*PHT1(I))*1.E-18
170 CONTINUE
END IF
GO TO 190
180 IEND(IFIL)=1
DO 185 I=1,NPHT1
INDX=INDEX(IFIL,I)
PHOT(IJ,INDX)=0.
185 CONTINUE
190 CONTINUE
PHOT(1,INDX)=PHOT(3,INDX)
PHOT(2,INDX)=PHOT(MFRQ,INDX)
GO TO 300
200 IEND(IFIL)=2
DO 210 IJ=1,MFREQ
DO 210 I=1,NELEM(IFIL)
INDX=INDEX(IFIL,I)
PHOT(IJ,INDX)=0.
210 CONTINUE
300 CONTINUE
RETURN
END
C
C ********************************************************************
C
C
SUBROUTINE INILIN
C =================
C
C read in the input line list,
C selection of lines that may contribute,
C set up auxiliary fields containing line parameters,
C
C Input of line data - unit 19:
C
C For each line, one (or two) records, containing:
C
C ALAM - wavelength (in nm)
C ANUM - code of the element and ion (as in Kurucz-Peytremann)
C (eg. 2.00 = HeI; 26.00 = FeI; 26.01 = FeII; 6.03 = C IV)
C GF - log gf
C EXCL - excitation potential of the lower level (in cm*-1)
C QL - the J quantum number of the lower level
C EXCU - excitation potential of the upper level (in cm*-1)
C QU - the J quantum number of the upper level
C AGAM = 0. - radiation damping taken classical
C > 0. - the value of Gamma(rad)
C
C There are now two possibilities, called NEW and OLD, of the next
C parameters:
C a) NEW, next parameters are:
C GS = 0. - Stark broadening taken classical
C > 0. - value of log gamma(Stark)
C GW = 0. - Van der Waals broadening taken classical
C > 0. - value of log gamma(VdW)
C INEXT = 0 - no other record necessary for a given line
C > 0 - a second record is present, see below
C
C The following parameters may or may not be present,
C in the same line, next to INEXT:
C ISQL >= 0 - value for the spin quantum number (2S+1) of lower level
C < 0 - value for the spin number of the lower level unknown
C ILQL >= 0 - value for the L quantum number of lower level
C < 0 - value for L of the lower level unknown
C IPQL >= 0 - value for the parity of lower level
C < 0 - value for the parity of the lower level unknown
C ISQU >= 0 - value for the spin quantum number (2S+1) of upper level
C < 0 - value for the spin number of the upper level unknown
C ILQU >= 0 - value for the L quantum number of upper level
C < 0 - value for L of the upper level unknown
C IPQU >= 0 - value for the parity of upper level
C < 0 - value for the parity of the upper level unknown
C (by default, the program finds out whether these quantum numbers
C are included, but the user can force the program to ignore them
C if present by setting INLIST=10 or larger
C
C If INEXT was set to >0 then the following record includes:
C WGR1,WGR2,WGR3,WGR4 - Stark broadening values from Griem (in Angst)
C for T=5000,10000,20000,40000 K, respectively;
C and n(el)=1e16 for neutrals, =1e17 for ions.
C ILWN = 0 - line taken in LTE (default)
C > 0 - line taken in NLTE, ILWN is then index of the
C lower level
C =-1 - line taken in approx. NLTE, with Doppler K2 function
C =-2 - line taken in approx. NLTE, with Lorentz K2 function
C IUN = 0 - population of the upper level in LTE (default)
C > 0 - index of the lower level
C IPRF = 0 - Stark broadening determined by GS
C < 0 - Stark broadening determined by WGR1 - WGR4
C > 0 - index for a special evaluation of the Stark
C broadening (in the present version inly for He I -
C see procedure GAMHE)
C b) OLD, next parameters are
C IPRF,ILWN,IUN - the same meaning as above
C next record with WGR1-WGR4 - again the same meaning as above
C (this record is automatically read if IPRF<0
C
C The only differences between NEW and OLD is the occurence of
C GS and GW in NEW, and slightly different format of reading.
C
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
INCLUDE 'LINDAT.FOR'
COMMON/LIMPAR/ALAM0,ALAM1,FRMIN,FRLAST,FRLI0,FRLIM
COMMON/BLAPAR/RELOP,SPACE0,CUTOF0,TSTD,DSTD,ALAMC
COMMON/IPOTLS/IPOTL(mlin0)
C
PARAMETER (C1 = 2.3025851,
* C2 = 4.2014672,
* C3 = 1.4387886,
* CNM = 2.997925D17,
* ANUMIN = 1.9,
* ANUMAX = 99.31,
* AHE2 = 2.01,
* EXT0 = 3.17,
* UN = 1.0,
* TEN = 10.,
* HUND = 1.D2,
* TENM4 = 1.D-4,
* TENM8 = 1.D-8,
* OP4 = 0.4,
* AGR0=2.4734E-22,
* XEH=13.595, XET=8067.6, XNF=25.,
* R02=2.5, R12=45., VW0=4.5E-9)
PARAMETER (ENHE1=198310.76, ENHE2=438908.85)
CHARACTER*1000 CADENA
DATA INLSET /0/
C
if(ibin(0).eq.0) then
open(unit=19,file=amlist(0),status='old')
else
open(unit=19,file=amlist(0),form='unformatted',status='old')
end if
if(imode.lt.-2) then
call inilin_grid
return
end if
c
if(ndstep.eq.0) then
write(6,621) idstd,temp(idstd),dens(idstd)
else
write(6,622)
do id=1,nd,ndstep
write(6,623) id,temp(id),dens(id)
end do
end if
621 format(/' lines are rejected based on opacities at the',
* ' standard depth:'/
* ' ID =',i4,' T = ',f10.1,', DENS = ',1pe10.3/)
622 format(/' lines are rejected based on opacities at depths:'/)
623 format(' ID =',i4,' T = ',f10.1,', DENS = ',1pe10.3/)
c
IL=0
INNLT0=0
IGRIE0=0
IF(NXTSET.EQ.1) THEN
ALAM0=ALM00
ALAST=ALST00
FRLAST=CNM/ALAST
NXTSET=0
REWIND 19
END IF
ALAM00=ALAM0
ALAST=CNM/FRLAST
ALAST0=ALAST
DOPSTD=1.E7/ALAM0*DSTD
DOPLAM=ALAM0*ALAM0/CNM*DOPSTD
AVAB=ABSTD(IDSTD)*RELOP
ASTD=1.0
c IF(GRAV.GT.6.) ASTD=0.1
CUTOFF=CUTOF0
ALAST=CNM/FRLAST
IF(INLTE.GE.1.AND.INLSET.EQ.0) THEN
CALL NLTSET(0,IL,IAT,ION,ALAM0,EXCL,EXCU,QL,QU,
* ISQL,ILQL,IPQL,ISQU,ILQU,IPQU,IEVEN,INNLT0,ILMATCH)
INLSET=1
ILMATCH=0
ILSEARCH=0
ILFOUND=0
ILFAIL=0
ILMULT=0
END IF
c
C
C Check whether any ion needs to compare quantum number limits
C
MAXILIMITS=0
DO I=1,NION
IF (ILIMITS(I).EQ.1) MAXILIMITS=1
END DO
IF (MAXILIMITS.EQ.0.and.inlist.gt.0) INLIST=20
C
C If INLIST=0 or 10, the program checks for the number of words
C present in the first line of the file to determine if quantum
C numbers are included. If INLINST=11, they will be ignored anyway
IADQN=0
IF(ibin(0).eq.0) then
CADENA=' '
READ(19,'(1000a)')CADENA
BACKSPACE(19)
CALL COUNT_WORDS(CADENA,NOW)
IF(NOW.LT.12) THEN
WRITE(11,*) 'INILIN: NO quantum numbers given in linelist'
ELSE
IADQN=1
END IF
if(inlist.ge.10)
* write(11,*) 'INILIN: if present, quant. num. limits are ignored'
ELSE
read(19,err=4) ALAM,ANUM,GF,EXCL,QL,EXCU,QU,AGAM,
* GS,GW,INEXT,ISQL,ILQL,IPQL,ISQU,ILQU,IPQU
c BACKSPACE(19)
IADQN=1
go to 5
4 continue
backspace(19)
read(19) ALAM,ANUM,GF,EXCL,QL,EXCU,QU,AGAM,
* GS,GW,INEXT
backspace(19)
5 continue
if(iadqn.eq.0)
* write(11,*) 'INILIN: no quantum numbers in binary linelist'
IF(INLIST.GE.10) THEN
write(11,*)
* 'INILIN: if present, quant. num. limits are ignored'
END IF
END IF
rstd=1.e4
if(relop.gt.0.) rstd=1./relop
afac=10.
if(iat.gt.15.and.iat.ne.26) afac=1.
afac=afac*rstd*astd
C
C first part of reading line list - read only lambda, and
C skip all lines with wavelength below ALAM0-CUTOFF
C
ALAM=0.
IJC=2
7 if(ibin(0).eq.0) then
READ(19,510) ALAM
else
read(19) alam
end if
510 FORMAT(F10.4)
IF(ALAM.LT.ALAM0-CUTOFF) GO TO 7
BACKSPACE(19)
GO TO 10
c
c read the line list
c
8 continue
10 ILWN=0
IUN=0
IPRF=0
GS=0.
GW=0.
IF(IBIN(0).EQ.0) THEN
IF(IADQN.EQ.0) THEN
READ(19,*,END=100,err=8) ALAM,ANUM,GF,EXCL,QL,EXCU,QU,AGAM,
* GS,GW,INEXT
IF(INEXT.NE.0) READ(19,*) WGR1,WGR2,WGR3,WGR4,ILWN,IUN,IPRF
ELSE
READ(19,*,END=100,err=8) ALAM,ANUM,GF,EXCL,QL,EXCU,QU,AGAM,
* GS,GW,INEXT,ISQL,ILQL,IPQL,ISQU,ILQU,IPQU
END IF
ELSE
IF(IADQN.EQ.0) THEN
READ(19,END=100) ALAM,ANUM,GF,EXCL,QL,EXCU,QU,AGAM,GS,GW
ELSE
READ(19,END=100) ALAM,ANUM,GF,EXCL,QL,EXCU,QU,AGAM,GS,GW,
* INEXT,ISQL,ILQL,IPQL,ISQU,ILQU,IPQU
END IF
END IF
IF(INLIST.GE.10) THEN
IF(ISPICK.EQ.0) THEN
ISQL=-1
ISQU=-1
END IF
IF(ILPICK.EQ.0) THEN
ILQL=-1
ILQU=-1
END IF
IF(IPPICK.EQ.0) THEN
IPQL=-1
IPQU=-1
END IF
IF(INEXT.NE.0) READ(19,*) WGR1,WGR2,WGR3,WGR4,ILWN,IUN,IPRF
END IF
C
c change wavelength to vacuum for lambda > 2000
c
if(alam.gt.200..and.vaclim.gt.2000.) then
wl0=alam*10.
ALM=1.E8/(WL0*WL0)
XN1=64.328+29498.1/(146.-ALM)+255.4/(41.-ALM)
WL0=WL0*(XN1*1.D-6+UN)
alam=wl0*0.1
END IF
C
C first selection : for a given interval a atomic number
C
IF(ALAM.GT.ALAST+CUTOFF) GO TO 100
IF(ANUM.LT.ANUMIN.OR.ANUM.GT.ANUMAX) GO TO 10
IF(ABS(ANUM-AHE2).LT.TENM4.AND.IFHE2.GT.0) GO TO 10
C
C second selection : for line strenghts
C
FR0=CNM/ALAM
IAT=INT(ANUM)
FRA=(ANUM-FLOAT(IAT)+TENM4)*HUND
ION=INT(FRA)+1
IF(ION.GT.IONIZ(IAT)) GO TO 10
IEVEN=1
EXCL=ABS(EXCL)
EXCU=ABS(EXCU)
IF(EXCL.GT.EXCU) THEN
FRA=EXCL
EXCL=EXCU
EXCU=FRA
FRA=QL
QL=QU
QU=FRA
IEVEN=0
IF(INLIST.GE.10) THEN
IFRA=ISQL
ISQL=ISQU
ISQU=IFRA
IFRA=ILQL
ILQL=ILQU
ILQU=IFRA
IFRA=IPQL
IPQL=IPQU
IPQU=IFRA
END IF
END IF
GFP=C1*GF-C2
EPP=C3*EXCL
c
if(ndstep.eq.0.and.ifwin.eq.0) then
c
c old procedure for rejecting lines
c
GX=GFP-EPP/TSTD
AB0=0.
if(gx.gt.-30)
* AB0=EXP(GFP-EPP/TSTD)*RRR(IDSTD,ION,IAT)/DOPSTD/AVAB
IF(AB0.LT.UN) GO TO 10
C
else
c
c new procedure for rejecting lines
c
DOPSTD=1.E7/ALAM*DSTD
DOPLAM=ALAM*ALAM/CNM*DOPSTD
do ijcn=ijc,nfreqc
if(fr0.ge.freqc(ijcn)) go to 12
end do
12 continue
ijc=ijcn
if(ijc.gt.nfreqc) ijc=nfreqc
tkm=1.65e8/amas(iat)
DP0=3.33564E-11*FR0
do id=1,nd,ndstep
td=temp(id)
gx=gfp-epp/td
ab0=0.
if(gx.gt.-30) then
dops=dp0*sqrt(tkm/td+vturb(id))
AB0=EXP(gx)*RRR(ID,ION,IAT)/(DOPS*abstdw(ijc,id)*relop)
end if
if(ab0.ge.un) go to 15
end do
GO TO 10
end if
C
C truncate line list if there are more lines than maximum allowable
C (given by MLIN0 - see include file LINDAT.FOR)
C
15 continue
IL=IL+1
IF(IL.GT.MLIN0) THEN
WRITE(6,601) ALAM
IL=MLIN0
ALAST=CNM/FREQ0(IL)-CUTOFF
FRLAST=CNM/ALAST
NXTSET=1
GO TO 100
END IF
C
C =============================================
C line is selected, set up necessary parameters
C =============================================
C
C store parameters for selected lines
C
FREQ0(IL)=FR0
EXCL0(IL)=real(EPP)
EXCU0(IL)=real(EXCU*C3)
GF0(IL)=real(GFP)
INDAT(IL)=100*IAT+ION
C
C indices for corresponding excitation temperatures of the lower
C and upper levels
C (for winds)
C
if(ifwin.gt.0) then
IJCONT(IL)=IJC
if(excl.ge.enhe2) then
ipotl(il)=3
else if(excl.ge.enhe1) then
ipotl(il)=2
else
ipotl(il)=1
end if
end if
C
C ****** line broadening parameters *****
C
C 1) natural broadening
C
IF(AGAM.GT.0.) THEN
GAMR0(IL)=real(EXP(C1*AGAM))
ELSE
GAMR0(IL)=real(AGR0*FR0*FR0)
END IF
C
C if Stark or Van der Waals broadenig assumed classical,
C evaluate the effective quantum number
C
IF(GS.EQ.0..OR.GW.EQ.0) THEN
Z=FLOAT(ION)
XNEFF2=Z**2*(XEH/(ENEV(IAT,ION)-EXCU/XET))
IF(XNEFF2.LE.0..OR.XNEFF2.GT.XNF) XNEFF2=XNF
END IF
C
C 2) Stark broadening
C
IF(GS.NE.0.) THEN
GS0(IL)=real(EXP(C1*GS))
ELSE
GS0(IL)=real(TENM8*XNEFF2*XNEFF2*SQRT(XNEFF2))
END IF
C
C 3) Van der Waals broadening
C
IF(GW.NE.0.) THEN
GW0(IL)=real(EXP(C1*GW))
ELSE
IF(IAT.LT.21) THEN
R2=R02*(XNEFF2/Z)**2
ELSE IF(IAT.LT.45) then
R2=(R12-FLOAT(IAT))/Z
ELSE
R2=0.5
END IF
GW0(IL)=real(VW0*R2**OP4)
END IF
c
C evaluation of EXTIN0 - the distance (in delta frequency) where
C the line is supposed to contribute to the total opacity
C
call profil(il,iat,idstd,agam)
IF(IAT.LE.2) THEN
EXT=SQRT(10.*AB0)
ELSE IF(IAT.LE.14) THEN
EX0=AB0*ASTD*10.
EXT=EXT0
IF(EX0.GT.TEN) EXT=SQRT(EX0)
ELSE
EX0=AB0*ASTD
EXT=EXT0
IF(EX0.GT.TEN) EXT=SQRT(EX0)
END IF
EXTIN0=EXT*DOPSTD
EXTIN(IL)=real(EXTIN0)
C
C 4) parameters for a special profile evaluation:
C
C a) special He I and He II line broadening parameters
C
ISPRFF=0
IF(IAT.LE.2) ISPRFF=ISPEC(IAT,ION,ALAM)
IF(IAT.EQ.2) CALL HESET(IL,ALAM,EXCL,EXCU,ION,IPRF,ILWN,IUN)
ISPRF(IL)=ISPRFF
IPRF0(IL)=IPRF
C
C b) parameters for Griem values of Stark broadening
C
IF(IPRF.LT.0) THEN
IGRIE0=IGRIE0+1
IGRIEM(IL)=IGRIE0
IF(IGRIE0.GT.MGRIEM) THEN
WRITE(6,603) ALAM
GO TO 20
END IF
WGR0(1,IGRIE0)=real(WGR1)
WGR0(2,IGRIE0)=real(WGR2)
WGR0(3,IGRIE0)=real(WGR3)
WGR0(4,IGRIE0)=real(WGR4)
END IF
20 CONTINUE
C
C implied NLTE option
C
if(inlte.eq.-2.or.inlte.eq.12) then
if(iat.le.20.and.excl.le.1000.) qu=-abs(qu)
else if(inlte.eq.-3) then
if(excl.le.1000.) qu=-abs(qu)
else if(inlte.eq.-4) then
qu=-abs(qu)
end if
C
C NLTE lines initialization
C
INDNLT(IL)=0
IF(QU.LT.0..OR.QL.LT.0.) THEN
ILWN=-1
QU=ABS(QU)
QL=ABS(QL)
END IF
IF(ILWN.LT.0.AND.INLTE.NE.0) THEN
INNLT0=INNLT0+1
INDNLT(IL)=INNLT0
IF(INNLT0.GT.MNLT) THEN
WRITE(6,604) ALAM
GO TO 100
END IF
GI=2.*QL+UN
GJ=2.*QU+UN
CALL NLTE(IL,ILWN,IUN,GI,GJ)
ILOWN(IL)=ILWN
IUPN(IL)=IUN
END IF
IF(ILWN.GT.0.AND.INLTE.NE.0) THEN
INNLT0=INNLT0+1
INDNLT(IL)=INNLT0
IF(INNLT0.GT.MNLT) THEN
WRITE(6,604) ALAM
GO TO 100
END IF
GI=2.*QL+UN
GJ=2.*QU+UN
CALL NLTE(IL,ILWN,IUN,GI,GJ)
ILOWN(IL)=ILWN
IUPN(IL)=IUN
END IF
IF(ILWN.EQ.0.AND.INLTE.GE.1) THEN
ILMATCH=-1
CALL NLTSET(1,IL,IAT,ION,ALAM,EXCL,EXCU,QL,QU,
* ISQL,ILQL,IPQL,ISQU,ILQU,IPQU,IEVEN,INNLT0,ILMATCH)
C
C Success accounting for nlte lines matched with quantum numbers and
C energy limits
C
C nlte lines searched matching energies and quantum numbers
IF(ILMATCH.GE.0) THEN
ILSEARCH=ILSEARCH+1
C nlte lines not found matching
IF (ILMATCH.EQ.0) THEN
ILFAIL=ILFAIL+1
C nlte lines with multiple matches
ELSE IF (ILMATCH.EQ.2) THEN
ILMULT=ILMULT+1
C nlte lines uniquely matched
ELSE IF (ILMATCH.EQ.1) THEN
ILFOUND=ILFOUND+1
ENDIF
ENDIF
IF(INDNLT(IL).GT.0) THEN
IF(INDNLT(IL).GT.MNLT) THEN
WRITE(6,604) ALAM
GO TO 100
END IF
GI=2.*QL+UN
GJ=2.*QU+UN
ILWN=ILOWN(IL)
IUN=IUPN(IL)
IF(ILWN.EQ.IUN.AND.GI.EQ.GJ) THEN
INDNLT(IL)=0
ILOWN(IL)=0
IUPN(IL)=0
ELSE
CALL NLTE(IL,ILWN,IUN,GI,GJ)
END IF
END IF
END IF
GO TO 10
C
100 NLIN0=IL
NNLT=INNLT0
NGRIEM=IGRIE0
ALM1=CNM/FREQ0(1)
IF(ALAM0.LT.ALM1.AND.IMODE.NE.1) THEN
ALAM0=ALM1-4.*DOPLAM
IF(ALAM0.LT.ALAM00) ALAM0=ALAM00
END IF
ALM2=CNM/FREQ0(NLIN0)
IF(NLIN0.GT.1) ALM2=CNM/FREQ0(NLIN0-1)
IF(ALAST.GT.ALM2.AND.IMODE.NE.1) THEN
ALAST=ALM2-4.*DOPLAM
IF(ALAST.GT.ALAST0) ALAST=ALAST0
FRLAST=CNM/ALAST
END IF
IBLANK=0
C
WRITE(11,*)'INILIN: NLTE matches using Energies and SLP limits --'
WRITE(11,*)ILSEARCH,' lines searched'
WRITE(11,*)ILFAIL,' lines unmatched -- set to LTE'
WRITE(11,*)ILMULT,' lines with multiple matches'
WRITE(11,*)ILFOUND,' lines uniquely matched'
WRITE(11,*)'----------------------------------------------------'
C
WRITE(*,*)'----------------------------------------------------'
WRITE(6,611) NLIN0,NNLT
611 FORMAT(/' LINES - TOTAL :',I10
* /' LINES - NLTE :',I10/)
601 FORMAT(' **** MORE LINES THAN MLIN0, LINE LIST TRUNCATED '/
*' AT LAMBDA',F15.4,' NM'/)
603 FORMAT(' **** MORE LINES WITH GRIEM PROFILES THAN MGRIEM'/
*' FOR LINES WITH LAMBDA GREATER THAN',F15.4,' NM'/)
604 FORMAT(' **** MORE LINES IN NLTE OPTION THAN MNLT'/
*' FOR LINES WITH LAMBDA GREATER THAN',F15.4,' NM'/)
RETURN
END
C
C ********************************************************************
C
C
SUBROUTINE INILIN_grid
C ======================
C
C read in the input line list,
C selection of lines that may contribute,
C set up auxiliary fields containing line parameters,
C
C Input of line data - unit 19:
C
C For each line, one (or two) records, containing:
C
C ALAM - wavelength (in nm)
C ANUM - code of the element and ion (as in Kurucz-Peytremann)
C (eg. 2.00 = HeI; 26.00 = FeI; 26.01 = FeII; 6.03 = C IV)
C GF - log gf
C EXCL - excitation potential of the lower level (in cm*-1)
C QL - the J quantum number of the lower level
C EXCU - excitation potential of the upper level (in cm*-1)
C QU - the J quantum number of the upper level
C AGAM = 0. - radiation damping taken classical
C > 0. - the value of Gamma(rad)
C
C There are now two possibilities, called NEW and OLD, of the next
C parameters:
C a) NEW, next parameters are:
C GS = 0. - Stark broadening taken classical
C > 0. - value of log gamma(Stark)
C GW = 0. - Van der Waals broadening taken classical
C > 0. - value of log gamma(VdW)
C INEXT = 0 - no other record necessary for a given line
C > 0 - next record is read, which contains:
C WGR1,WGR2,WGR3,WGR4 - Stark broadening values from Griem (in Angst)
C for T=5000,10000,20000,40000 K, respectively;
C and n(el)=1e16 for neutrals, =1e17 for ions.
C ILWN = 0 - line taken in LTE (default)
C > 0 - line taken in NLTE, ILWN is then index of the
C lower level
C =-1 - line taken in approx. NLTE, with Doppler K2 function
C =-2 - line taken in approx. NLTE, with Lorentz K2 function
C IUN = 0 - population of the upper level in LTE (default)
C > 0 - index of the lower level
C IPRF = 0 - Stark broadening determined by GS
C < 0 - Stark broadening determined by WGR1 - WGR4
C > 0 - index for a special evaluation of the Stark
C broadening (in the present version inly for He I -
C see procedure GAMHE)
C b) OLD, next parameters are
C IPRF,ILWN,IUN - the same meaning as above
C next record with WGR1-WGR4 - again the same meaning as above
C (this record is automatically read if IPRF<0
C
C The only differences between NEW and OLD is the occurence of
C GS and GW in NEW, and slightly different format of reading.
C
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
INCLUDE 'LINDAT.FOR'
COMMON/LIMPAR/ALAM0,ALAM1,FRMIN,FRLAST,FRLI0,FRLIM
COMMON/BLAPAR/RELOP,SPACE0,CUTOF0,TSTD,DSTD,ALAMC
common/igrddd/igrdd,irelin
common/plaopa/plalin,plcint,chcint
common/conabs/absoc(mfreqc),emisc(mfreqc),scatc(mfreqc),
* plac(mfreqc)
C
PARAMETER (C1 = 2.3025851,
* C2 = 4.2014672,
* C3 = 1.4387886,
* CNM = 2.997925D17,
* ANUMIN = 1.9,
* ANUMAX = 99.31,
* AHE2 = 2.01,
* EXT0 = 3.17,
* UN = 1.0,
* TEN = 10.,
* HUND = 1.D2,
* TENM4 = 1.D-4,
* TENM8 = 1.D-8,
* OP4 = 0.4,
* AGR0=2.4734E-22,
* XEH=13.595, XET=8067.6, XNF=25.,
* R02=2.5, R12=45., VW0=4.5E-9,
* bnc=1.4743e-2,hkc=4.79928e-11)
PARAMETER (ENHE1=198310.76, ENHE2=438908.85)
DATA INLSET /0/
C
if(irelin.eq.0) return
c
relop0=relop
relop=1.e-3*relop
if(relop.gt.1.e-4) relop=1.e-4
if(relop.lt.1.e-5) relop=1.e-5
plalin=0.
ijcon=2
IL=0
INNLT0=0
IGRIE0=0
IF(NXTSET.EQ.1) THEN
ALAM0=ALM00
ALAST=ALST00
FRLAST=CNM/ALAST
NXTSET=0
REWIND 19
END IF
ALAM00=ALAM0
ALAST=CNM/FRLAST
ALAST0=ALAST
DOPSTD=1.E7/ALAM0*DSTD
DOPLAM=ALAM0*ALAM0/CNM*DOPSTD
AVAB=ABSTD(IDSTD)*RELOP
id=idstd
dstdid=sqrt(1.4e7*temp(idstd))
ASTD=1.0
c IF(GRAV.GT.6.) ASTD=0.1
CUTOFF=CUTOF0
ALAST=CNM/FRLAST
absta=absoc(1)
write(6,630) alam0,alast,abstd(idstd),absta
630 format(/' read line list with alam0, alast',2f10.3,1p3e11.3/)
c
rstd=1.e4
if(relop.gt.0.) rstd=1./relop
afac=10.
if(iat.gt.15.and.iat.ne.26) afac=1.
afac=afac*rstd*astd
C
afac=afac*rstd*astd
afilin=alast
C
C first part of reading line list - read only lambda, and
C skip all lines with wavelength below ALAM0-CUTOFF
C
ALAM=0.
7 continue
if(ibin(0).eq.0) then
read(19,510) alam
else
read(19) alam
end if
510 FORMAT(F10.4)
IF(ALAM.LT.ALAM0-CUTOFF) GO TO 7
BACKSPACE(19)
GO TO 10
c
8 continue
10 ILWN=0
IUN=0
IPRF=0
GS=0.
GW=0.
IF(IBIN(0).EQ.0) THEN
READ(19,*,END=100,err=8) ALAM,ANUM,GF,EXCL,QL,EXCU,QU,AGAM,
* GS,GW
else
read(19,end=100) ALAM,ANUM,GF,EXCL,QL,EXCU,QU,AGAM,
* GS,GW
end if
c
c change wavelength to vacuum for lambda > 2000
c
if(alam.gt.200..and.vaclim.gt.2000.) then
wl0=alam*10.
ALM=1.E8/(WL0*WL0)
XN1=64.328+29498.1/(146.-ALM)+255.4/(41.-ALM)
WL0=WL0*(XN1*1.D-6+UN)
alam=wl0*0.1
END IF
C
C first selection : for a given interval a atomic number
C
IF(ALAM.GT.ALAST+CUTOFF) GO TO 100
C
C second selection : for line strengths
C
FR0=CNM/ALAM
if(inlist.ge.0) then
IAT=ifix(real(ANUM,4))
FRA=(ANUM-FLOAT(IAT)+TENM4)*HUND
ION=INT(FRA)+1
IF(ION.GT.IONIZ(IAT)) GO TO 10
IEVEN=1
EXCL=ABS(EXCL)
EXCU=ABS(EXCU)
IF(EXCL.GT.EXCU) THEN
FRA=EXCL
EXCL=EXCU
EXCU=FRA
FRA=QL
QL=QU
QU=FRA
IEVEN=0
END IF
GFP=C1*GF-C2
EPP=C3*EXCL
else
IF(ION.GT.IONIZ(IAT)) GO TO 10
end if
C
if(fr0.lt.freqc(ijcon)) then
ijcon=ijcon+1
absta=0.5*(absoc(ijcon)+scatc(ijcon)+
* absoc(ijcon-1)+scatc(ijcon-1))
end if
abstd(id)=absta
c
dop=1.e7/alam*dstdid
abct=exp(gfp-epp/temp(id))*rrr(id,ion,iat)
abid=abct/dop/absta
ext=sqrt(abid*afac)*dop
c
c line part of the Planck mean opacity
c
c if(alam.ge.alam0.and.alam.le.alast) then
c if(abid.ge.relop) then
c xx=exp(-hkc*fr0/temp(id))
c pln=bnc*(fr0*1.e-15)**3*xx/(un-xx)
c abct=abct*(un-xx)
c plalin=plalin+pln*abct
c write(16,643) iat,ion,alam*10.,abct,dop,absta,abid
c 643 format(2i4,0pf12.3,1p6e12.4)
c end if
c
ALAX0=12.
c
c alax0=0
c
if(imode.eq.-6) go to 10
if(alam.lt.afilin) then
if(abid.ge.relop) then
afilin=alam
else
if(abid.lt.relop*1.e-6) go to 10
end if
else if(alam.lt.9500.) then
if(abid.lt.relop) go to 10
else if(alam.lt.9950.) then
if(abid.lt.relop*1.e-9) go to 10
else
if(abid.lt.relop*1.e-19) go to 10
end if
c
c if(abid.lt.relop.and.alam.gt.alax0) go to 10
c if(abid.lt.1.e-10*relop.and.alam.lt.alax0) go to 10
IF(ANUM.LT.ANUMIN.OR.ANUM.GT.ANUMAX) GO TO 10
IF(ANUM.GT.ANUMAX) GO TO 10
IF(ABS(ANUM-AHE2).LT.TENM4.AND.IFHE2.GT.0) GO TO 10
c
extin0=ext
C
C truncate line list if there are more lines than maximum allowable
C (given by MLIN0 - see include file LINDAT.FOR)
C
IL=IL+1
IF(IL.GT.MLIN0) THEN
WRITE(6,601) ALAM
IL=MLIN0
ALAST=CNM/FREQ0(IL)-CUTOFF
FRLAST=CNM/ALAST
NXTSET=1
GO TO 100
END IF
C
C =============================================
C line is selected, set up necessary parameters
C =============================================
C
C evaluation of EXTIN0 - the distance (in delta frequency) where
C the line is supposed to contribute to the total opacity
C
C store parameters for selected lines
C
FREQ0(IL)=FR0
EXCL0(IL)=real(EPP,4)
EXCU0(IL)=real(EXCU*C3,4)
GF0(IL)=real(GFP,4)
EXTIN(IL)=real(EXTIN0,4)
INDAT(IL)=100*IAT+ION
C
C ****** line broadening parameters *****
C
C 1) natural broadening
C
IF(AGAM.GT.0.) THEN
GAMR0(IL)=real(EXP(C1*AGAM),4)
ELSE
GAMR0(IL)=real(AGR0*FR0*FR0,4)
END IF
C
C if Stark or Van der Waals broadening assumed classical,
C evaluate the effective quantum number
C
IF(GS.EQ.0..OR.GW.EQ.0) THEN
Z=FLOAT(ION)
XNEFF2=Z**2*(XEH/(ENEV(IAT,ION)-EXCU/XET))
IF(XNEFF2.LE.0..OR.XNEFF2.GT.XNF) XNEFF2=XNF
END IF
C
C 2) Stark broadening
C
IF(GS.NE.0.) THEN
GS0(IL)=real(EXP(C1*GS),4)
ELSE
GS0(IL)=real(TENM8*XNEFF2*XNEFF2*SQRT(XNEFF2),4)
END IF
C
C 3) Van der Waals broadening
C
IF(GW.NE.0.) THEN
GW0(IL)=real(EXP(C1*GW),4)
ELSE
IF(IAT.LT.21) THEN
R2=R02*(XNEFF2/Z)**2
ELSE IF(IAT.LT.45) then
R2=(R12-FLOAT(IAT))/Z
ELSE
R2=0.5
END IF
GW0(IL)=real(VW0*R2**OP4,4)
END IF
C
C 4) parameters for a special profile evaluation:
C
C a) special He I and He II line broadening parameters
C
ISPRFF=0
IF(IAT.LE.2) ISPRFF=ISPEC(IAT,ION,ALAM)
IF(IAT.EQ.2) CALL HESET(IL,ALAM,EXCL,EXCU,ION,IPRF,ILWN,IUN)
ISPRF(IL)=ISPRFF
IPRF0(IL)=IPRF
C
C b) parameters for Griem values of Stark broadening
C
IF(IPRF.LT.0) THEN
IGRIE0=IGRIE0+1
IGRIEM(IL)=IGRIE0
IF(IGRIE0.GT.MGRIEM) THEN
WRITE(6,603) ALAM
GO TO 20
END IF
WGR0(1,IGRIE0)=real(WGR1,4)
WGR0(2,IGRIE0)=real(WGR2,4)
WGR0(3,IGRIE0)=real(WGR3,4)
WGR0(4,IGRIE0)=real(WGR4,4)
END IF
20 CONTINUE
GO TO 10
C
100 NLIN0=IL
NNLT=INNLT0
NGRIEM=IGRIE0
ALM1=CNM/FREQ0(1)
IF(ALAM0.LT.ALM1.AND.IMODE.NE.1) THEN
ALAM0=ALM1-4.*DOPLAM
IF(ALAM0.LT.ALAM00) ALAM0=ALAM00
END IF
ALM2=CNM/FREQ0(NLIN0)
IF(NLIN0.GT.1) ALM2=CNM/FREQ0(NLIN0-1)
IF(ALAST.GT.ALM2.AND.IMODE.NE.1) THEN
ALAST=ALM2-4.*DOPLAM
IF(ALAST.GT.ALAST0) ALAST=ALAST0
FRLAST=CNM/ALAST
END IF
IBLANK=0
relop=relop0
C
WRITE(6,611) NLIN0
611 FORMAT(/' ATOMIC LINES :',I10/)
c WRITE(6,611) NLIN0,NNLT,NGRIEM
c 611 FORMAT(/' LINES - TOTAL :',I10
c * /' LINES - NLTE :',I10
c * /' LINES - GRIEM :',I10/)
601 FORMAT('0 **** MORE LINES THAN MLIN0, LINE LIST TRUNCATED '/
*' AT LAMBDA',F15.4,' NM'/)
c 602 FORMAT('0 **** MORE LINES WITH SPECIAL PROFILES THAN MPRF'/
c *' FOR LINES WITH LAMBDA GREATER THAN',F15.4,' NM'/)
603 FORMAT('0 **** MORE LINES WITH GRIEM PROFILES THAN MGRIEM'/
*' FOR LINES WITH LAMBDA GREATER THAN',F15.4,' NM'/)
c 604 FORMAT('0 **** MORE LINES IN NLTE OPTION THAN MNLT'/
c *' FOR LINES WITH LAMBDA GREATER THAN',F15.4,' NM'/)
RETURN
END
C
C
C ********************************************************************
C
C
SUBROUTINE INIBLA
C =================
C
C driving procedure for treating a partial line list for the
C current wavelength region
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
INCLUDE 'LINDAT.FOR'
COMMON/PRFQUA/DOPA1(MATOM,MDEPTH),VDWC(MDEPTH)
C
PARAMETER (DP0=3.33564E-11, DP1=1.651E8,
c * VW1=0.42, VW2=0.3, TENM4=1.E-4)
* VW1=0.42, VW2=0.45,TENM4=1.E-4)
PARAMETER (UN=1.)
C
IF(NLIN.EQ.0) RETURN
XX=FREQ(1)
IF(NFREQ.GE.2) XX=0.5*(FREQ(1)+FREQ(2))
if(ifwin.gt.0) XX=0.5*(FREQC(1)+FREQC(NFREQC))
BNU=BN*(XX*1.E-15)**3
HKF=HK*XX
if(ifwin.gt.0) XX=un
DO 20 ID=1,ND
T=TEMP(ID)
ANE=ELEC(ID)
EXH=EXP(HKF/T)
EXHK(ID)=UN/EXH
PLAN(ID)=BNU/(EXH-UN)
STIM(ID)=UN-EXHK(ID)
if(iath.gt.0) then
ANP=POPUL(NKH,ID)
AH=DENS(ID)/WMM(ID)/YTOT(ID)-ANP
else
ah=rrr(id,1,1)
end if
AHE=RRR(ID,1,2)
VDWC(ID)=(AH+VW1*AHE+0.85*ANH2(ID))*(T*TENM4)**VW2
DO 10 IAT=1,MATOM
IF(AMAS(IAT).GT.0.)
* DOPA1(IAT,ID)=UN/(XX*DP0*SQRT(DP1*T/AMAS(IAT)+VTURB(ID)))
10 CONTINUE
20 CONTINUE
RETURN
END
C
C ********************************************************************
C
C
SUBROUTINE IDTAB
C ================
C
C output of selected line parameters (identification table)
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
INCLUDE 'LINDAT.FOR'
CHARACTER*4 TYPION(30)
CHARACTER*4 APB,AP0,AP1,AP2,AP3,AP4,APR
COMMON/PRFQUA/DOPA1(MATOM,MDEPTH),VDWC(MDEPTH)
COMMON/REFDEP/IREFD(MFRQ)
COMMON/RTEOPA/CH(MFREQ,MDEPTH),ET(MFREQ,MDEPTH),
* SC(MFREQ,MDEPTH)
C
PARAMETER (C1=2.3025851, C2=4.2014672, C3=1.4387886)
DATA TYPION /' I ',' II ',' III',' IV ',' V ',
* ' VI ',' VII','VIII',' IX ',' X ',
* ' XI ',' XII','XIII',' XIV',' XV ',
* ' XVI','XVII',' 18 ',' XIX',' XX ',
* ' XXI','XXII',' 23 ','XXIV','XXV ',
* 'XXVI',' 27 ',' 28 ','XXIX',' XXX'/
DATA APB,AP0,AP1,AP2,AP3,AP4 /' ',' .',' *',' **',' ***',
* '****'/
C
IF(NLIN.EQ.0) GO TO 100
C
ALM0=2.997925D18/FREQ(1)
ALM1=2.997925D18/FREQ(2)
if(ifwin.gt.0) ALM0=2.997925D18/FRQOBS(1)
if(ifwin.gt.0) ALM1=2.997925D18/FRQOBS(NFREQ)
IF(IPRIN.LE.-2) RETURN
if(iprin.ge.2) then
c IF(IMODE.GE.0.OR.(IMODE.EQ.-1.AND.IBLANK.EQ.1)) WRITE(6,602)
end if
C
DO IL0=1,NLIN
IL=INDLIN(IL0)
ALAM=2.997925D18/FREQ0(IL)
ID=IDSTD
IJCN=IJCNTR(IL0)
ID0=0
IF(IJCN.GE.1.AND.IJCN.LE.NFREQS) ID0=IREFD(IJCN)
IF(ID0.GT.0.and.id0.lt.nd) ID=ID0
IAT=INDAT(IL)/100
ION=MOD(INDAT(IL),100)
CALL PROFIL(IL,IAT,ID,AGAM)
ABCNT=EXP(GF0(IL)-EXCL0(IL)/TEMP(ID))*RRR(ID,ION,IAT)*
* STIM(ID)
absta=min(ch(1,idstd),ch(2,idstd))
if(ifwin.le.0) then
DOP1=DOPA1(IAT,ID)
str0=abcnt*dop1/absta
else
DOP1=DOPA1(IAT,ID)/FREQ0(IL)
STR0=ABCNT*DOP1/ABSTDW(IJCONT(IL),ID)
end if
GF=(GF0(IL)+C2)/C1
EXCL=EXCL0(IL)/C3
IF(STR0.LE.1.2) THEN
WW1=0.886*STR0*(1.-STR0*(0.707-STR0*0.577))
ELSE
WW1=SQRT(LOG(STR0))
END IF
IF(STR0.GT.55.) THEN
WW2=0.5*SQRT(3.14*AGAM*STR0)
IF(WW2.GT.WW1) WW1=WW2
END IF
EQW=ALAM/FREQ0(IL)*1.E3/DOP1*WW1
STR=EQW*10.
APR=APB
IF(STR.GE.1.E0.AND.STR.LT.1.E1) APR=AP0
IF(STR.GE.1.E1.AND.STR.LT.1.E2) APR=AP1
IF(STR.GE.1.E2.AND.STR.LT.1.E3) APR=AP2
IF(STR.GE.1.E3.AND.STR.LT.1.E4) APR=AP3
IF(STR.GE.1.E4) APR=AP4
if(alam.ge.alm0.and.alam.lt.alm1) then
ill=ilown(il)
ilu=iupn(il)
if(ill.gt.0) ill=ill-nfirst(iel(ill))+1
if(ilu.gt.0) ilu=ilu-nfirst(iel(ilu))+1
WRITE(12,603) ALAM,TYPAT(IAT),TYPION(ION),GF,EXCL,
* STR0,EQW,APR,ill,ilu,id
end if
END DO
C
c 602 FORMAT(/1H ,13X,
c * 'LAMBDA ATOM LOG GF ELO LINE/CONT',2X,
c * 'EQ.WIDTH'/)
603 FORMAT(F11.3,2X,A4,A3,F7.2,F12.3,1PE11.2,0PF8.1,1X,A4,
* 3i4)
C
100 CONTINUE
RETURN
END
C
C ********************************************************************
C
C
SUBROUTINE INIBLH
C =================
C
C output information about hydrogen lines
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
INCLUDE 'LINDAT.FOR'
CHARACTER*4 TYPION(30)
CHARACTER*4 APB,AP0,AP1,AP2,AP3,AP4,APR
COMMON/PRFQUA/DOPA1(MATOM,MDEPTH),VDWC(MDEPTH)
C
PARAMETER (C1=2.3025851, C2=4.2014672, C3=1.4387886)
PARAMETER (DP0=3.33564E-11, DP1=1.651E8,
* VW1=0.42, VW2=0.45,TENM4=1.E-4)
PARAMETER (UN=1.)
DATA TYPION /' I ',' II ',' III',' IV ',' V ',
* ' VI ',' VII','VIII',' IX ',' X ',
* ' XI ',' XII','XIII',' XIV',' XV ',
* ' XVI','XVII',' 18 ',' XIX',' XX ',
* ' XXI','XXII',' 23 ','XXIV','XXV ',
* 'XXVI',' 27 ',' 28 ','XXIX',' XXX'/
DATA APB,AP0,AP1,AP2,AP3,AP4 /' ',' .',' *',' **',' ***',
* '****'/
C
IF(IPRIN.LE.-2.OR.IHYL.LT.0) RETURN
ALM0=2.997925D18/FREQ(1)
ALM1=2.997925D18/FREQ(2)
XX=FREQ(1)
IF(NFREQ.GE.2) XX=0.5*(FREQ(1)+FREQ(2))
BNU=BN*(XX*1.E-15)**3
HKF=HK*XX
C
IAT=1
ION=1
IZZ=1
ID=IDSTD
T=TEMP(ID)
ANE=ELEC(ID)
EXH=EXP(HKF/T)
EXHK(ID)=UN/EXH
PLAN(ID)=BNU/(EXH-UN)
STIM(ID)=UN-EXHK(ID)
DOPA1(IAT,ID)=UN/(XX*DP0*SQRT(DP1*T/AMAS(IAT)+VTURB(ID)))
ISERL=ILOWH
ISERU=ILOWH
IF(alm0.GT.17000..AND.alm1.LT.21000.) THEN
ISERL=3
ISERU=4
ELSE IF(alm0.GT.22700.) THEN
ISERL=4
ISERU=5
IF(alm0.GT.32800.) ISERU=6
IF(alm0.GT.44660.) ISERU=7
END IF
C
DO I=ISERL,ISERU
II=I*I
XII=UN/II
M1=M10
IF(I.LT.ILOWH) M1=ILOWH-1
M2=M1+1
IF(M1.LT.I+1) M1=I+1
M1=M1-1
M2=M20+3
IF(M1.LT.I+1) M1=I+1
if(grav.gt.3.) then
m2=m2+5
m1=m1-3
if(m1.gt.i+6) m1=m1-3
end if
if(grav.gt.6.) then
m2=m2+2
m1=m1-1
if(m1.gt.i+6) m1=m1-1
end if
IF(M1.LT.I+1) M1=I+1
IF(M2.GT.20) M2=20
ILINH=0
DO J=M2,M1,-1
CALL STARK0(I,J,izz,XKIJ,WL0,FIJ,FIJ0)
ALAM=WL0
if(alam.ge.alm0.and.alam.lt.alm1) then
ILINH=ILINH+1
GH=2.*II
GF=LOG10(FIJ*GH)
EXCL=109679.*(1.-XII)
EXCL0H=EXCL*C3
GF0H=GF*C1-C2
ABCNT=EXP(GF0H-EXCL0H/TEMP(ID))*RRR(ID,ION,IAT)*
* DOPA1(IAT,ID)*STIM(ID)
STR0=ABCNT/ABSTD(ID)
IF(STR0.LE.1.2) THEN
WW1=0.886*STR0*(1.-STR0*(0.707-STR0*0.577))
ELSE
WW1=SQRT(LOG(STR0))
END IF
IF(STR0.GT.55.) THEN
agam=0.01
WW2=0.5*SQRT(3.14*AGAM*STR0)
IF(WW2.GT.WW1) WW1=WW2
END IF
EQW=ALAM*ALAM/3.E18*1.E3/DOPA1(IAT,ID)*WW1
STR=EQW*10.
APR=APB
IF(STR.GE.1.E0.AND.STR.LT.1.E1) APR=AP0
IF(STR.GE.1.E1.AND.STR.LT.1.E2) APR=AP1
IF(STR.GE.1.E2.AND.STR.LT.1.E3) APR=AP2
IF(STR.GE.1.E3.AND.STR.LT.1.E4) APR=AP3
IF(STR.GE.1.E4) APR=AP4
c if(iprin.ge.2)
c * WRITE(6,601) ALAM,TYPAT(IAT),TYPION(ION),GF,EXCL,
c * STR0,EQW,APR,i,j
WRITE(14,601) ALAM,TYPAT(IAT),TYPION(ION),GF,EXCL,
* STR0,EQW,APR,i,j
end if
END DO
END DO
C
601 FORMAT(F10.3,2X,2A4,F7.2,F12.3,1PE11.2,0PF8.1,1X,A4,2i3)
C
RETURN
END
C
C ********************************************************************
C
C
SUBROUTINE NLTSET(MODE,IL,IAT,ION,ALAM0,EXCL,EXCU,QL,QU,
* ISQL,ILQL,IPQL,ISQU,ILQU,IPQU,IEVEN,INNLT0,ILMATCH)
C ===============================================================
C
C NLTE option - automatic assignement of level indices
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
INCLUDE 'LINDAT.FOR'
PARAMETER (MNION = MIOEX,
* MNLEV = MLEVEL,
* ECONST= 5.03411142E15)
PARAMETER (INLLEV = 13)
COMMON/NL2PAR/ELIMEV(MNION,MNLEV),ELIMOD(MNION,MNLEV),
* ELIML(MNION,MNLEV),
* ENREV(MNION,MNLEV),ENROD(MNION,MNLEV),
* INDEV(MNION,MNLEV),INDOD(MNION,MNLEV),
C * INDLV(MNION,MNLEV),
* INDLV(MNION,MNLEV),INDIO(MNION),
* NEVEN(MNION),NODD(MNION),NODD0,NLEVS(MNION),
* IATN(MNION),IONN(MNION),NNION
COMMON/PRINTP/TYPLEV
CHARACTER*10 TYPLEV(MLEVEL),typ
character*4 typ1
character*2 typ2
character*2 typin(60)
data typin /' 1',' 2',' 3',' 4',' 5',' 6',' 7',' 8',' 9','10',
* '11','12','13','14','15','16','17','18','19','20',
* '21','22','23','24','25','26','27','28','29','30',
* '31','32','33','34','35','36','37','38','39','40',
* '41','42','43','44','45','46','47','48','49','50',
* '51','52','53','54','55','56','57','58','59','60'/
C
C +++++++++++++++++++++++++++
C MODE = 0 - initialization
C +++++++++++++++++++++++++++
C
IF(MODE.EQ.0) THEN
NNION=0
READ(INLLEV,*,END=55,ERR=55) NNION
IF(NNION.LE.0) GO TO 55
DO I=1,NNION
READ(INLLEV,*) IATN(I),IONN(I)
READ(INLLEV,*) NEVEN(I)
IF(NEVEN(I).GT.0) THEN
DO J=1,NEVEN(I)
READ(INLLEV,*) ELIMEV(I,J)
END DO
READ(INLLEV,*) NODD(I)
NODD0=NODD(I)
IF(NODD(I).GT.0) THEN
DO J=1,NODD(I)
READ(INLLEV,*) ELIMOD(I,J)
END DO
ELSE
NODD(I)=NEVEN(I)
DO J=1,NODD(I)
ELIMOD(I,J)=ELIMEV(I,J)
END DO
END IF
INDION=0
DO IONEX=1,NION
N0I=NFIRST(IONEX)
IA=NUMAT(IATM(N0I))
IF(IA.EQ.IATN(I).AND.IZ(IONEX)-1.EQ.IONN(I)) INDION=IONEX
END DO
IF(INDION.LE.0) THEN
call quit(' INCONSISTENCY IN UNIT 13 INPUT - NLTE')
END IF
NOFF=NFIRST(INDION)-1
c
ine=1
ino=1
do ii=nfirst(indion),nlast(indion)
TYP=TYPLEV(II)
typ1=typ(2:5)
typ2=typ(8:9)
iev=0
if(typ1.eq.'even') iev=1
do k=1,60
if(typin(k).eq.typ2) ind=k
end do
if(iev.eq.1) then
indev(i,ine)=ii
write(11,*) 'super-e ',i,ii,ine,elimev(i,ine)
ine=ine+1
else
indod(i,ino)=ii
write(11,*) 'super-o ',i,ii,ino,elimod(i,ino)
ino=ino+1
end if
end do
END IF
END DO
C
55 CONTINUE
C
INDION=NNION
DO 90 IONEX=1,NION
N0I=NFIRST(IONEX)
IA=NUMAT(IATM(N0I))
if(isemex(ia).ge.1) go to 90
IONM1=IZ(IONEX)-1
IF(IA.EQ.1.OR.IA.EQ.2) GO TO 90
DO I=1,NNION
IF(IA.EQ.IATN(I).AND.IONM1.EQ.IONN(I)) GO TO 90
END DO
IF(NFIRST(IONEX).EQ.NLAST(IONEX)) GO TO 90
INDION=INDION+1
EION=ENION(NFIRST(IONEX))
NLEVS(INDION)=NLAST(IONEX)-NFIRST(IONEX)+1
INDIO(INDION)=IONEX
NEVEN(INDION)=0
IATN(INDION)=IA
IONN(INDION)=IONM1
DELE=0.
DO II=NFIRST(IONEX),NLAST(IONEX)
I=II-NFIRST(IONEX)+1
E=(EION-ENION(II))*ECONST
IF(II.LT.NLAST(IONEX)) THEN
E1=(EION-ENION(II+1))*ECONST
DELE=0.5*(E1-E)
ELIML(INDION,I)=E+DELE
ELSE
IF(INLTE.GE.2) THEN
ELIML(INDION,I)=E+DELE
ELSE
ELIML(INDION,I)=EION*ECONST
END IF
END IF
INDLV(INDION,I)=II
END DO
90 CONTINUE
NNION=INDION
C Header for the table with the level assignments
C
if(inlte.gt.0.and.iprin.ge.1)
* WRITE(11,*)'NLTSET: IAT ION LAMBDA EXCL '//
* ' EXCU ILWN IUN'
RETURN
END IF
C
C
C ++++++++++++++++++++++++++++++++++++++++++
C MODE > 0 - level indices for the line IL
C ++++++++++++++++++++++++++++++++++++++++++
C
IF(NNION.LE.0) RETURN
INION=0
IONM1=ION-1
DO I=1,NNION
IF(IAT.EQ.IATN(I).AND.IONM1.EQ.IONN(I)) INION=I
END DO
if(isemex(iat).ge.1) RETURN
IF(INION.LE.0) RETURN
IF(NEVEN(INION).EQ.0) IEVEN=2
IF(NEVEN(INION).LT.0) GOTO 400
C
IF(IEVEN.EQ.1) THEN
IND=0
DO 110 J=1,NEVEN(INION)
IF(EXCL.LE.ELIMEV(INION,J)) THEN
IND=J
GO TO 120
END IF
110 CONTINUE
ILWN=0
GO TO 145
120 CONTINUE
ILWN=INDEV(INION,IND)
C
IND=0
DO 130 J=1,NODD(INION)
IF(EXCU.LE.ELIMOD(INION,J)) THEN
IND=J
GO TO 140
END IF
130 CONTINUE
IUN=0
GO TO 145
140 CONTINUE
IUN=INDOD(INION,IND)
145 CONTINUE
C
ELSE IF(IEVEN.EQ.0) THEN
IND=0
DO 150 J=1,NODD(INION)
IF(EXCL.LE.ELIMOD(INION,J)) THEN
IND=J
GO TO 160
END IF
150 CONTINUE
ILWN=0
GO TO 200
160 CONTINUE
ILWN=INDOD(INION,IND)
C
IND=0
DO 170 J=1,NEVEN(INION)
IF(EXCU.LE.ELIMEV(INION,J)) THEN
IND=J
GO TO 180
END IF
170 CONTINUE
IUN=0
GO TO 200
180 CONTINUE
IUN=INDEV(INION,IND)
200 CONTINUE
c
c transition between levels without a distinction in parity
c
ELSE
IF (ILIMITS(INDIO(INION)).EQ.0.OR.INLIST.GE.10) THEN
C level identification: using only energy limits
C
IND=0
DO 210 J=1,NLEVS(INION)
IF(EXCL.LE.ELIML(INION,J)) THEN
IND=J
GO TO 220
END IF
210 CONTINUE
ILWN=0
IUN=0
GO TO 300
220 CONTINUE
ILWN=INDLV(INION,IND)
C
IND=0
DO 230 J=1,NLEVS(INION)
IF(EXCU.LE.ELIML(INION,J)) THEN
IND=J
GO TO 240
END IF
230 CONTINUE
IUN=0
GO TO 300
240 CONTINUE
IUN=INDLV(INION,IND)
300 CONTINUE
ELSE IF (ILIMITS(INDIO(INION)).EQ.1.and.inlist.lt.10) THEN
C
C level identification: using energy limits and quantum numbers
C
IND=0
INMATCHL=0
DO 310 J=1,NLEVS(INION)
IF(EXCL.GE.ENION1(INDLV(INION,J)) .AND.
* EXCL.LE.ENION2(INDLV(INION,J)). AND.
* ((IPQL.GE.PQUANT1(INDLV(INION,J)).AND.
* IPQL.LE.PQUANT2(INDLV(INION,J))).OR.
* (IPQL.EQ.-1)) .AND.
* ((ISQL.GE.SQUANT1(INDLV(INION,J)).AND.
* ISQL.LE.SQUANT2(INDLV(INION,J))).OR.
* (ISQL.EQ.-1)) .AND.
* ((ILQL.GE.LQUANT1(INDLV(INION,J)).AND.
* ILQL.LE.LQUANT2(INDLV(INION,J))).OR.
* (ILQL.EQ.-1))
* ) THEN
IND=J
INMATCHL=INMATCHL+1
C GO TO 320
END IF
310 CONTINUE
IF (INMATCHL.GT.1)
* WRITE(11,'(A55,1X,F12.4)')
* ' NLTSET: WARNING-- multiple matches for lower level of ',
* ALAM0
IF (INMATCHL.GT.0) GO TO 320
ILWN=0
IUN=0
GO TO 350
320 CONTINUE
ILWN=INDLV(INION,IND)
C
C
IND=0
INMATCHU=0
DO 330 J=1,NLEVS(INION)
IF(EXCU.GE.ENION1(INDLV(INION,J)) .AND.
* EXCU.LE.ENION2(INDLV(INION,J)). AND.
* ((IPQU.GE.PQUANT1(INDLV(INION,J)).AND.
* IPQU.LE.PQUANT2(INDLV(INION,J))).OR.
* (IPQU.EQ.-1)) .AND.
* ((ISQU.GE.SQUANT1(INDLV(INION,J)).AND.
* ISQU.LE.SQUANT2(INDLV(INION,J))).OR.
* (ISQU.EQ.-1)) .AND.
* ((ILQU.GE.LQUANT1(INDLV(INION,J)).AND.
* ILQU.LE.LQUANT2(INDLV(INION,J))).OR.
* (ILQU.EQ.-1))
* ) THEN
IND=J
INMATCHU=INMATCHU+1
C GO TO 340
END IF
330 CONTINUE
IF (INMATCHU.GT.1)
* WRITE(11,'(A55,1X,F12.4)')
* ' NLTSET: WARNING-- multiple matches for upper level of ',
* ALAM0
IF (INMATCHU.GT.0) GO TO 340
IUN=0
GO TO 350
340 CONTINUE
IUN=INDLV(INION,IND)
350 CONTINUE
IF (INMATCHL.EQ.0.or.INMATCHU.EQ.0) THEN
ILMATCH=0
ELSE IF (INMATCHL.GT.1.or.INMATCHU.GT.1) THEN
ILMATCH=2
ELSE
ILMATCH=1
ENDIF
ELSE
write(11,*)('ILIMITS is neither 0 or 1')
END IF
if(inlte.gt.0.and.iprin.ge.1)
* WRITE(11,'(10x,2(i2,1x),3x,3(F10.3,1x),2(i4,1x))')IAT,ION,
* ALAM0,EXCL,EXCU,ILWN,IUN
END IF
C
400 IF(NEVEN(INION).LT.0) THEN
NEV1=-NEVEN(INION)
IF(IEVEN.EQ.1) THEN
ILWN=0
J=1
DO WHILE (ILWN.EQ.0 .AND. J.LE.NEV1)
IF(QL.EQ.ELIMEV(INION,J)) THEN
DE=ENREV(INION,J)
IF(EXCL.NE.0.) DE=(EXCL-DE)/EXCL
IF(ABS(DE).LT.1.D-5) ILWN=INDEV(INION,J)
END IF
J=J+1
END DO
IUN=0
J=1
DO WHILE (IUN.EQ.0 .AND. J.LE.NODD(INION))
IF(QU.EQ.ELIMOD(INION,J)) THEN
DE=(EXCU-ENROD(INION,J))/EXCU
IF(ABS(DE).LT.1.D-5) IUN=INDOD(INION,J)
END IF
J=J+1
END DO
ELSE IF(IEVEN.EQ.0) THEN
ILWN=0
J=1
DO WHILE (ILWN.EQ.0 .AND. J.LE.NODD(INION))
IF(QL.EQ.ELIMOD(INION,J)) THEN
DE=ENROD(INION,J)
IF(EXCL.NE.0.) DE=(EXCL-DE)/EXCL
IF(ABS(DE).LT.1.D-5) ILWN=INDOD(INION,J)
END IF
J=J+1
END DO
IUN=0
J=1
DO WHILE (IUN.EQ.0 .AND. J.LE.NEV1)
IF(QU.EQ.ELIMEV(INION,J)) THEN
DE=(EXCU-ENREV(INION,J))/EXCU
IF(ABS(DE).LT.1.D-5) IUN=INDEV(INION,J)
END IF
J=J+1
END DO
END IF
END IF
C
IF(INLTE.EQ.5) THEN
INNLT0=INNLT0+1
INDNLT(IL)=INNLT0
ELSE IF(INLTE.EQ.4) THEN
IF(ILWN.GT.0.AND.IUN.GT.0) THEN
INDNLT(IL)=-1
END IF
ELSE IF(INLTE.EQ.3) THEN
IF(ILWN.GT.0) THEN
INDNLT(IL)=-1
END IF
ELSE
INDNLT(IL)=-1
END IF
BNUL(IL)=real(BN*(FREQ0(IL)*1.E-15)**3)
ILOWN(IL)=ILWN
IUPN(IL)=IUN
RETURN
END
C
C ********************************************************************
C ********************************************************************
C
C
SUBROUTINE PHTION(ID,ABSO,EMIS,FRE,NFRE)
C ========================================
C
C Opacity due to detailed photoionization (read from tables by
C routine READPH)
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
INCLUDE 'LINDAT.FOR'
COMMON/PHOTCS/PHOT(MFRQ,MPHOT),WPHT0,WPHT1,APHT(MPHOT),
* EPHT(MPHOT),GPHT(MPHOT),JPHT(MPHOT),
* NPHT
DIMENSION ABSO(MFRQ),EMIS(MFRQ),PLANF(MFRQ),STIMU(MFRQ)
DIMENSION FRE(MFRQ)
PARAMETER (C3=1.4387886)
C
IF(NPHT.LE.0) RETURN
T=TEMP(ID)
DO 10 IJ=1,NFRE
XX=FRE(IJ)
X15=XX*1.E-15
BNU=BN*X15*X15*X15
HKF=HK*XX
EXH=EXP(HKF/T)
PLANF(IJ)=BNU/(EXH-1.)
STIMU(IJ)=1.-1./EXH
10 CONTINUE
DO 30 I=1,NPHT
IF(JPHT(I).LE.0) THEN
IAT=int(APHT(I))
X=(APHT(I)-FLOAT(IAT)+1.E-4)*1.E2
ION=INT(X)+1
POP=RRR(ID,ION,IAT)*GPHT(I)*EXP(-EPHT(I)*C3/T)
ELSE
JJ=JPHT(I)
POP=POPUL(JJ,ID)
END IF
DO 20 IJ=1,NFRE
AB=PHOT(IJ,I)*POP*STIMU(IJ)
ABSO(IJ)=ABSO(IJ)+AB
EMIS(IJ)=EMIS(IJ)+AB*PLANF(IJ)
20 CONTINUE
30 CONTINUE
RETURN
END
C
C ********************************************************************
C ********************************************************************
C
SUBROUTINE NLTE(IL,ILW,IUN,GI,GJ)
C ===========================================
C
C Control procedure for the NLTE option
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'LINDAT.FOR'
COMMON/NLTPOP/PNLT(MATOM,MION,MDEPTH)
PARAMETER (UN = 1.,
* C3 = 1.4387886,
* XET = 8067.6,
* XET3 = XET*C3)
C
C CALCULATION OF THE
C CENTRAL OPACITY (ABCENT) AND THE LINE SOURCE FUNCTION (SLIN)
C
if(gi.le.0..or.gj.le.0.) return
ILNLT=INDNLT(IL)
IF(ILNLT.LE.0) RETURN
IAT=INDAT(IL)/100
ION=MOD(INDAT(IL),100)
EGF=EXP(GF0(IL))
BNU=BN*(FREQ0(IL)*1.E-15)**3
DP0=3.33564E-11*FREQ0(IL)
DP1=1.651E8/AMAS(IAT)
IF(ILW.LE.0) GO TO 100
C
C line is a transition between explicit levels of the
C input model
C
NKI=NNEXT(IEL(ILW))
DO 60 ID=1,ND
T=TEMP(ID)
COR=1.
PP=PNLT(IAT,ION,ID)
IF(ILW.GT.0) THEN
PI=POPUL(ILW,ID)/G(ILW)
ELSE
PI=PP*EXP((ENEV(IAT,ION)*XET3-EXCL0(IL))/T)
END IF
IF(IUN.GT.0) THEN
PJ=POPUL(IUN,ID)/G(IUN)
cor=(excu0(il)-excl0(il)+
* (enion(iun)-enion(ilw))/1.38054e-16)/t
cor=exp(cor)
ELSE
PJ=PP*EXP((ENEV(IAT,ION)*XET3-EXCU0(IL))/T)
END IF
if(pj.gt.0.) then
X=PI/PJ*cor
else
x=un
end if
IF(X.EQ.UN) X=EXP(4.79928E-11*FREQ0(IL)/T)
DOP=DP0*SQRT(DP1*T+VTURB(ID))
SLIN(ILNLT,ID)=BNU/(X-UN)
if(pi.gt.0.) ABCENT(ILNLT,ID)=PI*(UN-UN/X)*EGF/DOP
60 CONTINUE
RETURN
C
C Approximate NLTE for resonance lines - second order escape
C probablity theory form of the source function
C
C Optical depth scale
C
100 CONTINUE
ALMIL=2.997925E17/FREQ0(IL)
HKF=HK*FREQ0(IL)
DO 110 ID=1,ND
T=TEMP(ID)
DOP=DP0*SQRT(DP1*T+VTURB(ID))
X=EXP(HKF/T)
ABCENT(ILNLT,ID)=EGF*EXP(-EXCL0(IL)/T)*RRR(ID,ION,IAT)/
* DOP*(1.-1./X)
AB=ABSTD(ID)+ABCENT(ILNLT,ID)*1.77245
if(ifwin.gt.0)
* AB=ABSTDW(IJCONT(IL),ID)+ABCENT(ILNLT,ID)*1.77245
IF(ID.EQ.1) THEN
ABM=AB/DENS(1)
TAU=0.5*DM(1)*ABM
ELSE
AB0=AB/DENS(ID)
TAU=TAU+0.5*(DM(ID)-DM(ID-1))*(AB0+ABM)
ABM=AB0
END IF
C
C approximate epsilon after Kastner
C
E=EPS(T,ELEC(ID),ALMIL,ION,IUN)
XK2=XK2DOP(TAU)
SLIN(ILNLT,ID)=SQRT(E/(E+(1.-E)*XK2))*BNU/(X-1.)
110 CONTINUE
RETURN
END
C
C ********************************************************************
C
C
SUBROUTINE LINOP(ID,ABLIN,EMLIN,AVAB)
C =====================================
C
C TOTAL LINE OPACITY (ABLIN) AND EMISSIVITY (EMLIN)
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
INCLUDE 'LINDAT.FOR'
PARAMETER (UN = 1.,
* EXT0 = 3.17,
* TEN = 10.,
* C3 = 1.4387886,
* XET = 8067.6,
* XET3 = XET*C3)
DIMENSION ABLIN(MFREQ),EMLIN(MFREQ),ABLINN(MFREQ)
COMMON/PRFQUA/DOPA1(MATOM,MDEPTH),VDWC(MDEPTH)
COMMON/NLTPOP/PNLT(MATOM,MION,MDEPTH)
common/lasers/lasdel
C
DO 10 IJ=1,NFREQ
ABLIN(IJ)=0.
ABLINN(IJ)=0.
EMLIN(IJ)=0.
10 CONTINUE
C
IF(NLIN.EQ.0) RETURN
C
C overall loop over contributing lines
C
TEM1=UN/TEMP(ID)
DO 100 I=1,NLIN
IL=INDLIN(I)
INNLT=INDNLT(IL)
IAT=INDAT(IL)/100
ION=MOD(INDAT(IL),100)
LPR=.TRUE.
ISP=ISPRF(IL)
IF(ISP.GT.1.AND.ISP.LE.5) LPR=.FALSE.
IF (ISP.GE.6) GO TO 100
CALL PROFIL(IL,IAT,ID,AGAM)
DOP1=DOPA1(IAT,ID)
FR0=FREQ0(IL)
IF(INNLT.EQ.0) THEN
AB0=EXP(GF0(IL)-EXCL0(IL)*TEM1)*RRR(ID,ION,IAT)*
* DOP1*STIM(ID)
ELSE IF(INNLT.GT.0) THEN
AB0=ABCENT(INNLT,ID)
SL0=SLIN(INNLT,ID)
ELSE
ILW=ILOWN(IL)
IUN=IUPN(IL)
COR=1.
PP=PNLT(IAT,ION,ID)
IF(ILW.GT.0) THEN
PI=POPUL(ILW,ID)/G(ILW)
ELSE
PI=PP*EXP((ENEV(IAT,ION)*XET3-EXCL0(IL))*TEM1)
END IF
IF(IUN.GT.0) THEN
PJ=POPUL(IUN,ID)/G(IUN)
cor=(excu0(il)-excl0(il)+
* (enion(iun)-enion(ilw))/1.38054e-16)*tem1
cor=exp(cor)
ELSE
PJ=PP*EXP((ENEV(IAT,ION)*XET3-EXCU0(IL))*TEM1)
END IF
if(pj.gt.0.) then
X=PI/PJ*cor
else
x=un
end if
IF(X.EQ.UN) X=EXP(4.79928E-11*FREQ0(IL)*TEM1)
SL0=BNUL(IL)/(X-UN)
ab0=0.
if(pi.gt.0.) AB0=PI*(UN-UN/X)*EXP(GF0(IL))*DOP1
END IF
if(ab0.le.0.and.lasdel) go to 100
C
C set up limiting frequencies where the line I is supposed to
C contribute to the opacity
C
EX0=AB0/AVAB*AGAM
EXT=EXT0
IF(EX0.GT.TEN) EXT=SQRT(EX0)
EXT=EXT/DOP1
XIJEXT=DFRCON*EXT+1.5
c IJ1=MAX(IJCNTR(I)-IJEXT,3)
c IJ2=MIN(IJCNTR(I)+IJEXT,NFREQS)
IJ1=int(MAX(float(IJCNTR(I))-XIJEXT,3.))
IJ2=int(MIN(float(IJCNTR(I))+XIJEXT,float(NFREQS)))
IF(IJ1.GE.NFREQ.OR.IJ2.LE.2) GO TO 100
C
IF(INNLT.EQ.0) THEN
C
C *********
C LTE lines
C *********
C
IF(LPR) THEN
C
DO 40 IJ=IJ1,IJ2
XF=ABS(FREQ(IJ)-FR0)*DOP1
ABLIN(IJ)=ABLIN(IJ)+AB0*VOIGTK(AGAM,XF)
40 CONTINUE
C
C special expressions for 4 selected He I lines
C
ELSE
DO 60 IJ=3,NFREQ
FR=FREQ(IJ)
ABL=AB0*PHE1(ID,FR,ISP-1)
ABLIN(IJ)=ABLIN(IJ)+ABL
60 CONTINUE
END IF
C
C **********
C NLTE LINES
C **********
C
ELSE
IF(LPR) THEN
C
DO 80 IJ=IJ1,IJ2
XF=ABS(FREQ(IJ)-FR0)*DOP1
ABL=AB0*VOIGTK(AGAM,XF)
ABLINN(IJ)=ABLINN(IJ)+ABL
EMLIN(IJ)=EMLIN(IJ)+ABL*SL0
80 CONTINUE
C
C again, special expressions for 4 selected He I lines
C
ELSE
DO 90 IJ=3,NFREQ
FR=FREQ(IJ)
ABL=AB0*PHE1(ID,FR,ISP-1)
ABLINN(IJ)=ABLINN(IJ)+ABL
EMLIN(IJ)=EMLIN(IJ)+ABL*SL0
90 CONTINUE
END IF
END IF
100 CONTINUE
C
DO 110 IJ=3,NFREQ
EMLIN(IJ)=EMLIN(IJ)+ABLIN(IJ)*PLAN(ID)
ABLIN(IJ)=ABLIN(IJ)+ABLINN(IJ)
110 CONTINUE
C
C special routine for selected He II lines
C
IF(NSP.EQ.0) RETURN
DO 120 IS=1,NSP
ISP=ISP0(IS)
IF(ISP.GE.6.AND.ISP.LE.24) CALL PHE2(ISP,ID,ABLIN,EMLIN)
120 CONTINUE
C
RETURN
END
C
C ********************************************************************
C
C
SUBROUTINE LINOPW(ID,ABLIN,EMLIN)
C =================================
C
C TOTAL LINE OPACITY (ABLIN) AND EMISSIVITY (EMLIN)
C (a variant for winds)
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
INCLUDE 'LINDAT.FOR'
INCLUDE 'WINCOM.FOR'
COMMON/BLAPAR/RELOP,SPACE0,CUTOF0,TSTD,DSTD,ALAMC
PARAMETER (UN = 1.,
* EXT0 = 3.17,
* TEN = 10.,
* C3 = 1.4387886,
* XET = 8067.6,
* XET3 = XET*C3)
DIMENSION ABLIN(MFREQ),EMLIN(MFREQ),ABLINN(MFREQ)
COMMON/PRFQUA/DOPA1(MATOM,MDEPTH),VDWC(MDEPTH)
COMMON/NLTPOP/PNLT(MATOM,MION,MDEPTH)
COMMON/IPOTLS/IPOTL(mlin0)
common/lasers/lasdel
common/linrej/ilne(mdepth),ilvi(mdepth)
common/velaux/velmax,iemoff,nltoff,itrad
C
DO 10 IJ=1,NFREQ
ABLIN(IJ)=0.
ABLINN(IJ)=0.
EMLIN(IJ)=0.
10 CONTINUE
wdil(id)=1.
plw=plan(id)*wdil(id)
c plw=xjcon(id)
C
IF(NLIN.EQ.0) RETURN
C
C overall loop over contributing lines
C
TEM1=UN/TEMP(ID)
HKT=HK*TEM1
xx=freq(nopac)-freq(1)
DFRCON=NOPAC-1
DFRCON=-DFRCON/XX
IFRCON=int(DFRCON)
DO 100 I=1,NLIN
IL=INDLIN(I)
INNLT=INDNLT(IL)
c
c rejecting lines for v > velmax
c
if(ilvi(id).gt.0) then
if(innlt.eq.0) then
go to 100
else
if(nltoff.ne.0) go to 100
end if
end if
c
c
c frequency indices of the line centers
c
if (id.eq.1) then
fr0=freq0(il)
XJC=3.+DFRCON*(FREQ(1)-FR0)
IJC=int(XJC)
IJCNTR(I)=IJC
if(ijc.le.1.or.ijc.ge.nopac) go to 255
if(fr0.lt.freq(ijc)) then
ijc0=ijc
dfr0=freq(ijc0)-fr0
252 ijc0=ijc0+1
dfr=abs(freq(ijc0)-fr0)
if(dfr.lt.dfr0) then
ijc=ijc0
ijc0=ijc0+1
dfr0=dfr
go to 252
end if
else if(fr0.gt.freq(ijc)) then
ijc0=ijc
dfr0=fr0-freq(ijc0)
254 ijc0=ijc0-1
dfr=abs(freq(ijc0)-fr0)
if(dfr.lt.dfr0) then
ijc=ijc0
ijc0=ijc0-1
dfr0=dfr
go to 254
end if
end if
IJCNTR(I)=IJC
255 continue
c write(80,*) i,ijcntr(i),2.997925e18/freq0(il)
endif
c
IAT=INDAT(IL)/100
ION=MOD(INDAT(IL),100)
FR0=FREQ0(IL)
LPR=.TRUE.
ISP=ISPRF(IL)
IF(ISP.GT.1.AND.ISP.LE.5) LPR=.FALSE.
IF (ISP.GE.6) GO TO 100
CALL PROFIL(IL,IAT,ID,AGAM)
DOP1=DOPA1(IAT,ID)/FR0
FR0=FREQ0(IL)
IF(INNLT.EQ.0) THEN
if(itrad.le.0) then
AB0=EXP(GF0(IL)-EXCL0(IL)*TEM1)*RRR(ID,ION,IAT)*
* DOP1*(1.-exp(-hkt*fr0))
else
trl=trad(ipotl(il),id)
xx=exp(-hkt*fr0)
AB0=EXP(GF0(IL)-EXCL0(IL)/trl)*RRR(ID,ION,IAT)*
* DOP1*(1.-xx)
if(excl0(il).gt.2000.) ab0=ab0*wdil(id)
pla=1.4743e-2*(fr0*1.e-15)**3*xx/(1.-xx)
sl0=pla*wdil(id)
end if
ELSE IF(INNLT.GT.0) THEN
AB0=ABCENT(INNLT,ID)
SL0=SLIN(INNLT,ID)
ELSE
ILW=ILOWN(IL)
IUN=IUPN(IL)
COR=1.
PP=PNLT(IAT,ION,ID)
IF(ILW.GT.0) THEN
PI=POPUL(ILW,ID)/G(ILW)
ELSE
PI=PP*EXP((ENEV(IAT,ION)*XET3-EXCL0(IL))*TEM1)
END IF
IF(IUN.GT.0) THEN
PJ=POPUL(IUN,ID)/G(IUN)
cor=(excu0(il)-excl0(il)+
* (enion(iun)-enion(ilw))/1.38054e-16)*tem1
cor=exp(cor)
ELSE
PJ=PP*EXP((ENEV(IAT,ION)*XET3-EXCU0(IL))*TEM1)
END IF
if(pj.gt.0.) then
X=PI/PJ*cor
else
x=un
end if
IF(X.EQ.UN) X=EXP(4.79928E-11*FREQ0(IL)*TEM1)
SL0=BNUL(IL)/(X-UN)
ab0=0.
if(pi.gt.0.) AB0=PI*(UN-UN/X)*EXP(GF0(IL))*DOP1
END IF
if(ab0.le.0.and.lasdel) go to 100
C
C set up limiting frequencies where the line I is supposed to
C contribute to the opacity
C
c if(ifwin.le.0) then
avabw=abstdw(ijcont(il),id)*relop
EX0=AB0/AVABw*AGAM
EXT=EXT0
IF(EX0.GT.TEN) EXT=SQRT(EX0)
EXT=EXT/DOP1
IJEXT=int((DFRCON*EXT)+1.5)
IJ1=MAX(IJCNTR(I)-IJEXT,1)
IJ2=MIN(IJCNTR(I)+IJEXT,NFREQ)
IF(IJ1.GE.NFREQ.OR.IJ2.LE.2) GO TO 100
c else
c ij1=3
c ij2=nfreq
c end if
C
IF(INNLT.EQ.0.and.itrad.le.0) THEN
C
C *********
C LTE lines
C *********
C
IF(LPR) THEN
C
DO 40 IJ=IJ1,IJ2
XF=ABS(FREQ(IJ)-FR0)*DOP1
ABLIN(IJ)=ABLIN(IJ)+AB0*VOIGTK(AGAM,XF)
40 CONTINUE
C
C special expressions for 4 selected He I lines
C
ELSE
DO 60 IJ=1,NFREQ
FR=FREQ(IJ)
ABL=AB0*PHE1(ID,FR,ISP-1)
ABLIN(IJ)=ABLIN(IJ)+ABL
60 CONTINUE
END IF
C
C **********
C NLTE LINES
C **********
C
ELSE
IF(LPR) THEN
C
DO 80 IJ=IJ1,IJ2
XF=ABS(FREQ(IJ)-FR0)*DOP1
ABL=AB0*VOIGTK(AGAM,XF)
ABLINN(IJ)=ABLINN(IJ)+ABL
if(ilne(id).gt.0) go to 80
EMLIN(IJ)=EMLIN(IJ)+ABL*SL0
80 CONTINUE
C
C again, special expressions for 4 selected He I lines
C
ELSE
DO 90 IJ=1,NFREQ
FR=FREQ(IJ)
ABL=AB0*PHE1(ID,FR,ISP-1)
ABLINN(IJ)=ABLINN(IJ)+ABL
if(ilne(id).gt.0) go to 90
EMLIN(IJ)=EMLIN(IJ)+ABL*SL0
90 CONTINUE
END IF
END IF
100 CONTINUE
C
if(vel(id).le.velmax) then
DO 110 IJ=1,NFREQ
PLA=BNUE(IJ)/(EXP(HKT*FREQ(IJ))-1.)
EMLIN(IJ)=EMLIN(IJ)+ABLIN(IJ)*pla*wdil(id)
ABLIN(IJ)=ABLIN(IJ)+ABLINN(IJ)
110 CONTINUE
end if
C
C special routine for selected He II lines
C
IF(NSP.EQ.0) RETURN
DO 120 IS=1,NSP
ISP=ISP0(IS)
IF(ISP.GE.6.AND.ISP.LE.24) CALL PHE2(ISP,ID,ABLIN,EMLIN)
120 CONTINUE
C
RETURN
END
C
C
C ********************************************************************
C
C
SUBROUTINE PROFIL(IL,IAT,ID,AGAM)
C =================================
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
INCLUDE 'LINDAT.FOR'
COMMON/PRFQUA/DOPA1(MATOM,MDEPTH),VDWC(MDEPTH)
DIMENSION WGR(4)
PARAMETER (PI4=7.95774715E-2)
C
IPRF=IPRF0(IL)
T=TEMP(ID)
ANE=ELEC(ID)
C
C radiative broadening (classical)
C
AGAM=GAMR0(IL)
C
C Stark broadening - standard (given in the line list or classical)
C
IF(IPRF.EQ.0) THEN
AGAM=AGAM+GS0(IL)*ANE
C
C Stark broadening - special expressions for He I
C
ELSE IF(IPRF.GT.0) THEN
ANP=POPUL(NKH,ID)
CALL GAMHE(IPRF,T,ANE,ANP,ID,GAM)
AGAM=AGAM+GAM
C
C Stark broadening - Griem
C
ELSE
DO 10 I=1,4
10 WGR(I)=WGR0(I,IGRIEM(IL))
FR=FREQ0(IL)
ION=MOD(INDAT(IL),100)
CALL GRIEM(ID,T,ANE,ION,FR,WGR,GAM)
AGAM=AGAM+GAM
END IF
C
C Van Der Waals broadening
C
AGAM=AGAM+GW0(IL)*VDWC(ID)
C
C final Voigt parameter a
C
DOP1=DOPA1(IAT,ID)
if(ifwin.gt.0) DOP1=DOP1/FREQ0(IL)
AGAM=AGAM*DOP1*PI4
C
RETURN
END
C
C ********************************************************************
C
SUBROUTINE GRIEM(ID,T,ANE,ION,FR,WGR,GAM)
C =========================================
C
C STARK DAMPING PARAMETER (GAM) CALCULATED FROM INPUT VALUES
C OF STARK WIDTHS FOR T=5000, 10000, 20000, 40000 K,
C AND FOR NE=1.E16 (FOR NEUTRALS) OR NE = 1.E17 (FOR IONS)
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
DIMENSION WGR(4)
if(t.le.0.) return
J=JT(ID)
GAM=(TI0(ID)*WGR(J)+TI1(ID)*WGR(J-1)+TI2(ID)*WGR(J-2))
* *ANE*1.E-10*FR*1.E-10*FR*4.2E-14
IF(ION.GT.1) GAM=GAM*0.1
IF(GAM.LT.0.) GAM=0.
RETURN
END
C
C ********************************************************************
C
SUBROUTINE GAMHE(IND,T,ANE,ANP,ID,GAM)
C ======================================
C
C NEUTRAL HELIUM STARK BROADENING PARAMETERS
C AFTER DIMITRIJEVIC AND SAHAL-BRECHOT, 1984, J.Q.S.R.T. 31, 301
C OR FREUDENSTEIN AND COOPER, 1978, AP.J. 224, 1079 (FOR C(IND).GT.0)
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
DIMENSION W(5,20),V(4,20),C(20)
C
C ELECTRONS T= 5000 10000 20000 40000 LAMBDA
C
DATA W / 5.990, 6.650, 6.610, 6.210, 3819.60,
* 2.950, 3.130, 3.230, 3.300, 3867.50,
* 0.000, 0.000, 0.000, 0.000, 3871.79,
* 0.142, 0.166, 0.182, 0.190, 3888.65,
* 0.000, 0.000, 0.000, 0.000, 3926.53,
* 1.540, 1.480, 1.400, 1.290, 3964.73,
* 41.600, 50.500, 57.400, 65.800, 4009.27,
* 1.320, 1.350, 1.380, 1.460, 4120.80,
* 7.830, 8.750, 8.690, 8.040, 4143.76,
* 5.830, 6.370, 6.820, 6.990, 4168.97,
* 0.000, 0.000, 0.000, 0.000, 4437.55,
* 1.630, 1.610, 1.490, 1.350, 4471.50,
* 0.588, 0.620, 0.641, 0.659, 4713.20,
* 2.600, 2.480, 2.240, 1.960, 4921.93,
* 0.627, 0.597, 0.568, 0.532, 5015.68,
* 1.050, 1.090, 1.110, 1.140, 5047.74,
* 0.277, 0.298, 0.296, 0.293, 5875.70,
* 0.714, 0.666, 0.602, 0.538, 6678.15,
* 3.490, 3.630, 3.470, 3.190, 4026.20,
* 4.970, 5.100, 4.810, 4.310, 4387.93/
C
C PROTONS T= 5000 10000 20000 40000
C
DATA V / 1.520, 4.540, 9.140, 10.200,
* 0.607, 0.710, 0.802, 0.901,
* 0.000, 0.000, 0.000, 0.000,
* 0.0396, 0.0434, 0.0476, 0.0526,
* 0.000, 0.000, 0.000, 0.000,
* 0.507, 0.585, 0.665, 0.762,
* 0.930, 1.710, 13.600, 27.200,
* 0.288, 0.325, 0.365, 0.410,
* 1.330, 6.800, 12.900, 14.300,
* 1.100, 1.370, 1.560, 1.760,
* 0.000, 0.000, 0.000, 0.000,
* 1.340, 1.690, 1.820, 1.630,
* 0.128, 0.143, 0.161, 0.181,
* 2.040, 2.740, 2.950, 2.740,
* 0.187, 0.210, 0.237, 0.270,
* 0.231, 0.260, 0.291, 0.327,
* 0.0591, 0.0650, 0.0719, 0.0799,
* 0.231, 0.260, 0.295, 0.339,
* 2.180, 3.760, 4.790, 4.560,
* 1.860, 5.320, 7.070, 7.150/
DATA C /2*0.,1.83E-4,0.,1.13E-4,5*0.,1.6E-4,9*0./
C
IF(W(1,IND).EQ.0.) GO TO 10
J=JT(ID)
GAM=((TI0(ID)*W(J,IND)+TI1(ID)*W(J-1,IND)+TI2(ID)*W(J-2,IND))
* *ANE
* +(TI0(ID)*V(J,IND)+TI1(ID)*V(J-1,IND)+TI2(ID)*V(J-2,IND))
* *ANP)*1.884E3/W(5,IND)**2
IF(GAM.LT.0.) GAM=0.
RETURN
10 GAM=C(IND)*T**0.16667*ANE
RETURN
END
C
C ********************************************************************
C
FUNCTION EPS(T,ANE,ALAM,ION,N)
C ==============================
C
C NLTE PARAMETER EPSILON (COLLISIONAL/SPONTANEOUS DEEXCITATION)
C AFTER KASTNER, 1981, J.Q.S.R.T. 26, 377
C
INCLUDE 'PARAMS.FOR'
DATA CK0,CK1 /7.75E-8, 2.58E-8/
X=1.438E8/ALAM/T
XKT=12390./ALAM
TT=0.75*X
T1=TT+1.
A=4.36E7*XKT*XKT/(1.-EXP(-X))
IF(ION.EQ.1) GO TO 10
B=1.1+LOG(T1/TT)-0.4/T1/T1
C=X*B*SQRT(T)/XKT/XKT*ANE
IF(N.EQ.0) C=CK0*C
IF(N.NE.0) C=CK1*C
GO TO 20
10 C=2.16/T/SQRT(T)/X**1.68*ANE
20 EPS=C/(C+A)
RETURN
END
C
C ********************************************************************
C
FUNCTION XK2DOP(TAU)
C ====================
C
C KERNEL FUNCTION K2 (AUXILIARY PROCEDURE TO NLTE)
C AFTER HUMMER, 1981, J.Q.S.R.T. 26, 187
C
INCLUDE 'PARAMS.FOR'
DATA PI2SQ,PISQ /2.506628275D0, 1.772453851D0/
DATA A0,A1,A2,A3,A4 /
* 1.D0, -1.117897000D-1, -1.249099917D-1, -9.136358767D-3,
* -3.370280896D-4/
DATA B0,B1,B2,B3,B4,B5 /
* 1.D0, 1.566124168D-1, 9.013261660D-3, 1.908481163D-4,
* -1.547417750D-7, -6.657439727D-9/
DATA C0,C1,C2,C3,C4 /
* 1.0D0, 1.915049608D01, 1.007986843D02, 1.295307533D02,
* -3.143372468D01/
DATA D0,D1,D2,D3,D4,D5/
* 1.D0, 1.968910391D01, 1.102576321D02, 1.694911399D02,
* -1.669969409D01, -3.666448000D01/
XK2DOP=1.D0
IF(TAU.LE.0.) RETURN
IF(TAU.GT.11.) GO TO 10
P=A0+TAU*(A1+TAU*(A2+TAU*(A3+TAU*A4)))
Q=B0+TAU*(B1+TAU*(B2+TAU*(B3+TAU*(B4+TAU*B5))))
XK2DOP=TAU/PI2SQ*LOG(TAU/PISQ)+P/Q
RETURN
10 X=1.D0/LOG(TAU/PISQ)
P=C0+X*(C1+X*(C2+X*(C3+X*C4)))
Q=D0+X*(D1+X*(D2+X*(D3+X*(D4+X*D5))))
XK2DOP=P/Q/2.D0/TAU/SQRT(LOG(TAU/PISQ))
RETURN
END
C
C ********************************************************************
C
SUBROUTINE INKUR
C ================
C
C Input of a Kurucz model atmosphere
C
C Input values (extracted from the Kurucz files):
C TEF, G - effective temperature, log g (appears only in output)
C ND - number of depth points
C and for each depth:
C DM - m, m is the mass depth coordinate
C T - temperature
C P - gass pressure
C ANE - electron density
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
DIMENSION POP(MLEVEL),ES(MLEVEL,MLEVEL),BS(MLEVEL),POPLTE(MLEVEL)
COMMON POP,ES,BS
C
READ(8,501) TEF,GRAV
READ(8,502) ND
ND=ND-1
501 FORMAT(4X,F8.0,9X,F8.5)
c 502 FORMAT(/////////////////////10X,I3)
502 FORMAT(/////////////////////10X,I3/)
WRITE(6,600) TEF,GRAV
DO 10 ID=1,ND
READ(8,*) DM(ID),TEMP(ID),P,ELEC(ID)
AN=P/TEMP(ID)/BOLK
DENS(ID)=WMM(ID)*(AN-ELEC(ID))
WRITE(6,601) ID,DM(ID),TEMP(ID),ELEC(ID),DENS(ID)
T=TEMP(ID)
IF(IFMOL.GT.0.AND.T.LT.TMOLIM) THEN
c AN=TOTN(ID)
AEIN=ELEC(ID)
CALL MOLEQ(ID,T,AN,AEIN,ANE,1)
ELSE
DO IAT=1,NATOM
ATTOT(IAT,ID)=DENS(ID)/WMM(ID)/YTOT(ID)*ABUND(IAT,ID)
END DO
END IF
c WRITE(6,601) ID,DM(ID),TEMP(ID),ELEC(ID),DENS(ID)
CALL WNSTOR(ID)
CALL SABOLF(ID)
CALL RATMAT(ID,ES,BS)
CALL LEVSOL(ES,BS,POPLTE,NLEVEL)
DO J=1,NLEVEL
POPUL(J,ID)=POPLTE(J)
END DO
10 CONTINUE
c WRITE(77,503) ND, 3
c WRITE(77,504) (DM(ID),ID=1,ND)
DO ID=1,ND
WRITE(77,504) TEMP(ID),ELEC(ID),DENS(ID)
END DO
c
CLOSE(8)
c
504 FORMAT(1P6E13.6)
600 FORMAT(' INPUT KURUCZ MODEL FOR TEFF=',F7.0,' LOG G =',
* F7.2//1H ,7X,'MASS',9X,'T',9X,'NE',9X,'DENS'/
* '-----------------------------------------------'/)
601 FORMAT(1H ,I5,1PE10.3,0PF10.1,1P2E12.3)
RETURN
END
C
C ********************************************************************
C
C
C
SUBROUTINE INPMOD
C =================
C
C Read an initial model atmosphere from unit 8
C File 8 contains:
C 1. NDPTH - number of depth points in which the initial model is
C given (if not equal to ND, routine interpolates
C automatically to the set DM by linear interpolation
C in log(DM)
C NUMPAR - number of input model parameters in each depth
C = 3 for LTE model - ie. N, T, N(electron);
C > 3 for NLTE model)
C 2. DEPTH(ID),ID=1,NDPTH - mass-depth points for the input model
C 3. for each depth:
C T - temperature
C ANE - electron density
C RHO - mass density
C level populations - only for NLTE input model
C Number of input level populations need not be
C equal to NLEVEL; in that case the procedure
C CHANGE is called from START to calculate the
C remaining level populations
C
C Note: The output file 7, which is created by this program
C (procedure OUTPUT) has the same structure as file 8
C and may thus be used as input to another run of the
C program
C INTRPL - switch indicating whether (and, if so, how) interpolate
C the initial model if the depth scales for the input model
C and the present depth scale are different
C = 0 - no interpolation, i.e. scale DEPTH coincides with DM
C > 0 - polynomial interpolation of the (INTRPL-1)th order
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
PARAMETER (MINPUT=MLEVEL+4)
DIMENSION ESEMAT(MLEVEL,MLEVEL),BESE(MLEVEL),POPLTE(MLEVEL),
* TOTN(MDEPTH),PLTE(MLEVEL,MDEPTH)
COMMON ESEMAT,BESE,POPLTE,POPUL0(MLEVEL,MDEPTH),X(MINPUT),
* TEMP0(MDEPTH),ELEC0(MDEPTH),DENS0(MDEPTH),PPL0(MDEPTH),
* PPL(MDEPTH),DEPTH(MDEPTH),DM0(MDEPTH),DP(MDEPTH)
COMMON/NLTPOP/PNLT(MATOM,MION,MDEPTH)
common/quasex/iexpl(mlevel),iltot(mlevel)
C
NUMLT=3
IF(INMOD.EQ.2) NUMLT=4
READ(8,*) NDPTH,NUMPAR
READ(8,*) (DEPTH(I),I=1,NDPTH)
ND=NDPTH
NUMP=ABS(NUMPAR)
DO 30 ID=1,NDPTH
READ(8,*) (X(I),I=1,NUMP)
TEMP(ID)=X(1)
ELEC(ID)=X(2)
DENS(ID)=X(3)
TOTN(ID)=DENS(ID)/WMM(ID)+ELEC(ID)
CALL WNSTOR(ID)
CALL SABOLF(ID)
IP=NUMLT
IF(NUMPAR.LT.0) THEN
IP=IP+1
TOTN(ID)=X(IP)
END IF
IF(INMOD.EQ.2) IP=IP+1
c
c first compute LTE level populations for all levels,
c i.e. explicit, semi-explisit, and quasi-explicit
c
NLEV0=NLEVEL
TEMP(ID)=X(1)
ELEC(ID)=X(2)
DENS(ID)=X(3)
t=temp(id)
if(ifmol.gt.0.and.t.lt.tmolim) then
ipri=1
aein=elec(id)
an=totn(id)
call moleq(id,t,an,aein,ane,ipri)
else
if(imode.gt.-2) then
DO IAT=1,NATOM
ATTOT(IAT,ID)=DENS(ID)/WMM(ID)/YTOT(ID)*ABUND(IAT,ID)
END DO
else
DO IAT=1,NATOM
ATTOT(IAT,ID)=DENS(ID)/WMM(1)/YTOT(1)*ABUND(IAT,1)
END DO
end if
end if
CALL WNSTOR(ID)
CALL SABOLF(ID)
CALL RATMAT(ID,ESEMAT,BESE)
CALL LEVSOL(ESEMAT,BESE,POPLTE,NLEV0)
DO I=1,NLEV0
POPUL(I,ID)=POPLTE(I)
PLTE(I,ID)=POPLTE(I)
c if(id.eq.1) write(6,651) i,ip,popul(i,id),plte(i,id)
END DO
c
c if the input file fort.8 contains also NLTE level populations
c of b-factors, replace the LTE populations by those
c
IF(NUMP.GT.IP) THEN
NLEV0=NUMP-IP
DO I=1,NLEV0
j=iltot(i)
POPUL(J,ID)=X(IP+I)*RELAB(IATM(I),ID)
c if(id.eq.1) write(6,651) i,j,x(ip+i),popul(i,id)
c 651 format('in',2i4,1p2e12.4)
END DO
c DO I=1,NLEV0
c j=iltot(i)
c if(popul(j,id).le.0.) then
c IE=IEL(I)
c N0I=NFIRST(IE)
c NKI=NNEXT(IE)
c POPUL(J,ID)=ELEC(ID)*POPUL(iltot(NKI),ID)*SBF(I)
c end if
c END DO
c
c in the case the input "NLTE populations are in fact b-factors,
c compute the real populations
c
if(ibfac.eq.1) then
do i=1,nlev0
j=iltot(i)
popul(j,id)=popul(j,id)*plte(j,id)
end do
end if
END IF
30 CONTINUE
C
close(8)
c
write(6,600)
600 format(/' INPUT TLUSTY MODEL'/
* ' ------------------'/
* 1H ,8X,'MASS',9X,'T',9X,'NE',9X,'DENS'//)
nd=ndpth
DO 40 ID=1,ND
DM(ID)=DEPTH(ID)
write(6,601) id,dm(id),temp(id),elec(id),dens(id),
* popul(1,id)
601 format(i6,1pe10.3,0pf10.1,1p4e12.3)
40 CONTINUE
C
DO 100 ID=1,ND
BCON=ELEC(ID)/TEMP(ID)/SQRT(TEMP(ID))*2.0706E-16
DO 100 IONE=1,NION
ION=IZ(IONE)
IAT=NUMAT(IATM(NFIRST(IONE)))
NKI=NNEXT(IONE)
IF(ION.GT.0) PNLT(IAT,ION,ID)=POPUL(NKI,ID)/G(NKI)*BCON
100 CONTINUE
c
c check abundances
c
c CALL CHCKAB
RETURN
END
C
C ********************************************************************
C
C
SUBROUTINE INPBF
C ================
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
PARAMETER (MINPUT=MLEVEL+4)
DIMENSION DEPTH(MDEPTH),X(MINPUT,MDEPTH),XX(MDEPTH),BF(MDEPTH)
C
OPEN(8,FILE='bfactors',STATUS='OLD')
NUMLT=3
IF(INMOD.EQ.2) NUMLT=4
READ(8,*) NDPTH,NUMPAR
READ(8,*) (DEPTH(I),I=1,NDPTH)
IF(NUMPAR.LT.0) NUMLT=NUMLT+1
NUMP=ABS(NUMPAR)
DO ID=1,NDPTH
READ(8,*) (X(I,ID),I=1,NUMP)
END DO
CLOSE(8)
c
c interpolate the input b-factors to the original DM-scale;
c compute new NLTE populations
c
DO I=NUMLT+1,NUMP
DO ID=1,NDPTH
XX(ID)=X(I,ID)
END DO
CALL INTERP(DEPTH,XX,DM,BF,NDPTH,ND,2,1,1)
DO ID=1,ND
POPUL(I-NUMLT,ID)=POPUL(I-NUMLT,ID)*BF(ID)
END DO
END DO
C
RETURN
END
C
C
C ****************************************************************
C
C
SUBROUTINE LEVSOL(A,B,POPP,NLVCAL)
C ==================================
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
DIMENSION A(MLEVEL,MLEVEL),B(MLEVEL),POPP(MLEVEL),
* AP(MLEVEL,MLEVEL),BP(MLEVEL),POPP1(MLEVEL)
C
C new populations by inverting several partial rate matrices for the
C individual chemical species
C
if(nlvcal.le.0) return
DO 50 IAT=1,NATOM
N1=N0A(IAT)
NK=NKA(IAT)
IF(N1.LE.0) THEN
DO 1 I=N0A(IAT),NKA(IAT)
N1=I
IF(I.GT.0) GO TO 2
1 CONTINUE
2 CONTINUE
END IF
IF(N1.LE.0) GO TO 50
NLP=NK-N1+1
DO 20 I=N1,NK
DO 10 J=N1,NK
AP(I-N1+1,J-N1+1)=A(I,J)
10 CONTINUE
BP(I-N1+1)=B(I)
20 CONTINUE
CALL LINEQS(AP,BP,POPP1,NLP,MLEVEL)
DO 30 I=N1,NK
POPP(I)=POPP1(I-N1+1)
30 CONTINUE
50 CONTINUE
RETURN
END
C
C
C ****************************************************************
C
SUBROUTINE CHANGE
C =================
C
C This procedure controls an evaluation of initial level
C populations in case where the system of explicit levels
C (ie. the choice of explicit level, their numbering, or their
C total number) is not consistent with that for the input level
C populations read by procedure INPMOD.
C Obviously, this procedure need be used only for NLTE input models.
C
C Input from unit 5:
C For each explicit level, II=1,NLEVEL, the following parameters:
C IOLD - NE.0 - means that population of this level is
C contained in the set of input populations;
C IOLD is then its index in the "old" (i.e. input)
C numbering.
C All the subsequent parameters have no meaning
C in this case.
C - EQ.0 - means that this level has no equivalent in the
C set of "old" levels. Population of this level
C has thus to be evaluated.
C MODE - indicates how the population is evaluated:
C = 0 - population is equal to the population of the "old"
C level with index ISIOLD, multiplied by REL;
C = 1 - population assumed to be LTE, with respect to the
C first state of the next ionization degree whose
C population must be contained in the set of "old"
C (ie. input) populations, with index NXTOLD in the
C "old" numbering.
C The population determined of this way may further
C be multiplied by REL.
C = 2 - population determined assuming that the b-factor
C (defined as the ratio between the NLTE and
C LTE population) is the same as the b-factor of
C the level ISINEW (in the present numbering). The
C level ISINEW must have the equivalent in the "old"
C set; its index in the "old" set is ISIOLD, and the
C index of the first state of the next ionization
C degree, in the "old" numbering, is NXTSIO.
C The population determined of this way may further
C be multiplied by REL.
C = 3 - level corresponds to an ion or atom which was not
C explicit in the old system; population is assumed
C to be LTE.
C NXTOLD - see above
C ISINEW - see above
C ISIOLD - see above
C NXTSIO - see above
C REL - population multiplier - see above
C if REL=0, the program sets up REL=1
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
DIMENSION ESEMAT(MLEVEL,MLEVEL),BESE(MLEVEL),POPLTE(MLEVEL)
COMMON ESEMAT,BESE,POPLTE,POPUL0(MLEVEL,MDEPTH),
* POPULL(MLEVEL,MDEPTH),POPL(MLEVEL)
C
PARAMETER (S = 2.0706E-16)
IFESE=0
DO 100 II=1,NLEVEL
READ(ICHANG,*) IOLD,MODE,NXTOLD,ISINEW,ISIOLD,NXTSIO,REL
IF(MODE.GE.3) IFESE=IFESE+1
IF(REL.EQ.0.) REL=1.
DO 90 ID=1,ND
IF(IOLD.EQ.0) GO TO 10
POPUL0(II,ID)=POPUL(IOLD,ID)
GO TO 90
10 IF(MODE.NE.0) GO TO 20
POPUL0(II,ID)=POPUL(ISIOLD,ID)*REL
GO TO 90
20 T=TEMP(ID)
ANE=ELEC(ID)
IF(MODE.GE.3) GO TO 40
NXTNEW=NNEXT(IEL(II))
SB=S/T/SQRT(T)*G(II)/G(NXTNEW)*EXP(ENION(II)/T/BOLK)
IF(MODE.GT.1) GO TO 30
POPUL0(II,ID)=SB*ANE*POPUL(NXTOLD,ID)*REL
GO TO 90
30 KK=ISINEW
KNEXT=NNEXT(IEL(KK))
SBK=S/T/SQRT(T)*G(KK)/G(KNEXT)*EXP(ENION(KK)/T/BOLK)
POPUL0(II,ID)=SB/SBK*POPUL(NXTOLD,ID)/POPUL(NXTSIO,ID)*
* POPUL(ISIOLD,ID)*REL
GO TO 90
40 IF(IFESE.EQ.1) THEN
CALL SABOLF(ID)
CALL RATMAT(ID,ESEMAT,BESE)
CALL LINEQS(ESEMAT,BESE,POPLTE,NLEVEL,MLEVEL)
DO 50 III=1,NLEVEL
50 POPULL(III,ID)=POPLTE(III)
END IF
POPUL0(II,ID)=POPULL(II,ID)
90 CONTINUE
100 CONTINUE
DO 110 I=1,NLEVEL
DO 110 ID=1,ND
POPUL(I,ID)=POPUL0(I,ID)
110 CONTINUE
RETURN
END
C
C
C ********************************************************************
C
C
SUBROUTINE RATMAT(ID,A,B)
C
C LTE RATE MATRIX (SAHA-BOLTZMANN EQS. + CHARGE CONSERVATION EQ.)
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
parameter (un=1.)
DIMENSION A(MLEVEL,MLEVEL),B(MLEVEL)
C
ANE=ELEC(ID)
DO I=1,NLEVEL
B(I)=0.
DO J=1,NLEVEL
A(J,I)=0.
END DO
END DO
C
DO IAT=1,NATOM
N0I=N0A(IAT)
NKI=NKA(IAT)
N1I=NKI-1
NREFI=NKI
DO I=N0I,N1I
A(I,I)=1.
N=NNEXT(IEL(I))
A(I,N)=-ANE*SBF(I)*WOP(I,ID)
END DO
DO I=N0I,NKI
IL=ILK(I)
A(NREFI,I)=UN
IF(IL.NE.0) A(NREFI,I)=1.+ANE*USUM(IL)
END DO
B(NREFI)=ATTOT(IAT,ID)
END DO
C
RETURN
END
C
C ****************************************************************
C
SUBROUTINE SABOLF(ID)
C =====================
C
C Saha-Boltzmann factors (SBF)
C and "upper sums" - sum of Saha-Boltzmann factors for upper, LTE,
C levels which are not included explicitly (USUM), and derivatives
C wrt. temperature (T) and electron density (DUSUMN)
C
C Input: ID - depth index
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
PARAMETER (UH=1.5)
PARAMETER (CMAX=2.154D4,CCON=2.0706D-16,TWO=2.D0)
C
C DCHI - approximate lowering of ionization potential for neutrals
C Actual lowering is DCHI*effective charge, and is considered only
C if IUPSUM(ION).GT.0
C
T=TEMP(ID)
SQT=SQRT(T)
ANE=ELEC(ID)
STANE=SQRT(T/ANE)
XMAX=CMAX*SQRT(STANE)
TK=BOLK*T
CON=CCON/T/SQT
C
C Saha-Boltzmann factors
C
DO 50 ION=1,NION
QZ=IZ(ION)
CFN=CON/G(NNEXT(ION))
DCH=0.
IUPS=IUPSUM(ION)
SSBF=0.
USUM(ION)=0.
nlst=nlast(ion)
if(ifwop(nlst).ge.0) then
nl1up=nquant(nlst)+1
else
nl1up=nquant(nlst)
end if
DO 10 II=NFIRST(ION),NLAST(ION)
if(ifwop(ii).lt.0) then
E=EH*QZ*QZ/TK
SUM=0.
DO 5 J=nl1up,NLMX
XJ=J
XI=J*J
X=E/XI
FI=XI*EXP(X)*WNHINT(J,ID)
SUM=SUM+FI
5 CONTINUE
g(ii)=sum*two
gmer(imrg(ii),id)=g(ii)
end if
X=ENION(II)/TK
if(x.gt.110.) x=110.
SB=CFN*G(II)*EXP(X)
SBF(II)=SB
SSBF=SSBF+SB
10 CONTINUE
C
C Upper sums
C
if(ifwop(nlst).lt.0) go to 50
if(iups.eq.0) then
C
C 1. More exact approach - using (exact) partition functions
C
IAT=NUMAT(IATM(NFIRST(ION)))
XMX=XMAX*SQRT(QZ)
CALL PARTF(IAT,IZ(ION),T,ANE,XMX,U)
EE=ENION(NFIRST(ION))/TK
if(ee.gt.110.) ee=110.
CFE=CFN*EXP(EE)
USUM(ION)=CFE*U-SSBF
xx=(ssbf-sbf(nfirst(ion)))/sbf(nfirst(ion))
IF(USUM(ION).LT.0.or.ee.ge.109.or.xx.lt.1.e-7) USUM(ION)=0.
IF(USUM(ION).LT.0.) USUM(ION)=0.
C
C 2. Approximate approach - summation over fixed number of upper
C levels, assumed hydrogenic (ie. their ionization energy and
C statistical weight hydrogenic)
C
else if(iups.gt.0) then
SUM=0.
DSUM=0.
E=EH*QZ*QZ/TK
DO 30 J=NQUANT(NLAST(ION))+1,IUPS
XI=J*J
X=E/XI
FI=XI*EXP(X)
SUM=SUM+FI
30 CONTINUE
USUM(ION)=SUM*CON*TWO
C
c 3. occupation probability form
c
else
SUM=0.
DSUM=0.
E=EH*QZ*QZ/TK
DO 40 J=NQUANT(NLAST(ION))+1,NLMX
XJ=J
XI=J*J
X=E/XI
FI=XI*EXP(X)*WNHINT(J,ID)
SUM=SUM+FI
40 CONTINUE
USUM(ION)=SUM*CON*TWO
end if
50 CONTINUE
RETURN
END
C
C ********************************************************************
C
C
FUNCTION SBFHMI_old(FR)
C ===================
C
C Bound-free cross-section for H- (negative hydrogen ion)
C
INCLUDE 'PARAMS.FOR'
SBFHMI=0.
sbfhmi_old=0.
FR0=1.8259E14
IF(FR.LT.FR0) RETURN
IF(FR.LT.2.111E14) GO TO 10
X=2.997925E15/FR
SBFHMI=(6.80133E-3+X*(1.78708E-1+X*(1.6479E-1+X*(-2.04842E-2+X*
1 5.95244E-4))))*1.E-17
sbfhmi_old=sbfhmi
RETURN
10 X=2.997925E15*(1./FR0-1./FR)
SBFHMI=(2.69818E-1+X*(2.2019E-1+X*(-4.11288E-2+X*2.73236E-3)))
1 *X*1.E-17
sbfhmi_old=sbfhmi
RETURN
END
C
C
C
C ****************************************************************
C
C
SUBROUTINE OPADD(MODE,ID,FR,ABAD,EMAD,SCAD)
C ===========================================
C
C Additional opacities
C This is basically user-supplied procedure; here are some more
C important non-standard opacity sources, namely
C Rayleigh scattering, H- opacity, H2+ opacity, and additional
C opacity of He I and He II.
C Inclusion of these opacities is contolled by switches transmitted
C by COMMON/OPCPAR - see description in START.
C
C Input parameters:
C MODE - controls the nature and the amount of calculations
C = -1 - (OPADD called from START) evaluation of relevant
C depth-dependent quantities (usually photoionization
C cross-sections, but also possibly other), which are
C stored in array CROS
C = 0 - evaluation of an additional opacity, emissivity, and
C scattering - for procedure OPAC0
C ID - depth index
C FR - frequency
C
C Output:
C
C ABAD - absorption coefficient (at frequency FR and depth ID)
C EMAD - emission coefficient (at frequency FR and depth ID)
C SCAD - scattering coefficient (at frequency FR and depth ID)
C
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
PARAMETER (FRAYH = 2.463E15,
* FRAYHe = 5.150E15,
* FRAYH2 = 2.922E15,
* CLS = 2.997925e18)
C
AB0=0.
AB1=0.
ABAD=0.
EMAD=0.
SCAD=0.
C
if(iath.gt.0) then
N0HN=NFIRST(IELH)
NKH=NKA(IATH)
C
IF(MODE.GE.0) THEN
T=TEMP(ID)
ANE=ELEC(ID)
HKT=HK/T
T32=1./T/SQRT(T)
END IF
anh=dens(id)/(wmm(id)*ytot(id))
anhe=rrr(id,1,2)
C
IT=NLEVEL
C
C -----------------------
C HI Rayleigh scattering
C -----------------------
C
IF(IRSCT.NE.0.AND.IOPHLI.NE.1.AND.IOPHLI.NE.2) THEN
X=1.D0/(CLS/MIN(FR,FRAYH))**2
SG=(5.799E-13+(1.422E-6+2.784*X)*X)*X*X
c ABAD=POPUL(N0HN,ID)*SG
SCAD=POPUL(N0HN,ID)*SG
scad=anh*sg
END IF
IF(IOPHMI.NE.0) THEN
C
C ----------------------------
C H- bound-free and free-free
C ----------------------------
C Note: IOPHMI must not by taken non-zero if H- is considered
C explicitly, because H- opacity would be taken twice
C
SG=SBFHMI(FR)
XHM=8762.9/T
SB=1.0353E-16*T32*EXP(XHM)*POPUL(N0HN,ID)*ANE*SG
SF=SFFHMI(POPUL(N0HN,ID),FR,T)*ANE
AB0=SB+SF
END IF
C
C -----------------------
C He I Rayleigh scattering
C -----------------------
C
IF(IRSCHE.NE.0.AND.MODE.GE.0) THEN
X=(CLS/MIN(FR,FRAYHe))**2
CS=5.484E-14/X/X*(1.+(2.44E5+5.94E10/(X-2.90E5))/X)**2
sg=anhe*cs
c abad=abad+sg
scad=scad+sg
END IF
C
C -----------------------
C H2 Rayleigh scattering
C -----------------------
C
IF(IRSCH2.NE.0.AND.MODE.GE.0.AND.IFMOL.GT.0) THEN
X=(CLS/MIN(FR,FRAYH2))**2
X2=1./X/X
CS=(8.14E-13+1.28E-6/X+1.61*X2)*X2
sg=cs*anh2(id)
c abad=abad+sg
scad=scad+sg
END IF
C
IF(IOPH2P.GT.0.AND.IFMOL.GT.0.and.
* t.lt.tmolim.and.fr.lt.3.28e15) THEN
C
C -----------------------------
C H2+ bound-free and free-free
C -----------------------------
C
X=FR*1.E-15
SG1=(-7.342E-3+(-2.409+(1.028+(-4.23E-1+
* (1.224E-1-1.351E-2*X)*X)*X)*X)*X)*1.602E-12/BOLK
IT=IT+1
X=LOG(FR)
SG2=-3.0233E3+(3.7797E2+(-1.82496E1+(3.9207E-1-
* 3.1672E-3*X)*X)*X)*X
X2=-SG1/T+SG2
SB=0.
IF(X2.GT.-150.) SB=POPUL(N0HN,ID)*POPUL(NKH,ID)*EXP(X2)
AB0=AB0+SB
END IF
end if
C
C -----------------------------
C He- free-free
C -----------------------------
C
if(mode.ge.0.and.iophem.gt.0) then
A=3.397D-46+(-5.216D-31+7.039D-15/FR)/FR
B=-4.116D-42+(1.067D-26+8.135D-11/FR)/FR
C=5.081D-37+(-8.724D-23-5.659D-8/FR)/FR
cs=a*t+b+c/t
sg=anhe*ane*cs
ab0=ab0+sg
end if
C
C -----------------------------
C H2- free-free
C -----------------------------
C
IF(IOPH2M.NE.0.AND.MODE.GE.0.AND.IFMOL.GT.0.AND.T.LT.TMOLIM) THEN
call h2minus(t,anh2(id),ane,fr,oph2)
ab1=ab1+oph2
END IF
C
C -----------------------------
C CH and OH continuuum opacity
C -----------------------------
C
if(mode.ge.0.and.ifmol.gt.0.and.t.lt.tmolim) then
if(iopch.gt.0) ab0=ab0+sbfch(fr,t)*anch(id)
if(iopoh.gt.0) ab0=ab0+sbfoh(fr,t)*anoh(id)
C
C ---------------------------
C CIA H2-H2 opacity
C ---------------------------
C
if(ioh2h2.gt.0) then
call cia_h2h2(t,anh2(id),fr,oph2)
ab1=ab1+oph2
end if
C
C ---------------------------
C CIA H2-He opacity
C ---------------------------
C
if(ioh2he.gt.0) then
call cia_h2he(t,anh2(id),anhe,fr,oph2)
ab1=ab1+oph2
end if
C
C ---------------------------
C CIA H2-H opacity
C ---------------------------
C
if(ioh2h1.gt.0) then
call cia_h2h(t,anh2(id),anh,fr,oph2)
ab1=ab1+oph2
end if
C
C ---------------------------
C CIA H-He opacity
C ---------------------------
C
if(iohhe.gt.0) then
call cia_hhe(t,anh,anhe,fr,oph2)
ab1=ab1+oph2
end if
end if
C
C ----------------------------------------------
C The user may supply more opacity sources here:
C ----------------------------------------------
C
C Finally, actual absorption and emission coefficients
IF(MODE.LT.0) RETURN
X=EXP(-HKT*FR)
X1=1.-X
BNX=BN*(FR*1.E-15)**3*X
ABAD=ABAD+X1*AB0+AB1
EMAD=EMAD+BNX*(AB0+AB1/X1)
RETURN
END
C
C
C ****************************************************************
C
C
function wn(xn,a,id,z)
C ======================
c
c evaluation of the occupation probablities for a hydrogenic ion
c using eqs (4.26), and (4.39) of Hummer,Mihalas Ap.J. 331, 794, 1988.
c approximate evaluation of Q(beta) - Hummer
c
c Input: xn - real number corresponding to quantum number n
c a - correlation parameter
c id - depth index
c z - ionic charge
c
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
parameter (p1=0.1402,p2=0.1285,p3=1.,p4=3.15,p5=4.,un=1.)
parameter (tkn=3.01,ckn=5.33333333,cb=8.59e14)
parameter (f23=-2./3.)
parameter (a0=0.529177e-8,wa0=-3.1415926538/6.*a0*a0*a0)
c
c evaluation of k(n)
c
if(xn.le.tkn) then
xkn=un
else
xkn=ckn*xn/(xn+un)/(xn+un)
end if
c
c evaluation of beta
c
c beta=cb*bergfc*z*z*z*xkn/(xn*xn*xn*xn)*exp(f23*log(elec(id)))
beta=cb*z*z*z*xkn/(xn*xn*xn*xn)*exp(f23*log(elec(id)))
c
c approximate expression for Q(beta)
c
x=exp(p4*log(un+p3*a))
c c1=p1*(x+p5*z*a*a*a) ! previous expression -ERROR !!!!!!
c1=p1*(x+p5*(z-un)*a*a*a)
c2=p2*x
f=(c1*beta*beta*beta)/(un+c2*beta*sqrt(beta))
wp=f/(un+f)
c
c contribution from neutral particles
c
xn2=xn*xn+un
xnh=0.
xnhe1=0.
if(ielh.gt.0) xnh=popul(nfirst(ielh),id)
if(ielhe1.gt.0) xnhe1=popul(nfirst(ielhe1),id)
w0=exp(wa0*xn2*xn2*xn2*(xnh+xnhe1))
W0=1.
wn=wp*w0
return
end
C
C
C ********************************************************************
C
C
SUBROUTINE WNSTOR(ID)
C =====================
C
C Stores occupation probabilities for hydrogen levels
C in common WNCOM for further use
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
PARAMETER (UN=1.,TWO=2.,SIXTH=1./6.,CCOR=0.09)
parameter (p1=0.1402,p2=0.1285,p3=1.,p4=3.15,p5=4.)
parameter (tkn=3.01,ckn=5.33333333,cb=8.59d14,f23=-2./3.)
C
ANE=ELEC(ID)
A=CCOR*EXP(SIXTH*LOG(ANE))/SQRT(TEMP(ID))
DO 20 I=1,NLMX
XN=I
WNHINT(I,ID)=wn(xn,a,id,un)
WNHE2(I,ID)=wn(xn,a,id,two)
20 CONTINUE
C
C array WOP - occupation probabilities for explicit levels
C
do 30 ii=1,nlevel
wop(ii,id)=un
if(ifwop(ii).le.0) go to 30
ie=iel(ii)
nq=nquant(ii)
if(iz(ie).eq.1) then
wop(ii,id)=wnhint(nq,id)
else if(iz(ie).eq.2) then
wop(ii,id)=wnhe2(nq,id)
else
z=iz(ie)
xn=nq
wop(ii,id)=wn(xn,a,id,z)
end if
30 continue
RETURN
END
C
C
C ********************************************************************
C
C
C
c SUBROUTINE TIMING(MOD,ITER)
C ===========================
C
C Timing procedure (call machine dependent routine!!)
C
C INCLUDE 'PARAMS.FOR'
c CHARACTER ROUT*20
c dimension dummy(2)
c DATA T0/0./
C
c TIME=etime(dummy)
c DT=TIME-T0
c T0=TIME
c IF(MOD.EQ.0) THEN
c IP=0
c ROUT=' INIT '
c ELSE IF(MOD.EQ.1) THEN
c IP=ITER-1
c ROUT=' OPACITY '
c ELSE IF(MOD.EQ.2) THEN
c IP=ITER
c ROUT=' TRANSFER'
c ENDIF
c WRITE(69,600) IP,MOD,TIME,DT,ROUT
c 600 FORMAT(2I4,2F11.2,2X,A10)
c RETURN
c END
c
C *******************************************************************
c
subroutine quit(text)
C =====================
c
c stops the program and writes a text
c
INCLUDE 'PARAMS.FOR'
character*(*) text
write(6,10) text
10 format(1x,a)
stop
end
c
c
C
C *******************************************************************
C
function voigte(a,vs)
c =====================
c
c computes a voigt function h = h(a,v)
c a=gamma/(4*pi*dnud) and v=(nu-nu0)/dnud. this is done after
c traving (landolt-b\rnstein, p. 449).
c
INCLUDE 'PARAMS.FOR'
dimension ak(19),a1(5)
data ak /-1.12470432, -0.15516677, 3.28867591, -2.34357915,
, 0.42139162, -4.48480194, 9.39456063, -6.61487486, 1.98919585,
, -0.22041650, 0.554153432, 0.278711796,-0.188325687, 0.042991293,
,-0.003278278, 0.979895023,-0.962846325, 0.532770573,-0.122727278/
data sqp/1.772453851/,sq2/1.414213562/
c
v = abs(vs)
u = a + v
v2 = v*v
if (a.eq.0.0) go to 140
if (a.gt.0.2) go to 120
if (v.ge.5.0) go to 121
c
ex=0.
if(v2.lt.100.)ex = exp(-v2)
k = 1
c
100 quo = 1.
if (v.lt.2.4) go to 101
quo = 1./(v2 - 1.5)
m = 11
go to 102
c
101 m = 6
if (v.lt.1.3) m = 1
102 do 103 i=1,5
a1(i) = ak(m)
m = m + 1
103 continue
h1 = quo*(a1(1) + v*(a1(2) + v*(a1(3) + v*(a1(4) + v*a1(5)))))
if (k.gt.1) go to 110
c
c a le 0.2 and v lt 5.
c
hh = h1*a + ex*(1. + a*a*(1. - 2.*v2))
voigte=hh
return
c
110 pqs = 2./sqp
h1p = h1 + pqs*ex
h2p = pqs*h1p - 2.*v2*ex
h3p = (pqs*(1. - ex*(1. - 2.*v2)) - 2.*v2*h1p)/3. + pqs*h2p
h4p = (2.*v2*v2*ex - pqs*h1p)/3. + pqs*h3p
psi = ak(16) + a*(ak(17) + a*(ak(18) + a*ak(19)))
c
c 0.2 lt a le 1.4 and a + v le 3.2
c
hh = psi*(ex + a*(h1p + a*(h2p + a*(h3p + a*h4p))))
voigte=hh
return
c
120 if (a.gt.1.4.or.u.gt.3.2) go to 130
ex=0.
if(v2.lt.100.)ex = exp(-v2)
k = 2
go to 100
c
c a le 0.2 and v ge 5.
c
121 hh = a*(15. + 6.*v2 + 4.*v2*v2)/(4.*v2*v2*v2*sqp)
voigte=hh
return
c
130 a2 = a*a
u = sq2*(a2 + v2)
u2 = 1./(u*u)
c
c a gt 1.4 or a + v gt 3.2
c
hh = sq2/sqp*a/u*(1. + u2*(3.*v2 - a2) +
, u2*u2*(15.*v2*v2 - 30.*v2*a2 + 3.*a2*a2))
voigte=hh
return
c
c a eq 0.
c
140 hh=0.
if(v2.lt.100.) hh=exp(-v2)
voigte=hh
return
end
C
C
C ********************************************************************
C
C
SUBROUTINE SIGAVS
C =================
C
C Read bound-free cross-sections for averaged levels
C from the unit INSA (given by IFANCY), with increasing frequencies
C It assumes that all continuum transitions for a given ion are
C given in a successive order in the data (i.e. as in TLUSTY for
C explicit levels. For other levels, additional input data in
C unit 54 !!
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'SYNTHP.FOR'
PARAMETER (HCCM=H*2.997925D10,BAM=1.D-18)
DIMENSION CRD(MFCRA),XIFE(8),FRD(MFCRA)
CHARACTER*40 FIDATA(MION),FIODF1(MION),FIODF2(MION),FIBFCS(MION)
COMMON/IONFIL/FIDATA,FIODF1,FIODF2,FIBFCS
C
DATA XIFE/63480.,130563.,247220.,442000.,605000.,799000.,
& 1008000.,1218380./
C
FR1=FREQ(1)
FR2=FREQ(2)
NUNIT=0
NQHT=0
IF(IASV.EQ.0) GOTO 100
c WRITE(6,600)
c 600 FORMAT(///,' DETAILED PHOTOIONIZATION CROSS-SECTIONS',
c * ' (EXPLICIT LEVELS)',/,
c * ' ---------------------------------------',/)
DO 10 I=1,NION
N1=NFIRST(I)
N2=NLAST(I)
INSA=0
DO 11 II=N1,N2
NFCR(II)=2
FRECR(II,1)=FR1
FRECR(II,2)=FR2
CROSR(II,1)=0.
CROSR(II,2)=0.
INSB=IBF(II)
IF(INSB.LT.50.OR.INSB.GT.100) GO TO 11
IF(INSA.EQ.0) INSA=INSB
IF(INSA.NE.INSB)
* call quit(' Incoherent file units in SIGAVS')
11 CONTINUE
IF(INSA.EQ.0) GOTO 10
IF(FIBFCS(I).NE.' ') THEN
INSA=INBFCS(I)
OPEN(INSA,FILE=FIBFCS(I),STATUS='OLD')
END IF
READ(INSA,*,END=500,ERR=500) IIAT,IIZ,NSUP
ATI=IIAT+0.01*(IIZ-1)
NBFI=NSUP
IF(NSUP.GT.(N2-N1+1)) NBFI=(N2-N1+1)
c * call quit(' Too many bf-trans. in input file (SIGAVS)')
c WRITE(6,601) ATI,INSA
DO 12 II=1,NBFI
READ(INSA,*,END=500,ERR=500) IILO,EELO,GGLO,NFCRR
IK=N1+IILO-1
IF (IK.GT.N2 .OR. IK.LT.N1)
* call quit(' Inconsistent level numbering in SIGAVS')
IF(IIAT.NE.26) GOTO 13
ECMR=XIFE(IIZ)-EELO
c DE=ABS((ENION(IK)-HCCM*ECMR)/ENION(IK))
c IF(DE.GT.1.D-4) call quit(' Incorrect energy level in SIGAVS')
13 READ(INSA,*,END=500,ERR=500) FR0,CR0
NFD=1
FRD(NFD)=FR0
CRD(NFD)=CR0
LUV=.FALSE.
DO 14 IJ=1,NFCRR-1
READ(INSA,*,END=500,ERR=500) FRIN,CRIN
IF(LUV) GOTO 14
IF(FRIN.GT.FR1) THEN
IF(FR0.LE.FR2.AND.IJ.GT.1) THEN
NFD=NFD+1
FRD(NFD)=FR0
CRD(NFD)=CR0
ENDIF
NFD=NFD+1
FRD(NFD)=FRIN
CRD(NFD)=CRIN
LUV=.TRUE.
ELSE IF(FRIN.GT.FR2) THEN
IF(FR0.LE.FR2.AND.IJ.GT.1) THEN
NFD=NFD+1
FRD(NFD)=FR0
CRD(NFD)=CR0
ENDIF
NFD=NFD+1
FRD(NFD)=FRIN
CRD(NFD)=CRIN
FR0=FRIN
CR0=CRIN
ELSE
FR0=FRIN
CR0=CRIN
ENDIF
IF(NFD.GT.MFCRA)
* call quit(' Too many frequencies in SIGAVS')
14 CONTINUE
CRMX(IK)=0.
DO 15 IJ=1,NFD
CRMX(IK)=MAX(CRMX(IK),CRD(IJ))
15 CONTINUE
IF(CRMX(IK).GT.0.) THEN
c WRITE(6,601) ATI,IILO,EELO,NFD
c 601 FORMAT(F7.2,I6,F13.3,I8)
NFCR(IK)=NFD
DO 16 IJ=1,NFD
FRECR(IK,IJ)=FRD(NFD-IJ+1)
CROSR(IK,IJ)=CRD(NFD-IJ+1)*BAM
16 CONTINUE
ENDIF
12 CONTINUE
10 CONTINUE
C
100 READ(50,*,END=540,ERR=540) NUNIT
IF(NUNIT.LE.0) RETURN
WRITE(6,602)
602 FORMAT(///,' DETAILED PHOTOIONIZATION CROSS-SECTIONS',
* ' (NON-EXPLICIT LEVELS)',/,
* ' ---------------------------------------',/)
DO 110 IN=1,NUNIT
READ(50,*,END=540,ERR=540) ATIR,INSA,NQHTR
NQHT=NQHT+NQHTR
IF(NQHT.GT.MPHOT)
* call quit(' Too many BF cross-sections in SIGAVS')
READ(INSA,*,END=501,ERR=501) IIAT,IIZ,NSUP
C
c check the total number of superlevels
c
IF(NQHTR.GT.NSUP) THEN
WRITE(6,603) NQHTR,NSUP
603 FORMAT(' NQHTR=',i4,' in Unit 50 input greater than NSUP=',
* i4,/' program resets NQHTR to NSUP'/)
NQHTR=NSUP
END IF
c
C loop over superlevels - read cross-sections
c
DO 120 I=1,NQHTR
IK=NQHT-NQHTR+I
READ(INSA,*,END=501,ERR=501) IILO,EELO,GGLO,NFCRR
AQHT(IK)=ATIR
EQHT(IK)=EELO
GQHT(IK)=GGLO
READ(INSA,*) FR0,CR0
NFD=1
FRD(NFD)=FR0
CRD(NFD)=CR0
LUV=.FALSE.
DO 130 IJ=1,NFCRR-1
READ(INSA,*) FRIN,CRIN
IF(LUV) GOTO 130
IF(FRIN.GT.FR1) THEN
IF(FR0.LE.FR2.AND.IJ.GT.1) THEN
NFD=NFD+1
FRD(NFD)=FR0
CRD(NFD)=CR0
ENDIF
NFD=NFD+1
FRD(NFD)=FRIN
CRD(NFD)=CRIN
LUV=.TRUE.
ELSE IF(FRIN.GT.FR2) THEN
IF(FR0.LE.FR2.AND.IJ.GT.1) THEN
NFD=NFD+1
FRD(NFD)=FR0
CRD(NFD)=CR0
ENDIF
NFD=NFD+1
FRD(NFD)=FRIN
CRD(NFD)=CRIN
FR0=FRIN
CR0=CRIN
ELSE
FR0=FRIN
CR0=CRIN
ENDIF
130 CONTINUE
CRMY(IK)=0.
DO 140 IJ=1,NFD
CRMY(IK)=MAX(CRMY(IK),CRD(IJ))
140 CONTINUE
IF(CRMY(IK).GT.0.) THEN
WRITE(6,611) ATIR,IILO,EELO,NFD
611 FORMAT(F7.2,I6,F13.3,I8)
NFQHT(IK)=NFD
DO 150 IJ=1,NFD
FRECQ(IK,IJ)=FRD(NFD-IJ+1)
QHOT(IK,IJ)=CRD(NFD-IJ+1)*BAM
150 CONTINUE
ENDIF
120 CONTINUE
110 CONTINUE
540 RETURN
C
500 call quit(' ERROR IN DATA FILE FOR BF SIG OF AVERAGED LEVELS (1)')
501 call quit(' ERROR IN DATA FILE FOR BF SIG OF AVERAGED LEVELS (2)')
C
END
C
C
C ********************************************************************
C
C
SUBROUTINE PHTX(ID,ABSO,EMIS,fre,icon)
C ======================================
C
C Opacity due to detailed photoionization (read from tables by
C routine SIGAVS)
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
INCLUDE 'LINDAT.FOR'
DIMENSION ABSO(MFREQ),EMIS(MFREQ),PLANF(MFREQ),STIMU(MFREQ)
dimension fre(mfreq)
DIMENSION PHOTI(MCROSS,MFREQ)
DIMENSION IJP(MLEVEL),IJQ(MPHOT)
PARAMETER (C3=1.4387886)
SAVE PHOTI,IJP,IJQ
C
IF(IASV.EQ.0 .AND. NQHT.EQ.0) RETURN
T=TEMP(ID)
nfre=nfreq
ij0=3
if(icon.eq.1) then
ij0=1
nfre=nfreqc
end if
c
DO 10 IJ=1,NFRE
XX=FRE(IJ)
X15=XX*1.E-15
BNU=BN*X15*X15*X15
HKF=HK*XX
EXH=EXP(HKF/T)
PLANF(IJ)=BNU/(EXH-1.)
STIMU(IJ)=1.-1./EXH
10 CONTINUE
C
IF(IASV.EQ.0) GOTO 100
IF(ID.EQ.1) THEN
DO 40 I=1,NLEVEL
IF(CRMX(I).EQ.0.) GOTO 40
IK1=MAX0(2,IJP(I))
DO 42 IJ=3,NFRE
DO 45 IK=IK1,NFCR(I)
IF(FRECR(I,IK).LT.FRE(IJ)) THEN
IK2=IK
GOTO 46
ENDIF
45 CONTINUE
46 IK1=IK2
IF(IJ.EQ.3) IJP(I)=IK1
DFR=(FRE(IJ)-FRECR(I,IK1))/(FRECR(I,IK1-1)-FRECR(I,IK1))
PHOTI(I,IJ)=CROSR(I,IK1)+DFR*(CROSR(I,IK1-1)-CROSR(I,IK1))
42 CONTINUE
PHOTI(I,1)=PHOTI(I,3)
PHOTI(I,2)=PHOTI(I,NFREQ)
40 CONTINUE
ENDIF
DO 30 I=1,NLEVEL
IF(CRMX(I).EQ.0.) GOTO 30
POP=POPUL(I,ID)
DO 20 IJ=1,NFRE
AB=PHOTI(I,IJ)*POP*STIMU(IJ)
ABSO(IJ)=ABSO(IJ)+AB
EMIS(IJ)=EMIS(IJ)+AB*PLANF(IJ)
20 CONTINUE
30 CONTINUE
C
100 IF(NQHT.EQ.0) RETURN
IF(ID.EQ.1) THEN
DO 110 I=1,NQHT
IF(CRMY(I).EQ.0.) GOTO 110
IK1=MAX0(2,IJQ(I))
DO 120 IJ=3,NFRE
DO 125 IK=IK1,NFQHT(I)
IF(FRECQ(I,IK).LT.FRE(IJ)) THEN
IK2=IK
GOTO 126
ENDIF
125 CONTINUE
126 IK1=IK2
IF(IJ.EQ.3) IJQ(I)=IK1
DFR=(FRE(IJ)-FRECQ(I,IK1))/(FRECQ(I,IK1-1)-FRECQ(I,IK1))
PHOTI(I,IJ)=QHOT(I,IK1)+DFR*(QHOT(I,IK1-1)-QHOT(I,IK1))
120 CONTINUE
110 CONTINUE
ENDIF
DO 210 I=1,NQHT
IF(CRMY(I).EQ.0.) GOTO 210
IAT=int(AQHT(I))
X=(AQHT(I)-FLOAT(IAT)+1.E-4)*100.
ION=INT(X)+1
POP=RRR(ID,ION,IAT)*GQHT(I)*EXP(-EQHT(I)*C3/T)
DO 220 IJ=3,NFRE
AB=PHOTI(I,IJ)*POP*STIMU(IJ)
ABSO(IJ)=ABSO(IJ)+AB
EMIS(IJ)=EMIS(IJ)+AB*PLANF(IJ)
220 CONTINUE
210 CONTINUE
C
RETURN
END
C
C
C ********************************************************************
C
subroutine getlal
c =================
c
c getlal reads in the profile functions for Lyman alpha, beta, gamma,
c and Balmer alpha, including the quasi-molecular satellites;
c valid for first and second order in neutral and ionized H density
c modified routine provided originally by D. Koester
c
c
INCLUDE 'PARAMS.FOR'
parameter (NXMAX=1400,NNMAX=5)
common/quasun/nunalp,nunbet,nungam,nunbal
common /callarda/xlalp(NXMAX),plalp(NXMAX,NNMAX),stnnea,stncha,
* vneua,vchaa,nxalp,iwarna
common /callardb/xlbet(NXMAX),plbet(NXMAX,NNMAX),stnneb,stnchb,
* vneub,vchab,nxbet,iwarnb
common /callardg/xlgam(NXMAX),plgam(NXMAX,NNMAX),stnneg,stnchg,
* vneug,vchag,nxgam,iwarng
common /callardc/xlbal(NXMAX),plbal(NXMAX,NNMAX),stnnec,stnchc,
* vneuc,vchac,nxbal,iwarnc
c
c Lyman alpha
c
nxalp=0
if(nunalp.gt.0) then
nunalp=67
open(unit=nunalp,file='./data/laquasi.dat',status='old')
read(nunalp,*) nxalp,stnnea,stncha,vneua,vchaa
do i=1,nxalp
read(nunalp,*) xlalp(i),(plalp(i,j),j=1,NNMAX)
end do
close(nunalp)
stnnea=10.0**stnnea
stncha=10.0**stncha
iwarna=0
close(nunalp)
write(*,*)
write(*,*) ' read quasi-molecular data for L alpha'
end if
c
c Lyman beta
c
nxbet=0
if(nunbet.gt.0) then
nunbet=67
open(unit=nunbet,file='./data/lbquasi.dat',status='old')
read(nunbet,*) nxbet,stnneb,stnchb,vneub,vchab
do i=1,nxbet
read(nunbet,*) xlbet(i),(plbet(i,j),j=1,NNMAX)
end do
close(nunbet)
stnneb=10.0**stnneb
stnchb=10.0**stnchb
iwarnb=0
write(*,*) ' read quasi-molecular data for L beta'
end if
c
c Lyman gamma
c
nxgam=0
if(nungam.gt.0) then
nungam=67
open(unit=nunalp,file='./data/lgquasi.dat',status='old')
read(nungam,*) nxgam,stnneg,stnchg,vneug,vchag
do i=1,nxgam
read(nungam,*) xlgam(i),(plgam(i,j),j=1,NNMAX)
end do
close(nungam)
stnneg=10.0**stnneg
stnchg=10.0**stnchg
iwarng=0
write(*,*) ' read quasi-molecular data for L gamma'
end if
c
c Balmer alpha
c
nxbal=0
if(nunbal.gt.0) then
nunbal=67
open(unit=nunalp,file='./data/lhquasi.dat',status='old')
read(nunbal,*) nxbal,stnnec,stnchc,vneuc,vchac
do i=1,nxbal
read(nunbal,*) xlbal(i),(plbal(i,j),j=1,NNMAX)
end do
close(nunbal)
stnnec=10.0**stnnec
stnchc=10.0**stnchc
iwarnc=0
write(*,*) ' read quasi-molecular data for H alpha'
end if
write(*,*)
return
end
c
C
C ********************************************************************
C
subroutine allard(xl,hneutr,hcharg,prof,iq,jq)
c ==============================================
c
c quasi-molecular opacity for Lyman alpha, beta, and Balmer alpha
c modified routine provided originally by D. Koester
c
c Input: xl: wavelength in [A]
c hneutr: neutral H particle density [cm-3]
c hcharg: ionized H particle density [cm-3]
c iq: quantum number of the lower level
c jq: quantum number of the upper level;
c =2 - Lyman alpha
c =3 - Lyman beta
c Output: prof: Lyman alpha line profile, normalized to 1.0e8
c if integrated over A;
c It then renormalized by multiplying by
c 8.853e-29*lambda_0^2*f_ij
c
INCLUDE 'PARAMS.FOR'
parameter (NXMAX=1400,NNMAX=5)
parameter (xnorma=8.8528e-29*1215.6*1215.6*0.41618,
* xnormb=8.8528e-29*1025.73*1025.7*0.0791,
* xnormg=8.8528e-29*972.53*972.53*0.0290,
* xnormc=8.8528e-29*6562.*6562.*0.6407)
common /callarda/xlalp(NXMAX),plalp(NXMAX,NNMAX),stnnea,stncha,
* vneua,vchaa,nxalp,iwarna
common /callardb/xlbet(NXMAX),plbet(NXMAX,NNMAX),stnneb,stnchb,
* vneub,vchab,nxbet,iwarnb
common /callardg/xlgam(NXMAX),plgam(NXMAX,NNMAX),stnneg,stnchg,
* vneug,vchag,nxgam,iwarng
common /callardc/xlbal(NXMAX),plbal(NXMAX,NNMAX),stnnec,stnchc,
* vneuc,vchac,nxbal,iwarnc
c
prof=0.
c
c Lyman alpha
c
if(iq.eq.1.and.jq.eq.2) then
c if(xl.lt.xlalp(1).or.xl.gt.xlalp(nxalp)) return
if(xl.lt.xlalp(1)) return
vn1=hneutr/stnnea
vn2=hcharg/stncha
vns=vn1*vneua+vn2*vchaa
if(iwarna.eq.0) then
if(vn1*vneua.gt.0.3.or.vn2*vchaa.gt.0.3) then
write(*,*) ' warning: density too high for',
* ' Lyman alpha expansion'
iwarna=1
endif
endif
vn11=vn1*vn1
vn22=vn2*vn2
vn12=vn1*vn2
xnorm=1.0/(1.0+vns+0.5*vns*vns)
c
if(xl.le.xlalp(nxalp)) then
jl=0
ju=nxalp+1
10 if(ju-jl.gt.1) then
jm=(ju+jl)/2
if((xlalp(nxalp).gt.xlalp(1)).eqv.(xl.gt.xlalp(jm))) then
jl=jm
else
ju=jm
endif
go to 10
endif
j=jl
c
if(j.eq.0) j=1
if(j.eq.nxalp) j=j-1
a1=(xl-xlalp(j))/(xlalp(j+1)-xlalp(j))
p1= vn1*((1.0-a1)*plalp(j,1)+a1*plalp(j+1,1))
p11=vn11*((1.0-a1)*plalp(j,2)+a1*plalp(j+1,2))
p2= vn2*((1.0-a1)*plalp(j,3)+a1*plalp(j+1,3))
p22=vn22*((1.0-a1)*plalp(j,4)+a1*plalp(j+1,4))
p12=vn12*((1.0-a1)*plalp(j,5)+a1*plalp(j+1,5))
prof=(p1+p2+p11+p22+p12)*xnorm*xnorma
c
else
j=nxalp-1
c a1=(xl-xlalp(j))/(xlalp(j+1)-xlalp(j))
a1=1.
p1= vn1*((1.0-a1)*plalp(j,1)+a1*plalp(j+1,1))
p11=vn11*((1.0-a1)*plalp(j,2)+a1*plalp(j+1,2))
p2= vn2*((1.0-a1)*plalp(j,3)+a1*plalp(j+1,3))
p22=vn22*((1.0-a1)*plalp(j,4)+a1*plalp(j+1,4))
p12=vn12*((1.0-a1)*plalp(j,5)+a1*plalp(j+1,5))
pro0=(p1+p2+p11+p22+p12)*xnorm*xnorma
xlas=xlalp(nxalp)
x0=1215.67
dxlas=xlalp(nxalp)-x0
dx=xl-x0
prof=pro0/(dx/dxlas)**2.5
c
end if
return
end if
c
c Lyman beta
c
if(iq.eq.1.and.jq.eq.3) then
if(nxbet.eq.0) return
if(xl.lt.xlbet(1).or.xl.gt.xlbet(nxbet)) return
vn1=hneutr/stnneb
vn2=hcharg/stnchb
vns=vn1*vneub+vn2*vchab
if(iwarnb.eq.0) then
if(vn1*vneub.gt.0.3.or.vn2*vchab.gt.0.3) then
write(*,*) ' warning: density too high for',
* ' Lyman beta expansion'
iwarnb=1
endif
endif
vn11=vn1*vn1
vn22=vn2*vn2
vn12=vn1*vn2
xnorm=1.0/(1.0+vns+0.5*vns*vns)
c
jl=0
ju=nxbet+1
20 if(ju-jl.gt.1) then
jm=(ju+jl)/2
if((xlbet(nxbet).gt.xlbet(1)).eqv.(xl.gt.xlbet(jm))) then
jl=jm
else
ju=jm
endif
go to 20
endif
j=jl
c
if(j.eq.0) j=1
if(j.eq.nxbet) j=j-1
a1=(xl-xlbet(j))/(xlbet(j+1)-xlbet(j))
p1= vn1*((1.0-a1)*plbet(j,1)+a1*plbet(j+1,1))
p11=vn11*((1.0-a1)*plbet(j,2)+a1*plbet(j+1,2))
p2= vn2*((1.0-a1)*plbet(j,3)+a1*plbet(j+1,3))
p22=vn22*((1.0-a1)*plbet(j,4)+a1*plbet(j+1,4))
p12=vn12*((1.0-a1)*plbet(j,5)+a1*plbet(j+1,5))
prof=(p1+p2+p11+p22+p12)*xnorm*xnormb
return
end if
c
c Lyman gamma
c
if(iq.eq.1.and.jq.eq.4) then
if(nxgam.eq.0) return
if(xl.lt.xlgam(1).or.xl.gt.xlgam(nxgam)) return
vn1=hneutr/stnneg
vn2=hcharg/stnchg
vns=vn1*vneug+vn2*vchag
if(iwarng.eq.0) then
if(vn1*vneug.gt.0.3.or.vn2*vchag.gt.0.3) then
write(*,*) ' warning: density too high for',
* ' Lyman gamma expansion'
iwarng=1
endif
endif
vn11=vn1*vn1
vn22=vn2*vn2
vn12=vn1*vn2
xnorm=1.0/(1.0+vns+0.5*vns*vns)
c
jl=0
ju=nxgam+1
30 if(ju-jl.gt.1) then
jm=(ju+jl)/2
if((xlgam(nxgam).gt.xlgam(1)).eqv.(xl.gt.xlgam(jm))) then
jl=jm
else
ju=jm
endif
go to 30
endif
j=jl
c
if(j.eq.0) j=1
if(j.eq.nxgam) j=j-1
a1=(xl-xlgam(j))/(xlgam(j+1)-xlgam(j))
p1= vn1*((1.0-a1)*plgam(j,1)+a1*plgam(j+1,1))
p11=vn11*((1.0-a1)*plgam(j,2)+a1*plgam(j+1,2))
p2= vn2*((1.0-a1)*plgam(j,3)+a1*plgam(j+1,3))
p22=vn22*((1.0-a1)*plgam(j,4)+a1*plgam(j+1,4))
p12=vn12*((1.0-a1)*plgam(j,5)+a1*plgam(j+1,5))
prof=(p1+p2+p11+p22+p12)*xnorm*xnormg
return
end if
c
c Balmer alpha
c
if(iq.eq.2.and.jq.eq.3) then
if(xl.lt.xlbal(1).or.xl.gt.xlbal(nxbal)) return
c vn1=hneutr/stnnec
vn1=0.
vn2=hcharg/stnchc
vns=vn1*vneuc+vn2*vchac
vn11=vn1*vn1
vn22=vn2*vn2
vn12=vn1*vn2
xnorm=1.0/(1.0+vns+0.5*vns*vns)
c
jl=0
ju=nxbal+1
40 if(ju-jl.gt.1) then
jm=(ju+jl)/2
if((xlbal(nxbal).gt.xlbal(1)).eqv.(xl.gt.xlbal(jm))) then
jl=jm
else
ju=jm
endif
go to 40
endif
j=jl
c
if(j.eq.0) j=1
if(j.eq.nxbal) j=j-1
a1=(xl-xlbal(j))/(xlbal(j+1)-xlbal(j))
p1= vn1*((1.0-a1)*plbal(j,1)+a1*plbal(j+1,1))
p11=vn11*((1.0-a1)*plbal(j,2)+a1*plbal(j+1,2))
p2= vn2*((1.0-a1)*plbal(j,3)+a1*plbal(j+1,3))
p22=vn22*((1.0-a1)*plbal(j,4)+a1*plbal(j+1,4))
p12=vn12*((1.0-a1)*plbal(j,5)+a1*plbal(j+1,5))
prof=(p1+p2+p11+p22+p12)*xnorm*xnormc
end if
c
return
end
C
C
C **************************************************************
C
C
subroutine lyahhe(xl,ahe,prof)
c ==============================
c
c Lyman alpha broadening by helium - after N. Allard
c
INCLUDE 'PARAMS.FOR'
parameter (nxmax=1000)
c parameter (sthe=1.e21)
common/hhebrd/sthe,nunhhe
common/calhhe/xlhhe(nxmax),sighhe(nxmax),nxhhe
dimension xlhh0(nxmax),sighh0(nxmax)
data iread/0/
c
if(iread.eq.0) then
c nxhhe=679
c open(unit=67,
c * file='siglyhhe_21_T14500.lam',
c * status='old')
it=0
do i=1,nxmax
read(67,*,err=5,end=5) xl,sig
it=it+1
if(nunhhe.eq.1) xl=1./(1.e-8*xl+1./1215.67)
xlhh0(it)=xl
sighh0(it)=sig
end do
5 nxhhe=it
do i=1,nxhhe
xlhhe(i)=xlhh0(nxhhe-i+1)
sighhe(i)=sighh0(nxhhe-i+1)
end do
c do i=1,nxhhe
c j=nxhhe-i+1
c read(67,*) xlhhe(j),sighhe(j)
c end do
close(67)
iread=1
end if
c
prof=0.
if(xl.gt.xlhhe(nxhhe)) return
jl=0
ju=nxhhe+1
10 if(ju-jl.gt.1) then
jm=(ju+jl)/2
if((xlhhe(nxhhe).gt.xlhhe(1)).eqv.(xl.gt.xlhhe(jm))) then
jl=jm
else
ju=jm
endif
go to 10
endif
j=jl
c
if(j.eq.0) j=1
if(j.eq.nxhhe) j=j-1
a1=(xl-xlhhe(j))/(xlhhe(j+1)-xlhhe(j))
s1=(1.0-a1)*sighhe(j)+a1*sighhe(j+1)
prof=s1*ahe/sthe*6.2831855
return
end
C
C
C **************************************************************
C
C
subroutine readbf
c =================
c
c auxiliary subroutine for enabling reading of input data with
c comments
c
c lines beginning with ! or * are understood as comments
c
INCLUDE 'PARAMS.FOR'
character*80 buff
10 continue
read(5,501,end=20) buff
if(buff(1:1).eq.'!'.or.buff(1:1).eq.'*') go to 10
write(ibuff,501) buff
go to 10
501 format(a)
20 continue
rewind ibuff
return
end
C
C
C *******************************************************************
C
C
SUBROUTINE PRETAB
C =================
C
C pretabulate expansion coefficients for the Voigt function
C 200 steps per doppler width - up to 10 Doppler widths
C
INCLUDE 'PARAMS.FOR'
PARAMETER (VSTEPS=200.,MVOI=2001)
COMMON/VOITAB/H0TAB(MVOI),H1TAB(MVOI),H2TAB(MVOI)
DIMENSION TABVI(81),TABH1(81)
DATA TABVI/0.,.1,.2,.3,.4,.5,.6,.7,.8,.9,1.,1.1,1.2,1.3,1.4,1.5,
11.6,1.7,1.8,1.9,2.,2.1,2.2,2.3,2.4,2.5,2.6,2.7,2.8,2.9,3.,3.1,3.2,
2 3.3,3.4,3.5,3.6,3.7,3.8,3.9,4.0,4.2,4.4,4.6,4.8,5.0,5.2,5.4,5.6,
3 5.8,6.0,6.2,6.4,6.6,6.8,7.0,7.2,7.4,7.6,7.8,8.0,8.2,8.4,8.6,8.8,
4 9.0,9.2,9.4,9.6,9.8,10.0,10.2,10.4,10.6,10.8,11.0,11.2,11.4,11.6,
5 11.8,12.0/
DATA TABH1/-1.12838,-1.10596,-1.04048,-.93703,-.80346,-.64945,
1-.48552,-.32192,-.16772,-.03012,.08594,.17789,.24537,.28981,
2.31394,.32130,.31573,.30094,.28027,.25648,.231726,.207528,.184882,
3.164341,.146128,.130236,.116515,.104739,.094653,.086005,.078565,
4 .072129,.066526,.061615,.057281,.053430,.049988,.046894,.044098,
5 .041561,.039250,.035195,.031762,.028824,.026288,.024081,.022146,
6 .020441,.018929,.017582,.016375,.015291,.014312,.013426,.012620,
7 .0118860,.0112145,.0105990,.0100332,.0095119,.0090306,.0085852,
8 .0081722,.0077885,.0074314,.0070985,.0067875,.0064967,.0062243,
9 .0059688,.0057287,.0055030,.0052903,.0050898,.0049006,.0047217,
T .0045526,.0043924,.0042405,.0040964,.0039595/
C
N=MVOI
DO 10 I=1,N
10 H0TAB(I)=FLOAT(I-1)/VSTEPS
CALL INTERP(TABVI,TABH1,H0TAB,H1TAB,81,N,2,0,0)
DO 20 I=1,N
VV=(FLOAT(I-1)/VSTEPS)**2
H0TAB(I)=EXP(-VV)
H2TAB(I)=H0TAB(I)-(VV+VV)*H0TAB(I)
20 CONTINUE
RETURN
END
C
C
C *******************************************************************
C
C
FUNCTION VOIGTK(A,V)
C ====================
C
C Voigt function after Kurucz (in Computational Astrophysics)
C
INCLUDE 'PARAMS.FOR'
PARAMETER (MVOI=2001)
PARAMETER (ONE=1., THREE=3., TEN=10., FIFTN=15., TWOH=200.,
* C14142=1.4142, C11283=1.12838, C15=1.5,C32=3.2,
* C05642=0.5642,C79788=0.79788,C02=0.2,C14=1.4,
* C37613=0.37613,C23=2./3.,
* CV1=-.122727278,CV2=.532770573,CV3=-.96284325,
* CV4=.979895032)
COMMON/VOITAB/H0TAB(MVOI),H1TAB(MVOI),H2TAB(MVOI)
IV=int(V*TWOH+C15)
IF(A.LT.C02) THEN
IF(V.LE.TEN) THEN
VOIGTK=(H2TAB(IV)*A+H1TAB(IV))*A+H0TAB(IV)
ELSE
VOIGTK=C05642*A/(V*V)
END IF
RETURN
END IF
IF(A.GT.C14) GO TO 10
IF(A+V.GT.C32) GO TO 10
VV=V*V
HH1=H1TAB(IV)+H0TAB(IV)*C11283
HH2=H2TAB(IV)+HH1*C11283-H0TAB(IV)
HH3=(ONE-H2TAB(IV))*C37613-HH1*C23*VV+HH2*C11283
HH4=(THREE*HH3-HH1)*C37613+H0TAB(IV)*C23*VV*VV
VOIGTK=((((HH4*A+HH3)*A+HH2)*A+HH1)*A+H0TAB(IV))*
* (((CV1*A+CV2)*A+CV3)*A+CV4)
RETURN
10 AA=A*A
VV=V*V
U=(AA+VV)*C14142
UU=U*U
VOIGTK=((((AA-TEN*VV)*AA*THREE+FIFTN*VV*VV)/UU+THREE*VV-AA)/UU+
* ONE)*A*C79788/U
RETURN
END
C
C
C *******************************************************************
C
C
SUBROUTINE RTECD
C ================
C
C solution of the radiative transfer equation by Feautrier method
C for two continuum points
C used when one employs RTEDFE, ie. the DFE method for the
C transfer equation for the inner frequency points
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
DIMENSION D(3,3,MDEPTH),ANU(3,MDEPTH),AANU(MDEPTH),DDD(MDEPTH),
* AA(3,3),BB(3,3),CC(3,3),VL(3),AMU(3),WTMU(3),
* DT(MDEPTH),TAU(MDEPTH),
* RDD(MDEPTH),FKK(MDEPTH),ST0(MDEPTH),SS0(MDEPTH),
* RINT(MDEPTH,MMU)
COMMON/RTEOPA/CH(MFREQ,MDEPTH),ET(MFREQ,MDEPTH),
* SC(MFREQ,MDEPTH)
COMMON/EMFLUX/FLUX(MFREQ),FLUXC(MFREQC)
COMMON/CONSCA/SCC1(mdepth),SCC2(MDEPTH)
PARAMETER (UN=1.D0, HALF=0.5D0)
PARAMETER (THIRD=UN/3., QUART=UN/4., SIXTH=UN/6.D0)
PARAMETER (TAUREF = 0.6666666666667)
DATA AMU/.887298334620742D0,.5D0,.112701665379258D0/,
1 WTMU/.277777777777778D0,.444444444444444D0,.277777777777778D0
1 /
C
NMU=3
ND1=ND-1
C
C loop over two continuum frequencies
C
DO 100 IJ=1,2
TAUMIN=CH(IJ,1)/DENS(1)*DM(1)*HALF
TAU(1)=TAUMIN
DO I=1,ND1
DT(I)=(DM(I+1)-DM(I))*(CH(IJ,I+1)/DENS(I+1)+CH(IJ,I)/DENS(I))*
* HALF
ST0(I)=ET(IJ,I)/CH(IJ,I)
SS0(I)=-SC(IJ,I)/CH(IJ,I)
TAU(I+1)=TAU(I)+DT(I)
IF(TAU(I).LE.TAUREF.AND.TAU(I+1).GT.TAUREF) IREF=I
END DO
ST0(ND)=ET(IJ,ND)/CH(IJ,ND)
SS0(ND)=-SC(IJ,ND)/CH(IJ,ND)
FR=FREQ(IJ)
BNU=BN*(FR*1.E-15)**3
PLAND=BNU/(EXP(HK*FR/TEMP(ND ))-UN)
DPLAN=BNU/(EXP(HK*FR/TEMP(ND-1))-UN)
DPLAN=(PLAND-DPLAN)/DT(ND1)
C
C +++++++++++++++++++++++++++++++++++++++++
C FIRST PART - VARIABLE EDDINGTON FACTORS
C +++++++++++++++++++++++++++++++++++++++++
C
C Allowance for wind blanketing
C
ALB1=0.
DO I=1,NMU
C
C ************************
C UPPER BOUNDARY CONDITION
C ************************
C
ID=1
DTP1=DT(1)
Q0=0.
P0=0.
C
C allowance for non-zero optical depth at the first depth point
C
TAMM=TAUMIN/AMU(I)
IF(TAMM.GT.0.01) THEN
P0=UN-EXP(-TAMM)
ELSE
P0=TAMM*(UN-HALF*TAMM*(UN-TAMM*THIRD*(UN-QUART*TAMM)))
END IF
EX=UN-P0
Q0=Q0+P0*AMU(I)*WTMU(I)
C
DIV=DTP1/AMU(I)*THIRD
VL(I)=DIV*(ST0(ID)+HALF*ST0(ID+1))+ST0(ID)*P0
DO J=1,NMU
BB(I,J)=SS0(ID)*WTMU(J)*(DIV+P0)-ALB1*WTMU(J)
CC(I,J)=-HALF*DIV*SS0(ID+1)*WTMU(J)
END DO
BB(I,I)=BB(I,I)+AMU(I)/DTP1+UN+DIV
CC(I,I)=CC(I,I)+AMU(I)/DTP1-HALF*DIV
ANU(I,ID)=0.
END DO
C
C Matrix inversion: instead of calling MATINV, a very fast inlined
C routine MINV3 for a specific 3 x 3 matrix inversion
C
C CALL MATINV(BB,NMU,3)
C
C ******************************
BB(2,1)=BB(2,1)/BB(1,1)
BB(2,2)=BB(2,2)-BB(2,1)*BB(1,2)
BB(2,3)=BB(2,3)-BB(2,1)*BB(1,3)
BB(3,1)=BB(3,1)/BB(1,1)
BB(3,2)=(BB(3,2)-BB(3,1)*BB(1,2))/BB(2,2)
BB(3,3)=BB(3,3)-BB(3,1)*BB(1,3)-BB(3,2)*BB(2,3)
C
BB(3,2)=-BB(3,2)
BB(3,1)=-BB(3,1)-BB(3,2)*BB(2,1)
BB(2,1)=-BB(2,1)
C
BB(3,3)=UN/BB(3,3)
BB(2,3)=-BB(2,3)*BB(3,3)/BB(2,2)
BB(2,2)=UN/BB(2,2)
BB(1,3)=-(BB(1,2)*BB(2,3)+BB(1,3)*BB(3,3))/BB(1,1)
BB(1,2)=-BB(1,2)*BB(2,2)/BB(1,1)
BB(1,1)=UN/BB(1,1)
C
BB(1,1)=BB(1,1)+BB(1,2)*BB(2,1)+BB(1,3)*BB(3,1)
BB(1,2)=BB(1,2)+BB(1,3)*BB(3,2)
BB(2,1)=BB(2,2)*BB(2,1)+BB(2,3)*BB(3,1)
BB(2,2)=BB(2,2)+BB(2,3)*BB(3,2)
BB(3,1)=BB(3,3)*BB(3,1)
BB(3,2)=BB(3,3)*BB(3,2)
C ******************************
C
DO I=1,NMU
DO J=1,NMU
S=0.
DO K=1,NMU
S=S+BB(I,K)*CC(K,J)
END DO
D(I,J,ID)=S
ANU(I,1)=ANU(I,1)+BB(I,J)*VL(J)
END DO
END DO
C
C *******************
C NORMAL DEPTH POINTS
C *******************
C
DO ID=2,ND1
DTM1=DTP1
DTP1=DT(ID)
DT0=HALF*(DTM1+DTP1)
AL=UN/DTM1/DT0
GA=UN/DTP1/DT0
BE=AL+GA
A=(UN-HALF*AL*DTP1*DTP1)*SIXTH
C=(UN-HALF*GA*DTM1*DTM1)*SIXTH
B=UN-A-C
VL0=A*ST0(ID-1)+B*ST0(ID)+C*ST0(ID+1)
DO I=1,NMU
DO J=1,NMU
AA(I,J)=-A*SS0(ID-1)*WTMU(J)
CC(I,J)=-C*SS0(ID+1)*WTMU(J)
BB(I,J)=B*SS0(ID)*WTMU(J)
END DO
END DO
DO I=1,NMU
DIV=AMU(I)**2
VL(I)=VL0
AA(I,I)=AA(I,I)+DIV*AL-A
CC(I,I)=CC(I,I)+DIV*GA-C
BB(I,I)=BB(I,I)+DIV*BE+B
END DO
DO I=1,NMU
S1=0.
DO J=1,NMU
S=0.
S1=S1+AA(I,J)*ANU(J,ID-1)
DO K=1,NMU
S=S+AA(I,K)*D(K,J,ID-1)
END DO
BB(I,J)=BB(I,J)-S
END DO
VL(I)=VL(I)+S1
END DO
C
C Matrix inversion: instead of calling MATINV, a very fast inlined
C routine MINV3 for a specific 3 x 3 matrix inversion
C
C CALL MATINV(BB,NMU,3)
C
C ******************************
BB(2,1)=BB(2,1)/BB(1,1)
BB(2,2)=BB(2,2)-BB(2,1)*BB(1,2)
BB(2,3)=BB(2,3)-BB(2,1)*BB(1,3)
BB(3,1)=BB(3,1)/BB(1,1)
BB(3,2)=(BB(3,2)-BB(3,1)*BB(1,2))/BB(2,2)
BB(3,3)=BB(3,3)-BB(3,1)*BB(1,3)-BB(3,2)*BB(2,3)
C
BB(3,2)=-BB(3,2)
BB(3,1)=-BB(3,1)-BB(3,2)*BB(2,1)
BB(2,1)=-BB(2,1)
C
BB(3,3)=UN/BB(3,3)
BB(2,3)=-BB(2,3)*BB(3,3)/BB(2,2)
BB(2,2)=UN/BB(2,2)
BB(1,3)=-(BB(1,2)*BB(2,3)+BB(1,3)*BB(3,3))/BB(1,1)
BB(1,2)=-BB(1,2)*BB(2,2)/BB(1,1)
BB(1,1)=UN/BB(1,1)
C
BB(1,1)=BB(1,1)+BB(1,2)*BB(2,1)+BB(1,3)*BB(3,1)
BB(1,2)=BB(1,2)+BB(1,3)*BB(3,2)
BB(2,1)=BB(2,2)*BB(2,1)+BB(2,3)*BB(3,1)
BB(2,2)=BB(2,2)+BB(2,3)*BB(3,2)
BB(3,1)=BB(3,3)*BB(3,1)
BB(3,2)=BB(3,3)*BB(3,2)
C ******************************
C
DO I=1,NMU
ANU(I,ID)=0.
DO J=1,NMU
S=0.
DO K=1,NMU
S=S+BB(I,K)*CC(K,J)
END DO
D(I,J,ID)=S
ANU(I,ID)=ANU(I,ID)+BB(I,J)*VL(J)
END DO
END DO
END DO
C
C ************
C LOWER BOUNDARY CONDITION
C ************
C
ID=ND
DO I=1,NMU
AA(I,I)=AMU(I)/DTP1
VL(I)=PLAND+AMU(I)*DPLAN+AA(I,I)*ANU(I,ID-1)
DO J=1,NMU
BB(I,J)=-AA(I,I)*D(I,J,ID-1)
END DO
BB(I,I)=BB(I,I)+AA(I,I)+UN
END DO
C
C Matrix inversion: instead of calling MATINV, a very fast inlined
C routine MINV3 for a specific 3 x 3 matrix inversion
C
C CALL MATINV(BB,NMU,3)
C
C ******************************
BB(2,1)=BB(2,1)/BB(1,1)
BB(2,2)=BB(2,2)-BB(2,1)*BB(1,2)
BB(2,3)=BB(2,3)-BB(2,1)*BB(1,3)
BB(3,1)=BB(3,1)/BB(1,1)
BB(3,2)=(BB(3,2)-BB(3,1)*BB(1,2))/BB(2,2)
BB(3,3)=BB(3,3)-BB(3,1)*BB(1,3)-BB(3,2)*BB(2,3)
C
BB(3,2)=-BB(3,2)
BB(3,1)=-BB(3,1)-BB(3,2)*BB(2,1)
BB(2,1)=-BB(2,1)
C
BB(3,3)=UN/BB(3,3)
BB(2,3)=-BB(2,3)*BB(3,3)/BB(2,2)
BB(2,2)=UN/BB(2,2)
BB(1,3)=-(BB(1,2)*BB(2,3)+BB(1,3)*BB(3,3))/BB(1,1)
BB(1,2)=-BB(1,2)*BB(2,2)/BB(1,1)
BB(1,1)=UN/BB(1,1)
C
BB(1,1)=BB(1,1)+BB(1,2)*BB(2,1)+BB(1,3)*BB(3,1)
BB(1,2)=BB(1,2)+BB(1,3)*BB(3,2)
BB(2,1)=BB(2,2)*BB(2,1)+BB(2,3)*BB(3,1)
BB(2,2)=BB(2,2)+BB(2,3)*BB(3,2)
BB(3,1)=BB(3,3)*BB(3,1)
BB(3,2)=BB(3,3)*BB(3,2)
C ******************************
C
DO I=1,NMU
ANU(I,ID)=0.
DO J=1,NMU
D(I,J,ID)=0.
ANU(I,ID)=ANU(I,ID)+BB(I,J)*VL(J)
END DO
END DO
C
C ************
C BACKSOLUTION
C ************
C
DO ID=ND-1,1,-1
DO I=1,NMU
DO J=1,NMU
ANU(I,ID)=ANU(I,ID)+D(I,J,ID)*ANU(J,ID+1)
END DO
END DO
AJ=0.
AK=0.
DO I=1,NMU
DIV=WTMU(I)*ANU(I,ID)
AJ=AJ+DIV
AK=AK+DIV*AMU(I)**2
END DO
FKK(ID)=AK/AJ
END DO
C
C surface Eddington actor
C
AH=0.
DO I=1,NMU
AH=AH+WTMU(I)*AMU(I)*ANU(I,1)
END DO
FH=AH/AJ-HALF*ALB1
C
FKK(ND)=THIRD
C
C
C +++++++++++++++++++++++++++++++++++++++++
C SECOND PART - DETERMINATION OF THE MEAN INTENSITIES
C RECALCULATION OF THE TRANSFER EQUATION WITH GIVEN EDDINGTON FACTORS
C +++++++++++++++++++++++++++++++++++++++++
C
DTP1=DT(1)
DIV=DTP1*THIRD
BBB=FKK(1)/DTP1+FH+DIV+SS0(1)*(DIV+Q0)
CCC=FKK(2)/DTP1-HALF*DIV*(UN+SS0(2))
VLL=DIV*(ST0(1)+HALF*ST0(2))+ST0(1)*Q0
AANU(1)=VLL/BBB
DDD(1)=CCC/BBB
DO ID=2,ND1
DTM1=DTP1
DTP1=DT(ID)
DT0=HALF*(DTP1+DTM1)
AL=UN/DTM1/DT0
GA=UN/DTP1/DT0
A=(UN-HALF*DTP1*DTP1*AL)*SIXTH
C=(UN-HALF*DTM1*DTM1*GA)*SIXTH
AAA=AL*FKK(ID-1)-A*(UN+SS0(ID-1))
CCC=GA*FKK(ID+1)-C*(UN+SS0(ID+1))
BBB=(AL+GA)*FKK(ID)+(UN-A-C)*(UN+SS0(ID))
VLL=A*ST0(ID-1)+C*ST0(ID+1)+(UN-A-C)*ST0(ID)
BBB=BBB-AAA*DDD(ID-1)
DDD(ID)=CCC/BBB
AANU(ID)=(VLL+AAA*AANU(ID-1))/BBB
END DO
BBB=FKK(ND)/DTP1+HALF
AAA=FKK(ND1)/DTP1
BBB=BBB-AAA*DDD(ND1)
VLL=HALF*PLAND+DPLAN*THIRD
RDD(ND)=(VLL+AAA*AANU(ND1))/BBB
DO IID=1,ND1
ID=ND-IID
RDD(ID)=AANU(ID)+DDD(ID)*RDD(ID+1)
END DO
FLUX(IJ)=FH*RDD(1)
C
if(ij.eq.1) then
do id=1,nd
scc1(id)=-rdd(id)*ss0(id)*ch(1,id)
end do
else
do id=1,nd
scc2(id)=-rdd(id)*ss0(id)*ch(2,id)
end do
end if
C
C if needed (if iprin.ge.3), output of interesting physical
C quantities at the monochromatic optical depth tau(nu)=2/3
C
IF(IPRIN.ge.3) THEN
T0=LOG(TAU(IREF+1)/TAU(IREF))
X0=LOG(TAU(IREF+1)/TAUREF)/T0
X1=LOG(TAUREF/TAU(IREF))/T0
DMREF=EXP(LOG(DM(IREF))*X0+LOG(DM(IREF+1))*X1)
TREF=EXP(LOG(TEMP(IREF))*X0+LOG(TEMP(IREF+1))*X1)
STREF=EXP(LOG(ST0(IREF))*X0+LOG(ST0(IREF+1))*X1)
SCREF=EXP(LOG(-SS0(IREF))*X0+LOG(-SS0(IREF+1))*X1)
SSREF=EXP(LOG(-SS0(IREF)*RDD(IREF))*X0+
* LOG(-SS0(IREF+1)*RDD(IREF+1))*X1)
SREF=STREF+SSREF
ALM=2.997925E18/FREQ(IJ)
WRITE(96,636) IJ,ALM,IREF,DMREF,TREF,SCREF,STREF,SSREF,SREF
636 FORMAT(1H ,I3,F10.3,I4,1PE10.3,0PF10.1,1X,1P3E10.3,E11.3)
END IF
c
C ********************************************************************
C
C THIRD PART - DETERMINATION OF THE SPECIFIC INTENSITIES
C RECALCULATION OF THE TRANSFER EQUATION WITH GIVEN SOURCE FUNCTION
C
if(iflux.eq.0) go to 100
DO IMU=1,NMU0
ANX=ANGL(IMU)
DTP1=DT(1)
DIV=DTP1*THIRD/ANX
C
TAMM=TAUMIN/ANX
IF(TAMM.LT.0.01) THEN
P0=TAMM*(UN-HALF*TAMM*(UN-TAMM*THIRD*(UN-QUART*TAMM)))
ELSE
P0=UN-EXP(-TAMM)
END IF
C
BBB=ANX/DTP1+UN+DIV
CCC=ANX/DTP1-HALF*DIV
VLL=(DIV+P0)*(ST0(1)-SS0(1)*RDD(1))
* +HALF*DIV*(ST0(2)-SS0(2)*RDD(2))
AANU(1)=VLL/BBB
DDD(1)=CCC/BBB
DIV=ANX*ANX
DO ID=2,ND1
DTM1=DT(ID-1)
DTP1=DT(ID)
DT0=HALF*(DTP1+DTM1)
AL=UN/DTM1/DT0
GA=UN/DTP1/DT0
A=(UN-HALF*DTP1*DTP1*AL)*SIXTH
C=(UN-HALF*DTM1*DTM1*GA)*SIXTH
AAA=DIV*AL-A
CCC=DIV*GA-C
BBB=DIV*(AL+GA)+UN-A-C
VLL=A*(ST0(ID-1)-SS0(ID-1)*RDD(ID-1))+
* C*(ST0(ID+1)-SS0(ID+1)*RDD(ID+1))+
* (UN-A-C)*(ST0(ID)-SS0(ID)*RDD(ID))
BBB=BBB-AAA*DDD(ID-1)
DDD(ID)=CCC/BBB
AANU(ID)=(VLL+AAA*AANU(ID-1))/BBB
END DO
C
C Lower boundary condition
C
AAA=ANX/DTP1
BBB=AAA+UN
VLL=PLAND+ANX*DPLAN
C
RINT(ND,IMU)=(VLL+AAA*AANU(ND1))/(BBB-AAA*DDD(ND1))
DO IID=1,ND1
ID=ND-IID
RINT(ID,IMU)=AANU(ID)+DDD(ID)*RINT(ID+1,IMU)
END DO
END DO
c
FLX=0.
DO IMU=1,NMU0
RINT(1,IMU)=RINT(1,IMU)/HALF
FLX=FLX+ANGL(IMU)*WANGL(IMU)*RINT(1,IMU)
END DO
FLX=FLX*HALF
C
C output of emergent specific intensities in continuum to Unit 18
C
if(iflux.ge.1) then
WRITE(18,641) WLAM(IJ),FLX,(RINT(1,IMU),IMU=1,NMU0)
end if
100 CONTINUE
641 FORMAT(1H ,f10.3,1pe15.5/(1P5E15.5))
c
c call rtedfe for the internal points
c
CALL RTEDFE
c
RETURN
END
C
C
C *******************************************************************
C
C
SUBROUTINE RTEDFE
C =================
C
C Solution of the radiative transfer equation - frequency by
C frequency - for the known source function.
C
C The numerical method used:
c Discontinuous Finite Element (DFE) method
c Castor, Dykema, Klein, 1992, ApJ 387, 561.
C
C Input through blank COMMON block:
C CH - two-dimensional array absorption coefficient (frequency,
C depth)
C ET - emission coefficient (frequency, depth)
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
PARAMETER (ONE=1.,TWO=2.,HALF=0.5)
PARAMETER (TAUREF = 0.6666666666667)
DIMENSION DT(MDEPTH),ST0(MDEPTH),AB0(MDEPTH),DELDM(MDEPTH),
* dtau(mdepth),rip(mdepth),rim(mdepth),riup(mdepth),
* AMU(3),WTMU(3),RINT1(MMU),
* AMUI(MMU),AMUW(MMU),TAU(MDEPTH),SS0(MDEPTH)
COMMON/RTEOPA/CH(MFREQ,MDEPTH),ET(MFREQ,MDEPTH),
* SC(MFREQ,MDEPTH)
COMMON/EMFLUX/FLUX(MFREQ),FLUXC(MFREQC)
COMMON/CONSCA/SCC1(mdepth),SCC2(MDEPTH)
COMMON/REFDEP/IREFD(MFREQ)
C
C angle points (AMU) and angular integration weights (WTMU)
C
DATA AMU/.887298334620742D0,.5D0,.112701665379258D0/,
* WTMU/.277777777777778D0,.444444444444444D0,.277777777777778D0/
C
DO I=1,ND-1
DELDM(I)=HALF*(DM(I+1)-DM(I))
END DO
C
c angle points
C
IF(IFLUX.EQ.0) THEN
NMUS=NMU
do i=1,nmu
amui(i)=amu(i)
amuw(i)=amu(i)*wtmu(i)
end do
ELSE IF(IFLUX.EQ.1) THEN
NMUS=NMU0
do i=1,nmus
amui(i)=angl(i)
amuw(i)=angl(i)*wangl(i)
end do
END IF
C
C overall loop over frequencies
C
DO IJ=1,NFREQ
FR=FREQ(IJ)
C
C total source function
C
DO ID=1,ND
AB0(ID)=CH(IJ,ID)
SCT=FRX1(IJ)*SCC2(ID)+FRX2(IJ)*SCC1(ID)
ST0(ID)=(ET(IJ,ID)+SCT)/AB0(ID)
SS0(ID)=-SCT/AB0(ID)
END DO
AH=0.
C
C optical depth scale
C
TAU(1)=0.
IREF=1
DO ID=1,ND-1
DT(ID)=DELDM(ID)*(AB0(ID+1)/DENS(ID+1)+AB0(ID)/DENS(ID))
TAU(ID+1)=TAU(ID)+DT(ID)
IF(TAU(ID).LE.TAUREF.AND.TAU(ID+1).GT.TAUREF) IREF=ID
END DO
IREFD(IJ)=IREF
C
C quantities for the lower boundary condition
C
FR15=FR*1.D-15
BNU=BN*FR15*FR15*FR15
PLAND=BNU/(EXP(HK*FR/TEMP(ND))-ONE)
DPLAN=BNU/(EXP(HK*FR/TEMP(ND-1))-ONE)
DPLAN=(PLAND-DPLAN)/DT(ND-1)
c
c loop over angle poits
c
DO I=1,NMUS
do id=1,nd-1
dtau(id)=dt(id)/amui(i)
enddo
C
c outgoing intensity
c
rip(nd)=PLAND+AMUI(I)*DPLAN
id=nd-1
dt0=dtau(id)
dtaup1=dt0+one
dtau2=dt0*dt0
bb=two*dtaup1
cc=dt0*dtaup1
aa=dtau2+bb
rim(id+1)=(aa*rip(id+1)-cc*st0(id+1)+dt0*st0(id))/bb
do id=nd-1,1,-1
dt0=dtau(id)
dtaup1=dt0+one
dtau2=dt0*dt0
bb=two*dtaup1
cc=dt0*dtaup1
aa=one/(dtau2+bb)
rim(id)=(two*rim(id+1)+dt0*st0(id+1)+cc*st0(id))*aa
rip(id+1)=(bb*rim(id+1)+cc*st0(id+1)-dt0*st0(id))*aa
enddo
do id=2,nd-1
riup(id)=(rim(id)*dtau(id-1)+rip(id)*dtau(id))/
* (dtau(id-1)+dtau(id))
enddo
riup(1)=rim(1)
riup(nd)=rip(nd)
c
AH=AH+AMUW(I)*RIUP(1)
RINT1(I)=RIUP(1)
rint1(i)=max(rint1(i),1.e-40)
c
c end of the loop over angle points
c
END DO
c
FLUX(IJ)=AH*HALF
if(iflux.ge.1) then
C
C output of emergent specific intensities to Unit 10 (line points)
C or 18 (two continuum points)
C
IF(IJ.GT.2) THEN
WRITE(10,618) WLAM(IJ),FLUX(IJ),(RINT1(IMU),IMU=1,NMUS)
ELSE
WRITE(18,618) WLAM(IJ),FLUX(IJ),(RINT1(IMU),IMU=1,NMUS)
END IF
end if
618 FORMAT(1H ,f10.3,1pe15.5/(1P5E15.5))
C
C if needed (if iprin.ge.3), output of interesting physical
C quantities at the monochromatic optical depth tau(nu)=2/3
C
IF(IPRIN.GE.3) THEN
T0=LOG(TAU(IREF+1)/TAU(IREF))
X0=LOG(TAU(IREF+1)/TAUREF)/T0
X1=LOG(TAUREF/TAU(IREF))/T0
DMREF=EXP(LOG(DM(IREF))*X0+LOG(DM(IREF+1))*X1)
TREF=EXP(LOG(TEMP(IREF))*X0+LOG(TEMP(IREF+1))*X1)
STREF=EXP(LOG(ST0(IREF))*X0+LOG(ST0(IREF+1))*X1)
SSREF=EXP(LOG(-SS0(IREF))*X0+LOG(-SS0(IREF+1))*X1)
SREF=STREF+SSREF
ALM=2.997925E18/FREQ(IJ)
WRITE(96,636) IJ,ALM,IREF,DMREF,TREF,STREF,SSREF,SREF
636 FORMAT(1H ,I3,F10.3,I4,1PE10.3,0PF10.1,1X,1P3E10.3)
END IF
C
C end of the loop over frequencies
C
END DO
RETURN
END
C
C
C *******************************************************************
C
C
SUBROUTINE PARTF(IAT,IZI,T,ANE,XMAXN,U)
C =======================================
C
C Partition functions
C The standard evaluation is for hydrogen through zinc, for
C neutrals and first four ionization degrees.
C Basically after Traving, Baschek, and Holweger, Abhand. Hamburg.
C Sternwarte. Band VIII, Nr. 1 (1966)
C
C For higher atomic numbers modified Kurucz routine PFSAHA,
C called PFHEAV here is used. The routine was provided by
C Charles Proffitt.
C
C The routine calls special procedures for Fe and Ni; or
C the values based on the tabulated Opacity Project ionization
C fractions
C
C Input:
C IAT - atomic number
C IZI - ionic charge (=1 for neutrals, =2 for once ionized, etc)
C T - temperature
C ANE - electron density
C XMAXN - principal quantum number of the last bound level
C
C Output:
C U - partition function
C
INCLUDE 'PARAMS.FOR'
PARAMETER (NIONS=123, NSS=222)
PARAMETER (UN=1.D0, HALF=0.5D0, TWO=2.D0, TRHA=1.5D0,
* THIRD=UN/3.D0, SIXTH=UN/6.D0)
REAL*4 AHH( 6), ALB(12), AB (11), AC (19), AN (30), AO (49),
* AF (34), ANN(23), ANA(19), AMG(15), AAL(17), ASI(23),
* AP (19), AS (29), ACL(28), AAR(25), AK (30), ACA(17),
* ASC(24), ATI(33), AV (33), ACR(29), AMN(28), AFE(35),
* ACO(29), ANI(23), ACU(20), AZN(18)
REAL*4 GHH( 6), GLB(12), GB (11), GC (19), GN (30), GO (49),
* GF (34), GNN(23), GNA(19), GMG(15), GAL(17), GSI(23),
* GP (19), GS (29), GCL(28), GAR(25), GK (30), GCA(17),
* GSC(24), GTI(33), GV (33), GCR(29), GMN(28), GFE(35),
* GCO(29), GNI(23), GCU(20), GZN(18)
REAL*4 XL1(99), XL2(123), XL(222),
* CH1(66), CH2(72), CH3(55), CH4(29), CHION(222)
REAL*4 ALF(678), GAM(678)
INTEGER II1(5,15),II2(5,15),INDEX0(5,30),
* IS1(53),IS2(70),IS(123),INDEXS(123),
* IM1(99),IM2(123),IM(222),INDEXM(222),
* IGP1(99),IGP2(123),IGPR(222),
* IG01(53),IG02(70),IG0(123)
DIMENSION IGLE(28)
C
EQUIVALENCE ( AHH(1), ALF( 1)),( ALB(1), ALF( 7)),
* ( AB (1), ALF( 19)),
* ( AC (1), ALF( 30)),( AN (1), ALF( 49)),
* ( AO (1), ALF( 79)),( AF (1), ALF(128)),
* ( ANN(1), ALF(162)),( ANA(1), ALF(185)),
* ( AMG(1), ALF(204)),( AAL(1), ALF(219)),
* ( ASI(1), ALF(236)),( AP (1), ALF(259)),
* ( AS (1), ALF(278)),( ACL(1), ALF(307)),
* ( AAR(1), ALF(335)),( AK (1), ALF(360)),
* ( ACA(1), ALF(390)),( ASC(1), ALF(407)),
* ( ATI(1), ALF(431)),( AV (1), ALF(464)),
* ( ACR(1), ALF(497)),( AMN(1), ALF(526)),
* ( AFE(1), ALF(554)),( ACO(1), ALF(589)),
* ( ANI(1), ALF(618)),( ACU(1), ALF(641)),
* ( AZN(1), ALF(661))
EQUIVALENCE ( GHH(1), GAM( 1)),( GLB(1), GAM( 7)),
* ( GB (1), GAM( 19)),
* ( GC (1), GAM( 30)),( GN (1), GAM( 49)),
* ( GO (1), GAM( 79)),( GF (1), GAM(128)),
* ( GNN(1), GAM(162)),( GNA(1), GAM(185)),
* ( GMG(1), GAM(204)),( GAL(1), GAM(219)),
* ( GSI(1), GAM(236)),( GP (1), GAM(259)),
* ( GS (1), GAM(278)),( GCL(1), GAM(307)),
* ( GAR(1), GAM(335)),( GK (1), GAM(360)),
* ( GCA(1), GAM(390)),( GSC(1), GAM(407)),
* ( GTI(1), GAM(431)),( GV (1), GAM(464)),
* ( GCR(1), GAM(497)),( GMN(1), GAM(526)),
* ( GFE(1), GAM(554)),( GCO(1), GAM(589)),
* ( GNI(1), GAM(618)),( GCU(1), GAM(641)),
* ( GZN(1), GAM(661))
EQUIVALENCE ( CH1(1), CHION( 1)),
* ( CH2(1), CHION( 67)),
* ( CH3(1), CHION(139)),
* ( CH4(1), CHION(194)),
* ( XL1(1), XL( 1)),
* ( XL2(1), XL(100))
EQUIVALENCE ( IS1(1), IS(1)), ( IS2(1), IS( 54)),
* ( IM1(1), IM(1)), ( IM2(1), IM(100)),
* (IGP1(1),IGPR(1)), (IGP2(1),IGPR(100)),
* (IG01(1), IG0(1)), (IG02(1), IG0( 54)),
* (II1(1,1),INDEX0(1,1)),(II2(1,1),INDEX0(1,16))
C
DATA IGLE/2,1,2,1,6,9,4,9,6,1,2,1,6,9,4,9,6,1,
* 10,21,28,25,6,25,28,21,10,21/
C
DATA II1 / 1, -1, 0, 0, 0,
* 2, 3, -1, 0, 0,
* 4, 5, -2, -1, 0,
* 6, 7, -1, -2, -1,
* 8, 9, 10, -1, -2,
* 11, 12, 13, 14, -1,
* 15, 16, 17, 18, 19,
* 20, 21, 22, 23, 24,
* 25, 26, 27, 28, -6,
* 29, 30, 31, 32, -9,
* 33, 34, 35, 36, -4,
* 37, 38, 39, 40, -9,
* 41, 42, 43, 44, -6,
* 45, 46, 47, 48, -1,
* 49, 50, 51, 52, 53 /
DATA II2 / 54, 55, 56, 57, 58,
* 59, 60, 61, 62, 63,
* 64, 65, 66, 67, 68,
* 69, 70, 71, 72, 73,
* 74, 75, 76, 77, -9,
* 78, 76, 80, 81, 82,
* 83, 84, 85, 86, 87,
* 88, 89, 90, 91, 92,
* 93, 94, 95, 96, 97,
* 98, 99, 100, 101, 102,
* 103, 104, 105, 106, 107,
* 108, 109, 110, 111, -25,
* 112, 113, 114, 115, -1,
* 116, 117, 118, 119, -1,
* 120, 121, 122, 123, -1 /
C
DATA IG01 / 2,
* 1, 2,
* 2, 1,
* 1, 2,
* 2, 1, 2,
* 1, 2, 1, 2,
* 4, 1, 2, 1, 2,
* 5, 4, 1, 2, 1,
* 4, 5, 4, 1,
* 1, 4, 5, 4,
* 2, 1, 4, 5,
* 1, 2, 1, 4,
* 2, 1, 2, 1,
* 1, 2, 1, 2,
* 4, 1, 2, 1, 2 /
DATA IG02 / 5, 4, 1, 2, 1,
* 4, 5, 4, 1, 2,
* 1, 4, 5, 4, 1,
* 2, 1, 4, 5, 4,
* 1, 2, 1, 4,
* 4, 3, 4, 1, 4,
* 5, 4, 5, 4, 1,
* 4, 1, 4, 5, 4,
* 7, 6, 1, 4, 5,
* 6, 7, 6, 1, 4,
* 9, 10, 9, 6, 1,
* 10, 9, 10, 20,
* 9, 6, 9, 28,
* 2, 1, 6, 21,
* 1, 2, 1, 10 /
C
DATA IS1 / 1,
* 1, 1,
* 1, 1,
* 2, 1,
* 1, 2, 1,
* 1, 2, 2, 1,
* 2, 2, 3, 2, 1,
* 3, 4, 3, 5, 2,
* 2, 3, 4, 3,
* 2, 2, 3, 2,
* 1, 2, 2, 3,
* 1, 1, 2, 2,
* 2, 2, 1, 2,
* 1, 2, 2, 1,
* 2, 1, 1, 1, 1 /
DATA IS2 / 3, 2, 1, 2, 2,
* 2, 3, 2, 1, 1,
* 2, 2, 3, 1, 1,
* 1, 2, 3, 3, 2,
* 2, 1, 2, 2,
* 3, 1, 1, 1, 1,
* 3, 2, 1, 1, 1,
* 2, 3, 1, 1, 1,
* 3, 2, 1, 1, 1,
* 3, 2, 1, 1, 1,
* 3, 2, 2, 1, 1,
* 4, 2, 1, 1,
* 2, 2, 1, 1,
* 3, 2, 1, 1,
* 3, 3, 1, 1 /
C
DATA IM1 / 2,
* 2, 2,
* 2, 2,
* 3, 2, 3,
* 3, 3, 2, 3,
* 4, 3, 3, 3, 3, 3,
* 3, 3, 4, 3, 3, 4, 2, 3, 2, 3,
* 4, 2, 2, 4, 2, 3, 3, 4, 4, 2,
* 3, 4, 2, 2, 2, 3, 3,
* 3, 3, 4, 2, 2,
* 4, 2, 3, 2, 5, 2, 2,
* 2, 2, 3, 2, 4, 2, 2, 4, 2,
* 2, 2, 2, 3, 2, 4, 2, 2,
* 3, 3, 2, 2, 3, 2,
* 3, 2, 3, 2, 3, 2, 2,
* 5, 4, 4, 4, 3, 3,
* 3, 2, 4, 4, 3, 3 /
DATA IM2 / 4, 2, 2, 4, 2, 5, 4, 2, 3, 1,
* 3, 2, 5, 2, 2, 4, 2, 4, 4,
* 2, 2, 3, 2, 4, 2, 2, 4, 4,
* 3, 2, 3, 3, 2, 3,
* 4, 2, 2, 4, 2,
* 3, 2, 3, 2, 2, 3, 2,
* 4, 3, 3, 5, 4, 2, 3,
* 6, 4, 3, 6, 3, 5, 4, 2,
* 5, 3, 5, 4, 4, 4, 4, 4,
* 3, 3, 3, 4, 4, 4, 4, 4,
* 3, 2, 3, 4, 4, 4, 4, 4,
* 4, 4, 3, 5, 3, 4, 4, 4, 4,
* 5, 3, 3, 3, 5, 4, 5, 1,
* 6, 3, 5, 3, 5, 1,
* 2, 3, 3, 4, 3, 4, 1,
* 2, 2, 2, 3, 3, 2, 3, 1 /
C
DATA IGP1 / 2,
* 4, 2,
* 2, 4,
* 4, 12, 2,
* 2, 4, 12, 2,
* 12, 2, 18, 4, 12, 2,
* 18, 10, 12, 24, 2, 18, 6, 4, 12, 2,
* 8, 20, 12, 18, 10, 2, 10, 12, 24, 20,
* 2, 18, 6, 18, 10, 4, 12,
* 18, 10, 8, 20, 12,
* 18, 10, 2, 10, 12, 24, 20,
* 8, 4, 18, 10, 8, 20, 12, 18, 10,
* 2, 8, 4, 18, 10, 8, 20, 12,
* 4, 2, 8, 4, 18, 10,
* 2, 18, 4, 12, 2, 8, 4,
* 12, 2, 18, 4, 12, 2,
* 18, 10, 12, 2, 4, 2 /
DATA IGP2 / 8, 20, 12, 18, 10, 12, 2, 18, 4, 12,
* 18, 10, 8, 20, 12, 18, 10, 12, 2,
* 8, 4, 18, 10, 8, 20, 12, 18, 12,
* 2, 8, 4, 18, 10, 2,
* 8, 20, 12, 18, 10,
* 4, 20, 2, 8, 4, 18, 10,
* 30, 42, 18, 20, 2, 12, 18,
* 56, 56, 28, 42, 10, 20, 2, 12,
* 50, 70, 56, 72, 64, 42, 20, 2,
* 12, 60, 40, 50, 18, 56, 42, 20,
* 14, 10, 50, 12, 72, 50, 56, 42,
* 60, 56, 40, 50, 18, 12, 72, 50, 56,
* 42, 70, 42, 18, 56, 24, 50, 12,
* 20, 56, 42, 18, 56, 50,
* 2, 30, 10, 20, 56, 42, 56,
* 4, 8, 12, 2, 30, 10, 20, 42 /
C
DATA XL1 /11.0,
* 8.0,12.0,
* 6.0, 6.0,
* 6.0, 4.0, 8.0,
* 9.0, 6.0, 4.0, 6.0,
* 6.0, 6.0, 5.0, 6.1, 5.0, 6.0,
* 6.1, 4.0, 5.0, 3.9, 6.0, 5.0, 4.0, 6.0, 6.3, 6.0,
* 8.0, 6.0, 3.4, 6.0, 5.0, 3.9, 3.9, 6.0, 4.9, 4.0,
* 5.9, 5.0, 4.9, 4.0, 4.0, 6.0, 6.0,
* 4.0, 4.0, 5.0, 4.0, 4.0,
* 5.0, 4.0, 3.9, 4.0, 5.0, 5.0, 4.0,
* 6.0, 6.0, 5.0, 4.0, 3.9, 4.0, 4.0, 5.0, 5.0,
* 7.0, 4.0, 4.0, 4.0, 4.0, 5.0, 5.0, 5.0,
* 7.0, 7.0, 5.0, 5.0, 5.0, 5.0,
* 7.0, 4.0, 7.0, 4.0, 7.0, 5.0, 5.0,
* 6.1, 5.9, 5.0, 5.0, 5.0, 7.0,
* 5.0, 5.0, 5.0, 7.0, 8.6, 8.0 /
DATA XL2 / 6.0, 5.0, 5.0, 5.0, 5.0, 3.5, 5.0,14.4, 5.0, 4.0,
* 6.0, 5.0, 5.0, 5.0, 5.0, 5.0, 5.0, 5.0, 5.2,
* 6.0, 6.0, 5.1, 5.0, 5.0, 5.0, 5.0, 5.0, 4.0,
* 7.0, 5.0, 5.0, 6.0, 6.0, 5.0,
* 6.0, 5.0, 5.0, 3.6, 4.0,
* 5.9, 6.0, 7.0, 5.0, 4.9, 5.0, 4.3,
* 4.9, 4.9, 5.0, 5.0, 6.0, 4.6, 3.8,
* 5.0, 4.7, 5.0, 5.0, 5.0, 5.0, 6.0, 4.8,
* 5.0, 5.0, 5.0, 5.0, 5.0, 5.0, 5.0,11.2,
* 5.0, 5.0, 5.0, 5.0, 5.0, 5.0, 5.0, 5.2,
* 6.0, 5.0, 6.0, 7.0, 5.0, 5.0, 5.0, 5.0,
* 5.0, 5.0, 5.0, 5.0, 5.0, 6.0, 5.0, 3.6, 3.8,
* 5.0, 5.0, 5.0, 5.0, 5.0, 5.0, 5.0, 3.0,
* 5.4, 5.0, 9.0, 5.0, 5.0, 3.0,
* 8.0, 6.0, 5.0, 7.0, 5.0, 5.0, 2.9,
* 8.0, 5.0, 5.0, 8.0, 5.0, 5.0, 5.0, 2.8 /
C
C
DATA CH1 / 13.595 ,
* 24.580 , 54.403 ,
* 5.390 , 75.619 ,
* 9.320 , 13.278 , 18.206 ,
* 8.296 , 25.149 , 31.146 , 37.920 ,
* 11.256 , 24.376 , 30.868 , 47.871 , 55.873 ,
* 64.476 ,
* 14.529 , 16.428 , 29.593 , 36.693 ,
* 47.426 , 55.765 , 63.626 , 77.450 , 87.445 ,
* 97.863 ,
* 13.614 , 16.938 , 18.630 ,
* 35.108 , 37.621 , 40.461 , 42.584 ,
* 54.886 , 63.733 , 70.556 ,
* 77.394 , 87.609 , 97.077 , 103.911 , 106.116 ,
* 113.873 , 125.863 ,
* 17.418 , 20.009 , 34.977 , 39.204 , 41.368 ,
* 62.646 , 65.774 , 69.282 , 71.882 ,
* 87.139 , 97.852 , 106.089 ,
* 21.559 , 21.656 , 41.071 , 44.274 ,
* 63.729 , 68.806 , 71.434 , 97.162 , 100.917 /
DATA CH2 / 5.138 , 47.290 , 47.459 , 71.647 , 75.504 ,
* 98.880 , 104.778 , 107.864 ,
* 7.644 , 15.031 , 80.117 , 80.393 ,
* 109.294 , 113.799 ,
* 5.984 , 10.634 , 18.823 , 25.496 ,
* 28.441 , 119.957 , 120.383 ,
* 8.149 , 16.339 , 22.894 ,
* 33.459 , 42.333 , 45.130 ,
* 10.474 , 11.585 , 19.720 ,
* 30.156 , 51.354 , 65.007 ,
* 10.357 , 12.200 , 13.401 , 23.405 , 24.807 ,
* 35.047 , 47.292 , 57.681 , 72.474 , 85.701 ,
* 13.014 , 14.458 , 23.798 , 26.041 , 27.501 ,
* 39.904 , 41.610 , 53.450 , 67.801 ,
* 15.755 , 15.933 , 27.619 , 29.355 ,
* 40.899 , 42.407 , 45.234 , 59.793 , 75.002 ,
* 4.339 , 31.810 , 32.079 ,
* 45.738 , 47.768 , 50.515 ,
* 60.897 , 63.890 , 65.849 , 82.799 , 85.150 /
DATA CH3 / 6.111 , 7.808 , 11.868 ,
* 51.207 , 51.596 , 67.181 , 69.536 ,
* 6.538 , 7.147 , 8.042 ,
* 12.891 , 24.752 , 74.090 , 91.847 ,
* 6.818 , 6.953 , 7.411 ,
* 13.635 , 14.685 , 28.137 , 43.236 , 100.083 ,
* 6.738 , 7.101 , 14.205 , 15.670 , 16.277 ,
* 29.748 , 48.464 , 65.198 ,
* 6.763 , 8.285 , 9.221 ,
* 16.493 , 18.662 , 30.950 , 49.580 , 73.093 ,
* 7.432 , 8.606 , 9.240 , 15.636 , 18.963 ,
* 33.690 , 53.001 , 76.006 ,
* 7.896 , 8.195 , 8.927 , 16.178 , 18.662 ,
* 30.640 , 34.607 , 56.001 , 79.001 /
DATA CH4 / 7.863 , 8.378 , 9.160 , 9.519 ,
* 17.052 , 18.958 , 33.491 , 53.001 ,
* 7.633 , 8.793 , 18.147 , 20.233 , 35.161 ,
* 56.025 ,
* 7.724 , 10.532 , 10.980 ,
* 20.286 , 27.985 , 36.826 , 61.975 ,
* 9.391 , 17.503 , 17.166 ,
* 17.959 , 27.757 , 28.310 , 39.701 , 65.074 /
C
DATA AHH / 20.4976, 747.5023,
* 28.1703, 527.8296, 22.2809, 987.7189 /
DATA GHH / 10.853 , 13.342 ,
* 21.170 , 24.125 , 43.708 , 53.542 /
C
DATA ALB / 8.4915, 97.5015, 23.3299, 192.6701,
* 9.1849, 32.9263, 183.8887, 19.9563, 88.0437,
* 6.0478, 35.9723, 233.9798 /
DATA GLB / 2.022 , 4.604 , 62.032 , 72.624 ,
* 2.735 , 6.774 , 8.569 , 10.750 , 11.672 ,
* 3.967 , 12.758 , 16.692 /
C
DATA AB / 4.0086, 19.6741, 402.3110,
* 9.7257, 30.9262, 186.3466, 44.1629, 60.8371,
* 6.0084, 23.5767, 76.4149 /
DATA GB / 0.002 , 3.971 , 7.882 ,
* 4.720 , 13.477 , 22.103 , 23.056 , 24.734 ,
* 6.000 , 24.540 , 32.300 /
C
DATA AC / 8.0158, 5.8833, 33.7521, 595.3432,
* 4.0003, 17.0841, 82.9154,
* 15.9808, 48.2044, 435.8093,
* 10.0281, 15.7574, 186.2109,
* 15.4127, 55.9559, 243.6311,
* 6.0057, 23.5757, 76.4185 /
DATA GC / 0.004 , 1.359 , 6.454 , 10.376 ,
* 0.008 , 16.546 , 21.614 ,
* 5.688 , 15.801 , 26.269 ,
* 6.691 , 25.034 , 40.975 ,
* 17.604 , 36.180 , 47.133 ,
* 8.005 , 40.804 , 54.492 /
C
DATA AN / 14.0499, 30.8008, 883.1443,
* 10.0000, 16.0000, 64.0000,
* 8.0462, 6.2669, 17.8696, 282.8084,
* 7.3751, 33.1390, 215.4829,
* 4.0003, 19.3533, 80.6462,
* 13.0998, 19.6425, 94.3035, 370.9539,
* 16.0000, 38.0000,
* 10.3289, 14.5021, 187.1624, 108.1615, 191.8383,
* 6.0044, 23.5612, 76.4344 /
DATA GN / 2.554 , 9.169 , 13.651 ,
* 12.353 , 13.784 , 14.874 ,
* 0.014 , 2.131 , 15.745 , 24.949 ,
* 6.376 , 14.246 , 29.465 ,
* 0.022 , 31.259 , 41.428 ,
* 7.212 , 15.228 , 34.387 , 46.708 ,
* 46.475 , 49.468 ,
* 8.693 , 37.650 , 65.479 , 61.155 , 79.196 ,
* 9.999 , 60.991 , 82.262 /
C
DATA AO / 4.0029, 5.3656, 36.2853,1044.3447,
* 131.0217, 868.9779, 14.8533, 93.1466,
* 12.7843, 5.6828, 98.0919, 829.4396,
* 50.9878, 199.0120, 2.0000, 6.0000, 10.0000,
* 10.0000, 30.0000, 50.0000,
* 8.0703, 5.7144, 84.1156, 529.0927,
* 5.6609, 28.9355, 111.3620, 494.0413,
* 45.5249, 134.4751,
* 4.0003, 21.2937, 78.7058,
* 12.8293, 16.2730, 123.6578, 327.2396,
* 48.7883, 102.2117, 20.0060, 161.9903,
* 28.4184, 61.5816,
* 10.5563, 13.2950, 188.1390,
* 14.6560, 129.4922, 470.8512 /
DATA GO / 0.022 , 2.019 , 9.812 , 13.087 ,
* 13.804 , 16.061 , 14.293 , 16.114 ,
* 3.472 , 7.437 , 22.579 , 32.035 ,
* 27.774 , 33.678 , 28.118 , 31.019 , 34.204 ,
* 30.892 , 33.189 , 36.181 ,
* 0.032 , 2.760 , 35.328 , 48.277 ,
* 7.662 , 16.786 , 42.657 , 54.522 ,
* 50.204 , 56.044 ,
* 0.048 , 50.089 , 66.604 ,
* 8.954 , 18.031 , 57.755 , 72.594 ,
* 68.388 , 82.397 , 31.960 , 76.876 ,
* 75.686 , 80.388 ,
* 10.747 , 52.323 , 94.976 ,
* 27.405 , 86.350 , 109.917 /
C
DATA AF / 2.0001, 39.9012, 122.0986,
* 10.0000, 30.0000, 50.0000,
* 4.0199, 5.5741, 22.1839, 190.2179,
* 53.0383, 126.9616, 31.6894, 75.3105,
* 13.5014, 7.9936, 55.7981, 298.7039,
* 26.2496, 63.7503, 2.0000, 6.0000, 10.0000,
* 28.7150, 71.2850,
* 8.0153, 6.1931, 21.7287, 48.7780, 278.2782,
* 178.5560, 421.4435, 51.7632, 95.2368 /
DATA GF / 0.050 , 13.317 , 15.692 ,
* 15.361 , 17.128 , 18.498 ,
* 0.048 , 2.735 , 20.079 , 30.277 ,
* 27.548 , 32.532 , 30.391 , 34.707 ,
* 4.479 , 12.072 , 31.662 , 51.432 ,
* 44.283 , 50.964 , 46.193 , 50.436 , 54.880 ,
* 50.816 , 57.479 ,
* 0.058 , 3.434 , 14.892 , 37.472 , 69.883 ,
* 67.810 , 83.105 , 72.435 , 79.747 /
C
DATA ANN / 34.5080, 365.4919, 16.5768, 183.4231,
* 2.0007, 89.5607, 380.4381, 26.4473, 63.5527,
* 4.0342, 5.6162, 11.5176, 72.8273,
* 48.5684, 131.4315, 31.1710, 76.8290,
* 14.0482, 13.3077, 52.7897, 467.8487,
* 54.2196, 195.7800 /
DATA GNN / 17.796 , 20.730 , 17.879 , 20.855 ,
* 0.097 , 29.878 , 37.221 , 31.913 , 37.551 ,
* 0.092 , 3.424 , 24.806 , 46.616 ,
* 45.643 , 54.147 , 48.359 , 57.420 ,
* 5.453 , 18.560 , 46.583 , 80.101 ,
* 70.337 , 85.789 /
C
DATA ANA / 11.6348, 158.3593,
* 21.0453, 50.9546, 10.1389, 25.8611,
* 2.0019, 38.0569, 137.9398, 28.3106, 61.6893,
* 4.0334, 5.8560, 18.1786, 208.9142,
* 93.6895, 406.3095, 60.4276, 239.5719 /
DATA GNA / 2.400 , 4.552 ,
* 34.367 , 40.566 , 34.676 , 40.764 ,
* 0.170 , 44.554 , 57.142 , 51.689 , 60.576 ,
* 0.152 , 4.260 , 36.635 , 83.254 ,
* 72.561 , 89.475 , 75.839 , 92.582 /
C
DATA AMG / 10.7445, 291.5057, 53.7488,
* 6.2270, 31.1291, 132.6438,
* 40.4379, 159.5618, 20.3845, 79.6154,
* 2.0007, 106.8977, 343.1010, 10.1326, 237.8581/
DATA GMG / 2.805 , 6.777 , 9.254 ,
* 4.459 , 9.789 , 13.137 ,
* 57.413 , 71.252 , 58.010 , 71.660 ,
* 0.276 , 74.440 , 94.447 , 54.472 , 95.858 /
C
DATA AAL / 4.0009, 11.7804, 142.2179, 13.6585, 96.3371,
* 10.0807, 49.5843, 285.3343, 14.6872, 59.3122,
* 6.3277, 29.5086, 134.1634,
* 46.3164, 153.6833, 22.9896, 77.0103 /
DATA GAL / 0.014 , 3.841 , 5.420 , 3.727 , 8.833 ,
* 4.749 , 11.902 , 16.719 , 11.310 , 18.268 ,
* 6.751 , 16.681 , 24.151 ,
* 83.551 , 104.787 , 84.293 , 105.171 /
C
DATA ASI / 7.9658, 4.6762, 1.3512, 123.2267, 443.7797,
* 4.0000, 7.4186, 24.1754, 60.4060,
* 14.4695, 11.9721, 26.5062, 269.0521,
* 9.1793, 4.8766, 29.1442, 52.7998,
* 13.2674, 36.0417, 180.6910,
* 6.4839, 27.6851, 135.8301 /
DATA GSI / 0.020 , 0.752 , 1.614 , 5.831 , 7.431 ,
* 0.036 , 8.795 , 11.208 , 13.835 ,
* 5.418 , 7.825 , 14.440 , 19.412 ,
* 6.572 , 11.449 , 18.424 , 25.457 ,
* 15.682 , 27.010 , 34.599 ,
* 9.042 , 24.101 , 37.445 /
C
DATA AP / 13.5211, 22.2130, 353.2583, 10.0000, 150.0000,
* 8.0241, 5.8085, 51.7542, 252.4002,
* 4.0021, 20.7985, 62.4194, 200.7786,
* 11.7414, 63.5124, 179.7420,
* 6.8835, 32.7777, 228.3366 /
DATA GP / 1.514 , 5.575 , 9.247 , 8.076 , 10.735 ,
* 0.043 , 1.212 , 8.545 , 15.525 ,
* 0.074 , 7.674 , 16.639 , 25.118 ,
* 8.992 , 24.473 , 40.704 ,
* 11.464 , 33.732 , 55.455 /
C
DATA AS / 3.9615, 5.0780, 15.0944, 362.8588,
* 51.5995, 268.4002, 12.0000, 276.0000,
* 11.4377, 5.5126, 141.0009, 254.0478,
* 33.0518, 126.9479,
* 4.0707, 4.0637, 5.7245, 144.6376, 106.4909,
* 4.0011, 19.2813, 27.5990, 35.1179,
* 94.7454, 283.2486,
* 10.5474, 28.7137, 65.7378, 24.0000 /
DATA GS / 0.053 , 1.121 , 5.812 , 9.425 ,
* 8.936 , 11.277 , 9.600 , 12.551 ,
* 1.892 , 3.646 , 13.550 , 19.376 ,
* 16.253 , 21.062 ,
* 0.043 , 0.123 , 1.590 , 13.712 , 22.050 ,
* 0.118 , 9.545 , 18.179 , 31.441 ,
* 30.664 , 56.150 ,
* 10.704 , 27.075 , 50.599 , 43.034 /
C
DATA ACL / 2.0007, 62.5048, 669.4942, 29.0259, 130.9740,
* 3.9064, 0.3993, 5.3570, 60.3424, 119.9913,
* 138.1567, 278.8418, 102.3681, 158.6314,
* 12.6089, 5.9527, 110.5635, 262.8715,
* 69.2035, 100.7960,
* 7.3458, 5.6638, 44.1256, 202.7846,
* 4.0037, 21.8663, 40.5363, 57.5919 /
DATA GCL / 0.110 , 9.919 , 12.280 , 11.017 , 13.532 ,
* 0.092 , 0.581 , 1.620 , 13.121 , 19.787 ,
* 16.365 , 21.988 , 18.065 , 23.594 ,
* 2.358 , 5.708 , 19.084 , 30.683 ,
* 24.880 , 33.229 ,
* 0.102 , 1.391 , 14.709 , 36.968 ,
* 0.185 , 11.783 , 25.653 , 44.698 /
C
DATA AAR / 43.6623, 324.3375, 20.8298, 163.1701,
* 2.0026, 137.4515, 258.5445, 62.8129, 149.1867,
* 4.0495, 14.4466, 46.8234, 124.6651,
* 151.9828, 268.0157, 101.1302, 150.8691,
* 13.3718, 8.6528, 60.4614, 285.5072,
* 6.7655, 4.7684, 12.8631, 54.5260 /
DATA GAR / 12.638 , 14.958 , 12.833 , 15.139 ,
* 0.178 , 17.522 , 23.584 , 20.464 , 25.150 ,
* 0.151 , 1.561 , 17.399 , 30.871 ,
* 24.684 , 33.978 , 27.091 , 36.481 ,
* 2.810 , 8.877 , 24.351 , 44.489 ,
* 0.144 , 1.160 , 10.210 , 27.178 /
C
DATA AK / 12.9782, 148.6673, 6.3493,
* 66.3444, 101.6553, 4.0001, 13.4465, 46.5534,
* 2.0171, 116.4767, 713.4965, 63.5907, 396.4079,
* 2.0000, 10.0000, 30.0000,
* 4.0702, 5.7791, 52.6795, 327.4539,
* 62.8604, 357.1331, 55.9337, 196.0646,
* 10.9275, 5.5398, 43.2761, 76.2560,
* 42.0000, 18.0000 /
DATA GK / 1.871 , 3.713 , 18.172 ,
* 21.185 , 27.705 , 2.059 , 23.709 , 28.542 ,
* 0.273 , 26.709 , 39.640 , 31.220 , 41.865 ,
* 29.955 , 37.557 , 42.862 ,
* 0.228 , 2.274 , 21.703 , 50.191 ,
* 32.145 , 49.262 , 34.155 , 51.718 ,
* 3.043 , 5.479 , 20.547 , 30.680 ,
* 36.275 , 47.345 /
C
DATA ACA / 18.2366, 27.5012, 149.2617, 94.5242, 705.4711,
* 11.8706, 14.0710, 106.0547,
* 57.2414, 110.7567, 29.8121, 54.1874,
* 2.0184, 97.5784, 282.3939, 209.1871, 252.8129/
DATA GCA / 2.050 , 3.349 , 5.321 , 4.873 , 7.017 ,
* 1.769 , 5.109 , 9.524 ,
* 27.271 , 41.561 , 29.172 , 42.140 ,
* 0.394 , 28.930 , 52.618 , 38.593 , 49.646 /
C
DATA ASC / 6.0014, 83.1958, 67.3666, 329.4354,
* 44.0793, 169.9969, 533.9195,
* 34.1642, 124.8475, 228.9879,
* 11.9979, 16.9280, 28.4778, 82.0418, 234.5360,
* 6.0042, 2.7101, 13.9801, 65.3039,
* 12.0000, 12.0000,
* 2.0051, 2.9621, 29.0306 /
DATA GSC / 0.021 , 2.056 , 3.551 , 5.465 ,
* 1.535 , 3.797 , 6.203 ,
* 2.389 , 4.858 , 7.141 ,
* 0.011 , 0.430 , 1.156 , 3.711 , 8.863 ,
* 0.025 , 3.499 , 10.463 , 18.606 ,
* 41.779 , 57.217 ,
* 0.539 , 24.442 , 51.079 /
C
DATA ATI / 7.0887, 8.9186, 17.5633, 206.6832, 438.5735,
* 654.1721,
* 38.0462, 69.6271, 364.2845, 832.0408,
* 98.8562, 57.9934, 442.1498,
* 19.7843, 32.0637, 37.0895, 110.6682, 288.4946,
* 521.8837,
* 10.0000, 34.0000, 120.0000,
* 16.1691, 22.3550, 24.1646, 83.5128, 222.7963,
* 6.0020, 4.6177, 25.2636, 52.1162,
* 12.0000, 8.0000 /
DATA GTI / 0.021 , 0.048 , 1.029 , 2.183 , 4.109 ,
* 5.785 ,
* 0.846 , 1.792 , 3.836 , 5.787 ,
* 2.561 , 4.869 , 6.340 ,
* 0.023 , 0.124 , 0.774 , 1.810 , 4.980 ,
* 9.585 ,
* 1.082 , 4.928 , 11.279 ,
* 0.041 , 1.375 , 4.768 , 10.985 , 19.769 ,
* 0.048 , 11.577 , 24.531 , 36.489 ,
* 54.436 , 75.373 /
C
DATA AV / 15.2627, 23.9869, 51.3053, 570.3384,1650.9417,
* 162.2829, 298.8303, 908.8852,
* 23.6736, 37.1624, 86.8011, 300.7440, 864.5880,
* 57.8961, 79.4605, 214.9007, 864.7425,
* 61.8508, 64.0845, 192.8298, 718.2349,
* 23.8116, 68.2495, 135.0613, 536.7632,
* 15.9543, 22.5542, 71.4921, 248.9544,
* 6.0006, 5.8785, 50.5077, 97.6129 /
DATA GV / 0.026 , 0.145 , 0.718 , 2.586 , 5.458 ,
* 2.171 , 4.153 , 6.097 ,
* 0.009 , 0.366 , 1.504 , 5.294 , 10.126 ,
* 1.796 , 2.353 , 6.068 , 12.269 ,
* 2.560 , 3.674 , 6.593 , 12.880 ,
* 0.045 , 1.684 , 8.162 , 21.262 ,
* 0.065 , 1.746 , 15.158 , 33.141 ,
* 0.077 , 21.229 , 44.134 , 60.203 /
C
DATA ACR / 30.1842, 79.2847, 149.5293,
* 215.3696, 119.1974, 741.4321,
* 184.9946,1352.5038, 784.4937,
* 46.6191, 160.1361, 488.0449, 657.1928,
* 47.1742, 267.0275, 441.1324, 150.6650,
* 24.3768, 122.8359, 285.5092, 794.1654,
* 24.2296, 75.0258, 172.9452, 543.6511,
* 15.9819, 17.6800, 95.2003, 225.0947 /
DATA GCR / 0.993 , 3.070 , 5.673 ,
* 3.339 , 4.801 , 7.198 ,
* 2.829 , 4.990 , 7.643 ,
* 1.645 , 3.727 , 7.181 , 12.299 ,
* 2.902 , 4.273 , 8.569 , 14.912 ,
* 0.047 , 2.566 , 9.441 , 21.198 ,
* 0.078 , 2.242 , 15.638 , 32.725 ,
* 0.103 , 2.146 , 26.153 , 49.381 /
C
DATA AMN / 53.9107, 81.3931, 546.6945 ,
* 144.1893, 407.8029, 45.6177, 298.4423,2410.9335,
* 22.6382, 93.8419, 183.9367, 907.5765,
* 137.0409, 168.6783, 329.0287, 773.2513,
* 70.1925, 72.3372, 213.9512, 539.5165,
* 24.2373, 93.5415, 456.6167, 506.5484,
* 24.7687, 66.9896, 264.1853, 484.0161 /
DATA GMN / 2.527 , 4.204 , 6.602 ,
* 4.155 , 7.321 , 2.285 , 5.631 , 8.448 ,
* 1.496 , 3.839 , 7.751 , 13.484 ,
* 3.681 , 6.054 , 9.934 , 14.936 ,
* 3.531 , 6.967 , 15.222 , 25.069 ,
* 0.071 , 2.896 , 20.725 , 37.383 ,
* 0.126 , 2.660 , 28.528 , 53.413 /
C
DATA AFE / 14.4102, 2.7050, 421.6612, 940.1484,
* 36.2187, 22.8883, 239.5997, 825.2919,
* 110.0242, 992.3040, 640.6715,
* 17.0494, 32.3783, 34.3184, 420.9626,1067.2064,
* 154.0059, 462.1117, 329.8618,
* 15.7906, 47.1186, 279.9292, 692.1005,
* 91.0206, 206.3082, 706.9927, 836.6689,
* 40.0790, 27.6965, 28.2243, 18.0001,
* 24.0899, 89.6340, 51.5756, 241.6980 /
DATA GFE / 0.066 , 0.339 , 2.897 , 6.585 ,
* 0.923 , 1.679 , 4.620 , 7.053 ,
* 4.249 , 5.875 , 7.781 ,
* 0.062 , 0.283 , 1.504 , 5.430 , 11.210 ,
* 2.792 , 7.627 , 13.623 ,
* 0.077 , 3.723 , 12.137 , 23.700 ,
* 2.688 , 7.595 , 15.444 , 25.587 ,
* 3.982 , 4.677 , 6.453 , 23.561 ,
* 0.102 , 3.354 , 22.954 , 33.796 /
C
DATA ACO / 11.9120, 20.4424, 28.3863, 132.5038, 600.7461,
* 33.3092, 237.4331, 977.2502,
* 55.5396, 318.8169, 619.6366,
* 32.6900, 83.8694, 107.4378,
* 11.2593, 38.2239, 22.9964, 261.3486, 637.1485,
* 23.0233, 41.6599, 264.6460, 181.6699,
* 16.0356, 7.8633, 70.3158, 423.3512, 742.3553,
* 0. /
DATA GCO / 0.112 , 0.341 , 0.809 , 3.808 , 6.723 ,
* 2.057 , 3.484 , 7.210 ,
* 2.405 , 5.133 , 8.097 ,
* 2.084 , 5.291 , 8.426 ,
* 0.135 , 0.517 , 1.606 , 6.772 , 12.622 ,
* 2.512 , 4.348 , 8.253 , 15.377 ,
* 0.132 , 0.863 , 3.086 , 11.789 , 23.263 ,
* 0. /
C
DATA ANI / 7.1268, 12.4486, 11.9953, 10.0546, 114.1658,
* 391.2064,
* 26.3908, 213.8081, 938.7927,
* 4.1421, 37.3781, 25.9712, 333.3397, 311.1633,
* 33.1031, 184.1854, 136.7072,
* 11.1915, 5.4174, 53.6793, 460.6781, 380.0056,
* 0. /
DATA GNI / 0.026 , 0.137 , 0.315 , 1.778 , 4.029 ,
* 6.621 ,
* 2.249 , 4.042 , 7.621 ,
* 0.191 , 1.235 , 3.358 , 8.429 , 17.096 ,
* 3.472 , 9.065 , 16.556 ,
* 0.194 , 1.305 , 5.813 , 14.172 , 26.169 ,
* 0. /
C
DATA ACU / 11.0549, 238.9423, 10.3077, 126.2990,1073.3876,
* 30.0000, 50.0000, 60.0000,
* 19.2984, 50.5974, 240.2021,1216.9016,
* 48.3048, 583.2011, 320.4931,
* 4.0155, 70.3264, 313.1213, 536.5331,
* 0. /
DATA GCU / 4.212 , 7.227 , 1.493 , 5.859 , 9.709 ,
* 7.081 , 9.362 , 10.130 ,
* 2.865 , 8.260 , 14.431 , 18.292 ,
* 9.650 , 14.640 , 24.320 ,
* 0.337 , 8.520 , 16.925 , 28.342 ,
* 0. /
C
DATA AZN / 15.9880, 484.0042, 18.5863, 123.4134,
* 3.0000, 189.0000,
* 6.1902, 38.9317, 204.8780,
* 10.2588, 89.3771, 370.3640, 30.0000, 128.0000,
* 24.6904, 106.7491, 439.5586,
* 0. /
DATA GZN / 4.546 , 8.840 , 10.247 , 16.620 ,
* 11.175 , 16.321 ,
* 6.113 , 12.964 , 16.444 ,
* 7.926 , 13.633 , 24.353 , 16.286 , 24.910 ,
* 10.291 , 20.689 , 32.077 ,
* 0. /
C
DATA ICOMP /0/
C
c save indexs, indexm, index0, is, im, ig0, igpr,
c * xl, chion, alf, gam
C
IF(ICOMP.NE.0) GO TO 5
IND=1
DO 1 K=1,NIONS
INDEXS(K)=IND
IND=IND+IS(K)
1 CONTINUE
IND=1
DO 2 K=1,NSS
INDEXM(K)=IND
IND=IND+IM(K)
2 CONTINUE
ICOMP=1
5 CONTINUE
c
IF((IAT.EQ.26.or.iat.eq.28)
* .AND.IZI.GE.4.AND.IZI.LE.9) GO TO 70
IF(IAT.GT.30.AND.IZI.LE.3) GO TO 80
IF(IAT.GT.8 .AND. IZI.GT.5) then
u=igle(iat-izi+1)
return
end if
c
c Irwin partition functions by default
c
if(iirwin.gt.0.and.t.lt.16000.) then
if(izi.le.2) then
call irwpf(iat,izi,0,t,u0)
u=u0
return
end if
else if(iat.gt.30.and.izi.le.3) then
go to 80
end if
c
IF(IZI.LE.0.OR.IZI.GT.9.OR.IAT.LE.0.OR.IAT.GT.30) GO TO 50
MODE=MODPF(IAT)
IF(MODE.LT.0) GO TO 50
IF(MODE.GT.0) GO TO 60
I0=INDEX0(IZI,IAT)
IF(I0) 40,50,10
10 QZ=IZI
C MAX=XMAXN*SQRT(QZ)
XMAX=XMAXN
THET=5040.4/T
A=31.321*QZ*QZ*THET
XMAX2=XMAX*XMAX
QAS1=XMAX*THIRD*(XMAX2+TRHA*XMAX+HALF)
IS0=INDEXS(I0)
ISS=IS0+IS(I0)-1
SU1=0.
SQA=0.
DO 30 K=IS0,ISS
XXL=XL(K)
GPR=IGPR(K)
X=CHION(K)*THET
EX=0.
IF(X.LT.30) EX=EXP(-X*2.30258029299405)
QAS=(QAS1-XXL*THIRD*(XXL*XXL+TRHA*XXL+HALF)+(XMAX-XXL)*
* (UN+A*HALF/XXL/XMAX)*A)*GPR*EX
SQA=SQA+QAS
M0=INDEXM(K)
M1=M0+IM(K)-1
AL1=0.
DO 20 M=M0,M1
XG=GAM(M)*THET
IF(XG.GT.20.) GO TO 20
XM=EXP(-XG*2.30258029299405)*ALF(M)
AL1=AL1+XM
20 CONTINUE
SU1=SU1+AL1
30 CONTINUE
U=IG0(I0)
U=U+SU1+SQA
IF(U.LT.0.) U=IG0(I0)
RETURN
40 U=FLOAT(-I0)
RETURN
50 CALL PFSPEC(IAT,IZI,T,ANE,U)
RETURN
60 u=igle(iat-izi+1)
C U=PFSTD(IZI,IAT)
RETURN
70 if(iat.eq.26) call pffe(IZI,T,ANE,U)
if(iat.eq.28) call pfni(izi,t,u,dut,dun)
RETURN
80 CALL PFHEAV(IAT,IZI,3,T,ANE,U)
RETURN
END
C
C ********************************************************************
C
C
subroutine pffe(ion,t,ane,pf)
c =============================
c
c partition functions for Fe IV to Fe IX
c after Fischel and Sparks, 1971, NASA SP-3066
c
c Output: PF partition function
c
INCLUDE 'PARAMS.FOR'
dimension tt(50),pn(10),nca(9)
dimension p4a(22),p4b(10,28),
* p5a(30),p5b(10,20),
* p6a(37),p6b(10,13),
* p7a(40),p7b(10,10),
* p8a(41),p8b(10,9),
* p9a(45),p9b(10,5)
c
parameter (xen=2.302585093,xmil=0.001,xmilen=xmil*xen)
parameter (xbtz=1.38054d-16)
c
data nca /3*0,22,30,37,40,41,45/
* nne /10/
c
data tt /
* 3.,4.,5.,6.,7.,8.,9.,10.,11.,12.,13.,14.,15.,16.,17.,18.,19.,
* 20.,21.,22.,23.,24.,25.,26.,27.,28.,29.,30.,
* 32.,34.,36.,38.,40.,42.,44.,46.,48.,
* 50.,55.,60.,65.,70.,75.,80.,85.,90.,95.,100.,125.,150./
c
data pn /-2.,-1.,0.,1.,2.,3.,4.,5.,6.,7./
c
data p4a /
* 0.778, 0.778, 0.778, 0.779, 0.783, 0.789, 0.801, 0.818,
* 0.842, 0.871, 0.906, 0.945, 0.987, 1.030, 1.074, 1.117,
* 1.160, 1.201, 1.242, 1.280, 1.317, 1.353/
c
data p4b /
* 1.406,1.393,1.389,7*1.387,
* 1.464,1.434,1.424,1.421,1.420,5*1.419,
* 1.546,1.483,1.461,1.454,1.451,1.451,4*1.450,
* 1.665,1.547,1.503,1.488,1.482,1.481,4*1.480,
* 1.826,1.636,1.553,1.524,1.514,1.510,4*1.509,
* 2.024,1.755,1.618,1.564,1.546,1.540,1.538,3*1.537,
* 2.480,2.087,1.814,1.674,1.619,1.599,1.593,1.591,1.590,1.590,
* 2.945,2.489,2.105,1.846,1.717,1.667,1.649,1.643,1.641,1.640,
* 3.379,2.897,2.452,2.089,1.859,1.751,1.710,1.696,1.691,1.689,
* 3.774,3.283,2.808,2.381,2.054,1.864,1.782,1.751,1.741,1.738,
* 4.133,3.637,3.150,2.688,2.292,2.015,1.871,1.814,1.793,1.786,
* 4.460,3.962,3.468,2.989,2.549,2.199,1.984,1.886,1.848,1.835,
* 4.757,4.258,3.762,3.274,2.809,2.406,2.121,1.972,1.908,1.886,
* 5.029,4.530,4.032,3.539,3.061,2.624,2.279,2.073,1.976,1.939,
* 5.279,4.780,4.281,3.785,3.299,2.840,2.450,2.189,2.051,1.996,
* 5.510,5.010,4.511,4.013,3.522,3.050,2.628,2.318,2.136,2.057,
* 6.014,5.514,5.014,4.515,4.018,3.530,3.065,2.666,2.381,2.228,
* 6.435,5.935,5.435,4.936,4.437,3.943,3.460,3.022,2.658,2.422,
* 6.794,6.294,5.794,5.294,4.794,4.297,3.807,3.343,2.939,2.631,
* 7.102,6.602,6.102,5.602,5.102,4.604,4.110,3.638,3.194,2.845,
* 7.370,6.870,6.370,5.870,5.370,4.871,4.375,3.892,3.439,3.052,
* 7.606,7.106,6.606,6.106,5.605,5.106,4.608,4.125,3.661,3.249,
* 7.815,7.315,6.814,6.314,5.814,5.314,4.816,4.333,3.851,3.418,
* 8.001,7.501,7.001,6.500,6.000,5.500,5.001,4.511,4.032,3.586,
* 8.168,7.668,7.168,6.668,6.168,5.667,5.168,4.680,4.197,3.741,
* 8.319,7.819,7.319,6.819,6.319,5.818,5.319,4.832,4.347,3.884,
* 8.900,8.399,7.899,7.399,6.899,6.398,5.898,5.405,4.917,4.431,
* 9.294,8.794,8.294,7.793,7.293,6.793,6.292,5.799,5.306,4.824/
c
data p5a /
* 1.235, 1.276, 1.301, 1.321, 1.339, 1.359, 1.381, 1.405,
* 1.432, 1.460, 1.489, 1.518, 1.546, 1.574, 1.601, 1.627,
* 1.652, 1.675, 1.697, 1.718, 1.738, 1.757, 1.775, 1.792,
* 1.808, 1.823, 1.838, 1.851, 1.877, 1.900/
c
data p5b /
* 1.943,1.928,1.923,7*1.921,
* 2.011,1.964,1.947,1.942,1.941,5*1.940,
* 2.144,2.025,1.980,1.965,1.960,1.958,4*1.957,
* 2.361,2.137,2.032,1.993,1.980,1.976,1.975,3*1.974,
* 2.646,2.315,2.121,2.035,2.004,1.994,1.991,1.990,1.989,1.989,
* 2.960,2.553,2.260,2.102,2.037,2.015,2.007,2.005,2.004,2.004,
* 3.274,2.823,2.450,2.205,2.086,2.040,2.025,2.020,2.018,2.018,
* 3.575,3.101,2.674,2.348,2.158,2.075,2.045,2.036,2.032,2.031,
* 4.251,3.757,3.275,2.829,2.466,2.234,2.124,2.083,2.069,2.064,
* 4.822,4.324,3.829,3.346,2.895,2.522,2.278,2.161,2.116,2.100,
* 5.308,4.808,4.310,3.816,3.334,2.888,2.525,2.297,2.187,2.145,
* 5.725,5.225,4.726,4.228,3.736,3.260,2.828,2.496,2.294,2.206,
* 6.088,5.589,5.089,4.590,4.093,3.604,3.139,2.733,2.447,2.291,
* 6.407,5.907,5.407,4.908,4.409,3.915,3.433,2.988,2.629,2.399,
* 6.689,6.189,5.689,5.189,4.690,4.193,3.704,3.236,2.832,2.535,
* 6.940,6.440,5.940,5.440,4.941,4.443,3.949,3.469,3.038,2.687,
* 7.166,6.666,6.166,5.666,5.166,4.667,4.171,3.684,3.237,2.847,
* 7.370,6.870,6.369,5.869,5.369,4.870,4.373,3.882,3.417,3.008,
* 8.150,7.649,7.149,6.649,6.149,5.649,5.149,4.651,4.167,3.700,
* 8.677,8.177,7.676,7.176,6.676,6.176,5.676,5.176,4.687,4.203/
c
data p6a /
* 1.218, 1.273, 1.309, 1.335, 1.358, 1.379, 1.400, 1.421,
* 1.442, 1.463, 1.484, 1.504, 1.523, 1.542, 1.560, 1.577,
* 1.594, 1.609, 1.624, 1.638, 1.652, 1.664, 1.677, 1.688,
* 1.699, 1.709, 1.719, 1.729, 1.746, 1.762, 1.777, 1.790,
* 1.803, 1.814, 1.825, 1.834, 1.843/
c
data p6b /
* 1.862,1.855,1.853,7*1.852,
* 1.958,1.900,1.880,1.874,1.872,5*1.871,
* 2.264,2.045,1.944,1.906,1.894,1.890,4*1.888,
* 2.776,2.386,2.119,1.984,1.930,1.912,1.906,1.904,2*1.903,
* 3.321,2.856,2.453,2.165,2.012,1.949,1.927,1.920,1.918,1.917,
* 3.821,3.333,2.868,2.465,2.178,2.025,1.963,1.941,1.934,1.932,
* 4.266,3.771,3.285,2.825,2.434,2.164,2.027,1.972,1.953,1.947,
* 4.662,4.164,3.670,3.187,2.739,2.372,2.135,2.022,1.980,1.965,
* 5.015,4.516,4.019,3.527,3.052,2.624,2.295,2.102,2.019,1.988,
* 5.332,4.832,4.344,3.838,3.351,2.889,2.493,2.217,2.075,2.017,
* 5.618,5.118,4.619,4.121,3.628,3.149,2.711,2.364,2.155,2.058,
* 6.710,6.210,5.710,5.210,4.711,4.213,3.719,3.241,2.807,2.462,
* 7.446,6.946,6.446,5.946,5.446,4.946,4.447,3.952,3.474,3.022/
c
data p7a /
* 1.074,1.130,1.167,1.194,1.215,1.234,1.250,1.266,1.280,1.293,
* 1.306,1.318,1.329,1.340,1.350,1.360,1.369,1.378,1.386,1.394,
* 1.401,1.408,1.415,1.421,1.427,1.433,1.439,1.444,1.454,1.463,
* 1.471,1.479,1.486,1.492,1.498,1.504,1.509,1.514,1.525,1.534/
c
data p7b /
* 1.555,1.546,1.544,1.543,6*1.542,
* 1.617,1.572,1.557,1.552,1.550,1.550,4*1.549,
* 1.798,1.648,1.587,1.566,1.559,1.557,4*1.556,
* 2.134,1.832,1.666,1.597,1.573,1.565,1.563,1.562,2*1.561,
* 2.550,2.138,1.836,1.671,1.602,1.578,1.570,1.568,2*1.567,
* 2.968,2.504,2.102,1.816,1.665,1.603,1.582,1.575,2*1.572,
* 3.359,2.875,2.419,2.037,1.779,1.651,1.601,1.584,1.579,1.577,
* 3.718,3.224,2.745,2.305,1.953,1.736,1.636,1.599,1.586,1.582,
* 5.097,4.598,4.098,3.601,3.110,2.638,2.217,1.899,1.719,1.643,
* 6.026,5.526,5.026,4.527,4.028,3.531,3.042,2.576,2.170,1.885/
c
data p8a /
* 0.809,0.849,0.875,0.894,0.908,0.918,0.927,0.934,0.939,0.944,
* 0.948,0.952,0.955,0.958,0.960,0.962,0.964,0.966,0.967,0.969,
* 0.970,0.971,0.973,0.974,0.975,0.975,0.976,0.977,0.978,0.980,
* 0.981,0.982,0.983,0.984,0.984,0.985,0.986,0.986,0.987,0.988,
* 0.989/
c
data p8b /
* 0.992,0.991,8*0.990,
* 1.000,0.994,0.992,7*0.991,
* 1.032,1.005,0.996,0.993,0.992,5*0.991,
* 1.129,1.040,1.008,0.997,0.993,5*0.992,
* 1.335,1.132,1.042,1.009,0.998,0.994,0.993,0.993,2*0.992,
* 1.640,1.312,1.121,1.038,1.007,0.998,0.994,3*0.993,
* 1.987,1.573,1.269,1.101,1.030,1.005,0.997,2*0.994,0.993,
* 3.514,3.017,2.526,2.053,1.628,1.305,1.119,1.039,1.010,1.000,
* 4.569,4.069,3.569,3.072,2.580,2.103,1.671,1.336,1.136,1.048/
c
data p9a /39*0.000,0.001,0.002,0.005,0.008,0.014,0.021/
c
data p9b /
* 2*0.032,8*0.031,
* 0.048,0.045,8*0.044,
* 0.076,0.065,0.061,0.060,6*0.059,
* 1.128,0.722,0.429,0.271,0.207,0.184,0.177,0.174,2*0.173,
* 2.696,2.200,1.712,1.249,0.848,0.564,0.415,0.354,0.333,0.327/
c
na=nca(ion)
nb=50-na
pne=log10(ane*xbtz*t)
t0=xmil*t
j=1
if(pne.lt.pn(1)) go to 15
if(pne.gt.pn(nne)) then
j1=nne
j2=nne
goto 16
endif
do 10 j=1,nne-1
if(pne.ge.pn(j).and.pne.lt.pn(j+1)) go to 15
10 continue
15 j1=j
j2=j1+1
if(pne.lt.pn(1)) j2=1
16 do 20 i=1,49
if(t0.ge.tt(i).and.t0.lt.tt(i+1)) go to 25
20 continue
25 i1=i
i2=i+1
if(t0.gt.tt(50)) then
i1=50
i2=50
endif
if(i2.le.na) then
if(ion.eq.4) then
px1=p4a(i1)
px2=p4a(i1)
py1=p4a(i2)
py2=p4a(i2)
else if(ion.eq.5) then
px1=p5a(i1)
px2=p5a(i1)
py1=p5a(i2)
py2=p5a(i2)
else if(ion.eq.6) then
px1=p6a(i1)
px2=p6a(i1)
py1=p6a(i2)
py2=p6a(i2)
else if(ion.eq.7) then
px1=p7a(i1)
px2=p7a(i1)
py1=p7a(i2)
py2=p7a(i2)
else if(ion.eq.8) then
px1=p8a(i1)
px2=p8a(i1)
py1=p8a(i2)
py2=p8a(i2)
else if(ion.eq.9) then
px1=p9a(i1)
px2=p9a(i1)
py1=p9a(i2)
py2=p9a(i2)
endif
else if(i1.eq.na) then
if(ion.eq.4) then
px1=p4a(i1)
px2=p4a(i1)
py1=p4b(j1,i2-na)
py2=p4b(j2,i2-na)
else if(ion.eq.5) then
px1=p5a(i1)
px2=p5a(i1)
py1=p5b(j1,i2-na)
py2=p5b(j2,i2-na)
else if(ion.eq.6) then
px1=p6a(i1)
px2=p6a(i1)
py1=p6b(j1,i2-na)
py2=p6b(j2,i2-na)
else if(ion.eq.7) then
px1=p7a(i1)
px2=p7a(i1)
py1=p7b(j1,i2-na)
py2=p7b(j2,i2-na)
else if(ion.eq.8) then
px1=p8a(i1)
px2=p8a(i1)
py1=p8b(j1,i2-na)
py2=p8b(j2,i2-na)
else if(ion.eq.9) then
px1=p9a(i1)
px2=p9a(i1)
py1=p9b(j1,i2-na)
py2=p9b(j2,i2-na)
endif
else
if(ion.eq.4) then
px1=p4b(j1,i1-na)
px2=p4b(j2,i1-na)
py1=p4b(j1,i2-na)
py2=p4b(j2,i2-na)
else if(ion.eq.5) then
px1=p5b(j1,i1-na)
px2=p5b(j2,i1-na)
py1=p5b(j1,i2-na)
py2=p5b(j2,i2-na)
else if(ion.eq.6) then
px1=p6b(j1,i1-na)
px2=p6b(j2,i1-na)
py1=p6b(j1,i2-na)
py2=p6b(j2,i2-na)
else if(ion.eq.7) then
px1=p7b(j1,i1-na)
px2=p7b(j2,i1-na)
py1=p7b(j1,i2-na)
py2=p7b(j2,i2-na)
else if(ion.eq.8) then
px1=p8b(j1,i1-na)
px2=p8b(j2,i1-na)
py1=p8b(j1,i2-na)
py2=p8b(j2,i2-na)
else if(ion.eq.9) then
px1=p9b(j1,i1-na)
px2=p9b(j2,i1-na)
py1=p9b(j1,i2-na)
py2=p9b(j2,i2-na)
endif
end if
dlgunx=px2-px1
px=px1+(pne-pn(j1))*dlgunx
dlguny=py2-py1
py=py1+(pne-pn(j1))*dlguny
delt=tt(i2)-tt(i1)
if(delt.ne.0.) then
dlgut=(py-px)/delt
pf=px+(t0-tt(i1))*dlgut
else
pf=px
endif
pf=exp(xen*pf)
return
end
C
C ********************************************************************
C ********************************************************************
C
SUBROUTINE MATINV(A,N,NR)
C =========================
C
C Matrix inversion
C by LU decomposition
C
C A - matrix of actual size (N x N) and maximum size (NR x NR)
C to be inverted;
C Inversion is accomplished in place and the original matrix is
C replaced by its inverse
C
INCLUDE 'PARAMS.FOR'
DIMENSION A(NR,NR)
IF(N.EQ.1) GO TO 250
DO 50 I=2,N
IM1=I-1
DO 20 J=1,IM1
JM1=J-1
DIV=A(J,J)
SUM=0.
IF(JM1.LT.1) GO TO 20
DO 10 K=1,JM1
10 SUM=SUM+A(I,K)*A(K,J)
20 A(I,J)=(A(I,J)-SUM)/DIV
DO 40 J=I,N
SUM=0.
DO 30 K=1,IM1
30 SUM=SUM+A(I,K)*A(K,J)
40 A(I,J)=A(I,J)-SUM
50 CONTINUE
DO 80 II=2,N
I=N+2-II
IM1=I-1
IF(IM1.LT.1) GO TO 80
DO 70 JJ=1,IM1
J=I-JJ
JP1=J+1
SUM=0.
IF(JP1.GT.IM1) GO TO 70
DO 60 K=JP1,IM1
60 SUM=SUM+A(I,K)*A(K,J)
70 A(I,J)=-A(I,J)-SUM
80 CONTINUE
DO 110 II=1,N
I=N+1-II
DIV=A(I,I)
IP1=I+1
IF(IP1.GT.N) GO TO 110
DO 100 JJ=IP1,N
J=N+IP1-JJ
SUM=0.
DO 90 K=IP1,J
90 SUM=SUM+A(I,K)*A(K,J)
A(I,J)=-SUM/DIV
100 CONTINUE
110 A(I,I)=1.0D0/A(I,I)
C
DO 240 I=1,N
DO 230 J=1,N
K0=I
IF(J.GE.I) GO TO 220
SUM=0.
200 DO 210 K=K0,N
210 SUM=SUM+A(I,K)*A(K,J)
GO TO 230
220 K0=J
SUM=A(I,K0)
IF(K0.EQ.N) GO TO 230
K0=K0+1
GO TO 200
230 A(I,J)=SUM
240 CONTINUE
RETURN
250 A(1,1)=1.0D0/A(1,1)
RETURN
END
C
C
C ****************************************************************
C
C
SUBROUTINE LINEQS(A,B,X,N,NR)
C =============================
C
C Solution of the linear system A*X=B
C by Gaussian elimination with partial pivoting
C
C Input: A - matrix of the linear system, with actual size (N x N),
C and maximum size (NR x NR)
C B - the rhs vector
C Output: X - solution vector
C Note that matrix A and vector B are destroyed here !
C
INCLUDE 'PARAMS.FOR'
DIMENSION A(NR,NR),B(NR),X(NR),D(MLEVEL)
DIMENSION IP(MLEVEL)
DO 70 I=1,N
DO 10 J=1,N
10 D(J)=A(J,I)
IM1=I-1
IF(IM1.LT.1) GO TO 40
DO 30 J=1,IM1
IT=IP(J)
A(J,I)=D(IT)
D(IT)=D(J)
JP1=J+1
DO 20 K=JP1,N
20 D(K)=D(K)-A(K,J)*A(J,I)
30 CONTINUE
40 AM=ABS(D(I))
IP(I)=I
DO 50 K=I,N
IF(AM.GE.ABS(D(K))) GO TO 50
IP(I)=K
AM=ABS(D(K))
50 CONTINUE
IT=IP(I)
A(I,I)=D(IT)
D(IT)=D(I)
IP1=I+1
IF(IP1.GT.N) GO TO 80
DO 60 K=IP1,N
60 A(K,I)=D(K)/A(I,I)
70 CONTINUE
80 DO 100 I=1,N
IT=IP(I)
X(I)=B(IT)
B(IT)=B(I)
IP1=I+1
IF(IP1.GT.N) GO TO 110
DO 90 J=IP1,N
90 B(J)=B(J)-A(J,I)*X(I)
100 CONTINUE
110 DO 140 I=1,N
K=N-I+1
SUM=0.
KP1=K+1
IF(KP1.GT.N) GO TO 130
DO 120 J=KP1,N
120 SUM=SUM+A(K,J)*X(J)
130 X(K)=(X(K)-SUM)/A(K,K)
140 CONTINUE
RETURN
END
C
C
C ****************************************************************
C
C
FUNCTION EXPINT(X)
C ==================
C
C First exponential integral function E1(X)
C
INCLUDE 'PARAMS.FOR'
C
IF(X.LE.1.0) THEN
EXPINT=-LOG(X)-0.57721566+X*(0.99999193+X*(-0.24991055
* +X*(0.05519968+X*(-0.00976004+X*0.00107857))))
ELSE
EXPINT=EXP(-X)*((0.2677734343+X*(8.6347608925+X*
* (18.059016973+X*(8.5733287401+X))))/
* (3.9584969228+X*(21.0996530827+X*
* (25.6329561486+X*(9.5733223454+X)))))/X
END IF
RETURN
END
C
C
C ****************************************************************
C
C
SUBROUTINE INTERP(X,Y,XX,YY,NX,NXX,NPOL,ILOGX,ILOGY)
C ====================================================
C
C General interpolation procedure of the (NPOL-1)-th order
C
C for ILOGX = 1 logarithmic interpolation in X
C for ILOGY = 1 logarithmic interpolation in Y
C
C Input:
C X - array of original x-coordinates
C Y - array of corresponding functional values Y=y(X)
C NX - number of elements in arrays X or Y
C XX - array of new x-coordinates (to which is to be
C interpolated
C NXX - number of elements in array XX
C Output:
C YY - interpolated functional values YY=y(XX)
C
INCLUDE 'PARAMS.FOR'
DIMENSION X(1),Y(1),XX(1),YY(1)
EXP10(X0)=EXP(X0*2.30258509299405D0)
IF(NPOL.LE.0.OR.NX.LE.0) GO TO 200
IF(ILOGX.NE.0) THEN
DO I=1,NX
X(I)=LOG10(X(I))
END DO
DO I=1,NXX
XX(I)=LOG10(XX(I))
END DO
END IF
IF(ILOGY.NE.0) THEN
DO I=1,NX
Y(I)=LOG10(Y(I))
END DO
END IF
NM=(NPOL+1)/2
NM1=NM+1
NUP=NX+NM1-NPOL
DO ID=1,NXX
XXX=XX(ID)
DO I=NM1,NUP
IF(XXX.LE.X(I)) GO TO 70
END DO
I=NUP
70 J=I-NM
JJ=J+NPOL-1
YYY=0.
DO K=J,JJ
T=1.
DO 80 M=J,JJ
IF(K.EQ.M) GO TO 80
T=T*(XXX-X(M))/(X(K)-X(M))
80 CONTINUE
YYY=Y(K)*T+YYY
END DO
YY(ID)=YYY
END DO
IF(ILOGX.NE.0) THEN
DO I=1,NX
X(I)=EXP10(X(I))
END DO
DO I=1,NXX
XX(I)=EXP10(XX(I))
END DO
END IF
IF(ILOGY.NE.0) THEN
DO I=1,NX
Y(I)=EXP10(Y(I))
END DO
DO I=1,NXX
YY(I)=EXP10(YY(I))
END DO
END IF
RETURN
200 N=NX
IF(NXX.GE.NX) N=NXX
DO I=1,N
XX(I)=X(I)
YY(I)=Y(I)
END DO
RETURN
END
C
C ********************************************************************
C
subroutine intrp(wltab,absop,wlgrid,abgrd,nfr,nfgrid)
c =====================================================
c
c a more efficient interpolation routine - using bisection
c
INCLUDE 'PARAMS.FOR'
dimension wltab(1),absop(1),wlgrid(1),abgrd(1)
dimension yint(mfgrid),jint(mfgrid)
c
c set up interpolation coefficients for an interpolation
c by bisection
c
fr1=wltab(1)
fr2=wltab(nfr)
do ij=1,nfgrid
xint=wlgrid(ij)
jl=0
ju=nfr+1
10 continue
if(ju-jl.gt.1) then
jm=(ju+jl)/2
if((fr2.gt.fr1).eqv.(xint.gt.wltab(jm))) then
jl=jm
else
ju=jm
end if
go to 10
end if
j=jl
if(j.eq.nfr) j=j-1
if(j.eq.0) j=j+1
jint(ij)=j
c yint(ij)=un/log10(wltab(j+1)/wltab(j))
yint(ij)=1./(wltab(j+1)-wltab(j))
end do
c
do ij=1,nfgrid
j=jint(ij)
rc=(absop(j+1)-absop(j))*yint(ij)
c abgrd(ij)=rc*log10(wlgrid(ij)/wltab(j))+absop(j)
abgrd(ij)=rc*(wlgrid(ij)-wltab(j))+absop(j)
end do
return
end
C
C ********************************************************************
C
SUBROUTINE PFSPEC(IAT,IZI,T,ANE,U)
C ==================================
C Non-standard evaluation of the partition function
C user supplied procedure
C
C Input:
C IAT - atomic number
C IZI - ionic charge (=1 for neutrals, =1 for once ionized, etc)
C T - temperature
C ANE - electron density
C XMAX - principal quantum number of the last bound level
C
C Output:
C U - partition function
C
*
* Modified from the ATMOS related programme 5-April-1990
* as an addition to TLUSTY to allow high ionisation states
* of C, N and O
*
* M.A.Barstow - University of Leicester, Dept of Physics & Astronomy
*
INCLUDE 'PARAMS.FOR'
real nvii
PARAMETER (MH=100,MHEI=100,MHEII=100,MCI=135,
+ MCII=157,MCIII=156,MCIV=55,MCV=15,MCVI=100,MNI=228,MNII=122,
+ MNIII=133,MNIV=73,MNV=51,MNVI=8,MNVII=100,MOI=174,MOII=191,
+ MOIII=168,MOIV=166,MOV=115,MOVI=52,MOVII=16,MOVIII=100)
DIMENSION GHYD(MH),SHYD(MH),ENHYD(MH),
+ GHEL(MH),ENHEL(MH),SHEL(MH),
+ GCI(MCI),ENCI(MCI),SCI(MCI),
+ GCII(MCII),ENCII(MCII),SCII(MCII),
+ GCIII(MCIII),ENCIII(MCIII),SCIII(MCIII),
+ GCIV(MCIV),ENCIV(MCIV),SCIV(MCIV),
+ GCV(MCV),ENCV(MCV),SCV(MCV),
+ GNI(MNI),ENNI(MNI),SNI(MNI),
+ GNII(MNII),ENNII(MNII),SNII(MNII),
+ GNIII(MNIII),ENNIII(MNIII),SNIII(MNIII),
+ GNIV(MNIV),ENNIV(MNIV),SNIV(MNIV),
+ GNV(MNV),ENNV(MNV),SNV(MNV),
+ GNVI(MNVI),ENNVI(MNVI),SNVI(MNVI),
+ GOI(MOI),ENOI(MOI),SOI(MOI),
+ GOII(MOII),ENOII(MOII),SOII(MOII),
+ GOIII(MOIII),ENOIII(MOIII),SOIII(MOIII),
+ GOIV(MOIV),ENOIV(MOIV),SOIV(MOIV),
+ GOV(MOV),ENOV(MOV),SOV(MOV),
+ GOVI(MOVI),ENOVI(MOVI),SOVI(MOVI),
+ GOVII(MOVII),ENOVII(MOVII),SOVII(MOVII)
INTEGER NHYD(MH),NHEL(MHEI),NCI(MCI),NCII(MCII),
+ NCIII(MCIII),NCIV(MCIV),NCV(MCV),NNI(MNI),NNII(MNII),
+ NNIII(MNIII),NNIV(MNIV),NNV(MNV),NNVI(MNVI),NOI(MOI),
+ NOII(MOII),NOIII(MOIII),NOIV(MOIV),NOV(MOV),NOVI(MOVI),
+ NOVII(MOVII)
PARAMETER (HI=13.5878,HEI=24.587,HEII=54.416,CVI=489.84,
+ NVII=666.83,OVIII=871.12)
PARAMETER (ZH=1.0,ZHE=2.0,ZC=6.0,ZN=7.0,ZO=8.0)
C N***=QUANTUM NO. OF LEVEL
C DATA FOR IONS G***=STATISTICAL WEIGHT OF LEVEL
C EN***=ENERGY OF LEVEL
C S*=SCREENING NO. OF LEVEL
DATA NHYD/ 1, 2, 3, 4, 5, 6,
+ 7, 8, 9,10,11,12,
+ 13,14,15,16,17,18,
+ 19,20,21,22,23,24,
+ 25,26,27,28,29,30,
+ 31,32,33,34,35,36,
+ 37,38,39,40,41,42,
+ 43,44,45,46,47,48,
+ 49,50,51,52,53,54,
+ 55,56,57,58,59,60,
+ 61,62,63,64,65,66,
+ 67,68,69,70,71,72,
+ 73,74,75,76,77,78,
+ 79,80,81,82,83,84,
+ 85,86,87,88,89,90,
+ 91,92,93,94,95,96,
+ 97,98,99, 100 /
DATA GHYD/ 2.000000, 8.000000, 18.00000,
+ 32.00000, 50.00000, 72.00000,
+ 98.00000, 128.0000, 162.0000,
+ 200.0000, 242.0000, 288.0000,
+ 338.0000, 392.0000, 450.0000,
+ 512.0000, 578.0000, 648.0000,
+ 722.0000, 800.0000, 882.0000,
+ 968.0000, 1058.000, 1152.000,
+ 1250.000, 1352.000, 1458.000,
+ 1568.000, 1682.000, 1800.000,
+ 1922.000, 2048.000, 2178.000,
+ 2312.000, 2450.000, 2592.000,
+ 2738.000, 2888.000, 3042.000,
+ 3200.000, 3362.000, 3528.000,
+ 3698.000, 3872.000, 4050.000,
+ 4232.000, 4418.000, 4608.000,
+ 4802.000, 5000.000, 5202.000,
+ 5408.000, 5618.000, 5832.000,
+ 6050.000, 6272.000, 6498.000,
+ 6728.000, 6962.000, 7200.000,
+ 7442.000, 7688.000, 7938.000,
+ 8192.000, 8450.000, 8712.000,
+ 8978.000, 9248.000, 9522.000,
+ 9800.000, 10082.00, 10368.00,
+ 10658.00, 10952.00, 11250.00,
+ 11552.00, 11858.00, 12168.00,
+ 12482.00, 12800.00, 13122.00,
+ 13448.00, 13778.00, 14112.00,
+ 14450.00, 14792.00, 15138.00,
+ 15488.00, 15842.00, 16200.00,
+ 16562.00, 16928.00, 17298.00,
+ 17672.00, 18050.00, 18432.00,
+ 18818.00, 19208.00, 19602.00,
+ 20000.00/
DATA ENHYD /0.0000000E+00,10.19085000000000,12.07804444444444,
+ 12.73856250000000,13.04428800000000,13.21036111111111,
+ 13.31049795918367,13.37549062500000,13.42004938271605,
+ 13.45192200000000,13.47550413223140,13.49344027777778,
+ 13.50739881656805,13.51847448979592,13.52740977777778,
+ 13.53472265625000,13.54078339100346,13.54586234567901,
+ 13.55016066481994,13.55383050000000,13.55698866213152,
+ 13.55972603305785,13.56211417769376,13.56421006944444,
+ 13.56605952000000,13.56769970414201,13.56916104252401,
+ 13.57046862244898,13.57164328180737,13.57270244444444,
+ 13.57366077003122,13.57453066406250,13.57532268135905,
+ 13.57604584775087,13.57670791836735,13.57731558641975,
+ 13.57787465303141,13.57839016620499,13.57886653517423,
+ 13.57930762500000,13.57971683521713,13.58009716553288,
+ 13.58045127095727,13.58078150826446,13.58108997530864,
+ 13.58137854442344,13.58164889090086,13.58190251736111,
+ 13.58214077467722,13.58236488000000,13.58257593233372,
+ 13.58277492603550,13.58296276254895,13.58314026063100,
+ 13.58330816528926,13.58346715561225,13.58361785164666,
+ 13.58376082045184,13.58389658144211,13.58402561111111,
+ 13.58414834721849,13.58426519250780,13.58437651801461,
+ 13.58448266601563,13.58458395266272,13.58468067033976,
+ 13.58477308977501,13.58486146193772,13.58494601974375,
+ 13.58502697959184,13.58510454274945,13.58517889660494,
+ 13.58525021580034,13.58531866325785,13.58538439111111,
+ 13.58544754155125,13.58550824759656,13.58556663379356,
+ 13.58562281685627,13.58567690625000,13.58572900472489,
+ 13.58577920880428,13.58582760923211,13.58587429138322,
+ 13.58591933564014,13.58596281773932,13.58600480908971,
+ 13.58604537706612,13.58608458527964,13.58612249382716,
+ 13.58615915952180,13.58619463610586,13.58622897444791,
+ 13.58626222272522,13.58629442659280,13.58632562934028,
+ 13.58635587203741,13.58638519366930,13.58641363126212,
+ 13.58644122000000/
DATA SHYD/100*0.0D0/
DATA NHEL/1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,
+ 5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,
+ 23,24,25,26,27,
+ 28,29,30,31,32,33,
+ 34,35,36,37,38,39,
+ 40,41,42,43,44,45,
+ 46,47,48,49,50,51,
+ 52,53,54,55,56,57,
+ 58,59,60,61,62,63,
+ 64,65,66,67,68,69,
+ 70,71,72,73,74,75,
+ 76,77,78,79,80,81/
DATA GHEL/1.0D0,3.0D0,1.0D0,5.0D0,3.0D0,1.0D0,3.0D0,
+ 3.0D0,1.0D0,5.0D0,3.0D0,
+ 1.0D0,15.0D0,5.0D0,3.0D0,3.0D0,1.0D0,9.0D0,
+ 15.0D0,5.0D0,21.0D0,7.0D0,
+ 3.0D0,100.0D0,144.0D0,196.0D0,256.0D0,324.0D0,
+ 400.0D0,484.0D0,
+ 576.0D0,676.0D0,784.0D0,900.0D0,1024.0D0,1156.0D0,
+ 1296.0D0,1444.0D0,1600.0D0,1764.0D0,1936.0D0,
+ 2116.0D0,2304.0D0,2500.0D0,2704.0D0,3136.0D0,
+ 3136.000000000000,3364.000000000000,3600.000000000000,
+ 3844.000000000000,4096.000000000000,4356.000000000000,
+ 4624.000000000000,4900.000000000000,5184.000000000000,
+ 5476.000000000000,5776.000000000000,6084.000000000000,
+ 6400.000000000000,6724.000000000000,7056.000000000000,
+ 7396.000000000000,7744.000000000000,8100.000000000000,
+ 8464.000000000000,8836.000000000000,9216.000000000000,
+ 9604.000000000000,10000.00000000000,10404.00000000000,
+ 10816.00000000000,11236.00000000000,11664.00000000000,
+ 12100.00000000000,12544.00000000000,12996.00000000000,
+ 13456.00000000000,13924.00000000000,14400.00000000000,
+ 14884.00000000000,15376.00000000000,15876.00000000000,
+ 16384.00000000000,16900.00000000000,17424.00000000000,
+ 17956.00000000000,18496.00000000000,19044.00000000000,
+ 19600.00000000000,20164.00000000000,20736.00000000000,
+ 21316.00000000000,21904.00000000000,22500.00000000000,
+ 23104.00000000000,23716.00000000000,24336.00000000000,
+ 24964.00000000000,25600.00000000000,26244.00000000000/
DATA ENHEL/0.0D0,19.819D0,20.615D0,20.964D0,
+ 20.964D0,20.964D0,21.218D0,
+ 22.718D0,22.920D0,23.007D0,23.007D0,
+ 23.007D0,23.073D0,23.074D0,
+ 23.087D0,23.593D0,23.673D0,23.707D0,
+ 23.736D0,23.736D0,23.737D0,
+ 23.737D0,23.742D0,24.028D0,24.201D0,
+ 24.304D0,24.371D0,24.417D0,
+ 24.449D0,24.473D0,24.491D0,24.506D0,
+ 24.517D0,24.526D0,24.534D0,
+ 24.540D0,24.545D0,24.549D0,24.553D0,
+ 24.556D0,24.559D0,24.562D0,
+ 24.564D0,24.566D0,24.568D0,24.570D0,
+ 24.57131951530612,24.57238228299643,24.57334055555556,
+ 24.57420759625390,24.57499462890625,24.57571120293848,
+ 24.57636548442907,24.57696448979592,24.57751427469136,
+ 24.57802008765522,24.57848649584488,24.57891748849441,
+ 24.57931656250000,24.57968679357525,24.58003089569161,
+ 24.58035127095727,24.58065005165289,24.58092913580247,
+ 24.58119021739130,24.58143481213219,24.58166427951389,
+ 24.58187984173261,24.58208260000000,24.58227354863514,
+ 24.58245358727811,24.58262353150587,24.58278412208505,
+ 24.58293603305785,24.58307987882653,24.58321622037550,
+ 24.58334557074911,24.58346839988509,24.58358513888889,
+ 24.58369618382155,24.58380189906348,24.58390262030738,
+ 24.58399865722656,24.58409029585799,24.58417780073462,
+ 24.58426141679661,24.58434137110727,24.58441787439614,
+ 24.58449112244898,24.58456129736163,24.58462856867284,
+ 24.58469309438919,24.58475502191381,24.58481448888889,
+ 24.58487162396122,24.58492654747850,24.58497937212360,
+ 24.58503020349303,24.58507914062500,24.58512627648224/
DATA SHEL/0.375D0,0.622D0,0.622D0,0.842D0,
+ 0.842D0,0.842D0,0.842D0,0.747D0,
+ 0.747D0,0.912D0,0.912D0,0.912D0,
+ 0.993D0,0.993D0,0.912D0,0.810D0,
+ 0.810D0,0.937D0,0.995D0,0.995D0,
+ 1.000D0,1.000D0,0.937D0,0.949D0,
+ 0.958D0,75*1.000D0/
DATA NCI/2,2,2,2,2,2,3,3,3,3,2,2,2,3,3,3,3,3,
+ 3,3,3,3,3,2,3,4,4,4,3,3,3,3,3,3,4,3,
+ 3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
+ 4,4,4,5,4,4,4,4,4,5,5,5,5,5,5,5,5,5,
+ 5,5,5,5,6,5,5,5,5,5,6,6,6,6,6,6,6,7,
+ 6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,8,8,
+ 8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,10,10,
+ 10,11,11,11,2,3,3,3,2,2/
DATA GCI/1.0D0,3.0D0,5.0D0,5.0D0,1.0D0,
+ 5.0D0,1.0D0,3.0D0,5.0D0,3.0D0,
+ 7.0D0,5.0D0,3.0D0,3.0D0,3.0D0,
+ 5.0D0,7.0D0,3.0D0,1.0D0,3.0D0,
+ 5.0D0,5.0D0,1.0D0,9.0D0,5.0D0,
+ 1.0D0,3.0D0,5.0D0,5.0D0,7.0D0,
+ 9.0D0,3.0D0,5.0D0,7.0D0,3.0D0,
+ 3.0D0,3.0D0,5.0D0,3.0D0,1.0D0,
+ 3.0D0,5.0D0,7.0D0,3.0D0,3.0D0,
+ 1.0D0,3.0D0,5.0D0,5.0D0,1.0D0,
+ 5.0D0,5.0D0,7.0D0,9.0D0,3.0D0,
+ 5.0D0,7.0D0,3.0D0,7.0D0,3.0D0,
+ 5.0D0,3.0D0,1.0D0,3.0D0,3.0D0,
+ 5.0D0,7.0D0,5.0D0,1.0D0,5.0D0,
+ 5.0D0,7.0D0,9.0D0,3.0D0,5.0D0,
+ 7.0D0,3.0D0,7.0D0,3.0D0,5.0D0,
+ 3.0D0,1.0D0,5.0D0,5.0D0,7.0D0,
+ 9.0D0,3.0D0,5.0D0,7.0D0,3.0D0,
+ 7.0D0,5.0D0,3.0D0,1.0D0,3.0D0,
+ 5.0D0,7.0D0,9.0D0,3.0D0,5.0D0,
+ 7.0D0,7.0D0,3.0D0,5.0D0,3.0D0,
+ 1.0D0,9.0D0,7.0D0,5.0D0,3.0D0,
+ 5.0D0,7.0D0,7.0D0,5.0D0,3.0D0,
+ 1.0D0,9.0D0,7.0D0,5.0D0,3.0D0,
+ 5.0D0,7.0D0,7.0D0,3.0D0,5.0D0,
+ 7.0D0,3.0D0,5.0D0,7.0D0,5.0D0,
+ 3.0D0,5.0D0,7.0D0,3.0D0,3.0D0/
DATA ENCI/0.0D0,2.0333605D-03,5.3933649D-03,1.263870,2.684086,
+ 4.182672,7.480511,7.482891,7.487915,7.684888,
+ 7.946046,7.946620,7.946474,8.537387,8.640516,
+ 8.643146,8.647287,8.771255,8.846707,8.848247,
+ 8.850785,9.002712,9.171972,9.330682,9.631248,
+ 9.683908,9.685375,9.689256,9.695577,9.697620,
+ 9.701885,9.708156,9.708925,9.710041,9.712769,
+ 9.714380,9.761111,9.833419,9.834406,9.834934,
+ 9.940317,9.942698,9.946449,9.988707,10.05592,
+ 10.08144,10.08328,10.08553,10.13833,10.19809,
+ 10.35278,10.38514,10.38514,10.38514,10.39370,
+ 10.39456,10.39580,10.40021,10.40845,10.41874,
+ 10.42750,10.42990,10.42990,10.52043,10.52041,
+ 10.52041,10.53705,10.58840,10.61635,10.67973,
+ 10.70230,10.70328,10.70328,10.70878,10.70878,
+ 10.71184,10.71407,10.71854,10.72362,10.72523,
+ 10.72684,10.72684,10.86509,10.87426,10.87513,
+ 10.87513,10.87997,10.87997,10.88257,10.88533,
+ 10.88679,10.88964,10.89075,10.89075,10.88980,
+ 10.97789,10.97854,10.97854,10.98597,10.98597,
+ 10.98597,10.98808,10.98913,10.98994,10.98994,
+ 10.98994,11.04474,11.04474,11.04487,11.05280,
+ 11.05280,11.05280,11.05392,11.05429,11.05429,
+ 11.05429,11.09049,11.09049,11.09049,11.09843,
+ 11.09843,11.09843,11.09880,11.13129,11.13129,
+ 11.13129,11.15477,11.15477,11.15477,12.13544,
+ 12.83767,12.84024,12.84331,13.11772,14.86312/
DATA NCII/2,2,2,2,2,2,2,2,2,2,3,3,3,2,3,3,2,2,4,4,4,3,3,3,
+ 4,4,2,2,4,4,5,5,5,3,3,5,5,5,5,6,3,3,3,3,3,3,6,6,
+ 6,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
+ 3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
+ 4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
+ 4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,
+ 5,5,5,5,5,5,6,6,6,6,6,6,6/
DATA GCII/2.0D0,4.0D0,2.0D0,4.0D0,6.0D0,
+ 6.0D0,4.0D0,2.0D0,2.0D0,4.0D0,
+ 2.0D0,2.0D0,4.0D0,4.0D0,4.0D0,
+ 6.0D0,6.0D0,4.0D0,2.0D0,2.0D0,
+ 4.0D0,2.0D0,4.0D0,6.0D0,4.0D0,
+ 6.0D0,2.0D0,4.0D0,6.0D0,8.0D0,
+ 2.0D0,2.0D0,4.0D0,2.0D0,4.0D0,
+ 4.0D0,6.0D0,6.0D0,8.0D0,2.0D0,
+ 2.0D0,4.0D0,6.0D0,8.0D0,2.0D0,
+ 4.0D0,4.0D0,6.0D0,6.0D0,8.0D0,
+ 4.0D0,2.0D0,4.0D0,6.0D0,4.0D0,
+ 6.0D0,2.0D0,4.0D0,6.0D0,8.0D0,
+ 10.0D0,2.0D0,4.0D0,6.0D0,8.0D0,
+ 4.0D0,6.0D0,6.0D0,4.0D0,2.0D0,
+ 6.0D0,8.0D0,4.0D0,2.0D0,2.0D0,
+ 4.0D0,6.0D0,2.0D0,4.0D0,2.0D0,
+ 4.0D0,6.0D0,8.0D0,4.0D0,2.0D0,
+ 4.0D0,6.0D0,4.0D0,6.0D0,4.0D0,
+ 6.0D0,8.0D0,10.0D0,2.0D0,4.0D0,
+ 6.0D0,8.0D0,4.0D0,6.0D0,6.0D0,
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+ 2.0D0,4.0D0,6.0D0,8.0D0,6.0D0,
+ 4.0D0,2.0D0/
DATA ENCII/0.0D0,7.9350658D-03,5.331397,5.334075,5.337658,
+ 9.290338,9.290624,11.96386,13.71590,13.72101,
+ 14.44900,16.33194,16.33332,17.60895,18.04607,
+ 18.04625,18.65519,18.65582,19.49478,20.14995,
+ 20.15068,20.70119,20.70413,20.70971,20.84491,
+ 20.84496,20.92025,20.92256,20.95094,20.95094,
+ 21.49265,21.73314,21.73405,22.09347,22.13075,
+ 22.13075,22.13075,22.18799,22.18799,22.47211,
+ 22.52747,22.52929,22.53239,22.53689,22.56844,
+ 22.57086,22.82136,22.82136,22.85996,22.85996,
+ 22.89870,23.11398,23.11600,23.11878,23.38108,
+ 23.38522,24.12408,24.27024,24.27201,24.27444,
+ 24.27787,24.37010,24.37079,24.37187,24.37315,
+ 24.60198,24.60332,24.65351,24.65617,24.65793,
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+ 26.62867,26.63139,26.63554,26.75178,26.82771,
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+ 27.29378,27.29509,27.35131,27.35294,27.37703,
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+ 27.46810,27.46936,27.47200,27.47561,27.47330,
+ 27.47864,27.48713,27.49096,27.49330,27.49330,
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+ 28.70253,28.70515,28.70515,28.70515,28.70515,
+ 29.31561,29.31561,29.31561,29.31561,29.33557,
+ 29.33557,29.33557/
DATA NCIII/2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,
+ 3,4,4,4,4,3,4,4,4,4,4,4,4,4,3,3,3,4,3,3,3,3,3,3,
+ 3,3,3,3,3,3,5,3,3,3,3,5,5,5,5,3,5,5,5,5,5,5,5,5,
+ 5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,
+ 7,8,8,8,8,9,9,9,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
+ 4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,
+ 6,6,6,6,6,6,7,7,7,7,7,7/
DATA GCIII/1.0D0,1.0D0,3.0D0,5.0D0,3.0D0,
+ 1.0D0,3.0D0,5.0D0,5.0D0,1.0D0,
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+ 3.0D0,5.0D0,7.0D0,1.0D0,3.0D0,5.0D0/
DATA ENCIII/0.0D0,6.486296,6.489148,6.496191,12.69008,
+ 17.03237,17.03602,17.04185,18.08638,22.62984,
+ 29.52845,30.64541,32.10371,32.19328,32.19396,
+ 32.19555,33.47080,33.45866,33.47146,34.27982,
+ 38.20770,38.21183,38.22034,38.36164,38.43612,
+ 38.64882,39.39549,39.39549,39.39611,39.64054,
+ 39.84380,39.84582,39.84874,39.91699,39.91782,
+ 39.91892,39.97328,40.01022,40.05026,40.05341,
+ 40.05822,40.19756,40.57121,40.86969,40.87231,
+ 40.87686,41.24874,41.30157,41.32848,41.33158,
+ 41.33611,41.85783,41.80309,41.86202,42.14028,
+ 42.16117,42.16444,42.16623,42.32471,42.55869,
+ 42.67342,42.67342,42.67342,42.78661,42.83001,
+ 42.83001,42.83001,42.96405,42.96405,42.96416,
+ 42.96405,42.98029,42.98736,43.03527,43.03550,
+ 43.03579,43.25349,43.98952,44.27370,44.39248,
+ 44.39248,44.39248,44.46592,44.46592,44.46600,
+ 44.47219,44.47673,44.48596,44.48596,44.48596,
+ 44.52591,45.07626,45.24178,45.32720,45.32720,
+ 45.32720,45.38200,45.86543,45.92891,45.92891,
+ 45.92891,46.33929,46.33929,46.33929,46.69749,
+ 46.69749,46.69749,47.25143,47.35238,47.35238,
+ 47.35722,47.64920,47.64920,47.65379,47.81342,
+ 47.83558,48.06245,48.06245,48.06245,48.16114,
+ 48.16114,48.16114,48.20208,50.51542,50.55803,
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+ 50.77264,50.79460,50.90022,50.90022,50.90022,
+ 50.93829,50.93829,50.93829,52.24497,52.24497,
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+ 52.43107,52.43107,52.45302,52.45302,52.45302,
+ 53.23251,53.23251,53.23251,53.27802,53.27802,
+ 53.27802/
DATA NCIV/2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,
+ 6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,8,8,
+ 8,8,8,8,8,8,8/
DATA GCIV/2.0D0,2.0D0,4.0D0,2.0D0,2.0D0,
+ 4.0D0,4.0D0,6.0D0,2.0D0,2.0D0,
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+ 8.0D0,10.0D0,12.0D0,14.0D0,16.0D0/
DATA ENCIV/0.0D0,7.995100,8.008378,37.54872,39.68134,
+ 39.68525,40.28040,40.28173,49.76113,50.62434,
+ 50.62599,50.87540,50.87595,50.88784,50.88784,
+ 55.21889,55.65134,55.65221,55.77947,55.77947,
+ 55.78577,55.78578,55.78703,55.78703,58.12002,
+ 58.36774,58.36774,58.44275,58.44275,58.44709,
+ 58.44709,58.44764,58.44764,58.44770,58.44770,
+ 59.84267,60.00038,60.00038,60.04725,60.04725,
+ 60.05156,60.05156,60.05191,60.05191,60.05194,
+ 60.05194,61.05946,61.05946,61.09294,61.09294,
+ 61.09319,61.09319,61.09319,61.09319,61.09319/
DATA NCV/1,2,2,2,2,2,3,3,3,3,4,5,6,7,8/
DATA GCV/1.0D0,3.0D0,1.0D0,3.0D0,5.0D0,
+ 3.0D0,3.0D0,5.0D0,7.0D0,3.0D0,
+ 3.0D0,3.0D0,3.0D0,3.0D0,3.0D0/
DATA ENCV/0.0D0,298.9618,304.4046,304.4030,304.4199,
+ 307.8855,354.2645,354.2645,354.2645,354.5177,
+ 370.9247,378.5349,382.6710,385.1917,386.6807/
DATA NNI/2,2,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,3,3,3,3,3,3,
+ 3,3,3,3,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
+ 3,3,4,4,4,4,4,4,4,4,4,5,5,5,5,5,4,4,4,4,4,4,4,4,
+ 4,4,4,4,4,4,4,4,4,3,3,3,3,6,6,6,6,6,5,5,5,5,5,5,
+ 5,5,5,5,5,5,5,5,5,5,5,7,7,7,7,7,6,6,6,6,6,6,6,6,
+ 6,6,6,6,6,6,6,6,6,8,8,8,8,8,7,7,7,7,7,7,7,7,7,7,
+ 7,7,7,9,9,9,9,9,8,8,8,8,8,8,8,8,8,8,8,8,8,10,10,10,
+ 10,10,9,9,9,9,9,9,9,9,9,9,9,9,9,11,11,11,11,11,10,
+ 10,10,10,10,10,10,10,10,10,10,10,10,12,12,12,12,12,
+ 11,11,11,11,11,11,11,11,11,11,11,11,11,13,13,12,12,
+ 12,12,12,12,12/
DATA GNI/4.0D0,6.0D0,4.0D0,4.0D0,2.0D0,
+ 2.0D0,4.0D0,6.0D0,2.0D0,4.0D0,
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+ 4.0D0,4.0D0,2.0D0,2.0D0,4.0D0,
+ 6.0D0,4.0D0,6.0D0/
DATA ENNI/0.0D0,2.383371,2.384363,3.575739,3.575739,
+ 10.32619,10.33038,10.33617,10.67904,10.69042,
+ 10.92429,10.92973,10.93217,11.60284,11.75037,
+ 11.75317,11.75780,11.76412,11.83769,11.83997,
+ 11.84472,11.99580,12.00032,12.00975,12.12207,
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+ 12.86185,12.91211,12.92268,12.97078,12.97568,
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+ 14.44021,14.44455,14.44455,14.45434,14.45434,
+ 14.45434,14.45980,14.45980/
DATA NNII/2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,2,3,3,3,3,2,3,
+ 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,3,4,4,4,
+ 4,4,4,4,4,4,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
+ 4,4,4,4,4,4,4,4,4,4,3,3,3,5,5,5,5,5,5,5,5,5,5,5,
+ 5,5,5,5,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3/
DATA GNII/1.0D0,3.0D0,5.0D0,5.0D0,1.0D0,
+ 5.0D0,7.0D0,5.0D0,3.0D0,5.0D0,
+ 3.0D0,1.0D0,5.0D0,1.0D0,3.0D0,
+ 5.0D0,3.0D0,3.0D0,3.0D0,3.0D0,
+ 5.0D0,7.0D0,3.0D0,3.0D0,1.0D0,
+ 3.0D0,5.0D0,5.0D0,1.0D0,5.0D0,
+ 7.0D0,9.0D0,5.0D0,3.0D0,5.0D0,
+ 7.0D0,5.0D0,3.0D0,1.0D0,7.0D0,
+ 3.0D0,1.0D0,3.0D0,5.0D0,3.0D0,
+ 3.0D0,3.0D0,5.0D0,7.0D0,1.0D0,
+ 3.0D0,5.0D0,3.0D0,5.0D0,3.0D0,
+ 5.0D0,7.0D0,1.0D0,5.0D0,7.0D0,
+ 9.0D0,5.0D0,3.0D0,5.0D0,7.0D0,
+ 5.0D0,3.0D0,1.0D0,7.0D0,5.0D0,
+ 7.0D0,9.0D0,7.0D0,7.0D0,9.0D0,
+ 11.0D0,3.0D0,9.0D0,7.0D0,5.0D0,
+ 3.0D0,5.0D0,1.0D0,3.0D0,5.0D0,
+ 1.0D0,3.0D0,5.0D0,3.0D0,3.0D0,
+ 5.0D0,7.0D0,5.0D0,7.0D0,9.0D0,
+ 7.0D0,7.0D0,9.0D0,11.0D0,9.0D0,
+ 1.0D0,3.0D0,5.0D0,7.0D0,9.0D0,
+ 3.0D0,5.0D0,7.0D0,5.0D0,3.0D0,
+ 5.0D0,7.0D0,9.0D0,11.0D0,7.0D0,
+ 5.0D0,3.0D0,1.0D0,3.0D0,5.0D0,
+ 7.0D0,9.0D0/
DATA ENNII/0.0D0,6.0876831D-03,1.6279284D-02,1.898923,4.052723,
+ 5.848106,11.43604,11.43781,11.43801,13.54146,
+ 13.54146,13.54228,17.87734,18.46259,18.46651,
+ 18.48341,18.49722,19.23384,20.40944,20.64636,
+ 20.65389,20.66582,20.67651,20.94027,21.14861,
+ 21.15298,21.16022,21.59986,22.10340,23.12481,
+ 23.13218,23.14229,23.19670,23.23962,23.24260,
+ 23.24636,23.41565,23.42207,23.42555,23.47490,
+ 23.57225,24.36823,24.37465,24.38944,24.53166,
+ 25.06612,25.13369,25.14001,25.15193,25.18946,
+ 25.19245,25.20124,25.23510,25.46049,25.53877,
+ 25.54572,25.55447,25.58160,25.99668,26.00464,
+ 26.01527,26.02787,26.06667,26.06994,26.07548,
+ 26.12440,26.13011,26.13327,26.16475,26.16510,
+ 26.16800,26.16849,26.17391,26.19663,26.19758,
+ 26.20937,26.20252,26.21087,26.21191,26.21252,
+ 26.22134,26.22182,26.25393,26.25770,26.26368,
+ 26.55921,26.56489,26.58065,26.63554,27.36569,
+ 27.36569,27.36569,27.40948,27.40948,27.40999,
+ 27.41783,27.42901,27.42963,27.43824,27.43947,
+ 27.77609,27.77805,27.78169,27.78704,27.79372,
+ 28.01910,28.02209,28.02755,28.54429,30.17253,
+ 30.17448,30.17763,30.18179,30.18682,30.34387,
+ 30.34864,30.35188,30.41607,30.41652,30.41750,
+ 30.41894,30.42068/
DATA NNIII/2,2,2,2,2,2,2,2,2,2,2,2,2,3,2,2,3,3,3,3,3,3,3,3,
+ 3,4,3,3,3,3,3,3,4,4,3,3,3,3,4,4,4,4,3,3,3,3,3,3,
+ 3,3,3,3,3,5,3,3,3,3,3,3,3,5,5,3,3,5,5,5,5,6,6,6,
+ 6,6,6,4,4,4,3,3,4,4,4,4,4,4,3,3,4,4,4,4,4,4,4,4,
+ 4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
+ 4,4,4,4,4,4,4,3,3,5,5,5,5/
DATA GNIII/2.0D0,4.0D0,2.0D0,4.0D0,6.0D0,
+ 6.0D0,4.0D0,2.0D0,2.0D0,4.0D0,
+ 4.0D0,6.0D0,4.0D0,2.0D0,2.0D0,
+ 4.0D0,2.0D0,4.0D0,4.0D0,6.0D0,
+ 2.0D0,4.0D0,6.0D0,2.0D0,4.0D0,
+ 2.0D0,2.0D0,4.0D0,2.0D0,4.0D0,
+ 6.0D0,8.0D0,2.0D0,4.0D0,4.0D0,
+ 2.0D0,4.0D0,6.0D0,4.0D0,6.0D0,
+ 6.0D0,8.0D0,4.0D0,6.0D0,2.0D0,
+ 4.0D0,6.0D0,8.0D0,10.0D0,2.0D0,
+ 4.0D0,6.0D0,8.0D0,2.0D0,4.0D0,
+ 6.0D0,6.0D0,4.0D0,2.0D0,6.0D0,
+ 8.0D0,4.0D0,6.0D0,4.0D0,2.0D0,
+ 6.0D0,8.0D0,8.0D0,10.0D0,4.0D0,
+ 6.0D0,6.0D0,8.0D0,8.0D0,10.0D0,
+ 2.0D0,4.0D0,6.0D0,4.0D0,6.0D0,
+ 2.0D0,4.0D0,2.0D0,4.0D0,6.0D0,
+ 8.0D0,2.0D0,4.0D0,4.0D0,6.0D0,
+ 4.0D0,2.0D0,4.0D0,6.0D0,4.0D0,
+ 6.0D0,8.0D0,10.0D0,4.0D0,6.0D0,
+ 2.0D0,4.0D0,6.0D0,8.0D0,6.0D0,
+ 4.0D0,2.0D0,6.0D0,8.0D0,4.0D0,
+ 6.0D0,8.0D0,10.0D0,6.0D0,8.0D0,
+ 6.0D0,8.0D0,10.0D0,12.0D0,8.0D0,
+ 10.0D0,8.0D0,6.0D0,4.0D0,2.0D0,
+ 6.0D0,4.0D0,4.0D0,6.0D0,2.0D0,
+ 4.0D0,6.0D0,8.0D0/
DATA ENNIII/0.0D0,2.1635452D-02,7.180255,7.098413,7.108480,
+ 12.52548,12.52643,16.24252,18.08651,18.10019,
+ 23.16076,25.17799,25.18006,27.43827,28.56680,
+ 28.56730,30.45896,30.46342,33.13367,33.13441,
+ 35.65022,35.65797,35.67233,36.84229,36.85629,
+ 38.44641,38.32793,38.33453,38.39367,38.39807,
+ 38.40689,38.41771,38.64517,38.64825,38.95919,
+ 39.34056,39.34595,39.35325,39.39646,39.40031,
+ 39.71098,39.71098,39.79651,39.80747,40.55027,
+ 40.94474,40.94909,40.95552,40.96437,41.26192,
+ 41.26358,41.26631,41.26982,41.37555,41.47835,
+ 41.48166,41.68555,41.69232,41.69667,42.12335,
+ 42.13715,42.39634,42.39655,42.48893,42.49769,
+ 42.49625,42.49625,42.54757,42.54757,43.95493,
+ 43.95493,44.00932,44.00932,44.04135,44.04135,
+ 45.69180,45.69957,45.71402,46.28896,46.29317,
+ 46.46321,46.47039,46.71232,46.71811,46.72555,
+ 46.73671,46.81577,46.81788,46.85206,46.86286,
+ 46.92110,47.02857,47.03412,47.04068,47.61238,
+ 47.61238,47.61845,47.62763,47.75000,47.75000,
+ 47.77108,47.77108,49.01428,47.77802,47.88887,
+ 47.88887,47.88887,47.97657,47.97913,47.98245,
+ 47.98245,47.98363,47.98760,48.07270,48.08297,
+ 48.11119,48.11662,48.12305,48.13089,48.12993,
+ 48.14229,48.14024,48.14488,48.15087,48.15427,
+ 48.15307,48.16119,49.16950,49.17073,50.71214,
+ 50.71214,50.71214,50.71214/
DATA NNIV/2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
+ 3,3,3,3,3,3,4,3,3,3,3,3,4,4,4,3,3,3,3,4,4,4,4,3,
+ 3,3,4,4,4,4,3,4,5,5,5,5,5,5,5,6,6,6,4,4,4,4,5,5,4/
DATA GNIV/1.0D0,1.0D0,3.0D0,7.0D0,3.0D0,
+ 1.0D0,3.0D0,5.0D0,5.0D0,1.0D0,
+ 3.0D0,1.0D0,1.0D0,3.0D0,5.0D0,
+ 3.0D0,5.0D0,7.0D0,5.0D0,1.0D0,
+ 3.0D0,5.0D0,3.0D0,3.0D0,3.0D0,
+ 5.0D0,7.0D0,3.0D0,1.0D0,3.0D0,
+ 5.0D0,5.0D0,5.0D0,5.0D0,7.0D0,
+ 9.0D0,1.0D0,3.0D0,5.0D0,3.0D0,
+ 5.0D0,7.0D0,7.0D0,3.0D0,3.0D0,
+ 5.0D0,7.0D0,5.0D0,3.0D0,1.0D0,
+ 5.0D0,5.0D0,7.0D0,9.0D0,3.0D0,
+ 7.0D0,3.0D0,3.0D0,5.0D0,7.0D0,
+ 7.0D0,9.0D0,11.0D0,3.0D0,5.0D0,
+ 7.0D0,5.0D0,3.0D0,5.0D0,7.0D0,
+ 3.0D0,5.0D0,7.0D0/
DATA ENNIV/0.0D0,8.323934,8.331770,8.349648,16.20427,
+ 21.75491,21.76399,21.77946,23.41898,29.18244,
+ 46.76804,50.15470,50.32483,50.32679,50.33118,
+ 52.06988,52.07031,52.07132,53.20933,57.68086,
+ 57.69048,57.71067,58.64906,59.62210,60.05779,
+ 60.05779,60.07403,60.44809,61.27855,61.27855,
+ 61.29070,61.78379,61.95650,61.97423,61.97423,
+ 61.97423,62.44215,62.44215,62.44215,62.67301,
+ 62.67685,62.68218,62.77282,62.86333,63.40415,
+ 63.40415,63.40415,63.41109,63.41767,63.41767,
+ 63.80760,64.05482,64.05569,64.05706,64.39976,
+ 64.70402,68.21900,68.53058,68.53058,68.53058,
+ 68.73986,68.73986,68.73986,71.28416,71.28416,
+ 71.28416,73.28070,73.60580,73.60580,73.61063,
+ 78.63129,78.63129,78.63129/
DATA NNV/2,2,2,3,3,3,3,3,4,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6,
+ 6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8/
DATA GNV/2.0D0,2.0D0,4.0D0,2.0D0,2.0D0,
+ 4.0D0,4.0D0,6.0D0,2.0D0,2.0D0,
+ 4.0D0,4.0D0,6.0D0,2.0D0,2.0D0,
+ 4.0D0,4.0D0,6.0D0,2.0D0,2.0D0,
+ 4.0D0,4.0D0,6.0D0,6.0D0,8.0D0,
+ 8.0D0,10.0D0,12.0D0,2.0D0,2.0D0,
+ 4.0D0,4.0D0,6.0D0,6.0D0,8.0D0,
+ 8.0D0,10.0D0,12.0D0,14.0D0,2.0D0,
+ 2.0D0,4.0D0,4.0D0,6.0D0,6.0D0,
+ 8.0D0,8.0D0,10.0D0,12.0D0,14.0D0,16.0D0/
DATA ENNV/0.0D0,9.976473,10.00851,56.55396,59.23740,
+ 59.24660,60.05890,60.06188,75.17694,76.26962,
+ 76.26962,76.61120,76.61120,83.55153,84.09893,
+ 84.09893,84.27598,84.27598,88.02306,88.33514,
+ 88.33514,88.43854,88.43742,88.44214,88.44214,
+ 88.44313,88.44313,88.44313,90.68689,90.88043,
+ 90.88043,90.94527,90.94527,90.94912,90.94912,
+ 90.94974,90.94974,90.94974,90.94974,92.40136,
+ 92.53167,92.53167,92.57358,92.57358,92.57618,
+ 92.57618,92.57668,92.57668,92.57668,92.57668,
+ 92.57668/
DATA NNVI/1,2,2,2,2,2,3,4/
DATA GNVI/1.0D0,3.0D0,1.0D0,3.0D0,5.0D0,3.0D0,3.0D0,3.0D0/
DATA ENNVI/0.0D0,419.8009,426.2953,426.2965,426.3325,
+ 425.7398,497.9737,521.5830/
DATA NOI/2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,3,3,3,3,3,3,3,3,3,
+ 4,4,4,4,4,4,3,3,3,5,5,3,4,4,4,4,4,4,4,4,5,5,5,6,
+ 6,5,5,5,5,5,5,5,5,6,6,6,7,7,6,6,6,6,6,6,6,6,8,8,
+ 7,7,7,7,7,7,7,7,9,9,8,8,8,8,8,8,8,8,10,10,9,9,9,9,
+ 9,9,9,9,11,11,10,10,10,10,10,10,10,10,3,3,3,3,3,3,
+ 3,3,3,3,3,3,4,3,3,3,3,3,3,3,3,3,3,3,4,4,4,2,2,2,3,
+ 3,3,3,3,5,4,4,4,4,4,4,4,4,4,4,4,3,6,5,5,5,5,5,5,5,
+ 5,5,5,7,6,6,6,2/
DATA GOI/5.0D0,3.0D0,1.0D0,5.0D0,1.0D0,
+ 5.0D0,3.0D0,3.0D0,5.0D0,7.0D0,
+ 5.0D0,3.0D0,1.0D0,5.0D0,3.0D0,
+ 9.0D0,7.0D0,5.0D0,5.0D0,3.0D0,
+ 1.0D0,7.0D0,5.0D0,3.0D0,3.0D0,
+ 5.0D0,7.0D0,5.0D0,3.0D0,1.0D0,
+ 7.0D0,5.0D0,3.0D0,5.0D0,3.0D0,
+ 5.0D0,9.0D0,7.0D0,5.0D0,3.0D0,
+ 1.0D0,7.0D0,5.0D0,3.0D0,5.0D0,
+ 3.0D0,1.0D0,5.0D0,3.0D0,9.0D0,
+ 7.0D0,5.0D0,3.0D0,1.0D0,7.0D0,
+ 5.0D0,3.0D0,5.0D0,3.0D0,1.0D0,
+ 5.0D0,3.0D0,9.0D0,7.0D0,5.0D0,
+ 3.0D0,1.0D0,7.0D0,5.0D0,3.0D0,
+ 5.0D0,3.0D0,9.0D0,7.0D0,5.0D0,
+ 3.0D0,1.0D0,7.0D0,5.0D0,3.0D0,
+ 5.0D0,3.0D0,9.0D0,7.0D0,5.0D0,
+ 3.0D0,1.0D0,7.0D0,5.0D0,3.0D0,
+ 5.0D0,3.0D0,9.0D0,7.0D0,5.0D0,
+ 3.0D0,1.0D0,7.0D0,5.0D0,3.0D0,
+ 5.0D0,3.0D0,9.0D0,7.0D0,5.0D0,
+ 3.0D0,1.0D0,7.0D0,5.0D0,3.0D0,
+ 7.0D0,5.0D0,3.0D0,9.0D0,7.0D0,
+ 5.0D0,5.0D0,3.0D0,1.0D0,7.0D0,
+ 3.0D0,5.0D0,5.0D0,5.0D0,3.0D0,
+ 1.0D0,9.0D0,7.0D0,5.0D0,9.0D0,
+ 11.0D0,9.0D0,7.0D0,7.0D0,7.0D0,
+ 5.0D0,3.0D0,5.0D0,3.0D0,1.0D0,
+ 7.0D0,5.0D0,3.0D0,3.0D0,5.0D0,
+ 5.0D0,9.0D0,7.0D0,5.0D0,9.0D0,
+ 11.0D0,9.0D0,7.0D0,7.0D0,5.0D0,
+ 3.0D0,1.0D0,1.0D0,5.0D0,9.0D0,
+ 7.0D0,5.0D0,9.0D0,11.0D0,9.0D0,
+ 7.0D0,5.0D0,3.0D0,1.0D0,5.0D0,
+ 5.0D0,3.0D0,1.0D0,3.0D0/
DATA ENOI/0.0D0,01.9651687D-02,2.8082693D-02,1.967363,0.4206081,
+ 9.146132,9.521420,10.74028,10.74053,10.74098,
+ 10.98893,10.98886,10.98895,11.83768,11.93056,
+ 12.07869,12.07870,12.07870,12.07872,12.07872,
+ 12.07872,12.08711,12.08711,12.08711,12.28604,
+ 12.28612,12.28627,12.35891,12.35891,12.35891,
+ 12.53927,12.54078,12.54176,12.66092,12.69755,
+ 12.72854,12.75377,12.75377,12.75377,12.75377,
+ 12.75377,12.75911,12.75911,12.75911,12.87829,
+ 12.87829,12.87829,13.02082,13.03891,13.06624,
+ 13.06624,13.06624,13.06624,13.06624,13.06913,
+ 13.06913,13.06913,13.13145,13.13145,13.13145,
+ 13.21004,13.22030,13.23559,13.23559,13.23559,
+ 13.23559,13.23559,13.23740,13.23740,13.23740,
+ 13.32166,13.32807,13.33749,13.33749,13.33749,
+ 13.33749,13.33749,13.33869,13.33869,13.33869,
+ 13.39308,13.39756,13.40353,385.3597,13.40353,
+ 13.40353,13.40353,13.40488,13.40488,13.40488,
+ 13.44262,13.44449,13.44872,13.44872,13.44872,
+ 13.44872,13.44872,13.44966,13.44966,13.44966,
+ 13.47577,13.47812,13.48112,13.48112,13.48112,
+ 13.48112,13.48112,13.48148,13.48148,13.48148,
+ 14.04685,14.04687,14.04730,14.09888,14.09975,
+ 14.10046,14.12320,14.12450,14.12526,14.13382,
+ 14.37218,14.46048,15.22525,15.28698,15.29424,
+ 15.29817,15.40062,15.40062,15.40062,15.40372,
+ 15.40390,15.40622,15.40550,15.41465,15.59420,
+ 15.59514,15.59577,15.65520,15.66431,15.66970,
+ 15.78109,15.78181,15.78222,15.82895,15.94391,
+ 16.01073,16.07676,16.07676,16.07676,16.07836,
+ 16.07844,16.08080,16.08005,16.08545,16.11433,
+ 16.11550,16.11614,16.23505,16.35702,16.35702,
+ 16.35702,16.35702,16.39057,16.39063,16.39308,
+ 16.39308,16.40451,16.40451,16.40451,16.54127,
+ 16.56668,16.56668,16.56668,23.53702/
DATA NOII/2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,2,3,3,3,3,3,3,3,3,
+ 3,3,3,3,3,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
+ 3,3,3,3,3,3,3,3,3,4,4,4,4,4,3,4,4,4,4,4,4,4,4,3,
+ 3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,3,4,4,4,4,4,4,
+ 4,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,
+ 5,5,5,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,
+ 5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,3,3,3,4,4,4,4,
+ 4,4,4,4,4,4,3,3,4,4,4,4,4,4,4,5,5,3,3,3,3,3,4/
DATA GOII/4.0D0,6.0D0,4.0D0,4.0D0,2.0D0,
+ 6.0D0,4.0D0,2.0D0,6.0D0,4.0D0,
+ 2.0D0,4.0D0,6.0D0,2.0D0,4.0D0,
+ 2.0D0,2.0D0,2.0D0,4.0D0,6.0D0,
+ 8.0D0,6.0D0,4.0D0,2.0D0,4.0D0,
+ 6.0D0,4.0D0,6.0D0,4.0D0,4.0D0,
+ 2.0D0,2.0D0,4.0D0,2.0D0,6.0D0,
+ 8.0D0,6.0D0,4.0D0,4.0D0,6.0D0,
+ 8.0D0,10.0D0,6.0D0,4.0D0,2.0D0,
+ 2.0D0,4.0D0,2.0D0,4.0D0,6.0D0,
+ 8.0D0,6.0D0,8.0D0,4.0D0,2.0D0,
+ 4.0D0,6.0D0,2.0D0,4.0D0,6.0D0,
+ 2.0D0,4.0D0,6.0D0,2.0D0,4.0D0,
+ 6.0D0,8.0D0,4.0D0,6.0D0,2.0D0,
+ 4.0D0,2.0D0,4.0D0,8.0D0,6.0D0,
+ 10.0D0,8.0D0,4.0D0,6.0D0,2.0D0,
+ 4.0D0,4.0D0,6.0D0,8.0D0,10.0D0,
+ 2.0D0,4.0D0,6.0D0,8.0D0,4.0D0,
+ 6.0D0,4.0D0,2.0D0,4.0D0,2.0D0,
+ 6.0D0,8.0D0,2.0D0,6.0D0,4.0D0,
+ 8.0D0,5.80D0,4.0D0,2.0D0,6.0D0,
+ 8.0D0,10.0D0,12.0D0,8.0D0,10.0D0,
+ 4.0D0,6.0D0,4.0D0,6.0D0,8.0D0,
+ 10.0D0,6.0D0,8.0D0,2.0D0,4.0D0,
+ 6.0D0,2.0D0,4.0D0,6.0D0,4.0D0,
+ 2.0D0,4.0D0,6.0D0,8.0D0,2.0D0,
+ 4.0D0,6.0D0,4.0D0,6.0D0,2.0D0,
+ 4.0D0,6.0D0,8.0D0,6.0D0,4.0D0,
+ 2.0D0,6.0D0,8.0D0,8.0D0,6.0D0,
+ 4.0D0,2.0D0,6.0D0,8.0D0,10.0D0,
+ 12.0D0,8.0D0,10.0D0,4.0D0,6.0D0,
+ 4.0D0,6.0D0,8.0D0,10.0D0,6.0D0,
+ 8.0D0,4.0D0,6.0D0,8.0D0,6.0D0,
+ 8.0D0,4.0D0,6.0D0,2.0D0,4.0D0,
+ 8.0D0,10.0D0,6.0D0,8.0D0,6.0D0,
+ 4.0D0,2.0D0,4.0D0,6.0D0,10.0D0,
+ 12.0D0,2.0D0,4.0D0,4.0D0,6.20D0,
+ 10.0D0,8.0D0,6.0D0,4.0D0,2.0D0,
+ 6.0D0/
DATA ENOII/0.0D0,3.323850,3.326454,5.017305,5.017491,
+ 14.85813,14.87838,14.88860,20.58005,20.57736,
+ 22.96648,22.97954,23.001876,23.41940,23.44172,
+ 24.26523,25.28586,25.63160,25.63849,25.64984,
+ 25.66529,25.66142,25.66154,25.83188,25.83760,
+ 25.84900,26.22564,26.24928,26.30498,26.35845,
+ 26.37943,26.55392,26.56133,28.12621,28.35835,
+ 28.36128,28.51330,28.51270,28.67733,28.68403,
+ 28.69369,28.70637,28.82200,28.83108,28.83932,
+ 28.82414,28.82992,28.85285,28.85711,28.85729,
+ 28.85808,28.86334,28.88355,28.94193,28.95606,
+ 29.06249,29.06893,29.58618,29.59923,29.61924,
+ 29.79726,29.82051,30.42546,30.47162,30.47763,
+ 30.48836,30.50400,30.74951,30.77135,30.80112,
+ 30.81214,31.02747,31.02747,31.14773,31.14812,
+ 31.31967,31.31982,31.37404,31.37430,31.46620,
+ 31.46649,31.55199,31.55199,31.55199,31.56553,
+ 31.61407,31.61407,31.61407,31.61407,31.61407,
+ 31.62925,31.63375,31.63644,31.63766,31.65117,
+ 31.65364,31.67396,31.69345,31.70178,31.71699,
+ 31.70200,31.71709,31.72948,31.72935,31.70999,
+ 31.71043,31.71889,31.73747,31.71911,31.73823,
+ 31.72081,31.72752,31.75062,31.75112,31.75553,
+ 31.75715,31.75586,31.75803,31.95026,31.96318,
+ 31.98375,32.03889,32.06284,32.14771,32.14780,
+ 32.35511,32.35511,32.36540,32.38251,32.39264,
+ 32.39264,32.40412,32.44667,32.46798,32.88345,
+ 32.88345,32.88345,32.88345,32.90963,32.91418,
+ 32.91418,32.92780,32.92780,32.93536,32.94354,
+ 32.95061,32.96264,32.93858,32.94181,32.95049,
+ 32.97082,32.95073,32.97146,32.96227,32.96227,
+ 32.97119,32.97528,32.97826,32.97999,32.97863,
+ 32.97999,33.19875,33.19968,33.20123,34.06365,
+ 34.06901,34.08607,34.08607,34.17174,34.17174,
+ 34.20029,34.20029,34.20504,34.20504,34.21390,
+ 34.21390,34.21960,34.22819,34.22819,34.23350,
+ 34.23350,34.25269,34.25269,34.48530,34.48530,
+ 36.19083,36.18759,36.19109,36.19123,36.19131,37.05294/
DATA NOIII/2,2,2,2,2,2,2,3,3,2,2,2,2,2,2,3,3,3,3,2,2,2,3,3,
+ 3,3,3,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
+ 2,3,3,3,4,4,4,4,3,3,3,3,3,3,4,4,4,4,4,3,3,3,4,4,
+ 4,4,4,3,3,3,3,4,4,4,4,3,3,3,4,4,4,4,4,4,4,4,5,5,
+ 5,5,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
+ 5,5,5,5,5,5,5,5,5,3,3,3,6,6,6,6,7,3,3,4,4,4,3,4,
+ 4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,5/
DATA GOIII/1.0D0,3.0D0,5.0D0,5.0D0,1.0D0,
+ 5.0D0,7.0D0,5.0D0,3.0D0,5.0D0,
+ 3.0D0,1.0D0,5.0D0,3.0D0,3.0D0,
+ 1.0D0,3.0D0,5.0D0,3.0D0,5.0D0,
+ 3.0D0,1.0D0,3.0D0,3.0D0,5.0D0,
+ 7.0D0,3.0D0,5.0D0,1.0D0,3.0D0,
+ 5.0D0,5.0D0,1.0D0,5.0D0,7.0D0,
+ 9.0D0,5.0D0,3.0D0,5.0D0,7.0D0,
+ 5.0D0,3.0D0,1.0D0,7.0D0,3.0D0,
+ 3.0D0,5.0D0,7.0D0,1.0D0,1.0D0,
+ 3.0D0,5.0D0,1.0D0,3.0D0,5.0D0,
+ 3.0D0,3.0D0,1.0D0,3.0D0,5.0D0,
+ 7.0D0,9.0D0,3.0D0,3.0D0,5.0D0,
+ 7.0D0,3.0D0,3.0D0,5.0D0,7.0D0,
+ 1.0D0,3.0D0,5.0D0,5.0D0,1.0D0,
+ 3.0D0,5.0D0,7.0D0,5.0D0,5.0D0,
+ 7.0D0,9.0D0,5.0D0,5.0D0,3.0D0,
+ 1.0D0,3.0D0,5.0D0,7.0D0,5.0D0,
+ 3.0D0,1.0D0,7.0D0,3.0D0,1.0D0,
+ 3.0D0,5.0D0,3.0D0,3.0D0,5.0D0,
+ 7.0D0,3.0D0,5.0D0,7.0D0,9.0D0,
+ 11.0D0,1.0D0,3.0D0,5.0D0,7.0D0,
+ 9.0D0,7.0D0,5.0D0,3.0D0,5.0D0,
+ 3.0D0,1.0D0,5.0D0,7.0D0,9.0D0,
+ 5.0D0,7.0D0,9.0D0,5.0D0,3.0D0,
+ 5.0D0,7.0D0,7.0D0,3.0D0,3.0D0,
+ 5.0D0,7.0D0,5.0D0,3.0D0,5.0D0,
+ 7.0D0,7.0D0,7.0D0,5.0D0,3.0D0,
+ 5.0D0,7.0D0,3.0D0,3.0D0,1.0D0,
+ 3.0D0,5.0D0,7.0D0,9.0D0,3.0D0,
+ 5.0D0,7.0D0,3.0D0,5.0D0,7.0D0,
+ 7.0D0,5.0D0,3.0D0,5.0D0,7.0D0,
+ 9.0D0,3.0D0,5.0D0,7.0D0,1.0D0,
+ 3.0D0,5.0D0,3.0D0/
DATA ENOIII/0.0D0,1.4059945D-02,3.8038719D-02,2.513308,5.354124,
+ 7.477820,14.88140,14.88477,14.88550,17.65325,
+ 17.65339,17.65514,23.19140,24.43587,26.09378,
+ 33.13600,33.15068,33.18253,33.85794,35.18196,
+ 35.20895,35.22094,36.07438,36.43500,36.45190,
+ 36.47919,36.89279,36.98353,37.22392,37.23410,
+ 37.25028,38.01204,38.90675,40.22861,40.25288,
+ 40.27497,40.26230,40.57149,40.57759,40.58673,
+ 40.84922,40.86335,40.87098,41.14086,41.25951,
+ 41.97723,41.99266,42.14902,42.56451,43.39812,
+ 43.41013,43.43237,44.22956,44.24270,44.27655,
+ 44.46952,45.03978,45.31862,45.32294,45.33144,
+ 45.34384,45.35962,45.34443,45.43903,45.45230,
+ 45.47797,45.62070,45.69189,45.69899,45.71153,
+ 45.91510,45.92614,45.93959,45.98626,46.25228,
+ 46.44183,45.21283,46.46955,46.62690,46.78899,
+ 46.78899,46.78899,46.82767,46.91713,46.91867,
+ 46.92080,47.01923,47.02679,47.03461,47.20199,
+ 47.20199,47.20199,47.21141,47.24910,48.62968,
+ 48.62968,48.62968,48.69874,48.86141,48.86587,
+ 48.87442,48.91428,48.91908,48.92621,48.93560,
+ 48.94701,49.36293,49.36248,49.36198,49.36323,
+ 49.37332,49.40500,49.41368,49.41845,49.63815,
+ 49.65178,49.65844,49.76514,49.77709,49.79367,
+ 49.78386,49.78386,49.78386,49.81572,49.78386,
+ 49.78386,49.78386,50.01249,50.03133,50.31391,
+ 50.31750,50.32357,51.41365,51.47638,51.47638,
+ 51.47638,52.44297,52.69355,52.85969,53.12613,
+ 53.14089,53.16110,53.31682,54.18348,54.33549,
+ 54.33549,54.34320,54.35460,54.36977,54.46407,
+ 54.47044,54.48261,54.88958,54.88958,54.88958,
+ 55.81414,55.82281,55.82951,56.14741,56.14741,
+ 56.14741,56.31095,56.31095,56.31095,56.73994,
+ 56.73994,56.73994,58.73808/
DATA NOIV/2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,
+ 3,3,3,3,3,3,3,3,3,3,3,4,3,3,3,3,3,3,3,3,3,3,3,3,
+ 3,3,4,4,3,3,3,3,3,3,5,3,3,3,3,5,5,5,5,3,4,4,4,3,
+ 3,4,4,6,6,4,4,3,3,3,3,3,3,3,4,4,7,7,4,4,4,4,4,4,
+ 4,4,4,4,4,4,4,4,4,4,3,8,8,4,4,3,3,3,3,3,3,3,3,3,
+ 3,3,3,3,3,5,5,3,3,5,5,3,3,5,5,5,5,5,5,5,5,5,5,5,
+ 3,3,3,3,3,3,3,3,3,6,6,6,6,4,4,3,4,4,7,7,7,7/
DATA GOIV/2.0D0,4.0D0,2.0D0,4.0D0,6.0D0,
+ 6.0D0,4.0D0,2.0D0,2.0D0,6.0D0,
+ 4.0D0,6.0D0,4.0D0,2.0D0,4.0D0,
+ 2.0D0,2.0D0,4.0D0,2.0D0,4.0D0,
+ 6.0D0,2.0D0,4.0D0,2.0D0,4.0D0,
+ 2.0D0,4.0D0,6.0D0,8.0D0,4.0D0,
+ 2.0D0,4.0D0,6.0D0,4.0D0,6.0D0,
+ 2.0D0,2.0D0,4.0D0,6.0D0,8.0D0,
+ 10.0D0,2.0D0,4.0D0,6.0D0,8.0D0,
+ 4.0D0,6.0D0,6.0D0,4.0D0,2.0D0,
+ 4.0D0,6.0D0,6.0D0,8.0D0,4.0D0,
+ 2.0D0,2.0D0,4.0D0,2.0D0,4.0D0,
+ 6.0D0,2.0D0,4.0D0,4.0D0,6.0D0,
+ 6.0D0,8.0D0,2.0D0,2.0D0,4.0D0,
+ 6.0D0,6.0D0,8.0D0,2.0D0,4.0D0,
+ 4.0D0,6.0D0,2.0D0,4.0D0,4.0D0,
+ 6.0D0,2.0D0,4.0D0,6.0D0,2.0D0,
+ 4.0D0,4.0D0,6.0D0,6.0D0,8.0D0,
+ 2.0D0,2.0D0,4.0D0,6.0D0,8.0D0,
+ 6.0D0,4.0D0,2.0D0,4.0D0,6.0D0,
+ 6.0D0,8.0D0,4.0D0,6.0D0,6.0D0,
+ 8.0D0,2.0D0,6.0D0,8.0D0,4.0D0,
+ 2.0D0,4.0D0,6.0D0,2.0D0,4.0D0,
+ 6.0D0,8.0D0,2.0D0,4.0D0,6.0D0,
+ 6.0D0,4.0D0,4.0D0,6.0D0,8.0D0,
+ 2.0D0,4.0D0,6.0D0,8.0D0,4.0D0,
+ 6.0D0,6.0D0,4.0D0,2.0D0,4.0D0,
+ 6.0D0,8.0D0,6.0D0,4.0D0,2.0D0,
+ 6.0D0,8.0D0,4.0D0,2.0D0,6.0D0,
+ 4.0D0,2.0D0,4.0D0,6.0D0,6.0D0,
+ 8.0D0,4.0D0,2.0D0,2.0D0,4.0D0,
+ 6.0D0,8.0D0,4.0D0,6.0D0,2.0D0,
+ 4.0D0,6.0D0,2.0D0,4.0D0,6.0D0,8.0D0/
DATA ENOIV/0.0D0,4.7920357D-02,8.824909,8.841201,8.864076,
+ 15.73825,15.73998,20.37910,22.37705,22.40721,
+ 28.67474,31.63571,31.63934,35.83378,35.83476,
+ 44.33902,48.37428,48.38508,54.37857,54.39532,
+ 54.42593,56.14158,56.17444,57.92984,57.94415,
+ 58.03452,58.04428,58.06108,58.08709,58.79609,
+ 59.33789,59.34961,59.36561,59.84372,59.87542,
+ 60.23497,61.10992,61.36131,61.37108,61.38501,
+ 61.40412,61.93150,61.93509,61.94088,61.94888,
+ 62.18008,62.18691,62.46812,62.48219,62.49133,
+ 63.30199,63.30286,63.32506,63.35387,63.75540,
+ 63.77412,64.30924,64.30999,66.87376,67.85857,
+ 67.86167,68.16618,68.17400,68.44416,68.44416,
+ 68.50069,68.50069,68.74507,70.50282,70.51955,
+ 70.55017,70.76975,70.76975,71.12993,71.15609,
+ 71.21387,71.21387,71.31690,71.33785,71.39315,
+ 71.39737,71.48887,71.50672,71.53300,72.12492,
+ 72.12764,72.47591,72.50269,72.88482,72.88482,
+ 73.16019,73.37047,73.37047,73.37047,73.37047,
+ 73.52322,73.52322,73.52322,73.60108,73.61112,
+ 73.64819,73.65725,73.68911,73.71453,73.93237,
+ 73.95444,74.05078,74.06293,74.06293,74.10930,
+ 74.12628,74.40265,74.40438,74.76035,74.76035,
+ 74.76035,74.76035,75.18896,75.18896,75.18896,
+ 76.30446,76.30806,76.44791,77.47625,77.47625,
+ 77.92433,77.92433,78.12258,78.12258,78.19797,
+ 78.21979,78.41159,78.43242,78.59385,78.59385,
+ 78.59385,78.59385,78.63718,78.63718,78.63718,
+ 78.85769,78.88398,78.91572,78.91572,78.96023,
+ 78.97250,78.98019,80.20107,80.20107,80.72665,
+ 80.72900,81.00314,81.01343,81.37509,81.37509,
+ 81.37509,81.37509,81.42716,81.42716,81.83012,
+ 82.88895,82.88895,83.03365,83.03365,83.03365,83.03365/
DATA NOV/2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
+ 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,
+ 4,4,4,4,4,4,5,5,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4,6,
+ 6,6,6,6,4,4,4,6,4,4,4,4,4,7,7,7,7,7,8,8,8,8,5,5,
+ 5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6/
DATA GOV/1.0D0,1.0D0,3.0D0,5.0D0,3.0D0,
+ 1.0D0,3.0D0,5.0D0,5.0D0,1.0D0,
+ 3.0D0,1.0D0,3.0D0,1.0D0,3.0D0,
+ 5.0D0,3.0D0,5.0D0,7.0D0,5.0D0,
+ 1.0D0,3.0D0,5.0D0,3.0D0,3.0D0,
+ 3.0D0,5.0D0,7.0D0,3.0D0,1.0D0,
+ 3.0D0,5.0D0,5.0D0,5.0D0,3.0D0,
+ 5.0D0,7.0D0,1.0D0,5.0D0,3.0D0,
+ 1.0D0,7.0D0,3.0D0,3.0D0,1.0D0,
+ 1.0D0,3.0D0,5.0D0,3.0D0,3.0D0,
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+ 7.0D0,3.0D0,5.0D0,7.0D0,5.0D0,
+ 5.0D0,3.0D0,1.0D0,7.0D0,3.0D0,
+ 3.0D0,3.0D0,5.0D0,7.0D0,5.0D0,
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+ 7.0D0,1.0D0,3.0D0,5.0D0,5.0D0/
DATA ENOV/0.0D0,10.18183,10.19878,10.23674,19.68863,
+ 26.48845,26.50776,26.54108,28.73015,35.69651,
+ 67.83862,69.59028,72.01395,72.28146,72.28596,
+ 72.29554,74.50599,74.50733,74.50979,75.95557,
+ 80.97483,80.99497,81.03748,82.38657,83.40436,
+ 83.97941,84.00407,84.04314,84.82139,85.49855,
+ 85.51269,85.53633,86.12596,86.43890,87.33036,
+ 87.33829,87.35107,87.73579,87.80076,87.81837,
+ 87.82866,88.39750,89.17985,89.60004,90.71603,
+ 91.26665,91.26665,91.26888,91.48672,92.04689,
+ 92.04763,92.04937,92.59937,92.97132,98.72523,
+ 99.49233,106.7049,106.7049,106.7049,100.2237,
+ 102.1987,102.8568,103.0377,103.0583,103.0944,
+ 103.1870,103.5465,103.5465,103.5676,103.8792,
+ 103.8829,104.1001,104.2509,104.2990,104.2990,
+ 104.2990,104.3064,104.3181,104.3333,104.4087,
+ 104.5556,104.5689,104.5754,105.0316,105.0733,
+ 106.7358,106.9963,106.9963,106.9963,106.9274,
+ 108.4187,108.5325,108.5325,108.5325,111.4108,
+ 111.5461,111.5461,111.5461,111.7535,111.7535,
+ 111.7535,111.8898,111.9082,112.1444,112.1444,
+ 112.1444,112.3809,115.9379,116.0435,116.0435,
+ 116.0435,116.1501,116.1501,116.1501,116.2166/
DATA NOVI/2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,5,5,5,5,5,6,6,6,6,
+ 6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8/
DATA GOVI/2.0D0,2.0D0,4.0D0,2.0D0,2.0D0,
+ 4.0D0,4.0D0,6.0D0,2.0D0,2.0D0,
+ 4.0D0,4.0D0,6.0D0,6.0D0,8.0D0,
+ 2.0D0,2.0D0,4.0D0,4.0D0,6.0D0,
+ 2.0D0,4.0D0,4.0D0,6.0D0,6.0D0,
+ 8.0D0,8.0D0,10.0D0,12.0D0,2.0D0,
+ 2.0D0,4.0D0,4.0D0,6.0D0,6.0D0,
+ 8.0D0,8.0D0,10.0D0,12.0D0,14.0D0,
+ 2.0D0,2.0D0,4.0D0,6.0D0,8.0D0,
+ 8.0D0,10.0D0,12.0D0,14.0D0,16.0D0,4.0D0,6.0D0/
DATA ENOVI/0.0D0,11.94909,12.01505,79.35559,82.58831,
+ 82.60773,83.64374,83.65008,105.7219,107.0408,
+ 107.0487,107.4805,107.4831,107.5050,107.5062,
+ 117.6237,118.2920,118.2920,118.5122,118.5122,
+ 124.3735,124.3735,124.5034,124.5034,124.5142,
+ 124.5142,124.5156,124.5156,124.5156,127.8017,
+ 128.0311,128.0311,128.1171,128.1171,128.1243,
+ 128.1243,128.1252,128.1252,128.1252,128.1252,
+ 130.2520,130.3984,130.3984,130.4674,130.4674,
+ 130.4680,130.4680,130.4680,130.4680,130.4680,
+ 130.4693,130.4693/
DATA NOVII/1,2,2,2,2,2,3,3,3,3,3,3,3,4,5,6/
DATA GOVII/1.0D0,3.0D0,1.0D0,3.0D0,5.0D0,
+ 3.0D0,1.0D0,3.0D0,5.0D0,7.0D0,
+ 5.0D0,3.0D0,3.0D0,3.0D0,3.0D0,3.0D0/
DATA ENOVII/0.0D0,561.0761,568.6182,568.6255,568.6938,
+ 573.9532,664.1129,664.1129,664.1129,665.1804,
+ 665.1804,665.1804,665.6218,697.8022,712.7239,720.8449/
DATA SCI/4.179704,4.179868,4.180140,4.284864,4.411317,
+ 4.556712,4.417538,4.418036,4.419087,4.460873,
+ 5.012059,5.012145,5.012123,4.656621,4.682271,
+ 4.682931,4.683973,4.715525,4.735114,4.735517,
+ 4.736181,4.776610,4.823287,5.245868,4.960446,
+ 4.636463,4.637096,4.638772,4.981131,4.981795,
+ 4.983181,4.985224,4.985476,4.985839,4.648973,
+ 4.987257,5.002644,5.026932,5.027268,5.027448,
+ 4.751991,4.753114,4.754886,4.775015,4.807735,
+ 4.820394,4.821310,4.822433,4.849118,4.880081,
+ 4.964531,4.983084,4.983084,4.983084,4.988046,
+ 4.988550,4.989272,4.739796,4.996660,5.002712,
+ 5.007890,5.009317,5.009317,4.830776,4.830763,
+ 4.830763,4.843919,4.885500,4.908801,4.963564,
+ 4.983777,4.984663,4.984663,4.989659,4.989659,
+ 4.992449,4.793379,4.998577,5.003253,5.004741,
+ 5.006231,5.006231,4.972326,4.984214,4.985345,
+ 4.985345,4.991673,4.991673,4.995098,4.831870,
+ 5.000666,5.004451,5.005935,5.005935,5.004665,
+ 4.984616,4.985763,4.985763,4.999064,4.999064,
+ 4.999064,5.002865,5.004758,5.006233,5.006233,
+ 5.006233,4.984145,4.984145,4.984432,5.002990,
+ 5.002990,5.002990,5.005628,5.006508,5.006508,
+ 5.006508,4.983365,4.983365,4.983365,5.006886,
+ 5.006886,5.006886,5.008002,5.012074,5.012074,
+ 5.012074,5.014099,5.014099,5.014099,6.000000,
+ 6.000000,6.000000,6.000000,6.000000,6.000000/
DATA SCII/3.322208,3.322644,3.633090,3.633257,3.633480,
+ 3.893420,3.893440,4.089184,4.229172,4.229597,
+ 3.436720,3.692591,3.692789,4.589103,3.953149,
+ 3.953178,4.702748,4.702820,3.603431,3.770060,
+ 3.770254,4.440431,4.441056,4.442240,3.961645,
+ 3.961659,4.991754,4.992091,3.992479,3.992479,
+ 3.697579,3.795690,3.796068,4.770876,4.780956,
+ 3.968260,3.968260,3.994325,3.994325,3.754887,
+ 4.893884,4.894430,4.895358,4.896706,4.906213,
+ 4.906944,3.971236,3.971236,3.996578,3.996578,
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+ 5.190205,5.591661,5.735427,5.737656,5.740739,
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+ 6.000000,6.000000,6.000000,6.000000,6.000000,
+ 6.000000,6.000000,6.000000,6.000000,6.000000,
+ 6.000000,6.000000/
DATA SCIII/2.247678,2.511178,2.511298,2.511595,2.783334,
+ 2.988424,2.988601,2.988887,3.040348,3.275480,
+ 2.516355,2.624130,2.770250,2.779440,2.779510,
+ 2.779673,2.913505,2.912204,2.913576,3.001503,
+ 3.471912,3.472452,3.473566,2.656192,3.501991,
+ 2.707107,2.843331,2.843331,2.843447,3.667003,
+ 2.928022,2.928408,2.928967,2.942070,2.942230,
+ 2.942442,2.952919,2.960061,3.725865,3.726323,
+ 3.727023,2.996535,3.802981,3.848412,3.848814,
+ 3.849514,3.907525,3.915897,3.920174,3.920667,
+ 3.921389,4.006182,3.997117,4.006877,2.756046,
+ 4.057183,4.057739,4.058045,4.085242,2.876864,
+ 2.910818,2.910818,2.910818,4.166811,2.957773,
+ 2.957773,2.957773,2.998549,2.998549,2.998583,
+ 2.998549,3.003525,3.005696,3.020441,3.020510,
+ 3.020601,3.088544,2.797248,2.916939,2.968366,
+ 2.968366,2.968366,3.000603,3.000603,3.000640,
+ 3.003372,3.005378,3.009464,3.009464,3.009464,
+ 3.027199,2.830505,2.926040,2.976524,2.976524,
+ 2.976524,3.009360,2.932986,2.982088,2.982088,
+ 2.982088,2.986294,2.986294,2.986294,4.828427,
+ 4.828427,4.828427,5.151012,5.224114,5.224114,
+ 5.227788,5.497263,5.497263,5.502663,5.756044,
+ 5.817122,6.000000,6.000000,6.000000,6.000000,
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+ 6.000000,6.000000,6.000000,6.000000,6.000000,
+ 6.000000,6.000000,6.000000,6.000000,6.000000,
+ 6.000000/
DATA SCIV/1.644934,1.923884,1.924364,1.778341,1.948965,
+ 1.949284,1.998202,1.998312,1.838941,1.962835,
+ 1.963075,1.999589,1.999669,2.001418,2.001418,
+ 1.874532,1.972046,1.972243,2.001394,2.001394,
+ 2.002842,2.002845,2.003133,2.003133,1.897882,
+ 1.978616,1.978616,2.003384,2.003384,2.004821,
+ 2.004821,2.005002,2.005002,2.005023,2.005023,
+ 1.913888,1.984033,1.984033,2.005113,2.005113,
+ 2.007061,2.007061,2.007217,2.007217,2.007234,
+ 2.007234,1.989961,1.989961,2.009654,2.009654,
+ 2.009800,2.009800,2.009800,2.009800,2.009800/
DATASCV/0.6309066,0.7688928,0.9242349,0.9241881,0.9246764,
+ 1.026124,1.003322,1.003322,1.003322,1.020118,
+ 1.021842,1.027042,1.033988,1.051912,1.003001/
DATA SNI/4.931870,5.108953,5.109031,5.204087,5.204087,
+ 5.329969,5.330800,5.331948,5.401419,5.403777,
+ 5.968683,5.969459,5.969806,5.605717,5.641185,
+ 5.641868,5.642995,5.644538,5.662621,5.663186,
+ 5.664362,5.702335,5.703489,5.705897,5.734946,
+ 5.736104,5.797976,5.797737,5.588642,5.591228,
+ 5.594790,5.615995,5.620492,5.980873,5.982464,
+ 5.982872,5.983638,5.985012,5.986994,5.988774,
+ 5.991692,5.990931,5.991989,5.990646,5.995945,
+ 5.996395,5.996926,5.997295,6.001428,6.002394,
+ 5.745163,5.761658,5.762813,5.764937,5.768167,
+ 5.774817,5.775745,5.778173,5.802792,5.696104,
+ 5.699982,5.706142,5.715098,5.722151,5.983984,
+ 5.985277,5.987724,5.991767,5.985780,5.989671,
+ 5.990610,5.994303,5.985830,5.987479,5.992273,
+ 5.996771,5.993288,5.995173,5.998955,6.002261,
+ 6.003886,6.255743,6.257061,6.360914,6.362586,
+ 5.757127,5.763044,5.772635,5.779661,5.791555,
+ 5.984846,5.986194,5.990250,5.997386,5.990476,
+ 5.992170,5.992623,6.000597,5.993189,5.993189,
+ 5.993189,6.000802,5.996590,5.998751,6.003087,
+ 6.005032,6.007153,5.793718,5.804320,5.818227,
+ 5.815205,5.821445,5.989322,5.989322,5.989322,
+ 5.989322,5.992901,5.992901,5.992901,6.003714,
+ 5.994695,5.997311,5.995185,6.008173,6.001116,
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+ 5.821038,5.833978,5.835981,5.835981,5.989852,
+ 5.989852,5.989852,5.989852,5.993398,5.993398,
+ 5.996287,5.996287,6.005342,6.014956,6.015613,
+ 6.015613,6.015613,5.971639,5.971639,5.850568,
+ 5.850568,5.850568,5.990061,5.990061,5.990061,
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+ 5.989390,5.994151,5.994151,6.020563,6.027375,
+ 6.026996,6.026996,6.026996,5.866343,5.866343,
+ 5.874646,5.874646,5.874646,5.990859,5.990859,
+ 5.992667,5.992667,5.994933,5.994933,5.994933,
+ 5.994933,6.030020,6.030020,6.038991,6.038991,
+ 6.038991,5.873279,5.873279,5.877365,5.877365,
+ 5.877365,5.992039,5.992039,5.996431,5.996431,
+ 6.000838,6.000838,6.000838,6.000838,6.039686,
+ 6.039686,6.042562,6.042562,6.042562,6.018730,
+ 5.886326,5.994597,5.994597,6.047575,6.047575,
+ 6.047575,6.078406,6.078406/
DATA SNII/4.048939,4.049242,4.049750,4.145151,4.258360,
+ 4.356432,4.688145,4.688257,4.688270,4.826217,
+ 4.826217,4.826272,5.142618,4.284333,4.284811,
+ 4.286872,4.288557,5.253337,4.532960,4.564950,
+ 4.565974,4.567596,5.379367,4.605227,4.634192,
+ 4.634804,4.635817,4.698180,4.771750,4.928997,
+ 4.930175,4.931792,4.940517,4.947424,4.947905,
+ 4.948512,4.976005,4.977055,4.977624,4.985716,
+ 5.001774,4.517682,4.519204,4.522714,5.167543,
+ 4.688999,4.706267,4.707887,4.710950,4.720615,
+ 4.721386,4.723658,4.732426,4.791679,5.359476,
+ 5.360877,5.362645,4.824183,4.939473,4.941747,
+ 4.944790,4.948400,4.959554,4.960499,4.962098,
+ 4.976268,4.977930,4.978850,4.988034,4.988136,
+ 4.988983,4.989127,4.990716,4.997378,4.997656,
+ 5.001124,4.999108,5.001566,5.001872,5.002052,
+ 5.004650,5.004791,5.510713,5.511550,5.512880,
+ 4.633615,4.635821,4.641956,4.663452,4.970949,
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+ 5.899771,5.900361,5.901458,5.903069,5.905087,
+ 5.975470,5.976437,5.978201,6.162114,7.000000,
+ 7.000000,7.000000,7.000000,7.000000,7.000000,
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+ 7.000000,7.000000/
DATA SNIII/3.264886,3.265738,3.559230,3.555733,3.556163,
+ 3.795859,3.795903,3.971288,4.062202,4.062887,
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+ 4.644671,3.648880,3.649321,3.924340,3.924418,
+ 4.208216,4.209135,4.210838,4.353292,4.355043,
+ 3.749472,4.546074,4.546964,4.554955,4.555551,
+ 4.556746,4.558211,3.785649,3.786211,4.632736,
+ 4.686664,4.687436,4.688480,3.926233,3.926969,
+ 3.987034,3.987034,4.752837,4.754452,4.866728,
+ 4.928826,4.929522,4.930549,4.931964,4.980142,
+ 4.980413,4.980860,4.981436,3.664742,5.015918,
+ 5.016470,5.050785,5.051935,5.052674,5.126587,
+ 5.129026,3.959079,3.959144,5.192320,5.193925,
+ 3.989434,3.989434,4.005147,4.005147,3.968565,
+ 3.968565,3.992409,3.992409,4.006539,4.006539,
+ 5.571515,5.574721,5.580696,6.132490,6.134099,
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+ 6.099411,6.364476,6.365573,6.178216,6.185985,
+ 6.229222,6.316157,6.320952,6.326658,7.000000,
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+ 7.000000,7.000000,7.000000,7.000000,7.000000,
+ 7.000000,7.000000,7.000000/
DATA SNIV/2.226836,2.490623,2.490878,2.491461,2.755431,
+ 2.952339,2.952669,2.953231,3.013266,3.231892,
+ 2.493613,2.749589,2.762857,2.763010,2.763353,
+ 2.901417,2.901452,2.901533,2.994477,3.382731,
+ 3.383611,3.385459,3.472422,3.564919,3.607152,
+ 3.607152,3.608737,3.645438,3.728391,3.728391,
+ 2.639493,3.779903,3.797702,3.799535,3.799535,
+ 3.799535,2.797721,2.797721,2.797721,3.872625,
+ 3.873032,3.873596,3.883205,2.857107,2.934635,
+ 2.934635,2.934635,3.951730,3.952443,3.952443,
+ 2.993446,3.029914,3.030044,3.030246,4.061023,
+ 3.127314,2.880353,2.950477,2.950477,2.950477,
+ 2.998267,2.998267,2.998267,2.959708,2.959708,
+ 2.959708,4.785085,4.873190,4.873190,4.874527,
+ 7.000000,7.000000,7.000000/
DATA SNV/1.634565,1.915400,1.916327,1.771111,1.943796,
+ 1.944398,1.997854,1.998051,1.833396,1.959357,
+ 1.959357,1.999384,1.999384,1.870467,1.969524,
+ 1.969524,2.001982,2.001982,1.895972,1.977561,
+ 1.977561,2.004889,2.004593,2.005843,2.005843,
+ 2.006106,2.006106,2.006106,1.914798,1.983841,
+ 1.983841,2.007186,2.007186,2.008574,2.008574,
+ 2.008797,2.008797,2.008797,2.008797,1.929893,
+ 1.990742,1.990742,2.010469,2.010469,2.011696,
+ 2.011696,2.011930,2.011930,2.011930,2.011930,
+ 2.011930/
DATA SNVI/0.6290283,0.7657156,0.9208641,0.9208946,0.9217644,
+ 0.9074407,1.024314,1.024867/
DATA SOI/5.998809,6.000254,6.000874,6.149045,6.029965,
+ 6.280362,6.354168,6.620857,6.620917,6.621027,
+ 6.681873,6.681856,6.681878,6.554275,6.592577,
+ 6.991942,6.991948,6.991948,6.991953,6.991953,
+ 6.991953,6.994710,6.994710,6.994710,6.749977,
+ 6.750016,6.750087,6.784759,6.784759,6.784759,
+ 7.156593,7.157186,7.157570,6.676266,6.701954,
+ 7.234456,6.993919,6.993919,6.993919,6.993919,
+ 6.993919,6.997045,6.997045,6.997045,6.836974,
+ 6.836974,6.836974,6.746833,6.766088,6.996467,
+ 6.996467,6.996467,6.996467,6.996467,6.999115,
+ 6.999115,6.999115,6.869720,6.869720,6.869720,
+ 6.793480,6.808908,6.999084,6.999084,6.999084,
+ 6.999084,6.999084,7.001479,7.001479,7.001479,
+ 6.826997,6.839929,7.001803,7.001803,7.001803,
+ 7.001803,7.001803,7.003955,7.003955,7.003955,
+ 6.852827,6.864539,7.004705,8.000000,7.004705,
+ 7.004705,7.004705,7.007905,7.007905,7.007905,
+ 6.877349,6.883498,7.007761,7.007761,7.007761,
+ 7.007761,7.007761,7.010591,7.010591,7.010591,
+ 6.890946,6.900387,7.011453,7.011453,7.011453,
+ 7.011453,7.011453,7.012788,7.012788,7.012788,
+ 8.000000,8.000000,8.000000,8.000000,8.000000,
+ 8.000000,8.000000,8.000000,8.000000,8.000000,
+ 8.000000,8.000000,8.000000,8.000000,8.000000,
+ 8.000000,8.000000,8.000000,8.000000,8.000000,
+ 8.000000,8.000000,8.000000,8.000000,8.000000,
+ 8.000000,8.000000,8.000000,8.000000,8.000000,
+ 8.000000,8.000000,8.000000,8.000000,8.000000,
+ 8.000000,8.000000,8.000000,8.000000,8.000000,
+ 8.000000,8.000000,8.000000,8.000000,8.000000,
+ 8.000000,8.000000,8.000000,8.000000,8.000000,
+ 8.000000,8.000000,8.000000,8.000000,8.000000,
+ 8.000000,8.000000,8.000000,8.000000,8.000000,
+ 8.000000,8.000000,8.000000,8.000000/
DATA SOII/4.784610,4.940430,4.940555,5.022952,5.022962,
+ 5.557054,5.558274,5.558889,5.930025,5.929834,
+ 5.160761,5.162283,5.164577,5.214052,5.216705,
+ 6.210938,5.445367,5.490556,5.491464,5.492962,
+ 5.495002,5.494491,5.494507,5.517109,5.517870,
+ 5.519391,5.570158,5.573380,5.580988,6.392210,
+ 6.394130,5.615287,5.616316,5.844496,5.880436,
+ 5.880893,5.904250,5.904674,5.930839,5.931911,
+ 5.933457,5.935489,5.954107,5.955576,5.956912,
+ 5.954453,5.955388,5.959104,5.959794,5.959825,
+ 5.959952,5.960805,5.964087,5.973599,5.975908,
+ 5.993385,5.994448,5.442262,5.445265,5.449878,
+ 5.491284,5.496742,6.232405,5.654758,5.656267,
+ 5.658962,5.662895,5.725537,5.731195,5.738926,
+ 5.741796,6.348958,6.348958,6.373241,6.373322,
+ 6.408604,6.408635,6.419951,6.420006,6.439373,
+ 6.439435,5.943564,5.943564,5.943564,5.947441,
+ 5.961402,5.961402,5.961402,5.961402,6.471051,
+ 5.965786,5.967088,5.967867,5.968222,5.972136,
+ 5.972852,5.978758,6.488330,5.986873,5.991322,
+ 5.986938,5.991353,5.994984,5.994948,5.989273,
+ 5.989404,5.991879,5.997332,5.991945,5.997554,
+ 5.992443,5.994410,6.001196,6.001346,6.002642,
+ 6.003121,6.002740,6.003380,5.576062,5.580966,
+ 5.588796,5.609913,5.619139,6.121709,6.121740,
+ 5.734796,5.734796,5.738977,5.745944,5.750079,
+ 5.750079,5.754774,5.772264,5.781077,5.960446,
+ 5.960446,5.960446,5.960446,5.972282,5.974347,
+ 5.974347,5.980535,5.980535,5.983981,5.987715,
+ 5.990945,5.996456,5.985451,5.986923,5.990890,
+ 6.000214,5.991003,6.000511,5.996286,5.996286,
+ 6.000386,6.002267,6.003636,6.004436,6.003808,
+ 6.004436,6.864734,6.865004,6.865458,6.871479,
+ 6.874276,6.883227,6.883227,6.929313,6.929313,
+ 6.945119,6.945119,6.947771,6.947771,7.214550,
+ 7.214550,6.955942,6.960794,6.960794,6.963802,
+ 6.963802,6.974759,6.974759,6.897856,6.897856,
+ 8.000000,8.000000,8.000000,8.000000,8.000000,
+ 8.000000/
DATA SOIII/3.980091,3.980605,3.981483,4.073126,4.181011,
+ 4.263698,4.567496,2.851461,2.851508,4.688399,
+ 4.688406,4.688483,4.944256,5.004756,5.087306,
+ 4.201648,4.202927,4.205704,4.265077,5.589531,
+ 5.591178,5.591910,4.466920,4.500863,4.502461,
+ 4.505044,4.544430,5.702087,4.576288,4.577272,
+ 4.578837,4.653335,4.743010,4.880211,4.882788,
+ 4.885133,4.883788,4.916797,4.917453,4.918434,
+ 4.946753,4.948285,4.949112,4.978528,4.991553,
+ 5.071567,5.073311,5.091046,6.092469,5.236801,
+ 5.238239,5.240906,4.450987,4.453166,4.458786,
+ 4.490992,5.440957,5.477274,5.477840,5.478956,
+ 5.480584,5.482658,4.640882,4.657492,4.659830,
+ 4.664354,4.689624,5.526725,5.527675,5.529354,
+ 4.742366,4.744359,4.746791,4.755242,4.803841,
+ 5.629193,5.463434,5.633066,5.655169,4.904211,
+ 4.904211,4.904211,4.911571,5.696494,5.696715,
+ 5.697021,4.948280,4.949739,4.951245,4.983719,
+ 4.983719,4.983719,4.985557,4.992922,4.595488,
+ 4.595488,4.595488,4.614187,5.995187,5.995924,
+ 5.997336,6.003933,6.004729,6.005913,6.007472,
+ 6.009368,6.079757,6.079680,6.079593,6.079808,
+ 6.081549,6.087021,6.088523,6.089349,6.127790,
+ 6.130199,6.131379,6.150372,6.152512,6.155484,
+ 4.922875,4.922875,4.922875,4.932409,4.922875,
+ 4.922875,4.922875,4.991952,4.997716,6.251313,
+ 6.251994,6.253141,4.947119,4.974443,4.974443,
+ 4.974443,5.003925,6.782259,6.828280,6.541492,
+ 6.547457,6.555665,6.965416,7.060263,7.160808,
+ 7.160808,7.166230,7.174317,7.185196,7.256399,
+ 7.261456,7.271212,7.771374,7.771374,7.771374,
+ 8.000000,8.000000,8.000000,8.000000,8.000000,
+ 8.000000,8.000000,8.000000,8.000000,8.000000,
+ 8.000000,8.000000,8.000000/
DATA SOIV/3.228562,3.230039,3.508826,3.509360,3.510109,
+ 3.741247,3.741307,3.904661,3.977057,3.978160,
+ 4.214302,4.331145,4.331291,4.503491,4.503533,
+ 3.322590,3.617383,3.618198,4.097019,4.098440,
+ 4.101037,4.249484,4.252384,4.410741,4.412061,
+ 4.420406,4.421309,4.422863,4.425270,4.491520,
+ 4.543003,4.544125,4.545658,4.591770,4.594849,
+ 3.506632,4.717019,4.742457,4.743450,4.744866,
+ 4.746809,4.800908,4.801279,4.801878,4.802707,
+ 4.826727,4.827440,4.856910,4.858391,4.859354,
+ 3.927959,3.928085,4.948471,4.951597,4.995503,
+ 4.997566,5.057139,5.057223,3.602068,5.487784,
+ 5.488193,5.528638,5.529685,3.943577,3.943577,
+ 3.956409,3.956409,5.607411,5.152442,5.155901,
+ 5.162243,5.906104,5.906104,5.285100,5.290775,
+ 3.955026,3.955026,5.325924,5.330538,6.007065,
+ 6.007765,6.023023,6.026014,6.030425,6.132527,
+ 6.133009,5.594399,5.600957,3.969004,3.969004,
+ 5.768017,5.824149,5.824149,5.824149,5.824149,
+ 5.865850,5.865850,5.865850,5.887424,5.890223,
+ 5.900586,5.903125,5.912084,5.919259,5.981793,
+ 5.988238,6.512458,4.040435,4.040435,6.034046,
+ 6.039135,6.592915,6.593322,6.679720,6.679720,
+ 6.679720,6.679720,6.791924,6.791924,6.791924,
+ 7.150804,7.152208,7.208681,8.000000,8.000000,
+ 8.000000,8.000000,8.000000,8.000000,8.000000,
+ 8.000000,8.000000,8.000000,8.000000,8.000000,
+ 8.000000,8.000000,8.000000,8.000000,8.000000,
+ 8.000000,8.000000,8.000000,8.000000,8.000000,
+ 8.000000,8.000000,8.000000,8.000000,8.000000,
+ 8.000000,8.000000,8.000000,8.000000,8.000000,
+ 8.000000,8.000000,8.000000,8.000000,8.000000,
+ 8.000000,8.000000,8.000000,8.000000,8.000000,
+ 8.000000/
DATA SOV/2.212299,2.477108,2.477559,2.478570,2.736373,
+ 2.929941,2.930501,2.931468,2.995396,3.204502,
+ 2.480139,2.586177,2.736415,2.753261,2.753545,
+ 2.754149,2.895501,2.895588,2.895747,2.990361,
+ 3.333698,3.335127,3.338143,3.434917,3.509306,
+ 3.551885,3.553720,3.556629,3.614975,3.666382,
+ 3.667461,3.669268,3.714561,3.738797,3.808601,
+ 3.809227,3.810236,3.840735,3.845908,3.847311,
+ 3.848131,3.893723,3.957266,2.655746,2.780047,
+ 2.842480,2.842480,2.842734,2.867645,2.932266,
+ 2.932352,2.932553,2.996815,3.040747,2.722722,
+ 2.858081,4.369750,4.369750,4.369750,2.990545,
+ 4.293693,4.399677,4.429359,4.432752,4.438707,
+ 4.454041,4.514207,4.514207,4.517767,4.570812,
+ 4.571450,2.913395,2.952782,2.965416,2.965416,
+ 2.965416,4.644915,4.646958,4.649636,2.994349,
+ 4.688903,4.691261,4.692408,4.774586,4.782194,
+ 2.928606,3.022013,3.022013,3.022013,2.997125,
+ 2.933282,2.986425,2.986425,2.986425,5.872365,
+ 5.931636,5.931636,5.931636,6.025977,6.025977,
+ 6.025977,6.090481,6.099398,6.217293,6.217293,
+ 6.217293,6.343698,8.000000,8.000000,8.000000,
+ 8.000000,8.000000,8.000000,8.000000,8.000000/
DATA SOVI/1.626749,1.908750,1.910343,1.765577,1.939605,
+ 1.940666,1.997515,1.997865,1.829541,1.956604,
+ 1.957376,1.999562,1.999822,2.001964,2.002083,
+ 1.867336,1.968342,1.968342,2.001995,2.001995,
+ 1.976059,1.976059,2.004681,2.004681,2.007063,
+ 2.007063,2.007365,2.007365,2.007365,1.914098,
+ 1.982390,1.982390,2.008208,2.008208,2.010369,
+ 2.010369,2.010631,2.010631,2.010631,2.010631,
+ 1.930105,1.987143,1.987143,2.014184,2.014184,
+ 2.014431,2.014431,2.014431,2.014431,2.014431,
+ 2.014965,2.014965/
DATA SOVII/0.6273875,0.7631111,0.9180546,0.9182081,0.9196253,
+ 1.029738,0.9543552,0.9543552,0.9543552,1.004676,
+ 1.004676,1.004676,1.025589,1.027917,1.034432,
+ 1.045346/
*
* Find index for atom and ion, 10*IAT+IZI
*
c IF(IAT.EQ.26.AND.IZI.GE.6.AND.IZI.LE.9) GO TO 260
IF(IAT.GT.2.AND.IAT.LT.6)GO TO 9999
IF(IAT.LT.1.OR.IAT.GT.8)GO TO 9999
IND=10*IAT+IZI
IF(IND.EQ.11) GO TO 11
IF(IND.EQ.21) GO TO 21
IF(IND.EQ.22) GO TO 22
IF(IND.EQ.61) GO TO 61
IF(IND.EQ.61) GO TO 62
IF(IND.EQ.63) GO TO 63
IF(IND.EQ.64) GO TO 64
IF(IND.EQ.65) GO TO 65
IF(IND.EQ.66) GO TO 66
IF(IND.EQ.71) GO TO 71
IF(IND.EQ.72) GO TO 72
IF(IND.EQ.73) GO TO 73
IF(IND.EQ.74) GO TO 74
IF(IND.EQ.75) GO TO 75
IF(IND.EQ.76) GO TO 76
IF(IND.EQ.77) GO TO 77
IF(IND.EQ.81) GO TO 81
IF(IND.EQ.82) GO TO 82
IF(IND.EQ.83) GO TO 83
IF(IND.EQ.84) GO TO 84
IF(IND.EQ.85) GO TO 85
IF(IND.EQ.86) GO TO 86
IF(IND.EQ.87) GO TO 87
IF(IND.EQ.88) GO TO 88
*
* CALCULATING PARTITION FUNCTIONS FOR HYDROGEN
*
11 CALL PARTDV(T,ANE,ZH,MH,NHYD,GHYD,ENHYD,SHYD,U)
GO TO 8888
*
* CALCULATING PARTITION FUNCTIONS FOR HEI
*
21 CALL PARTDV(T,ANE,ZHE,MHEI,NHEL,GHEL,ENHEL,SHEL,U)
GO TO 8888
*
* CALCULATING PARTITION FUNCTIONS FOR HEII
*
22 CALL PARTDV(T,ANE,ZHE,MHEII,NHYD,GHYD,ENHYD,SHYD,U)
GO TO 8888
*
* CALCULATING PARTITION FUNCTIONS FOR CI
*
61 CALL PARTDV(T,ANE,ZC,MCI,NCI,GCI,ENCI,SCI,U)
GO TO 8888
*
* CALCULATING PARTITION FUNCTIONS FOR CII
*
62 CALL PARTDV(T,ANE,ZC,MCII,NCII,GCII,ENCII,SCII,U)
GO TO 8888
*
* CALCULATING PARTITION FUNCTIONS FOR CIII
*
63 CALL PARTDV(T,ANE,ZC,MCIII,NCIII,GCIII,ENCIII,SCIII,U)
GO TO 8888
*
* CALCULATING PARTITION FUNCTIONS FOR CIV
*
64 CALL PARTDV(T,ANE,ZC,MCIV,NCIV,GCIV,ENCIV,SCIV,U)
GO TO 8888
*
* CALCULATING PARTITION FUNCTIONS FOR CV
*
65 CALL PARTDV(T,ANE,ZC,MCV,NCV,GCV,ENCV,SCV,U)
GO TO 8888
*
* CALCULATING PARTITION FUNCTIONS FOR CVI
*
66 CALL PARTDV(T,ANE,ZC,MH,NHYD,GHYD,ENHYD,SHYD,U)
GO TO 8888
*
* CALCULATING PARTITION FUNCTIONS FOR NI
*
71 CALL PARTDV(T,ANE,ZN,MNI,NNI,GNI,ENNI,SNI,U)
GO TO 8888
*
* CALCULATING PARTITION FUNCTIONS FOR NII
*
72 CALL PARTDV(T,ANE,ZN,MNII,NNII,GNII,ENNII,SNII,U)
GO TO 8888
*
* CALCULATING PARTITION FUNCTIONS FOR NIII
*
73 CALL PARTDV(T,ANE,ZN,MNIII,NNIII,GNIII,ENNIII,SNIII,U)
GO TO 8888
*
* CALCULATING PARTITION FUNCTIONS FOR NIV
*
74 CALL PARTDV(T,ANE,ZN,MNIV,NNIV,GNIV,ENNIV,SNIV,U)
GO TO 8888
*
* CALCULATING PARTITION FUNCTIONS FOR NV
*
75 CALL PARTDV(T,ANE,ZN,MNV,NNV,GNV,ENNV,SNV,U)
GO TO 8888
*
* CALCULATING PARTITION FUNCTIONS FOR NVI
*
76 CALL PARTDV(T,ANE,ZN,MNVI,NNVI,GNVI,ENNVI,SNVI,U)
GO TO 8888
*
* CALCULATING PARTITION FUNCTIONS FOR NVII
*
77 CALL PARTDV(T,ANE,ZN,MH,NHYD,GHYD,ENHYD,SHYD,U)
GO TO 8888
*
* CALCULATING PARTITION FUNCTIONS FOR OI
*
81 CALL PARTDV(T,ANE,ZO,MOI,NOI,GOI,ENOI,SOI,U)
GO TO 8888
*
* CALCULATING PARTITION FUNCTIONS FOR OII
*
82 CALL PARTDV(T,ANE,ZO,MOII,NOII,GOII,ENOII,SOII,U)
GO TO 8888
*
* CALCULATING PARTITION FUNCTIONS FOR OIII
*
83 CALL PARTDV(T,ANE,ZO,MOIII,NOIII,GOIII,ENOIII,SOIII,U)
GO TO 8888
*
* CALCULATING PARTITION FUNCTIONS FOR OIV
*
84 CALL PARTDV(T,ANE,ZO,MOIV,NOIV,GOIV,ENOIV,SOIV,U)
GO TO 8888
*
* CALCULATING PARTITION FUNCTIONS FOR OV
*
85 CALL PARTDV(T,ANE,ZO,MOV,NOV,GOV,ENOV,SOV,U)
GO TO 8888
*
* CALCULATING PARTITION FUNCTIONS FOR OVI
*
86 CALL PARTDV(T,ANE,ZO,MOVI,NOVI,GOVI,ENOVI,SOVI,U)
GO TO 8888
*
* CALCULATING PARTITION FUNCTIONS FOR OVII
*
87 CALL PARTDV(T,ANE,ZO,MOVII,NOVII,GOVII,ENOVII,SOVII,U)
GO TO 8888
*
* CALCULATING PARTITION FUNCTIONS FOR OVIII
*
88 CALL PARTDV(T,ANE,ZO,MH,NHYD,GHYD,ENHYD,SHYD,U)
GO TO 8888
C
C
C CALCULATING PARTITION FUNCTIONS FOR FE VI - FE IX
C
C260 CALL PFFE(IZI,T,ANE,U)
8888 CONTINUE
RETURN
9999 U=0
WRITE(*,*)!! INVALID ATOM IN USER SUPPLIED ROUTINE PARTFUN !!
STOP
END
C
C **************************************************************
C
C
SUBROUTINE PARTDV(TEMP,DNE,Z,NLEV,NE,GEE,ENRGY,S,U)
C ===================================================
C
INCLUDE 'PARAMS.FOR'
DIMENSION GEE(*),ENRGY(*),S(*)
INTEGER NE(*)
U=0.0
ET=TEMP/11604.8
P=(14.69D0-0.20-0.6667*LOG10(DNE))
C
DO 10 I=1,NLEV
U1=FLOAT(NE(I))
ZSTAR=Z-S(I)
IF (ZSTAR.GT.0)THEN
W=P+4.*LOG10(ZSTAR)-4.*LOG10(U1)
ELSE
W=0.0
ENDIF
IF (W.GT.1.) W=1.
C
IF ((ENRGY(I)/ET).LT.65.0) THEN
U1=GEE(I)*W*EXP(-ENRGY(I)/ET)
ELSE
U1=0.0
ENDIF
U=U+U1
10 CONTINUE
RETURN
END
C
C **************************************************************
C
subroutine pfni(ion,t,pf,dut,dun)
c =================================
c
c partition functions for Ni IV to Ni IX
c
c this routine interpolates within a grid
c calculated from all levels predicted by
c Kurucz (1992), i.e. over 12,000 levels per ion.
c the partition functions depend only on T !
c (i.e. no level dissolution with increasing density)
c TL 27-DEC-1994, 23-JAN-1995
c
c Output: PF partition function
c DUT d(PF)/dT
c DUN d(PF)/d(ANE) (=0 in this version)
c
implicit double precision (a-h,o-z)
c
dimension g0(6)
dimension p4a(190),p4b(170)
dimension p5a(190),p5b(170)
dimension p6a(190),p6b(170)
dimension p7a(190),p7b(170)
dimension p8a(190),p8b(170)
dimension p9a(190),p9b(170)
parameter (xen=2.302585093,xmil=0.001)
c
data g0/28.,25.,6.,25.,28.,21./
c
data p4a/
. 1.447,1.464,1.482,1.501,1.518,1.535,1.551,1.567,1.582,1.596,
. 1.610,1.623,1.636,1.648,1.659,1.671,1.681,1.692,1.702,1.711,
. 1.721,1.730,1.739,1.748,1.757,1.765,1.774,1.782,1.791,1.799,
. 1.808,1.816,1.824,1.833,1.841,1.850,1.859,1.868,1.877,1.886,
. 1.895,1.905,1.914,1.924,1.934,1.945,1.955,1.966,1.977,1.989,
. 2.000,2.012,2.025,2.037,2.050,2.063,2.077,2.091,2.105,2.119,
. 2.134,2.149,2.164,2.179,2.195,2.211,2.227,2.243,2.260,2.276,
. 2.293,2.310,2.327,2.344,2.362,2.379,2.397,2.414,2.432,2.449,
. 2.467,2.484,2.502,2.519,2.537,2.554,2.571,2.588,2.606,2.623,
. 2.640,2.657,2.674,2.690,2.707,2.723,2.740,2.756,2.772,2.788,
. 2.804,2.819,2.835,2.850,2.866,2.881,2.896,2.911,2.925,2.940,
. 2.954,2.969,2.983,2.997,3.010,3.024,3.038,3.051,3.064,3.077,
. 3.090,3.103,3.116,3.128,3.141,3.153,3.165,3.177,3.189,3.201,
. 3.213,3.224,3.235,3.247,3.258,3.269,3.280,3.291,3.301,3.312,
. 3.322,3.332,3.343,3.353,3.363,3.373,3.382,3.392,3.402,3.411,
. 3.421,3.430,3.439,3.448,3.457,3.466,3.475,3.484,3.492,3.501,
. 3.509,3.518,3.526,3.534,3.542,3.550,3.558,3.566,3.574,3.582,
. 3.589,3.597,3.604,3.612,3.619,3.626,3.634,3.641,3.648,3.655,
. 3.662,3.669,3.676,3.682,3.689,3.696,3.702,3.709,3.715,3.722/
data p4b/
. 3.589,3.597,3.604,3.612,3.619,3.626,3.634,3.641,3.648,3.655,
. 3.662,3.669,3.676,3.682,3.689,3.696,3.702,3.709,3.715,3.722,
. 3.728,3.734,3.740,3.747,3.753,3.759,3.765,3.771,3.777,3.782,
. 3.788,3.794,3.800,3.805,3.811,3.816,3.822,3.827,3.833,3.838,
. 3.843,3.849,3.854,3.859,3.864,3.869,3.874,3.879,3.884,3.889,
. 3.894,3.899,3.904,3.909,3.913,3.918,3.923,3.927,3.932,3.936,
. 3.941,3.945,3.950,3.954,3.959,3.963,3.967,3.972,3.976,3.980,
. 3.984,3.988,3.993,3.997,4.001,4.005,4.009,4.013,4.017,4.021,
. 4.024,4.028,4.032,4.036,4.040,4.043,4.047,4.051,4.055,4.058,
. 4.062,4.065,4.069,4.072,4.076,4.079,4.083,4.086,4.090,4.093,
. 4.097,4.100,4.103,4.107,4.110,4.113,4.116,4.120,4.123,4.126,
. 4.129,4.132,4.135,4.138,4.141,4.144,4.148,4.151,4.154,4.157,
. 4.159,4.162,4.165,4.168,4.171,4.174,4.177,4.180,4.182,4.185,
. 4.188,4.191,4.193,4.196,4.199,4.202,4.204,4.207,4.210,4.212,
. 4.215,4.217,4.220,4.223,4.225,4.228,4.230,4.233,4.235,4.238,
. 4.240,4.243,4.245,4.247,4.250,4.252,4.255,4.257,4.259,4.262,
. 4.264,4.266,4.268,4.271,4.273,4.275,4.278,4.280,4.282,4.284/
data p5a/
. 1.398,1.408,1.427,1.446,1.466,1.486,1.506,1.526,1.545,1.564,
. 1.583,1.601,1.619,1.636,1.652,1.668,1.683,1.698,1.712,1.725,
. 1.738,1.751,1.763,1.775,1.786,1.797,1.808,1.818,1.828,1.837,
. 1.846,1.855,1.864,1.873,1.881,1.889,1.897,1.904,1.912,1.919,
. 1.926,1.933,1.940,1.946,1.953,1.960,1.966,1.972,1.979,1.985,
. 1.991,1.997,2.003,2.009,2.016,2.022,2.028,2.034,2.040,2.046,
. 2.052,2.058,2.065,2.071,2.077,2.084,2.090,2.097,2.103,2.110,
. 2.117,2.124,2.131,2.138,2.145,2.152,2.160,2.167,2.175,2.183,
. 2.191,2.199,2.207,2.216,2.224,2.233,2.241,2.250,2.259,2.268,
. 2.278,2.287,2.297,2.306,2.316,2.326,2.336,2.346,2.356,2.367,
. 2.377,2.387,2.398,2.409,2.419,2.430,2.441,2.452,2.463,2.474,
. 2.485,2.497,2.508,2.519,2.530,2.542,2.553,2.564,2.576,2.587,
. 2.599,2.610,2.621,2.633,2.644,2.655,2.667,2.678,2.689,2.701,
. 2.712,2.723,2.734,2.745,2.757,2.768,2.779,2.790,2.801,2.812,
. 2.822,2.833,2.844,2.855,2.865,2.876,2.886,2.897,2.907,2.918,
. 2.928,2.938,2.948,2.958,2.968,2.978,2.988,2.998,3.008,3.018,
. 3.027,3.037,3.046,3.056,3.065,3.075,3.084,3.093,3.102,3.111,
. 3.120,3.129,3.138,3.147,3.156,3.164,3.173,3.182,3.190,3.198,
. 3.207,3.215,3.223,3.232,3.240,3.248,3.256,3.264,3.272,3.279/
data p5b/
. 3.120,3.129,3.138,3.147,3.156,3.164,3.173,3.182,3.190,3.198,
. 3.207,3.215,3.223,3.232,3.240,3.248,3.256,3.264,3.272,3.279,
. 3.287,3.295,3.303,3.310,3.318,3.325,3.333,3.340,3.347,3.355,
. 3.362,3.369,3.376,3.383,3.390,3.397,3.404,3.411,3.417,3.424,
. 3.431,3.438,3.444,3.451,3.457,3.464,3.470,3.476,3.483,3.489,
. 3.495,3.501,3.507,3.514,3.520,3.526,3.531,3.537,3.543,3.549,
. 3.555,3.561,3.566,3.572,3.578,3.583,3.589,3.594,3.600,3.605,
. 3.610,3.616,3.621,3.626,3.632,3.637,3.642,3.647,3.652,3.657,
. 3.662,3.667,3.672,3.677,3.682,3.687,3.692,3.697,3.701,3.706,
. 3.711,3.716,3.720,3.725,3.729,3.734,3.738,3.743,3.747,3.752,
. 3.756,3.761,3.765,3.769,3.774,3.778,3.782,3.786,3.790,3.795,
. 3.799,3.803,3.807,3.811,3.815,3.819,3.823,3.827,3.831,3.835,
. 3.839,3.843,3.846,3.850,3.854,3.858,3.862,3.865,3.869,3.873,
. 3.876,3.880,3.884,3.887,3.891,3.894,3.898,3.901,3.905,3.908,
. 3.912,3.915,3.918,3.922,3.925,3.929,3.932,3.935,3.939,3.942,
. 3.945,3.948,3.951,3.955,3.958,3.961,3.964,3.967,3.970,3.974,
. 3.977,3.980,3.983,3.986,3.989,3.992,3.995,3.998,4.001,4.004/
data p6a/
. 0.778,0.804,0.817,0.834,0.854,0.876,0.901,0.928,0.957,0.987,
. 1.017,1.048,1.079,1.109,1.139,1.169,1.197,1.225,1.253,1.279,
. 1.304,1.329,1.353,1.376,1.398,1.419,1.440,1.459,1.478,1.497,
. 1.515,1.532,1.548,1.564,1.580,1.594,1.609,1.623,1.636,1.649,
. 1.662,1.674,1.686,1.698,1.709,1.720,1.730,1.740,1.750,1.760,
. 1.769,1.779,1.788,1.796,1.805,1.813,1.821,1.829,1.837,1.845,
. 1.852,1.860,1.867,1.874,1.881,1.888,1.894,1.901,1.907,1.914,
. 1.920,1.926,1.932,1.938,1.944,1.950,1.956,1.962,1.968,1.974,
. 1.979,1.985,1.991,1.996,2.002,2.007,2.013,2.018,2.024,2.029,
. 2.035,2.041,2.046,2.052,2.057,2.063,2.068,2.074,2.080,2.086,
. 2.091,2.097,2.103,2.109,2.115,2.121,2.127,2.133,2.139,2.145,
. 2.152,2.158,2.164,2.171,2.177,2.184,2.190,2.197,2.204,2.211,
. 2.218,2.225,2.232,2.239,2.246,2.253,2.261,2.268,2.276,2.283,
. 2.291,2.298,2.306,2.314,2.322,2.330,2.338,2.346,2.354,2.362,
. 2.370,2.379,2.387,2.395,2.404,2.412,2.420,2.429,2.438,2.446,
. 2.455,2.463,2.472,2.481,2.489,2.498,2.507,2.516,2.524,2.533,
. 2.542,2.551,2.560,2.569,2.577,2.586,2.595,2.604,2.613,2.622,
. 2.631,2.639,2.648,2.657,2.666,2.675,2.683,2.692,2.701,2.710,
. 2.718,2.727,2.736,2.744,2.753,2.761,2.770,2.779,2.787,2.796/
data p6b/
. 2.631,2.639,2.648,2.657,2.666,2.675,2.683,2.692,2.701,2.710,
. 2.718,2.727,2.736,2.744,2.753,2.761,2.770,2.779,2.787,2.796,
. 2.804,2.812,2.821,2.829,2.838,2.846,2.854,2.862,2.871,2.879,
. 2.887,2.895,2.903,2.911,2.919,2.927,2.935,2.943,2.951,2.958,
. 2.966,2.974,2.982,2.989,2.997,3.005,3.012,3.020,3.027,3.035,
. 3.042,3.049,3.057,3.064,3.071,3.078,3.086,3.093,3.100,3.107,
. 3.114,3.121,3.128,3.135,3.141,3.148,3.155,3.162,3.169,3.175,
. 3.182,3.188,3.195,3.202,3.208,3.214,3.221,3.227,3.234,3.240,
. 3.246,3.252,3.259,3.265,3.271,3.277,3.283,3.289,3.295,3.301,
. 3.307,3.313,3.319,3.325,3.330,3.336,3.342,3.348,3.353,3.359,
. 3.364,3.370,3.376,3.381,3.386,3.392,3.397,3.403,3.408,3.413,
. 3.419,3.424,3.429,3.434,3.440,3.445,3.450,3.455,3.460,3.465,
. 3.470,3.475,3.480,3.485,3.490,3.495,3.499,3.504,3.509,3.514,
. 3.518,3.523,3.528,3.533,3.537,3.542,3.546,3.551,3.555,3.560,
. 3.564,3.569,3.573,3.578,3.582,3.586,3.591,3.595,3.599,3.604,
. 3.608,3.612,3.616,3.621,3.625,3.629,3.633,3.637,3.641,3.645,
. 3.649,3.653,3.657,3.661,3.665,3.669,3.673,3.677,3.681,3.685/
data p7a/
. 1.398,1.398,1.398,1.398,1.406,1.425,1.443,1.461,1.480,1.498,
. 1.516,1.534,1.551,1.568,1.585,1.601,1.616,1.631,1.646,1.660,
. 1.674,1.687,1.700,1.712,1.724,1.736,1.747,1.758,1.768,1.778,
. 1.788,1.797,1.806,1.815,1.824,1.832,1.840,1.848,1.855,1.863,
. 1.870,1.877,1.883,1.890,1.896,1.902,1.908,1.914,1.920,1.925,
. 1.931,1.936,1.941,1.946,1.951,1.956,1.960,1.965,1.969,1.974,
. 1.978,1.982,1.986,1.990,1.994,1.998,2.001,2.005,2.009,2.012,
. 2.016,2.019,2.022,2.026,2.029,2.032,2.035,2.038,2.041,2.044,
. 2.047,2.050,2.053,2.056,2.059,2.061,2.064,2.067,2.069,2.072,
. 2.075,2.077,2.080,2.082,2.085,2.088,2.090,2.093,2.095,2.098,
. 2.100,2.103,2.105,2.107,2.110,2.112,2.115,2.117,2.120,2.122,
. 2.125,2.127,2.130,2.132,2.135,2.137,2.140,2.142,2.145,2.148,
. 2.150,2.153,2.155,2.158,2.161,2.163,2.166,2.169,2.172,2.175,
. 2.178,2.180,2.183,2.186,2.189,2.192,2.195,2.198,2.202,2.205,
. 2.208,2.211,2.215,2.218,2.221,2.225,2.228,2.232,2.235,2.239,
. 2.243,2.246,2.250,2.254,2.258,2.261,2.265,2.269,2.273,2.277,
. 2.282,2.286,2.290,2.294,2.299,2.303,2.307,2.312,2.316,2.321,
. 2.325,2.330,2.335,2.339,2.344,2.349,2.354,2.359,2.364,2.369,
. 2.374,2.379,2.384,2.389,2.394,2.399,2.405,2.410,2.415,2.420/
data p7b/
. 2.325,2.330,2.335,2.339,2.344,2.349,2.354,2.359,2.364,2.369,
. 2.374,2.379,2.384,2.389,2.394,2.399,2.405,2.410,2.415,2.420,
. 2.426,2.431,2.437,2.442,2.448,2.453,2.459,2.464,2.470,2.476,
. 2.481,2.487,2.493,2.498,2.504,2.510,2.516,2.521,2.527,2.533,
. 2.539,2.545,2.551,2.556,2.562,2.568,2.574,2.580,2.586,2.592,
. 2.598,2.604,2.610,2.616,2.622,2.628,2.634,2.640,2.646,2.652,
. 2.658,2.664,2.670,2.676,2.682,2.687,2.693,2.699,2.705,2.711,
. 2.717,2.723,2.729,2.735,2.741,2.747,2.753,2.759,2.764,2.770,
. 2.776,2.782,2.788,2.794,2.799,2.805,2.811,2.817,2.823,2.828,
. 2.834,2.840,2.846,2.851,2.857,2.863,2.868,2.874,2.879,2.885,
. 2.891,2.896,2.902,2.907,2.913,2.918,2.924,2.929,2.935,2.940,
. 2.945,2.951,2.956,2.962,2.967,2.972,2.978,2.983,2.988,2.993,
. 2.999,3.004,3.009,3.014,3.019,3.025,3.030,3.035,3.040,3.045,
. 3.050,3.055,3.060,3.065,3.070,3.075,3.080,3.085,3.090,3.095,
. 3.099,3.104,3.109,3.114,3.119,3.123,3.128,3.133,3.138,3.142,
. 3.147,3.152,3.156,3.161,3.165,3.170,3.175,3.179,3.184,3.188,
. 3.193,3.197,3.202,3.206,3.210,3.215,3.219,3.224,3.228,3.232/
data p8a/
. 1.447,1.447,1.447,1.447,1.447,1.447,1.459,1.475,1.489,1.504,
. 1.518,1.531,1.544,1.556,1.568,1.580,1.591,1.602,1.612,1.622,
. 1.631,1.640,1.649,1.658,1.666,1.674,1.682,1.689,1.696,1.703,
. 1.710,1.716,1.722,1.728,1.734,1.740,1.745,1.751,1.756,1.761,
. 1.766,1.770,1.775,1.779,1.784,1.788,1.792,1.796,1.800,1.804,
. 1.807,1.811,1.814,1.818,1.821,1.824,1.827,1.831,1.834,1.836,
. 1.839,1.842,1.845,1.848,1.850,1.853,1.855,1.858,1.860,1.863,
. 1.865,1.867,1.870,1.872,1.874,1.876,1.878,1.880,1.882,1.884,
. 1.886,1.888,1.890,1.892,1.894,1.896,1.898,1.900,1.902,1.903,
. 1.905,1.907,1.909,1.911,1.912,1.914,1.916,1.917,1.919,1.921,
. 1.923,1.924,1.926,1.928,1.929,1.931,1.933,1.934,1.936,1.938,
. 1.939,1.941,1.943,1.945,1.946,1.948,1.950,1.951,1.953,1.955,
. 1.957,1.959,1.960,1.962,1.964,1.966,1.968,1.970,1.971,1.973,
. 1.975,1.977,1.979,1.981,1.983,1.985,1.987,1.989,1.991,1.993,
. 1.995,1.998,2.000,2.002,2.004,2.006,2.009,2.011,2.013,2.015,
. 2.018,2.020,2.023,2.025,2.027,2.030,2.032,2.035,2.037,2.040,
. 2.043,2.045,2.048,2.051,2.053,2.056,2.059,2.062,2.064,2.067,
. 2.070,2.073,2.076,2.079,2.082,2.085,2.088,2.091,2.094,2.097,
. 2.100,2.103,2.107,2.110,2.113,2.116,2.120,2.123,2.126,2.130/
data p8b/
. 2.070,2.073,2.076,2.079,2.082,2.085,2.088,2.091,2.094,2.097,
. 2.100,2.103,2.107,2.110,2.113,2.116,2.120,2.123,2.126,2.130,
. 2.133,2.137,2.140,2.143,2.147,2.151,2.154,2.158,2.161,2.165,
. 2.168,2.172,2.176,2.180,2.183,2.187,2.191,2.195,2.198,2.202,
. 2.206,2.210,2.214,2.218,2.222,2.226,2.230,2.233,2.237,2.241,
. 2.245,2.250,2.254,2.258,2.262,2.266,2.270,2.274,2.278,2.282,
. 2.286,2.291,2.295,2.299,2.303,2.307,2.312,2.316,2.320,2.324,
. 2.329,2.333,2.337,2.341,2.346,2.350,2.354,2.359,2.363,2.367,
. 2.371,2.376,2.380,2.384,2.389,2.393,2.397,2.402,2.406,2.410,
. 2.415,2.419,2.423,2.428,2.432,2.436,2.441,2.445,2.449,2.454,
. 2.458,2.462,2.467,2.471,2.475,2.480,2.484,2.488,2.493,2.497,
. 2.501,2.506,2.510,2.514,2.519,2.523,2.527,2.531,2.536,2.540,
. 2.544,2.548,2.553,2.557,2.561,2.565,2.570,2.574,2.578,2.582,
. 2.586,2.591,2.595,2.599,2.603,2.607,2.611,2.616,2.620,2.624,
. 2.628,2.632,2.636,2.640,2.644,2.648,2.652,2.656,2.661,2.665,
. 2.669,2.673,2.677,2.681,2.685,2.689,2.693,2.696,2.700,2.704,
. 2.708,2.712,2.716,2.720,2.724,2.728,2.732,2.736,2.739,2.743/
data p9a/
. 1.322,1.322,1.322,1.322,1.322,1.322,1.322,1.322,1.322,1.325,
. 1.334,1.342,1.351,1.358,1.366,1.373,1.380,1.386,1.392,1.398,
. 1.404,1.409,1.415,1.420,1.425,1.429,1.434,1.438,1.442,1.446,
. 1.450,1.454,1.457,1.461,1.464,1.467,1.470,1.473,1.476,1.479,
. 1.482,1.485,1.487,1.490,1.492,1.495,1.497,1.499,1.501,1.503,
. 1.505,1.507,1.509,1.511,1.513,1.515,1.517,1.519,1.520,1.522,
. 1.524,1.525,1.527,1.528,1.530,1.531,1.533,1.534,1.535,1.537,
. 1.538,1.539,1.541,1.542,1.543,1.545,1.546,1.547,1.548,1.549,
. 1.551,1.552,1.553,1.554,1.555,1.556,1.558,1.559,1.560,1.561,
. 1.562,1.563,1.565,1.566,1.567,1.568,1.569,1.570,1.571,1.573,
. 1.574,1.575,1.576,1.577,1.579,1.580,1.581,1.582,1.584,1.585,
. 1.586,1.588,1.589,1.590,1.592,1.593,1.594,1.596,1.597,1.599,
. 1.600,1.602,1.603,1.605,1.606,1.608,1.609,1.611,1.612,1.614,
. 1.616,1.617,1.619,1.621,1.622,1.624,1.626,1.628,1.630,1.631,
. 1.633,1.635,1.637,1.639,1.641,1.643,1.645,1.647,1.649,1.651,
. 1.653,1.655,1.657,1.659,1.661,1.664,1.666,1.668,1.670,1.673,
. 1.675,1.677,1.679,1.682,1.684,1.686,1.689,1.691,1.694,1.696,
. 1.699,1.701,1.704,1.706,1.709,1.711,1.714,1.716,1.719,1.722,
. 1.724,1.727,1.729,1.732,1.735,1.738,1.740,1.743,1.746,1.749/
data p9b/
. 1.699,1.701,1.704,1.706,1.709,1.711,1.714,1.716,1.719,1.722,
. 1.724,1.727,1.729,1.732,1.735,1.738,1.740,1.743,1.746,1.749,
. 1.751,1.754,1.757,1.760,1.763,1.765,1.768,1.771,1.774,1.777,
. 1.780,1.783,1.786,1.789,1.792,1.795,1.798,1.801,1.804,1.807,
. 1.810,1.813,1.816,1.819,1.822,1.825,1.828,1.831,1.834,1.837,
. 1.840,1.843,1.847,1.850,1.853,1.856,1.859,1.862,1.865,1.869,
. 1.872,1.875,1.878,1.881,1.884,1.888,1.891,1.894,1.897,1.901,
. 1.904,1.907,1.910,1.913,1.917,1.920,1.923,1.926,1.930,1.933,
. 1.936,1.939,1.943,1.946,1.949,1.952,1.956,1.959,1.962,1.965,
. 1.969,1.972,1.975,1.978,1.982,1.985,1.988,1.992,1.995,1.998,
. 2.001,2.005,2.008,2.011,2.014,2.018,2.021,2.024,2.027,2.031,
. 2.034,2.037,2.040,2.044,2.047,2.050,2.053,2.057,2.060,2.063,
. 2.066,2.070,2.073,2.076,2.079,2.083,2.086,2.089,2.092,2.095,
. 2.099,2.102,2.105,2.108,2.111,2.115,2.118,2.121,2.124,2.127,
. 2.131,2.134,2.137,2.140,2.143,2.146,2.149,2.153,2.156,2.159,
. 2.162,2.165,2.168,2.171,2.175,2.178,2.181,2.184,2.187,2.190,
. 2.193,2.196,2.199,2.202,2.205,2.208,2.212,2.215,2.218,2.221/
c
if(t.lt.12000.) then
pf=g0(ion-3)
dut=0.
dun=0.
return
endif
c
it=int(t/1000)
if(it.ge.350) it=349
t1=1000.*it
t2=t1+1000.
if(ion.eq.4) then
if(t.le.200000.) then
xu1=p4a(it-10)
xu2=p4a(it-9)
else
xu1=p4b(it-180)
xu2=p4b(it-179)
endif
else if(ion.eq.5) then
if(t.le.200000.) then
xu1=p5a(it-10)
xu2=p5a(it-9)
else
xu1=p5b(it-180)
xu2=p5b(it-179)
endif
else if(ion.eq.6) then
if(t.le.200000.) then
xu1=p6a(it-10)
xu2=p6a(it-9)
else
xu1=p6b(it-180)
xu2=p6b(it-179)
endif
else if(ion.eq.7) then
if(t.le.200000.) then
xu1=p7a(it-10)
xu2=p7a(it-9)
else
xu1=p7b(it-180)
xu2=p7b(it-179)
endif
else if(ion.eq.8) then
if(t.le.200000.) then
xu1=p8a(it-10)
xu2=p8a(it-9)
else
xu1=p8b(it-180)
xu2=p8b(it-179)
endif
else if(ion.eq.9) then
if(t.le.200000.) then
xu1=p9a(it-10)
xu2=p9a(it-9)
else
xu1=p9b(it-180)
xu2=p9b(it-179)
endif
endif
c
dxt=xmil*(xu2-xu1)
xu=xu1+(t-t1)*dxt
pf=exp(xen*xu)
dut=xen*pf*dxt
dun=0.
return
end
c
c ******************************************************************
c
C
SUBROUTINE PFHEAV(IIZ,JNION,MODE,t,ane,u)
C =========================================
C
c subset of kurucz's pfsaha for Z>28.
c removed code for Z<28; crp- 28 aug, 1995
C EDITED 27 JULY 1994 BY GMW - REPLACED PT III PF COEFF. AND IP
C MODE 3 RETURNS PARTITION FUNCTION
C
C IMPLICIT REAL*8 (A-H,O-Z)
INCLUDE 'PARAMS.FOR'
REAL*8 IP
PARAMETER (DEBCON=1./2.8965E-18,
* TVCON=8.6171E-5,
* HIONEV=13.595,
* ONE=1.,
* HALF=0.5,
* THIRD=1./3.,
* X18=1./18.,
* X120=1./120.,
* T211=2000./11.)
c
C DIMENSION F(6),
DIMENSION IP(6),PART(6),POTLO(6)
C DIMENSION FSAVE(6)
DIMENSION SCALE(4)
DIMENSION NNN(6*218)
DIMENSION NNN16(54),NNN17(54),NNN18(54),NNN19(54),NNN20(54)
DIMENSION NNN21(54),NNN22(54),NNN23(54),NNN24(54),NNN25(54)
DIMENSION NNN26(54),NNN27(54),NNN28(54),NNN29(54),NNN30(54)
DIMENSION NNN31(54),NNN32(54),NNN33(54),NNN34(54),NNN35(54)
DIMENSION NNN36(54),NNN37(54),NNN38(54),NNN39(54),NNN40(12)
EQUIVALENCE (NNN( 811-810),NNN16(1))
EQUIVALENCE (NNN( 865-810),NNN17(1)),(NNN( 919-810),NNN18(1))
EQUIVALENCE (NNN( 973-810),NNN19(1)),(NNN(1027-810),NNN20(1))
EQUIVALENCE (NNN(1081-810),NNN21(1)),(NNN(1135-810),NNN22(1))
EQUIVALENCE (NNN(1189-810),NNN23(1)),(NNN(1243-810),NNN24(1))
EQUIVALENCE (NNN(1297-810),NNN25(1)),(NNN(1351-810),NNN26(1))
EQUIVALENCE (NNN(1405-810),NNN27(1)),(NNN(1459-810),NNN28(1))
EQUIVALENCE (NNN(1513-810),NNN29(1)),(NNN(1567-810),NNN30(1))
EQUIVALENCE (NNN(1621-810),NNN31(1)),(NNN(1675-810),NNN32(1))
EQUIVALENCE (NNN(1729-810),NNN33(1)),(NNN(1783-810),NNN34(1))
EQUIVALENCE (NNN(1837-810),NNN35(1)),(NNN(1891-810),NNN36(1))
EQUIVALENCE (NNN(1945-810),NNN37(1)),(NNN(1999-810),NNN38(1))
EQUIVALENCE (NNN(2053-810),NNN39(1)),(NNN(2107-810),NNN40(1))
C ( 1)( 2) ( 3)( 4) ( 5)( 6) ( 7)( 8) ( 9)(10) ( IP ) G
DATA NNN16/
1 227027622, 306233052, 356839222, 446052912, 652382292, 763314,
2 108416342, 222428472, 353944332, 577378932, 110314303, 1814900,
3 198724282, 293236452, 468362702, 86511123, 136016073, 3516000,
4 279836622, 461857562, 720693022, 124915873, 192522633, 5600000,
5 262136422, 501167232, 87911303, 138916483, 190721673, 7900000,
6 201620781, 231026761, 314737361, 450555381, 692386911, 772301,
7 109415761, 247938311, 58910042, 190937022, 68311693, 2028903,
8 897195961, 107212972, 165021182, 260230862, 356940532, 3682900,
9 100010001, 100410231, 108712611, 167124841, 388460411, 939102/
DATA NNN17/
1 200020021, 201620761, 223726341, 351352061, 80812472, 1796001,
2 100610471, 122617301, 300566361, 149924112, 332342352, 3970000,
3 403245601, 493151431, 529654331, 559358091, 611065171, 600000,
4 99710051, 104511541, 135016501, 208226431, 321837921, 2050900,
5 199820071, 204521391, 229124761, 266028451, 302932131, 3070000,
6 502665261, 755183501, 901496201, 102410942, 117912812, 787900,
7 422848161, 512153401, 557458941, 636270361, 794489061, 1593000,
8 100010261, 114613921, 175221251, 249828711, 324436181, 3421000,
9 403143241, 491856701, 649173781, 840396751, 113013392, 981000/
DATA NNN18/
1 593676641, 884697521, 105911572, 129515012, 180322212, 1858700,
2 484470541, 91510972, 125614082, 157017612, 199722912, 2829900,
3 630172361, 799686381, 919797221, 102810942, 117712832, 975000,
4 438055511, 691582151, 94510732, 121413672, 152016732, 2150000,
5 651982921, 94610382, 113212492, 139515462, 169718482, 3200000,
6 437347431, 498951671, 538559501, 74710812, 169126672, 1183910,
7 705183611, 93510092, 111614162, 222932532, 427652992, 2160000,
8 510869921, 87410312, 123116552, 236530712, 377744832, 3590000,
9 100010001, 100010051, 105012781, 198535971, 65911422, 1399507/
DATA NNN19/
1 461049811, 522254261, 609088131, 168935052, 68612253, 2455908,
2 759990901, 101911142, 129017782, 302856642, 99414333, 3690000,
3 200020011, 200720361, 211523021, 269434141, 459163351, 417502,
4 100010001, 100110321, 129524961, 61014202, 291753192, 2750004,
5 473650891, 533156051, 66810932, 232950852, 99915303, 4000000,
6 100110041, 104111741, 146019721, 281941411, 607785251, 569202,
7 202621931, 255331271, 384347931, 624085761, 122417632, 1102600,
8 100010001, 100110321, 129524961, 61014202, 291753192, 4300000,
9 791587851, 100012192, 155119942, 254031782, 389946932, 637900/
DATA NNN20/
1 118217102, 220827002, 319036792, 416646512, 513256072, 1223000,
2 92510012, 104710862, 112311612, 120212472, 132814282, 2050000,
3 141320802, 291439702, 531170262, 92712273, 162521053, 684000,
4 354454352, 724689652, 107212643, 148517093, 193321573, 1312900,
5 209727032, 324537052, 415446282, 510255752, 604965222, 2298000,
6 256636022, 465759302, 749693962, 116514243, 171520333, 687900,
7 335157222, 84511463, 147718363, 221826083, 299933893, 1431900,
8 223725352, 280830972, 340937362, 406844002, 473150632, 2503900,
9 703972941, 82610822, 154822682, 327244912, 571469372, 709900/
DATA NNN21/
1 75714552, 274347322, 718897632, 123414913, 174920063, 1614900,
2 267645462, 669890262, 115514323, 173620673, 242528083, 2714900,
3 90613732, 184823562, 291735332, 419949102, 565764332, 728000,
4 131318312, 227126932, 311735452, 397644072, 483852692, 1525900,
5 204721673, 234725733, 284031463, 348738613, 426546943, 3000000,
6 176824122, 318941082, 515263202, 761790472, 106112303, 736400,
7 221934642, 501968372, 88911173, 136316243, 189221613, 1675900,
8 210622722, 241025422, 267928262, 297731272, 327834282, 2846000,
9 148520202, 255230902, 364942462, 489656082, 638872352, 746000/
DATA NNN22/
1 153421292, 288137912, 484660322, 720187062, 101011483, 1807000,
2 254537212, 492362292, 770592182, 107312243, 137615273, 3104900,
3 115919651, 320746011, 607576761, 95011642, 141817172, 832900,
4 755087211, 105913442, 173122222, 282034722, 412247732, 1941900,
5 180223462, 289735212, 414247632, 538460052, 662672472, 3292000,
6 200020001, 200220141, 206422141, 257633021, 455164681, 757403,
7 100810581, 125817401, 260641031, 66210072, 135316982, 2148000,
8 795887491, 97711762, 156620252, 248329422, 340038582, 3481900,
9 100010001, 100410241, 109212891, 176827421, 444268771, 899003/
DATA NNN23/
1 200020021, 201720921, 233329881, 451475371, 127520782, 1690301,
2 100310281, 114815371, 246138311, 519265531, 791492761, 3747000,
3 252431921, 368440461, 433746521, 512259221, 723389021, 578400,
4 100110071, 104611651, 146118581, 225426511, 304734431, 1886000,
5 200120111, 205021611, 243628031, 317035371, 390442701, 2802900,
6 232637101, 488058571, 669074381, 816189091, 97210632, 734200,
7 286335941, 408144471, 479351961, 571862901, 686274341, 1462700,
8 100010251, 114013811, 175321601, 256829751, 338337901, 3049000,
9 404043481, 494656811, 646772781, 813490751, 101411372, 863900/
DATA NNN24/
1 303147981, 618472951, 827392621, 103711702, 131214532, 1650000,
2 313037601, 429347901, 536260591, 689477591, 862494881, 2529900,
3 526258801, 657372351, 784284071, 897095741, 102711082, 900900,
4 440855541, 686481251, 93810792, 125414792, 176321132, 1860000,
5 349054751, 699883081, 96611302, 134216202, 197724212, 2800000,
6 405342041, 438645621, 475751071, 587974491, 102214572, 1045404,
7 568567471, 773485861, 94510362, 112712182, 130914002, 1909000,
8 514269581, 86910562, 130716652, 215327742, 351843662, 3200000,
9 100010001, 100010091, 109515351, 291060661, 119621482, 1212716/
DATA NNN25/
1 414844131, 465649111, 538464651, 87112232, 158019362, 2120000,
2 615475101, 867797531, 112213462, 157618062, 203622662, 3209900,
3 200020001, 201020501, 215623871, 283536181, 462756261, 389300,
4 100010001, 100310371, 119016501, 269146361, 77912412, 2510000,
5 424445601, 481750061, 516953311, 549356551, 581759791, 3500000,
6 101210791, 135119351, 282340571, 574580391, 111015062, 521002,
7 262638611, 504160621, 698579371, 91010692, 129115952, 1000000,
8 100010001, 100310351, 118416321, 264945521, 76512182, 3700000,
9 71111992, 172323592, 312540402, 510763182, 765791012, 558000/
DATA NNN26/
1 204529582, 383647882, 582469262, 807992692, 104911723, 1106000,
2 94712552, 148416582, 179819212, 203621522, 227424042, 1916900,
3 295959132, 103515693, 215527593, 335939413, 449650223, 565000,
4 79718153, 289639443, 495159253, 686877533, 863794813, 1085000,
5 298640242, 475053692, 596965912, 725379692, 872094692, 2008000,
6 460693672, 158523823, 327242303, 519661563, 709379783, 541900,
7 455480232, 114014653, 178521013, 240927073, 299232633, 1055000,
8 46410533, 183826893, 354443773, 518459633, 674375243, 2320000,
9 139623042, 364860002, 96114603, 209828633, 373446973, 549000/
DATA NNN27/
1 460493692, 158523823, 327142303, 519661563, 709279783, 1073000,
2 455480232, 114014653, 178521013, 240927073, 299232633, 2000000,
3 131720482, 280535692, 441254492, 676583972, 103412583, 555000,
4 139623042, 364860002, 96114603, 209828633, 373446973, 1089900,
5 460493682, 158523823, 327142303, 519661563, 709279783, 2000000,
6 92915672, 222431062, 444763802, 89612173, 159520253, 562900,
7 315059662, 97114563, 204627093, 342541693, 490556383, 1106900,
8 269037812, 520270372, 91111273, 133915483, 172719093, 2000000,
9 800080571, 851699301, 127617362, 240433032, 444958442, 568000/
DATA NNN28/
1 125416052, 211828182, 375549622, 644381732, 101112213, 1125000,
2 800080571, 851699301, 127617362, 240433032, 444958442, 2000000,
3 240432982, 427555202, 708489962, 112613853, 167319843, 615900,
4 534793262, 139219123, 247730843, 371043333, 495055893, 1210000,
5 364145232, 514756362, 604864112, 673870372, 732276072, 2000000,
6 480767202, 89011393, 144118243, 230028753, 354142883, 584900,
7 480767192, 89011393, 144118243, 230028753, 354142883, 1151900,
8 480767202, 89011393, 144118243, 230028753, 354142883, 2000000,
9 343147532, 645887152, 115314793, 183322063, 257729373, 593000/
DATA NNN29/
1 343147532, 645887142, 115314793, 183322063, 257729373, 1167000,
2 343147532, 645887142, 115314793, 183322063, 257729373, 2000000,
3 222635002, 542276772, 100312353, 145716713, 187020703, 602000,
4 222635002, 542276772, 100312353, 145716713, 187020703, 1180000,
5 222635002, 542276772, 100312353, 145716713, 187020703, 2000000,
6 133715382, 209130152, 429859382, 79410293, 129815983, 609900,
7 265934782, 497877532, 120517733, 245032063, 400448073, 1193000,
8 265934782, 497877532, 120517733, 245032063, 400448073, 2000000,
9 800381111, 87510702, 147621462, 310343462, 585475982, 618000/
DATA NNN30/
1 156718872, 279244452, 678196342, 128316243, 197823443, 1205000,
2 93517192, 364666132, 103414613, 192624193, 293334613, 2370000,
3 100010011, 101310651, 118613951, 169120661, 250629971, 625000,
4 200120901, 270345231, 81714042, 223533112, 461959862, 1217000,
5 100312561, 250851931, 91914182, 198626022, 323638692, 2000000,
6 514664441, 759086851, 99211442, 133315612, 182721252, 609900,
7 125924831, 438667801, 98714112, 199727872, 380850742, 1389900,
8 323948621, 661297271, 158626482, 426865032, 93712843, 1900000,
9 659294081, 128016962, 222528952, 372047062, 585171462, 700000/
DATA NNN31/
1 99117882, 274638812, 520867322, 84410313, 123314453, 1489900,
2 187427702, 343739872, 448049452, 539358282, 625266642, 2329900,
3 65210892, 171325762, 373552252, 705192012, 116414343, 787900,
4 192837842, 600784802, 111113823, 165419233, 218524383, 1620000,
5 99117872, 274638812, 520867312, 84410313, 123314453, 2400000,
6 398981651, 130019172, 273438022, 516168382, 88411163, 797900,
7 131429482, 523279952, 111414623, 183422233, 262130233, 1770000,
8 192837842, 600784792, 111113823, 165419233, 218524383, 2500000,
9 600963001, 75910412, 150121572, 301940972, 539168952, 787000/
DATA NNN32/
1 73710852, 190731262, 464964142, 83810503, 127315053, 1660000,
2 131429482, 523279952, 111414623, 183422233, 262130233, 2600000,
3 110815502, 216829732, 398752322, 672484682, 104612673, 850000,
4 168225972, 362046562, 566766422, 757484612, 93010103, 1700000,
5 73710852, 190731262, 464964142, 83810503, 127315053, 2700000,
6 129117892, 239430882, 388748292, 596173252, 89510843, 910000,
7 110815502, 216829732, 398752322, 672484682, 104612673, 2000000,
8 168225972, 362046562, 566766422, 757484612, 93010103, 2800000,
9 158918512, 207523002, 254328242, 316335762, 407246582, 900000/
DATA NNN33/
1 98115462, 224930742, 401150612, 623475412, 89910583, 1855900,
C 2 110815502, 216829732, 398752322, 672484682, 104612673, 2900000,
2 146323292, 354651802, 74810923, 161723953, 348749363, 3322700,
3 203222611, 265731251, 364042301, 494958601, 702084731, 922000,
4 120521331, 357753801, 75310062, 130516572, 206925452, 2050000,
5 651780821, 108814772, 195925252, 316338622, 460853882, 3000000,
6 100010001, 100110111, 105211851, 152122101, 341552811, 1043002,
7 200320211, 210023021, 268834231, 480472341, 111416912, 1875000,
8 104012871, 186129471, 458664151, 82410072, 119013732, 3420000,
9 200420711, 222424271, 265429161, 325637371, 442853911, 610500/
DATA NNN34/
1 100010021, 101910801, 121414641, 189525811, 358949721, 2041900,
2 200020311, 216624611, 296337451, 489064791, 85711212, 2979900,
3 103411711, 147819101, 244331781, 434862751, 93113762, 741404,
4 204122231, 248227841, 311535621, 429153941, 651976431, 1502800,
5 100210131, 106812201, 154522671, 381665951, 95512512, 3192900,
6 400140351, 416944121, 474851591, 564362181, 690477231, 728700,
7 106814451, 204427341, 350744811, 586879131, 108314772, 1667900,
8 205523051, 264830231, 345439921, 469156001, 675281671, 2555900,
9 500950661, 518153561, 559058941, 628968071, 748483501, 843000/
DATA NNN35/
1 443756241, 696282451, 95411012, 128615262, 182922012, 1900000,
2 336953201, 682481011, 93810882, 127915272, 184622442, 2700000,
3 402841621, 431544771, 463148311, 520059491, 734896851, 930000,
4 576168741, 788387631, 96910642, 116012552, 135014462, 2000000,
5 490265341, 812797201, 116614322, 179622692, 285035302, 2900000,
6 100010001, 100010031, 102311051, 133018071, 264539391, 1074500,
7 402841621, 431544771, 463148311, 520059491, 734996851, 2000000,
8 576168741, 788387631, 96910642, 116012552, 135014462, 3000000,
9 200020011, 201220591, 218124481, 296538611, 488859141, 400000/
DATA NNN36/
1 100010001, 100010031, 102311051, 133018071, 264539401, 2200000,
2 421645151, 477449611, 511852711, 542455761, 572958821, 3300000,
3 100010041, 105212131, 153220271, 270435641, 460258111, 527600,
4 201221791, 258131471, 381645781, 546365131, 777592781, 1014400,
5 100010001, 100010031, 102311051, 133018071, 264539391, 3400000,
6 510064491, 82710872, 142718412, 232328712, 348341572, 690000,
7 228951571, 88513232, 183324132, 305537492, 448152402, 1210000,
8 723989131, 103511752, 130814352, 155416652, 177018682, 2000000,
9 620099241, 162725772, 391457072, 80110833, 141818023, 600000/
DATA NNN37/
1 620099241, 162725772, 391457072, 80110833, 141818023, 1200000,
2 620099251, 162725772, 391457072, 80110833, 141818023, 2000000,
3 347877992, 129318323, 240730533, 380546863, 570368573, 600000,
4 347877992, 129318323, 240730533, 380546863, 570368573, 1200000,
5 347777992, 129318323, 240730533, 380546863, 570368573, 2000000,
6 209530092, 450866762, 96613623, 186524763, 318839893, 600000,
7 209530092, 450866762, 96613623, 186524763, 318839893, 1200000,
8 209530092, 450866762, 96613623, 186524763, 318839893, 2000000,
9 209530092, 450866762, 96613623, 186524763, 318839893, 600000/
DATA NNN38/
1 209530092, 450866762, 96613623, 186524763, 318839893, 1200000,
2 209530092, 450866762, 96613623, 186524763, 318839893, 2000000,
3 209530092, 450866762, 96613623, 186524763, 318839893, 600000,
4 209530092, 450866762, 96613623, 186524763, 318839893, 1200000,
5 209530092, 450866762, 96613623, 186524763, 318839893, 2000000,
6 209530092, 450866762, 96613623, 186524763, 318839893, 600000,
7 209530092, 450866762, 96613623, 186524763, 318839893, 1200000,
8 209530092, 450866762, 96613623, 186524763, 318839893, 2000000,
9 209530092, 450866762, 96613623, 186524763, 318839893, 600000/
DATA NNN39/
1 209530092, 450866762, 96613623, 186524763, 318839893, 1200000,
2 209530092, 450866762, 96613623, 186524763, 318839893, 2000000,
3 209530092, 450866762, 96613623, 186524763, 318839893, 600000,
4 209530092, 450866762, 96613623, 186524763, 318839893, 1200000,
5 209530092, 450866762, 96613623, 186524763, 318839893, 2000000,
6 209530092, 450866762, 96613623, 186524763, 318839893, 600000,
7 209530092, 450866762, 96613623, 186524763, 318839893, 1200000,
8 209530092, 450866762, 96613623, 186524763, 318839893, 2000000,
9 209530092, 450866762, 96613623, 186524763, 318839893, 600000/
DATA NNN40/
1 209530092, 450866762, 96613623, 186524763, 318839893, 1200000,
2 209530092, 450866762, 96613623, 186524763, 318839893, 2000000/
DATA SCALE/.001,.01,.1,1./
C
if(mode.lt.0) return
tk=1.38054d-16*t
tv=8.6171d-5*t
C LOWERING OF THE IONIZATION POTENTIAL IN VOLTS FOR UNIT ZEFF
CHARGE=ANE*2.
DEBYE=SQRT(TK*DEBCON/CHARGE)
C DEBYE=SQRT(TK/12.5664/4.801E-10**2/CHARGE)
POTLOW=MIN(1.D0,1.44E-7/DEBYE)
IF(IIZ.LE.28)then
write(6,*) 'Error, routine PFHEAV for Z.GE.28 only'
stop23
endif
c removed elements with z<28
if(iiz.eq.28) n=1
IF(IIZ.GT.28) N=3*IIZ+54-135
IF(IIZ.eq.28) NIONS=4
IF(IIZ.GT.28) NIONS=3
NION2=MIN0(JNION+2,NIONS)
N=N-1
C
DO 18 ION=1,NION2
Z=ION
POTLO(ION)=POTLOW*Z
N=N+1
nnn6n=nnn(6+6*(N-1))
c nnn6n=nnn(6,n)
NNN100=NNN6N/100
XN1= NNN100
IP(ION)=XN1*1.e-3
IG=NNN6N-NNN100*100
GGG=IG
T2000=IP(ION)*T211
IT=MAX0(1,MIN0(9, INT(T/T2000-HALF)))
XIT=IT
DT=T/T2000-XIT-HALF
PMIN=ONE
I=(IT+1)/2
nnnin=nnn(i+6*(N-1))
c nnnin=nnn(i,n)
K1=NNNIN/100000
K2=NNNIN-K1*100000
K3=K2/10
xk1=k1
xk3=k3
KSCALE=K2-K3*10
IF(MOD(IT,2).EQ.0)GO TO 12
P1=XK1*SCALE(KSCALE)
P2=XK3*SCALE(KSCALE)
IF(DT.GE.0.)GO TO 13
IF(KSCALE.GT.1)GO TO 13
KP1=int(P1)
IF(KP1.NE. INT(P2+.5))GO TO 13
PMIN=KP1
GO TO 13
12 continue
xk3=k3
P1=XK3*SCALE(KSCALE)
nnni1n=nnn(i+1+6*(N-1))
c nnni1n=nnn(i+1,n)
K1=NNNI1N/100000
KSCALE=MOD(NNNI1N,10)
xk1=k1
P2=XK1*SCALE(KSCALE)
13 PART(ION)= MAX (PMIN,P1+(P2-P1)*DT)
IF(GGG.EQ.0..OR.POTLO(ION).LT..1.OR.T.LT.T2000*4.)GO TO 18
IF(T.GT.(T2000*11.)) TV=(T2000*11.)*TVCON
D1=.1/TV
D2=POTLO(ION)/TV
DX=SQRT(HIONEV*Z*Z/TV/D2)**3
PART(ION)=PART(ION)+GGG*EXP(-IP(ION)/TV)*
* (DX*(THIRD+(ONE-(HALF+(X18+D2*X120)*D2)*D2)*D2)-
* DX*(THIRD+(ONE-(HALF+(X18+D1*X120)*D1)*D1)*D1))
18 CONTINUE
u=part(jnion)
RETURN
END
c
c ******************************************************************
c
subroutine frac1
c ================
c
include 'PARAMS.FOR'
include 'MODELP.FOR'
parameter (mtemp=100,melec=60,mion1=30)
dimension xxt(mdepth),xxe(mdepth)
dimension kt0(mdepth),kn0(mdepth)
common/fracop/frac(mtemp,melec,mion1),fracm(mtemp,melec),
* itemp(mtemp),ntt
c
do id=1,nd
xxt(id)=dlog10(temp(id))
kt0(id)=2*int(20.*xxt(id))
xxe(id)=dlog10(elec(id))
kn0(id)=int(2.*xxe(id))
end do
c
DO 20 IAT=1,30
iatnum=iat
call fractn(iatnum)
if(iatnum.le.0) goto 20
do id=1,nd
if(kt0(id).lt.itemp(1)) then
kt1=1
write(6,611) id,temp(id)
611 format(' (FRACOP) Extrapol. in T (low)',i4,f7.0)
goto 41
endif
if(kt0(id).ge.itemp(ntt)) then
kt1=ntt-1
write(6,612) id,temp(id)
612 format(' (FRACOP) Extrapol. in T (high)',i4,f12.0)
goto 41
endif
do 40 it=1,ntt
if(kt0(id).eq.itemp(it)) then
kt1=it
goto 41
endif
40 continue
41 continue
if(kn0(id).lt.1) then
kn1=1
goto 49
endif
if(kn0(id).ge.60) then
kn1=59
write(6,614) id,xxe(id)
614 format(' (FRACOP) Extrapol. in Ne (high)',i4,f9.4)
goto 49
endif
kn1=kn0(id)
49 continue
xt1=0.025*itemp(kt1)
dxt=0.05
at1=(xxt(id)-xt1)/dxt
xn1=0.5*kn1
dxn=0.5
an1=(xxe(id)-xn1)/dxn
do ion=1,mion1
x11=frac(kt1,kn1,ion)
x21=frac(kt1+1,kn1,ion)
x12=frac(kt1,kn1+1,ion)
x22=frac(kt1+1,kn1+1,ion)
x1221=x11*x21*x12*x22
if(x1221.eq.0.) then
xx1=x11+at1*(x21-x11)
xx2=x12+at1*(x22-x12)
rrx=xx1+an1*(xx2-xx1)
else
x11=dlog10(x11)
x21=dlog10(x21)
x12=dlog10(x12)
x22=dlog10(x22)
xx1=x11+at1*(x21-x11)
xx2=x12+at1*(x22-x12)
rrx=xx1+an1*(xx2-xx1)
rrx=exp(2.3025851*rrx)
endif
rrr(id,ion,iat)=rrx*abndd(iat,id)*
* dens(id)/wmm(id)/ytot(id)
end do
end do
20 CONTINUE
c
return
end
c
c ******************************************************************
c
subroutine fractn(iatnum)
c =========================
c
implicit double precision (a-h,o-z)
parameter (mtemp=100,
* melec= 60,
* mion1=30,
* mdat = 17)
parameter (inp=71)
dimension frac0(-1:mion1),ioo(-1:mion1),idat(mion1)
dimension gg(mion1,mdat),g0(mion1),z0(-1:mion1)
dimension uu(mion1,mdat),u0(mion1)
dimension u6(6),u7(7),u8(8),u10(10),u11(11)
dimension u12(12),u13(13),u14(14),u16(16),u18(18),u20(20)
dimension u24(24),u25(25),u26(26),u28(28)
equivalence (u6(1),uu(1,3)),(u7(1),uu(1,4)),(u8(1),uu(1,5))
equivalence (u10(1),uu(1,6)),(u11(1),uu(1,7)),(u12(1),uu(1,8))
equivalence (u13(1),uu(1,9)),(u14(1),uu(1,10)),(u16(1),uu(1,11))
equivalence (u18(1),uu(1,12)),(u20(1),uu(1,13)),(u24(1),uu(1,14))
equivalence (u25(1),uu(1,15)),(u26(1),uu(1,16)),(u28(1),uu(1,17))
common/fracop/frac(mtemp,melec,mion1),fracm(mtemp,melec),
* itemp(mtemp),ntt
data idat / 1, 2, 0, 0, 0, 3, 4, 5, 0, 6,
* 7, 8, 9,10, 0,11, 0,12, 0,13,
* 0, 0, 0,14,15,16, 0,17, 0, 0/
data gg/2.,29*0.,2.,1.,28*0.,
* 2.,1.,2.,1.,6.,9.,24*0.,2.,1.,2.,1.,6.,9.,4.,23*0.,
* 2.,1.,2.,1.,6.,9.,4.,9.,22*0.,
* 2.,1.,2.,1.,6.,9.,4.,9.,6.,1.,20*0.,
* 2.,1.,2.,1.,6.,9.,4.,9.,6.,1.,2.,19*0.,
* 2.,1.,2.,1.,6.,9.,4.,9.,6.,1.,2.,1.,18*0.,
* 2.,1.,2.,1.,6.,9.,4.,9.,6.,1.,2.,1.,6.,17*0.,
* 2.,1.,2.,1.,6.,9.,4.,9.,6.,1.,2.,1.,6.,9.,16*0.,
* 2.,1.,2.,1.,6.,9.,4.,9.,6.,1.,2.,1.,6.,9.,4.,9.,14*0.,
* 2.,1.,2.,1.,6.,9.,4.,9.,6.,1.,2.,1.,6.,9.,4.,9.,6.,1.,
* 12*0.,2.,1.,2.,1.,6.,9.,4.,9.,6.,1.,2.,1.,6.,9.,4.,9.,
* 6.,1.,2.,1.,10*0.,2.,1.,2.,1.,6.,9.,4.,9.,6.,1.,2.,1.,
* 6.,9.,4.,9.,6.,1.,10.,21.,28.,25.,6.,7.,6*0.,
* 2.,1.,2.,1.,6.,9.,4.,9.,6.,1.,2.,1.,6.,9.,4.,9.,
* 6.,1.,10.,21.,28.,25.,6.,7.,6.,5*0.,
* 2.,1.,2.,1.,6.,9.,4.,9.,6.,1.,2.,1.,6.,9.,4.,9.,
* 6.,1.,10.,21.,28.,25.,6.,25.,30.,25.,4*0.,
* 2.,1.,2.,1.,6.,9.,4.,9.,6.,1.,2.,1.,6.,9.,4.,9.,
* 6.,1.,10.,21.,28.,25.,6.,25.,28.,21.,10.,21.,0.,0./
data uu(1,1)/109.6787/
data uu(1,2)/198.3108/
data uu(2,2)/438.9089/
data u6/90.82,196.665,386.241,520.178,3162.395,3952.061/
data u7/117.225,238.751,382.704,624.866,789.537,4452.758,5380.089/
data u8/109.837,283.24,443.086,624.384,918.657,1114.008,5963.135,
* 7028.393/
data u10/173.93,330.391,511.8,783.3,1018.,1273.8,1671.792,
* 1928.462,9645.005,10986.876/
data u11/41.449,381.395,577.8,797.8,1116.2,1388.5,1681.5,2130.8,
* 2418.7,11817.061,13297.676/
data u12/61.671,121.268,646.41,881.1,1139.4,1504.3,1814.3,2144.7,
* 2645.2,2964.4,14210.261,15829.951/
data u13/48.278,151.86,229.446,967.8,1239.8,1536.3,1947.3,2295.4,
* 2663.4,3214.8,3565.6,16825.022,18584.138/
data u14/65.748,131.838,270.139,364.093,1345.1,1653.9,1988.4,
* 2445.3,2831.9,3237.8,3839.8,4222.4,19661.693,21560.63/
data u16/83.558,188.2,280.9,381.541,586.2,710.184,2265.9,2647.4,
* 3057.7,3606.1,4071.4,4554.3,5255.9,5703.6,26002.663,
* 28182.535/
data u18/127.11,222.848,328.6,482.4,605.1,734.04,1002.73,1157.08,
* 3407.3,3860.9,4347.,4986.6,5533.8,6095.5,6894.2,7404.4,
* 33237.173,35699.936/
data u20/49.306,95.752,410.642,542.6,681.6,877.4,1026.,1187.6,
* 1520.64,1704.047,4774.,5301.,5861.,6595.,7215.,7860.,
* 8770.,9338.,41366.,44177.41/
data u24/54.576,132.966,249.7,396.5,560.2,731.02,1291.9,1490.,
* 1688.,1971.,2184.,2404.,2862.,3098.52,8151.,8850.,
* 9560.,10480.,11260.,12070.,13180.,13882.,60344.,63675.9/
data u25/59.959,126.145,271.55,413.,584.,771.1,961.44,1569.,
* 1789.,2003.,2307.,2536.,2771.,3250.,3509.82,9152.,
* 9872.,10620.,11590.,12410.,13260.,14420.,15162.,
* 65660.,69137.4/
data u26/63.737,130.563,247.22,442.,605.,799.,1008.,1218.38,
* 1884.,2114.,2341.,2668.,2912.,3163.,3686.,3946.82,
* 10180.,10985.,11850.,12708.,13620.,14510.,15797.,
* 16500.,71203.,74829.6/
data u28/61.6,146.542,283.8,443.,613.5,870.,1070.,1310.,1560.,
* 1812.,2589.,2840.,3100.,3470.,3740.,4020.,4606.,
* 4896.2,12430.,13290.,14160.,15280.,16220.,17190.,
* 18510.,19351.,82984.,86909.4/
c
if(idat(iatnum).eq.0) then
write(6,600) iatnum
600 format(' OP data for element no. ',i3,' do not exist')
iatnum=-1
return
end if
c
g0(iatnum+1)=1.
do i=1,iatnum
ig0=iatnum-i+1
g0(ig0)=gg(i,idat(iatnum))
u0(i)=uu(i,idat(iatnum))*1000.
enddo
c
if(iatnum.eq.1) open(inp,file='ioniz.dat',status='old')
do 10 it=1,mtemp
do 10 ie=1,melec
fracm(it,ie)=0.
do 10 ion=1,mion1
frac(it,ie,ion)=0.
10 continue
c
read(inp,*)
read(inp,*) it0,it1,itstp
ntt=(it1-it0)/itstp+1
c
do it=1,ntt
read(inp,*) itt,ie0,ie1,iestp
itemp(it)=itt
net=(ie1-ie0)/iestp+1
t=exp(2.3025851*0.025*itt)
safac0=sqrt(t)*t/2.07d-16
tkcm=0.69496*t
do ie=1,net
read(inp,601) iee,ion0,ion1,
* (ioo(i),frac0(i),i=ion0,min(ion1,ion0+3))
ane=exp(2.3025851*0.25*iee)
safac=safac0/ane
nio=ion1-ion0
if(nio.ge.3) then
nlin=nio/4
do ilin=1,nlin
read(inp,602) (ioo(i),frac0(i),
* i=ion0+4*ilin,min(ion1,ion0+4*ilin+3))
end do
end if
ieind=iee/2
do ion=ion0,ion1
if(ion.lt.iatnum) then
if(ion.eq.ion0) then
z0(ion)=g0(iatnum-ion)
else
z0(ion)=frac0(ion)/frac0(ion-1)*safac*z0(ion-1)
z0(ion)=z0(ion)*exp(-u0(iatnum-ion)/tkcm)
endif
frac(it,ieind,iatnum-ion)=frac0(ion)/z0(ion)
else
u0hm=6090.5
z0hm=frac0(ion)/frac0(ion-1)*safac
z0hm=z0hm*exp(-u0hm/tkcm)
fracm(it,ieind)=frac0(ion)/z0hm
end if
end do
end do
end do
601 format(3i4,2x,4(i4,1x,e9.3))
602 format(14x,4(i4,1x,e9.3))
return
end
C
C
C *******************************************************************
C
C
SUBROUTINE DWNFR0(ID)
C =====================
C
C Auxiliary quantities for dissolved fractions
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
PARAMETER (UN=1.,SIXTH=UN/6.,CCOR=0.09)
parameter (p1=0.1402,p2=0.1285,p3=un,p4=3.15,p5=4.)
parameter (f23=-2./3.)
C
ANE=ELEC(ID)
ELEC23(ID)=EXP(F23*LOG(ANE))
ANES=EXP(SIXTH*LOG(ANE))
ACOR=CCOR*ANES/SQRT(TEMP(ID))
X=EXP(P4*LOG(UN+P3*ACOR))
DWC2(ID)=P2*X
A3=ACOR*ACOR*ACOR
DO 10 IZZ=1,MZZ
Z3(IZZ)=IZZ*IZZ*IZZ
DWC1(IZZ,ID)=P1*(X+P5*(IZZ-1.)*A3)
10 CONTINUE
RETURN
END
C
C
C ********************************************************************
C
C
SUBROUTINE DWNFR1(FR,FR0,ID,IZZ,DW1)
C ====================================
C
C dissolved fraction for frequency FR
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
PARAMETER (UN=1.,TKN=3.01,CKN=5.33333333,CB=8.59d14)
PARAMETER (SQFRH=5.734152D7)
parameter (a0=0.529177e-8,wa0=-3.1415926538/6.*a0*a0*a0)
C
IF(FR.LT.FR0) THEN
XN=SQFRH*IZZ/SQRT(FR0-FR)
if(xn.le.tkn) then
xkn=un
else
xn1=un/(xn+un)
xkn=ckn*xn*xn1*xn1
end if
BETA=CB*Z3(IZZ)*XKN/(XN*XN*XN*XN)*ELEC23(ID)
beta=beta*bergfc
BETA3=BETA*BETA*BETA
BETA32=SQRT(BETA3)
F=(DWC1(IZZ,ID)*BETA3)/(UN+DWC2(ID)*BETA32)
c
c contribution from neutral particles
c
xn2=xn*xn+un
xnh=0.
xnhe1=0.
if(ielh.gt.0) xnh=popul(nfirst(ielh),id)
if(ielhe1.gt.0) xnhe1=popul(nfirst(ielhe1),id)
w0=exp(wa0*xn2*xn2*xn2*(xnh+xnhe1))
W0=1.
c
DW1=UN-F/(UN+F)*w0
ELSE
DW1=UN
END IF
RETURN
END
C
C
C ********************************************************************
C
C
SUBROUTINE CHCKAB
C
C check input abumdances of explicit atoms (unit 5) and those
C which follow from the models atmosphere (unit 7) obtained by
C summing all populations and upper sums
C The program stops if it finds discrepancy more than 10 %
c
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
dimension sumpop(matom),sumiat(matom)
c
IST=0
DO ID1=1,3
IF(ID1.EQ.1) ID=1
IF(ID1.EQ.2) ID=46
IF(ID1.EQ.3) ID=ND
CALL WNSTOR(ID)
ANE=ELEC(ID)
CALL SABOLF(ID)
DO IAT=1,NATOM
SUM=0.
sump=0.
DO I=N0A(IAT),NKA(IAT)
IL=ILK(I)
A=1.
IF(IL.GT.0) A=1.+ANE*USUM(IL)
SUM=SUM+A*POPUL(I,ID)
SUMP=SUMP+POPUL(I,ID)
END DO
SUMIAT(IAT)=SUM
SUMPOP(IAT)=SUMP
END DO
WRITE(6,600) ID
DO IAT=1,NATOM
X=SUMIAT(IAT)/SUMIAT(IATREF)
WRITE(6,601) IAT,X,abund(iat,id),SUMPOP(IAT)/SUMPOP(IATREF)
IF(X/abund(iat,id).GT.1.1.OR.X/abund(iat,id).LT.0.9) ist=ist+1
END DO
END DO
IF(IST.GT.0) THEN
WRITE(6,602)
STOP
END IF
600 FORMAT(' check of abundances (id =',i3/
* ' computed from model atmosphere - input abundances'/)
601 format(i5,1p3e20.3)
602 format(' ERROR !!! - inconsistent abundances'/)
RETURN
END
C
C
C ********************************************************************
C
C
subroutine molini
c =================
c
c Initialization of the molecular equilibrium
c
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
common/moltst/pfmol(600,mdepth),anmol(600,mdepth),
* pfato(100,mdepth),anato(100,mdepth),
* pfion(100,mdepth),anion(100,mdepth)
dimension hpo(mdepth)
c
aeinit=1.0
c
do 10 id=1,nd
t=temp(id)
tln=log(t)*1.5
thl=11605./t
t32=exp(tln)
do i=1,MMOLEC
rrmol(i,id)=0.
end do
hpo(id)=DENS(ID)/WMM(ID)/YTOT(ID)
if(t.gt.tmolim) go to 10
HPOP=DENS(ID)/WMM(ID)/YTOT(ID)
an=dens(id)/wmm(id)+elec(id)
aeinit=0.1*an
if(t.lt.4000.) aeinit=0.01*an
call moleq(id,t,an,aeinit,ane,0)
c next initial guess will be the last ane determined for
c previous depth point
aeinit=ane
c
if (id.eq.idstd) then
write(6,600)
nmol=nmolec
if(id.eq.1) nmol=32
do i=1,nmol
write(6,601) i, cmol(i), rrmol(i,id), rrmol(i,id)/hpop
end do
end if
600 format(/ 'Molecular number densities at the standard depth'/)
601 format(i4,1x,A8,1x,1pe12.2,1x,e12.2)
10 continue
c update atomic populations once molecular densities are calculated
if(imode.lt.-4) then
do i=1,nlevel
iat=numat(iatm(i))
ion=iz(iel(i))
ii=nfirst(iel(i))
ener=(enion(ii)-enion(i))/bolk
if((enion(i).eq.0).and.(ilk(i).gt.0)) then
ener=0.
ion=ion+1
end if
if(ifwop(i).ge.0) then
do id=1,nd
popul(i,id)=rrr(id,ion,iat)*g(i)
* *exp(-ener/temp(id))
if(iat.eq.1.and.ion.eq.0) popul(i,id)=anhm(id)
end do
endif
end do
end if
c
return
end
C
C
C ********************************************************************
C
C
SUBROUTINE INMOLI(ILIST)
C ========================
C
C read in the input molecular line list,
C selection of lines that may contribute,
C set up auxiliary fields containing line parameters,
C
C Input of line data - unit 20:
C
C For each line, one (or two) records, containing:
C
C ALAM - wavelength (in nm)
C ANUM - code of the modelcule (as in Kurucz)
C (eg. 101.00 = H2; 607.00 = CN)
C GF - log gf
C EXCL - excitation potential of the lower level (in cm*-1)
C GR - gamma(rad)
C GS - gamma(Stark)
C GW - gamma(VdW)
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
INCLUDE 'LINDAT.FOR'
COMMON/LIMPAR/ALAM0,ALAM1,FRMIN,FRLAST,FRLI0,FRLIM
COMMON/BLAPAR/RELOP,SPACE0,CUTOF0,TSTD,DSTD,ALAMC
COMMON/NXTINM/ALMM00,ALSM00
common/alendm/alend(mmlist)
common/brdstd/gsstd,gwstd
character*80 dum
dimension x(9)
PARAMETER (PI4=7.95774715E-2)
PARAMETER (C1 = 2.3025851,
* C2 = 4.2014672,
* C3 = 1.4387886,
* CNM = 2.997925D17,
* EXT0 = 3.17,
* UN = 1.0,
* TEN = 10.,
* HUND = 1.D2,
* TENM4 = 1.D-4,
* TENM8 = 1.D-8,
* OP4 = 0.4,
* AGR0=2.4734E-22,
* XEH=13.595, XET=8067.6, XNF=25.,
* R02=2.5, R12=45., VW0=4.5E-9)
C
c DATA INLSET /0/
C
if(imode.ne.-3.and.temp(idstd).gt.tmolim) return
IUNIT=IUNITM(ILIST)
if(ibin(ilist).eq.0) then
open(unit=iunit,file=amlist(ilist),status='old')
else
open(unit=iunit,file=amlist(ilist),form='unformatted',
* status='old')
end if
C
c define a conversion table between Kurucz notation and Tsuji table
c through array MOLIND
C
do i=1,11000
molind(i)=0
end do
molind(101)=2
molind(106)=5
molind(107)=12
molind(108)=4
molind(111)=122
molind(112)=32
molind(114)=17
molind(116)=16
molind(120)=34
molind(124)=198
molind(126)=214
molind(606)=8
molind(607)=7
molind(608)=6
molind(614)=21
molind(616)=20
molind(707)=9
molind(708)=11
molind(714)=24
molind(716)=23
molind(808)=10
molind(812)=126
molind(813)=134
molind(814)=25
molind(816)=26
molind(820)=179
molind(822)=29
molind(823)=30
molind(10108)=3
c
c iunit=19+ilist
C
c ================================
c detect the type of the line list
c
ivdwli(ilist)=0
ibroad=1
c
c text list
c
if(ibin(ilist).eq.0) then
read(iunit,'(a80)') dum
read(dum,*,iostat=kst1) (x(i),i=1,9)
np=9
if(kst1.ne.0) then
read(dum,*,iostat=kst2) (x(i),i=1,7)
np=7
if(kst2.ne.0) then
read(dum,*,iostat=kst3) (x(i),i=1,4)
ibroad=0
np=4
if(kst3.ne.0) then
write(*,*) 'no applicable format of line list',ilist
end if
end if
end if
if(np.eq.9) ivdwli(ilist)=1
else
c
c binary list
c
read(iunit,err=110) (x(i),i=1,9)
np=9
go to 150
110 continue
read(iunit,err=120) (x(i),i=1,7)
np=7
go to 150
120 continue
read(iunit,err=130) (x(i),i=1,4)
ibroad=0
np=4
go to 150
130 continue
150 continue
if(np.eq.9) ivdwli(ilist)=1
if(np.eq.9) ivdwli(ilist)=1
end if
c =========================
c
ALAST=CNM/FRLAST
ALASTM(ILIST)=ALAST
IL=0
IF(NXTSEM(ILIST).EQ.1) THEN
ALAM0=ALM00
ALASTM(ILIST)=ALST00
FRLASM(ILIST)=CNM/ALASTM(ILIST)
NXTSEM(ILIST)=0
REWIND IUNIT
END IF
ALMM00=ALAM0
c ALASTM(ILIST)=CNM/FRLAST
c FRLASM(ILIST)=CNM/ALASTM(ILIST)
DOPSTD=1.E7/ALAM0*DSTD
DOPLAM=ALAM0*ALAM0/CNM*DOPSTD
AVAB=ABSTD(IDSTD)*RELOP
ASTD=1.0
c IF(GRAV.GT.6.) ASTD=0.1
CUTOFF=CUTOF0
ALAST=CNM/FRLAST
C
C first part of reading line list - read only lambda, and
C skip all lines with wavelength below ALAM0-CUTOFF
C
REWIND IUNIT
ALAM=0.
IJC=2
c
7 if(ibin(ilist).eq.0) then
READ(IUNIT,510) ALAM
else
read(iunit) alam
end if
510 FORMAT(F10.4)
IF(ALAM.LT.ALAM0-CUTOFF) GO TO 7
BACKSPACE(IUNIT)
GO TO 10
c
c read the line list
c
ill=0
8 continue
10 continue
ill=ill+1
c ivdwli(ilist)=1
if(ibin(ilist).eq.0) then
c if(ivdwli(ilist).ne.0) then
if(np.eq.9) then
read(iunit,*,end=100) alam,anum,gf,excl,gr,gh2,xnh2,ghe,xnhe
else if(np.eq.7) then
READ(IUNIT,*,END=100,err=8) ALAM,ANUM,GF,EXCL,GR,GS,GW
else
read(iunit,*,end=100,err=8) alam,anum,gf,excl
gr=2.4e13/alam**2
gs=gsstd
gw=gwstd
end if
else
c if(ivdwli(ilist).ne.0) then
if(np.eq.9) then
read(iunit,end=100) alam,anum,gf,excl,gr,gh2,xnh2,ghe,xnhe
else if(np.eq.7) then
READ(IUNIT,END=100) ALAM,ANUM,GF,EXCL,GR,GS,GW
else
read(iunit,end=100) alam,anum,gf,excl
gr=2.4e13/alam**2
gs=gsstd
gw=gwstd
end if
end if
C
c change wavelength to vacuum for lambda > 2000
c
if(alam.gt.200..and.vaclim.gt.2000.) then
wl0=alam*10.
ALM=1.E8/(WL0*WL0)
XN1=64.328+29498.1/(146.-ALM)+255.4/(41.-ALM)
WL0=WL0*(XN1*1.D-6+UN)
alam=wl0*0.1
END IF
C
C first selection : for a given interval
C
IF(ALAM.GT.ALASTM(ILIST)+CUTOFF) GO TO 100
C
C second selection : for line strengths
C
FR0=CNM/ALAM
icod=int(anum+tenm4)
c IF(ICOD.EQ.823) go to 10
imol=molind(icod)
if(imol.le.0.or.imol.gt.nmolec) go to 10
EXCL=ABS(EXCL)
GFP=C1*GF-C2
EPP=C3*EXCL
gx=gfp-epp/tstd
ab0=0.
c
if(ndstep.eq.0.and.ifwin.eq.0) then
c
c old procedure for line rejection
c
if(gx.gt.-30)
* AB0=EXP(GFP-EPP/TSTD)*RRMOL(IMOL,IDSTD)/DOPSTD/AVAB
IF(AB0.LT.UN) GO TO 10
else
c
c new procedure for line rejection
c
do ijcn=ijc,nfreqc
if(fr0.ge.freqc(ijcn)) go to 12
end do
12 continue
ijc=ijcn
if(ijc.gt.nfreqc) ijc=nfreqc
c
tkm=1.65e8/ammol(imol)
DP0=3.33564E-11*FR0
do id=1,nd,ndstep
td=temp(id)
gx=gfp-epp/td
ab0=0.
if(gx.gt.-30) then
dops=dp0*sqrt(tkm*td+vturb(id))
AB0=EXP(gx)*RRMOL(IMOL,ID)/(DOPS*abstdw(ijc,id)*relop)
end if
if(ab0.ge.un) go to 15
end do
GO TO 10
end if
c
C truncate line list if there are more lines than maximum allowable
C (given by MLIN0 - see include file LINDAT.FOR)
C
15 CONTINUE
IL=IL+1
IF(IL.GT.MLINM0) THEN
WRITE(6,601) ALAM
IL=MLINM0
ALASTM(ILIST)=CNM/FREQM(IL,ILIST)-CUTOFF
FRLASM(ILIST)=CNM/ALASTM(ILIST)
NXTSEM(ILIST)=1
GO TO 100
END IF
C
C =============================================
C line is selected, set up necessary parameters
C =============================================
C
C evaluation of EXTIN0 - the distance (in delta frequency) where
C the line is supposed to contribute to the total opacity
C
EX0=AB0*ASTD*10.
EXT=EXT0
IF(EX0.GT.TEN) EXT=SQRT(EX0)
EXTIN0=EXT*DOPSTD
C
C store parameters for selected lines
C
FREQM(IL,ILIST)=FR0
EXCLM(IL,ILIST)=real(EPP)
GFM(IL,ILIST)=real(GFP)
EXTINM(IL,ILIST)=real(EXTIN0)
INDATM(IL,ILIST)=imol
C
C ****** line broadening parameters *****
C assuming for Stark 1.e-8*effnsq**5/2, with effnsq=25
C
GRM(IL,ILIST)=real(GR*PI4)
GSM(IL,ILIST)=real(GS*PI4*3.125e-5)
GWM(IL,ILIST)=real(GW*PI4)
c IF(imol.eq.30) gwm(il,ilist)=0.
if(ivdwli(ilist).ne.0) then
gvdwh2(il,ilist)=real(gh2)
gexph2(il,ilist)=real(xnh2)
gvdwhe(il,ilist)=real(ghe)
gexphe(il,ilist)=real(xnhe)
gsm(il,ilist)=0.
gwm(il,ilist)=0.
end if
C
GO TO 10
100 NLINM0(ILIST)=IL
nlinmt(ilist)=nlinmt(ilist)+nlinm0(ilist)
alend(ilist)=cnm/fr0
C
xln=float(il)*1.e-6
WRITE(6,611) IUNIT,trim(amlist(ilist)),XLN
611 FORMAT(/' --------------------------------------------'/
*' MOLECULAR LINES - FROM UNIT ',i3,
*', FILE ',a,':',f8.3,' M'/
*' --------------------------------------------'/)
601 FORMAT('0 **** MORE LINES THAN MLINM0, LINE LIST TRUNCATED '/
*' AT LAMBDA',F15.4,' NM'/)
RETURN
END
C
C
C ********************************************************************
C
C
SUBROUTINE MOLSET(ILIST)
C ========================
C
C Selection of molecular lines that may contribute,
C set up auxiliary fields containing line parameters.
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
INCLUDE 'LINDAT.FOR'
COMMON/LIMPAR/ALAM0,ALAM1,FRMIN,FRLAST,FRLI0,FRLIM
COMMON/BLAPAR/RELOP,SPACE0,CUTOF0,TSTD,DSTD,ALAMC
common/alendm/alend(mmlist)
SAVE IMLAST
C
DATA CNM /2.997925D17/
C
if(inactm(ilist).ne.0) return
IL0=0
IPRSEM(ILIST)=0
NLINM=0
IREADM(ILIST)=1
IF(IBLANK.LE.1.OR.IMODE.EQ.1.OR.IMODE.EQ.-1) IREADM(ILIST)=0
IF(IBLANK.LE.1) APREV=0.
ALA0=CNM/FREQ(1)
ALA1=CNM/FREQ(2)
c
c skip if current wavelength larger than the largest wavelngth in the
c line list
c
if(ala0.gt.alend(ilist)) then
inactm(ilist)=1
return
end if
c
FRMINM=CNM/ALA0
FRM=FRMINM
SPACE=SPACE0
IF(ALAMC.GT.0.) SPACE=SPACE0*ALA0/ALAMC
IF(SPACE0.LT.0.) SPACE=-SPACE0
CUTOFF=CUTOF0*0.2
DOPSTD=1.E7/ALA0*DSTD
DISTAN=0.15*DOPSTD
SPAC=3.E16/ALA0/ALA0*SPACE
DISTA0=0.14*SPAC
IF(IBLANK.GE.2.AND.IMODE.EQ.-1) IL0=IMLAST
FRLI0=FRMINM
ASTD=1.0
AVAB=ABSTD(IDSTD)*RELOP
C
20 CONTINUE
C
C set up indices of lines
C IL0 - is the current index of line in the numbering of all lines
C
IF(IREADM(ILIST).EQ.1) THEN
IPRSEM(ILIST)=IPRSEM(ILIST)+1
IL0=INMLIP(IPRSEM(ILIST),ILIST)
IF(FREQM(IL0,ILIST).LT.FRMINM) THEN
IREADM(ILIST)=0
IL0=INMLIP(IPRSEM(ILIST)-1,ILIST)+1
END IF
ELSE
IL0=IL0+1
END IF
IF(IL0.GT.NLINM0(ILIST)) GO TO 210
FRLIM=FRLI0
FR0=FREQM(IL0,ILIST)
ALAM=CNM/FR0
C
IF(ALAM.LT.ALA0-CUTOFF) GO TO 20
IF(ALAM.GT.ALA1+CUTOFF) GO TO 210
C
C SECOND SELECTION : FOR LINE STRENGHTS
C
EXT=EXTINM(IL0,ILIST)
FRLI0=FR0-EXT-SPAC
IF(FRLI0.GT.FRLIM) FRLI0=FRLIM
IF(ALAM.LT.ALA0.AND.FR0-FRMINM.GT.EXT+SPAC) GO TO 20
IF(FREQ(NFREQS)-FR0.GT.EXT+SPAC) GO TO 20
C
NLINM=NLINM+1
if(nlinm.gt.mlinm) then
write(*,*) 'nlinm,mlinm',nlinm,mlinm
call quit('too many molecular lines in a set')
end if
INMLIN(NLINM,ILIST)=IL0
GO TO 20
c
c frequency indices of the line centers
c
210 CONTINUE
XX=FREQ(2)-FREQ(1)
DFRCON=NFREQ-3
DFRCON=-DFRCON/XX
IFRCON=INT(DFRCON)
DO 255 IL=1,NLINM
fr0=freqm(inmlin(il,ilist),ILIST)
XJC=3.+DFRCON*(FREQ(1)-FR0)
IJC=INT(XJC)
IJCMTR(IL,ILIST)=IJC
if(ijc.le.3.or.ijc.ge.nfreq) go to 255
if(fr0.lt.freq(ijc)) then
ijc0=ijc
dfr0=freq(ijc0)-fr0
252 ijc0=ijc0+1
dfr=abs(freq(ijc0)-fr0)
if(dfr.lt.dfr0) then
ijc=ijc0
ijc0=ijc0+1
dfr0=dfr
go to 252
end if
else if(fr0.gt.freq(ijc)) then
ijc0=ijc
dfr0=fr0-freq(ijc0)
254 ijc0=ijc0-1
dfr=abs(freq(ijc0)-fr0)
if(dfr.lt.dfr0) then
ijc=ijc0
ijc0=ijc0-1
dfr0=dfr
go to 254
end if
end if
IJCMTR(IL,ILIST)=IJC
255 continue
C
DO IL=1,NLINM
INMLIP(IL,ILIST)=INMLIN(IL,ILIST)
END DO
NLINML(ILIST)=NLINM
IMLAST=INMLIN(NLINML(ILIST),ILIST)
C
CALL INIBLM
C
c write(6,611) inmlin(1,ilist),inmlin(nlinm,ilist),
c * 2.997925e18/freqm(inmlin(1,ilist),ILIST),
c * 2.997925e18/freqm(inmlin(nlinm,ilist),ILIST)
c 611 format('mols',2i7,2f10.3)
RETURN
END
C
C
C ********************************************************************
C
C
SUBROUTINE INIBLM
C =================
C
C driving procedure for treating a partial molecular line list for the
C current wavelength region
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
INCLUDE 'LINDAT.FOR'
C
PARAMETER (DP0=3.33564E-11, DP1=1.651E8, UN=1.)
C
XX=FREQ(1)
IF(NFREQ.GE.2) XX=0.5*(FREQ(1)+FREQ(2))
BNU=BN*(XX*1.E-15)**3
HKF=HK*XX
DO ID=1,ND
T=TEMP(ID)
EXH=EXP(HKF/T)
EXHK(ID)=UN/EXH
PLAN(ID)=BNU/(EXH-UN)
STIM(ID)=UN-EXHK(ID)
DO IMOL=1,NMOLEC
IF(AMMOL(IMOL).GT.0.)
* DOPMOL(IMOL,ID)=UN/(XX*DP0*SQRT(DP1*T/AMMOL(IMOL)+
* VTURB(ID)))
END DO
END DO
RETURN
END
C
C ********************************************************************
C
C
SUBROUTINE IDMTAB
C =================
C
C output of selected molecular line parameters (identification table)
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
INCLUDE 'LINDAT.FOR'
COMMON/REFDEP/IREFD(MFREQ)
COMMON/RTEOPA/CH(MFREQ,MDEPTH),ET(MFREQ,MDEPTH),
* SC(MFREQ,MDEPTH)
CHARACTER*4 APB,AP0,AP1,AP2,AP3,AP4,APR
C
PARAMETER (C1=2.3025851, C2=4.2014672, C3=1.4387886)
DATA APB,AP0,AP1,AP2,AP3,AP4 /' ',' .',' *',' **',' ***',
* '****'/
C
ALM0=2.997925D18/FREQ(1)
ALM1=2.997925D18/FREQ(2)
if(ifwin.gt.0) ALM1=2.997925D18/FREQ(NFREQ)
IF(IPRIN.LE.-2) RETURN
if(iprin.ge.3) then
IF(IMODE.GE.0) WRITE(6,601) IBLANK,ALM0,ALM1
IF(IMODE.GE.0.OR.(IMODE.EQ.-1.AND.IBLANK.EQ.1)) WRITE(6,602)
end if
C
ID=IDSTD
DO 100 ILIST=1,NMLIST
IF(NLINML(ILIST).EQ.0) GO TO 100
DO IL0=1,NLINML(ILIST)
IL=INMLIN(IL0,ILIST)
ALAM=2.997925D18/FREQM(IL,ILIST)
c ID=IDSTD
IJCN=IJCMTR(IL0,ILIST)
c IF(IJCN.GE.1.AND.IJCN.LE.NFREQS) ID=IREFD(IJCN)
IMOL=INDATM(IL,ILIST)
DOP1=DOPMOL(IMOL,ID)
ANE=ELEC(ID)
AGAM=(GRM(IL,ILIST)+GSM(IL,ILIST)*ANE+
* GVDW(IL,ILIST,ID))*DOP1
ABCNT=EXP(GFM(IL,ILIST)-EXCLM(IL,ILIST)/TEMP(ID))*
* RRMOL(IMOL,ID)*DOP1*STIM(ID)
absta=min(ch(1,id),ch(2,id))
str0=abcnt/absta
if(ifwin.gt.0) STR0=ABCNT/ABSTDW(IJCONT(IL),ID)
GF=(GFM(IL,ILIST)+C2)/C1
EXCL=EXCLM(IL,ILIST)/C3
IF(STR0.LE.1.2) THEN
WW1=0.886*STR0*(1.-STR0*(0.707-STR0*0.577))
ELSE
WW1=SQRT(LOG(STR0))
END IF
IF(STR0.GT.55.) THEN
WW2=0.5*SQRT(3.14*AGAM*STR0)
IF(WW2.GT.WW1) WW1=WW2
END IF
EQW=ALAM/FREQM(IL,ILIST)*1.E3/DOP1*WW1
STR=EQW*10.
APR=APB
IF(STR.GE.1.E0.AND.STR.LT.1.E1) APR=AP0
IF(STR.GE.1.E1.AND.STR.LT.1.E2) APR=AP1
IF(STR.GE.1.E2.AND.STR.LT.1.E3) APR=AP2
IF(STR.GE.1.E3.AND.STR.LT.1.E4) APR=AP3
IF(STR.GE.1.E4) APR=AP4
if(alam.ge.alm0.and.alam.lt.alm1) then
WRITE(15,603) ALAM,CMOL(IMOL),GF,EXCL,
* STR0,EQW,APR,id,AGAM
end if
END DO
C
601 FORMAT(/' ',I4,'. SET (MOLECULAR LINES):',
* ' INTERVAL ',F9.3,' -',F9.3,' ANGSTROMS'/
* ' ------------')
602 FORMAT(/1H ,13X,
* 'LAMBDA MOLECULE LOG GF ELO LINE/CONT',2X,
* 'EQ.WIDTH',8x,'AGAM'/)
603 FORMAT(F11.3,2X,A4,4X,F7.2,F12.3,1PE11.2,0PF8.1,1X,A4,
* i4,1PE10.2)
C
100 CONTINUE
RETURN
END
C
C
C ********************************************************************
C
C
SUBROUTINE MOLOP(ID,ABLIN,EMLIN,AVAB,ILIST)
C ===========================================
C
C Total molecular line opacity (ABLIN) and emissivity (EMLIN)
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
INCLUDE 'LINDAT.FOR'
PARAMETER (UN = 1.,
* EXT0 = 3.17,
* TEN = 10.)
DIMENSION ABLIN(MFREQ),EMLIN(MFREQ)
C
DO IJ=1,NFREQ
ABLIN(IJ)=0.
EMLIN(IJ)=0.
END DO
C
if(temp(id).gt.tmolim) return
IF(NLINML(ILIST).EQ.0) RETURN
if(inactm(ilist).ne.0) return
C
C overall loop over contributing lines
C
TEM1=UN/TEMP(ID)
ANE=ELEC(ID)
DO I=1,NLINML(ILIST)
IL=INMLIN(I,ILIST)
IMOL=INDATM(IL,ILIST)
DOP1=DOPMOL(IMOL,ID)
AGAM=(GRM(IL,ILIST)+GSM(IL,ILIST)*ANE+
* GVDW(IL,ILIST,ID))*DOP1
FR0=FREQM(IL,ILIST)
AB0=EXP(GFM(IL,ILIST)-EXCLM(IL,ILIST)*TEM1)*RRMOL(IMOL,ID)*
* DOP1*STIM(ID)
C
C set up limiting frequencies where the line I is supposed to
C contribute to the opacity
C
EX0=AB0/AVAB*AGAM
EXT=EXT0
IF(EX0.GT.TEN) EXT=SQRT(EX0)
EXT=EXT/DOP1
XIJEXT=DFRCON*EXT+1.5
IJ1=int(MAX(float(IJCMTR(I,ILIST))-XIJEXT,3.))
IJ2=int(MIN(float(IJCMTR(I,ILIST))+XIJEXT,float(NFREQS)))
IF(IJ1.LT.NFREQ.AND.IJ2.GT.2) THEN
DO IJ=IJ1,IJ2
XF=ABS(FREQ(IJ)-FR0)*DOP1
ABLIN(IJ)=ABLIN(IJ)+AB0*VOIGTK(AGAM,XF)
END DO
END IF
END DO
C
DO IJ=3,NFREQ
EMLIN(IJ)=EMLIN(IJ)+ABLIN(IJ)*PLAN(ID)
END DO
C
RETURN
END
C
C
C ********************************************************************
C
C
FUNCTION SBFHMI(FR)
C ===================
C
C Bound-free cross-section for H- (negative hydrogen ion)
C Taken from Kurucz ATLAS9
C
C FROM MATHISEN (1984), AFTER WISHART(1979) AND BROAD AND REINHARDT (1976)
C
INCLUDE 'PARAMS.FOR'
DIMENSION WBF(85),BF(85)
DATA WBF/ 18.00, 19.60, 21.40, 23.60, 26.40, 29.80, 34.30,
1 40.40, 49.10, 62.60, 111.30, 112.10, 112.67, 112.95, 113.05,
2 113.10, 113.20, 113.23, 113.50, 114.40, 121.00, 139.00, 164.00,
3 175.00, 200.00, 225.00, 250.00, 275.00, 300.00, 325.00, 350.00,
4 375.00, 400.00, 425.00, 450.00, 475.00, 500.00, 525.00, 550.00,
5 575.00, 600.00, 625.00, 650.00, 675.00, 700.00, 725.00, 750.00,
6 775.00, 800.00, 825.00, 850.00, 875.00, 900.00, 925.00, 950.00,
7 975.00,1000.00,1025.00,1050.00,1075.00,1100.00,1125.00,1150.00,
8 1175.00,1200.00,1225.00,1250.00,1275.00,1300.00,1325.00,1350.00,
9 1375.00,1400.00,1425.00,1450.00,1475.00,1500.00,1525.00,1550.00,
A 1575.00,1600.00,1610.00,1620.00,1630.00,1643.91/
DATA BF/ 0.067, 0.088, 0.117, 0.155, 0.206, 0.283, 0.414,
1 0.703, 1.24, 2.33, 11.60, 13.90, 24.30, 66.70, 95.00,
2 56.60, 20.00, 14.60, 8.50, 7.10, 5.43, 5.91, 7.29,
3 7.918, 9.453, 11.08, 12.75, 14.46, 16.19, 17.92, 19.65,
4 21.35, 23.02, 24.65, 26.24, 27.77, 29.23, 30.62, 31.94,
5 33.17, 34.32, 35.37, 36.32, 37.17, 37.91, 38.54, 39.07,
6 39.48, 39.77, 39.95, 40.01, 39.95, 39.77, 39.48, 39.06,
7 38.53, 37.89, 37.13, 36.25, 35.28, 34.19, 33.01, 31.72,
8 30.34, 28.87, 27.33, 25.71, 24.02, 22.26, 20.46, 18.62,
9 16.74, 14.85, 12.95, 11.07, 9.211, 7.407, 5.677, 4.052,
A 2.575, 1.302, 0.8697, 0.4974, 0.1989, 0. /
C Bell and Berrington J.Phys.B,vol. 20, 801-806,1987.
c
HMINBF=0.
IF(FR.GT.1.82365E14) THEN
WAVE=2.99792458E17/FR
HMINBF=YLINTP(WAVE,WBF,BF,85,85)*1.E-18
END IF
SBFHMI=HMINBF
RETURN
END
C
C
C ********************************************************************
C
C
FUNCTION SFFHMI(POPI,FR,T)
C ==========================
C
C Free-free cross-section for H- (negative hydrogen ion)
C Taken from Kurucz ATLAS9
C
C From Bell and Berrington J.Phys.B,vol. 20, 801-806,1987.
C
INCLUDE 'PARAMS.FOR'
PARAMETER (CONFF=5040.*1.380658E-16, CONTH=5040.)
DIMENSION FFLOG(22,11),FFCS(11,22),FFLOG2(22)
DIMENSION FFBEG(11,11),FFEND(11,11),FFTT(11),WFFLOG(22)
DIMENSION THETAFF(11),WAVEK(22)
EQUIVALENCE (FFCS(1,1),FFBEG(1,1)),(FFCS(1,12),FFEND(1,1))
C
DATA WAVEK/.50,.40,.35,.30,.25,.20,.18,.16,.14,.12,.10,.09,.08,
1 .07,.06,.05,.04,.03,.02,.01,.008,.006/
DATA THETAFF/
1 0.5, 0.6, 0.8, 1.0, 1.2, 1.4, 1.6, 1.8, 2.0, 2.8, 3.6/
DATA FFBEG/
1.0178,.0222,.0308,.0402,.0498,.0596,.0695,.0795,.0896, .131, .172,
2.0228,.0280,.0388,.0499,.0614,.0732,.0851,.0972, .110, .160, .211,
3.0277,.0342,.0476,.0615,.0760,.0908, .105, .121, .136, .199, .262,
4.0364,.0447,.0616,.0789,.0966, .114, .132, .150, .169, .243, .318,
5.0520,.0633,.0859, .108, .131, .154, .178, .201, .225, .321, .418,
6.0791,.0959, .129, .161, .194, .227, .260, .293, .327, .463, .602,
7.0965, .117, .157, .195, .234, .272, .311, .351, .390, .549, .711,
8 .121, .146, .195, .241, .288, .334, .381, .428, .475, .667, .861,
9 .154, .188, .249, .309, .367, .424, .482, .539, .597, .830, 1.07,
A .208, .250, .332, .409, .484, .557, .630, .702, .774, 1.06, 1.36,
B .293, .354, .468, .576, .677, .777, .874, .969, 1.06, 1.45, 1.83/
DATA FFEND/
1 .358, .432, .572, .702, .825, .943, 1.06, 1.17, 1.28, 1.73, 2.17,
2 .448, .539, .711, .871, 1.02, 1.16, 1.29, 1.43, 1.57, 2.09, 2.60,
3 .579, .699, .924, 1.13, 1.33, 1.51, 1.69, 1.86, 2.02, 2.67, 3.31,
4 .781, .940, 1.24, 1.52, 1.78, 2.02, 2.26, 2.48, 2.69, 3.52, 4.31,
5 1.11, 1.34, 1.77, 2.17, 2.53, 2.87, 3.20, 3.51, 3.80, 4.92, 5.97,
6 1.73, 2.08, 2.74, 3.37, 3.90, 4.50, 5.01, 5.50, 5.95, 7.59, 9.06,
7 3.04, 3.65, 4.80, 5.86, 6.86, 7.79, 8.67, 9.50, 10.3, 13.2, 15.6,
8 6.79, 8.16, 10.7, 13.1, 15.3, 17.4, 19.4, 21.2, 23.0, 29.5, 35.0,
9 27.0, 32.4, 42.6, 51.9, 60.7, 68.9, 76.8, 84.2, 91.4, 117., 140.,
A 42.3, 50.6, 66.4, 80.8, 94.5, 107., 120., 131., 142., 183., 219.,
B 75.1, 90.0, 118., 144., 168., 191., 212., 234., 253., 325., 388./
DATA ISTART/0/
C
IF(ISTART.EQ.0) THEN
ISTART=1
DO 2 IWAVE=1,22
WFFLOG(IWAVE)=LOG(91.134D0/WAVEK(IWAVE))
DO 2 ITHETA=1,11
FFLOG(IWAVE,ITHETA)=LOG(FFCS(ITHETA,IWAVE)*1.E-26)
2 CONTINUE
ENDIF
C
WAVE=2.99792458E17/FR
WAVELOG=LOG(WAVE)
C
DO 21 ITHETA=1,11
DO IWAVE=1,22
FFLOG2(IWAVE)=FFLOG(IWAVE,ITHETA)
END DO
FFTLOG=YLINTP(WAVELOG,WFFLOG,FFLOG2,22,22)
FFTT(ITHETA)=EXP(FFTLOG)/THETAFF(ITHETA)*CONFF
21 CONTINUE
c
THETA=CONTH/T
FFTH=YLINTP(THETA,THETAFF,FFTT,11,11)
SFFHMI=FFTH*POPI/(1.-exp(-hk*fr/t))
RETURN
END
C
C
C
C ******************************************************************
C
C
C =========================================================================
C *************************************************************************
C *************************************************************************
C
subroutine mpartf(jatom,ion,indmol,t,u)
c =======================================
c
c yields partition functions with polynomial data from
c ref. Irwin, A.W., 1981, ApJ Suppl. 45, 621.
c ln u(temp)=sum(a(i)*(ln(temp))**(i-1)) 1<=a<=6
c
c Input:
c jatom = element number in periodic table
c ion = 1 for neutral, 2 for once ionized and 3 for twice ionized
c indmol= index of a molecular specie (Tsuji index)
c temp = temperature
c Output:
c u = partf.(linear scale) for iat,ion, or indmol, and temperature t
c
c
implicit real*8 (a-h,o-z)
real*8 a(6,3,92),aa(6),am(6,500)
dimension indtsu(324),irw(500)
save iread,a,am
c data indtsu / 2, 5, 12, 4, 8, 7, 6,
c * 9, 11, 10, 29, 50, 59, 46, 132, 52, 19,
c * 13, 42, 38, 39, 37, 44, 36, 14, 118, 33,
c * 3, 16, 57, 32, 49, 60, 54, 41, 107, 0,
c * 148, 152, 153, 155, 0, 17, 24, 25, 28, 51,
c * 112, 119, 0, 0,21, 15, 43, 56, 0, 64,
c * 47, 65, 0, 61, 0, 62,118, 40, 66/
c data indtsu / 2, 5, 12, 4, 8, 7, 6,
c * 9, 11, 10, 29, 50, 59, 46, 132, 52, 19,
c * 13, 42, 38, 39, 37, 44, 36, 14, 117, 33,
c * 3, 16, 57, 32, 49, 60, 54, 41, 106,303,
c * 147, 151, 152, 154, 302, 17, 24, 25, 28, 51,
c * 111, 118, 102, 0, 21, 15, 43, 56,478, 64,
c * 47, 65, 413, 61, 190, 62 ,108, 40, 66,214,
c * 257*0./
data indtsu / 2, 5, 12, 4, 8, 7, 6,
* 9, 11, 10, 29, 50, 59, 46, 133, 52, 19,
* 13, 42, 38, 39, 37, 44, 36, 14, 118, 33,
* 3, 16, 57, 32, 49, 60, 54, 41, 107,304,
* 148, 152, 153, 155, 303, 17, 24, 25, 28, 51,
* 112, 119, 102, 0, 21, 15, 43, 22,478, 64,
* 47, 65, 414, 61, 191, 62 ,109, 40, 66,214,
* 120*0, 30, 136*0/
data iread /0/
c
c read data if first call:
c
if(iread.ne.1) then
if(irwtab.eq.0) then
open(67,file= './data/irwin_orig.dat',status='old')
nummol=66
else
open(67,file= './data/irwin_bc.dat',status='old')
nummol=324
end if
read(67,*)
read(67,*)
do j=1,92
do i=1,3
if(j.eq.1.and.i.eq.3) goto 10
sp=float(j)+float(i-1)/100.
read(67,*) spec,aa
do k=1,6
a(k,i,j)=aa(k)
end do
10 continue
end do
end do
c
read(67,*)
read(67,*)
read(67,*)
do i=1,500
irw(i)=0
end do
do i=1,nummol
read(67,*,end=15) spec,aa
indm=indtsu(i)
if(indm.gt.0) then
irw(indm)=i
do j=1,6
am(j,indm)=aa(j)
end do
end if
end do
15 continue
close(67)
iread=1
endif
c
c evaluation of the partition function
c stop if T is out of limits of Irwin's tables
c
if(t.lt.1000.) then
stop 'partf; temp<1000 K'
else if(t.gt.16000.) then
stop 'partf; temp>16000 K'
endif
tl=log(t)
u=0.
c
c atomic species
c
if(jatom.gt.0.and.ion.gt.0) then
ulog= a(1,ion,jatom)+
* tl*(a(2,ion,jatom)+
* tl*(a(3,ion,jatom)+
* tl*(a(4,ion,jatom)+
* tl*(a(5,ion,jatom)+
* tl*(a(6,ion,jatom))))))
if(jatom.eq.5.and.ion.eq.3) ulog=1.
u=exp(ulog)
end if
c
c molecular species
c
if(indmol.gt.0) then
indm=indmol
if(irw(indm).gt.0) then
ulog= am(1,indm)+
* tl*(am(2,indm)+
* tl*(am(3,indm)+
* tl*(am(4,indm)+
* tl*(am(5,indm)+
* tl*(am(6,indm))))))
u=exp(ulog)
c if(t.gt.5128..and.t.lt.5129)
c * write(6,631) t,indmol,indm,u
c 631 format('mpartf',f10.1,2i5,f16.3)
end if
end if
return
end
C
C =========================================================================
C *************************************************************************
C *************************************************************************
C
C
subroutine moleq(id,tt,an,aein,ane,ipri)
c ========================================
c
c calculation of the equilibrium state of atoms and molecules
c
c Input: id - depth point
c tt - temperature [K]
c an - number density
c aein - initial estimate of the electron density
c
c Output: ane - electron density
c
C Output through common/atomol:
c rrr(id,j,i) - N/U for the atom with atomic number i and
c ion j (j=1 for neutral, and j=2 for 1st ions)
c rrmol(imol,id) - N/U for the molecule with index imol
c (the index is given by the ordering of
c in the input file tsuji.molec
c
c
c Input data for molecules iven in the file
c tsuji.molec
c
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
character*128 MOLEC
COMMON/COMFH1/C(600,5),PPMOL(600),APMLOG(600),P(100),
* XIP(100),XI2(100),CCOMP(100),UIIDUI(100),
* FP(100),XKP(100),XK2(100),EPS,SWITER,
* NELEM(5,600),NATO(5,600),MMAX(600),
* NELEMX(100),NMETAL,NIMAX
common/moltst/pfmol(600,mdepth),anmol(600,mdepth),
* pfato(100,mdepth),anato(100,mdepth),
* pfion(100,mdepth),anion(100,mdepth)
common/ioniz2/anion2(30,mdepth)
DIMENSION NATOMM(5),NELEMM(5),
* emass(100),uelem(100),ull(100),anden(800),
* aelem(100)
dimension denso(mdepth),eleco(mdepth),wmmo(mdepth)
c
data nmetal/92/
c
data iread/1/
c
MOLEC ='data/tsuji.molec_bc2'
if(moltab.eq.0) MOLEC='data/tsuji.molec_orig'
c
ECONST=4.342945E-1
AVO=0.602217E+24
SPA=0.196E-01
GRA=0.275423E+05
AHE=0.100E+00
tk=1./(tt*1.38054e-16)
pgas=an/tk
sahcon=1.87840e20*tt*sqrt(tt)
nimax=3000
eps=1.e-5
switer=0.0
C
C---- data for atoms ----------------
C
if(iread.eq.1) then
c
do i=1,nmetal
ia=i
nelemx(i)=ia
ccomp(ia)=abndd(ia,id)
xip(ia)=enev(ia,1)
xi2(ia)=enev(ia,2)
emass(ia)=amas(ia)
end do
c
c---- read molecular data from a table ----------------------
c
J=0
OPEN(UNIT=26,FILE=MOLEC,STATUS='OLD')
10 J=J+1
IF(MOLTAB.GE.1)
* READ (26,510,end=20) CMOL(J),(C(J,K),K=1,5),MMAX(J),
* (NELEMM(M),NATOMM(M),M=1,4)
IF(MOLTAB.EQ.0)
* READ (26,511,end=20) CMOL(J),(C(J,K),K=1,5),MMAX(J),
* (NELEMM(M),NATOMM(M),M=1,4)
510 format(a8,5e13.5,9i3)
511 FORMAT (A8,E11.5,4E12.5,I1,(I2,I3),3(I2,I2))
c
c for now, exclude all molecules with 4 or more C atoms
c
do m=1,4
if(nelemm(m).eq.6.and.natomm(m).ge.5) then
j=j-1
go to 10
end if
end do
c
MMAXJ=MMAX(J)
IF(MMAXJ.EQ.0) GO TO 20
DO M=1,MMAXJ
NELEM(M,J)=NELEMM(M)
NATO(M,J)=NATOMM(M)
END DO
c write(6,680) j,cmol(j)
c 680 format(i5,a10)
GO TO 10
20 NMOLEC=J-1
close(26)
c
DO I=1,NMETAL
NELEMI=NELEMX(I)
P(NELEMI)=1.D-70
END DO
iread=0
endif
c
c---- end of reading atomic and molecular data ----------------------
c
p(99)= aein/tk
pesave=p(99)
p(99)=pesave
c
THETA=5040./tt
TEM=tt
PGLOG=log10(Pgas)
PG=Pgas
c
CALL RUSSEL(TEM,PG)
c
PE=P(99)
ane=pe*tk
PELOG=log10(PE)
emass(99)=5.486e-4
uelem(99)=2.
aelem(99)=pe*tk/(2.*sahcon*emass(nelemi)**1.5)
ull(99)=log10(aelem(99))
c
c----atoms-----------------------------------------------------------------
c
tmass=0.
DO I=1,NMETAL
NELEMI=NELEMX(I)
FPLOG=log10(FP(NELEMI))
anden(i)=(p(nelemi)+1.D-70)*tk
tmass=tmass+anden(i)*emass(nelemi)
call irwpf(nelemi,1,0,tt,u0)
uelem(nelemi)=u0
aelem(nelemi)=anden(i)/(u0*sahcon*emass(nelemi)**1.5)
ull(nelemi)=log10(aelem(nelemi))
rrr(id,1,nelemi)=anden(i)/u0
anato(nelemi,id)=anden(i)
pfato(nelemi,id)=u0
END DO
an1=anden(1)
c
c---- positive ions ---------------------------------------------------------
c
DO I=1,NMETAL
NELEMI=NELEMX(I)
PLOG= log10(P(NELEMI)+1.0D-70)
XKPLOG=log10(XKP(NELEMI)+1.0D-70)
PIONL=PLOG+XKPLOG-PELOG
anden(i+nmetal)=exp(pionl/econst)*tk
tmass=tmass+anden(i+nmetal)*emass(nelemi)
call irwpf(nelemi,2,0,tt,u1)
anion(nelemi,id)=anden(i+nmetal)
pfion(nelemi,id)=u1
rrr(id,2,nelemi)=anden(i+nmetal)/u1
if(nelemi.ge.2.and.nelemi.le.30) then
x2log=log10(XK2(NELEMI)+1.0D-70)
pion2=pionl+x2log-pelog
anion2(nelemi,id)=exp(pion2/econst)*tk
end if
END DO
anion2(1,id)=0.
c
c---- molecules-------------------------------------------------------------
c
DO J=1,NMOLEC
jm=j+2*nmetal
PMOLL=log10(PPMOL(J)+1.0D-70)
anden(jm)=exp(pmoll/econst)*tk
rrmol(j,id)=0.
umoll=1.
if(pmoll.gt.-30.) then
umoll=log10(anden(jm))+c(j,2)*theta
amasm=0.
do jjj=1,mmax(j)
i=nelem(jjj,j)
amasm=amasm+NATO(jjj,j)*emass(i)
umoll=umoll-NATO(jjj,j)*ull(i)
end do
ammol(j)=amasm
tmass=tmass+anden(jm)*amasm
umoll=exp(umoll/econst)/(sahcon*amasm**1.5)
c
c replace with EXOMOL data whenever available
c
um=0.
if(ipfexo.gt.0.and.tt.le.9000.)
* call exopf(j,tt,um)
if(um.gt.0.) then
umoll=um
else
c
c or with modified Irwin (Barklem & Collet) data whenever available
c
call irwpf(0,0,j,tt,um)
if(um.gt.0.) umoll=um
end if
c H-
c
if(j.eq.1) umoll=1.
c
c set up array RRR = number density/partition function
c
rrmol(j,id)=anden(jm)/umoll
end if
c
anmol(j,id)=anden(jm)
pfmol(j,id)=umoll
END DO
jm=2*nmetal
anhm(id)=anden(1+jm)
anh2(id)=anden(2+jm)
anch(id)=anden(5+jm)
anoh(id)=anden(4+jm)
C
C
C save new density, molecular weight, and abundances of
c atomic species
c
ipri1=ipri
denso(id)=dens(id)
eleco(id)=elec(id)
wmmo(id)=wmm(id)
dens(id)=tmass*hmass
elec(id)=pe*tk
wmm(id)=dens(id)/(an-elec(id))
ane=elec(id)
c
do i=1,nmetal
NELEMI=NELEMX(I)
ia=iatex(nelemi)
if(ia.gt.0) then
attot(ia,id)=(anato(nelemi,id)+anion(nelemi,id))
end if
end do
c
if(id.eq.nd) then
write(86,610)
do iid=1,nd
write(86,611) iid,dm(iid),temp(iid),elec(iid),eleco(iid),
* dens(iid),denso(iid),wmm(iid),wmmo(iid)
end do
end if
610 format(/' id m T ne(old) ne(new)',
* ' dens(old) dens(new) wmm(old) wmm(new)'/)
611 format(i4,1p8e10.2)
C
RETURN
END
C
C =========================================================================
C *************************************************************************
C *************************************************************************
C
C
SUBROUTINE RUSSEL(TEM,PG)
c =========================
c
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
COMMON/COMFH1/C(600,5),PPMOL(600),APMLOG(600),P(100),
* XIP(100),XI2(100),CCOMP(100),UIIDUI(100),
* FP(100),XKP(100),XK2(100),EPS,SWITER,
* NELEM(5,600),NATO(5,600),MMAX(600),
* NELEMX(100),NMETAL,NIMAX
DIMENSION FX(100),DFX(100),Z(100),PREV(100),WA(100),
* UIIDU2(100)
C
c ECONST=4.342945E-1
ECONST=4.3426E-1
XKCON=6.667343E-1
EPSDIE=5.0E-5
T=5040.4/TEM
PGLOG=log10(PG)
tk=1./(tem*1.38054e-16)
C
C HEH=helium/hydrogen ratio by number
C
HEH=CCOMP(2)/CCOMP(1)
c HEH=YTOT(1)-UN
C
C evaluation of log XKP(MOL)
C
DO J=1,NMOLEC
APLOGJ=C(J,5)
DO K=1,4
KM5=5-K
APLOGJ=APLOGJ*T + C(J,KM5)
END DO
APMLOG(J)=APLOGJ
END DO
apmlog(1)=-log10(1.0353e-16/tem/sqrt(tem)*tk*exp(8762.9/tem))
DHH=(((0.1196952E-02*T-0.2125713E-01)*T+0.1545253E+00)*T
* -0.5161452E+01)*T+0.1277356E+02
DHH=EXP(DHH/ECONST)
C
C evaluation of the ionization constants
C
TEM25=TEM**2*SQRT(TEM)
DO I=1,NMETAL
NELEMI = NELEMX(I)
*
* calculation of the partition functions following Irwin (1981)
C
call irwpf(nelemi,1,0,tem,g0)
call irwpf(nelemi,2,0,tem,g1)
call irwpf(nelemi,3,0,tem,g2)
c uiidui(nelemi)=g1/g0*0.6665
uiidui(nelemi)=g1/g0*xkcon
uiidu2(nelemi)=g2/g1*xkcon
c
XKP(NELEMI)=UIIDUI(NELEMI)*TEM25*
* EXP(-XIP(NELEMI)*T/ECONST)
XK2(NELEMI)=UIIDU2(NELEMI)*TEM25*
* EXP(-XI2(NELEMI)*T/ECONST)
xk2(nelemi)=max(xk2(nelemi),1.d-70)
END DO
HKP=XKP(1)
XK2(1)=0.
C
C preliminary value of PH at high temperatures
C
HKP=XKP(1)
IF(T.LT.0.6) THEN
PPH=SQRT(HKP*(PG/(1.0+HEH)+HKP))-HKP
PH=PPH**2/HKP
ELSE
IF(PG/DHH.LE.0.1) THEN
PH=PG/(1.0+HEH)
ELSE
PH=0.5 * (SQRT(DHH*(DHH+4.0 *PG/(1.0+HEH)))-DHH)
END IF
END IF
C
C evaluation of the fictitious pressures of hydrogen
C PG=PH+PHH+2.0*PPH+HEH*(PH+2.0*PHH+PPH)
C
U=(1.0+2.0*HEH)/DHH
Q=1.0+HEH
R=(2.0+HEH)*SQRT(HKP)
S=-1.0*PG
X=SQRT(PH)
C
C Russell iterations
C
ITERAT=0
10 CONTINUE
F=((U*X**2+Q)*X+R)*X+S
DF=2.0*(2.0*U*X**2+Q)*X+R
XR=X-F/DF
C
IF(ABS((X-XR)/XR).GT.EPSDIE) THEN
ITERAT=ITERAT+1
IF(ITERAT.GT.50) THEN
WRITE(6,710) TEM,PG,X,XR,PH
710 FORMAT(1H1, ' NOT CONVERGE IN RUSSEL '/// 'TEM=',F9.2,5X,'PG=',
* E12.5,5X,'X1=',E12.5,5X,'X2=',E12.5,5X,'PH=',E12.5/////)
ELSE
X=XR
GO TO 10
END IF
END IF
PH=XR**2
PHH=PH**2/DHH
PPH=SQRT(HKP*PH)
FPH=PH+2.0*PHH+PPH
P(100)=PPH
C
C evaluation of the fictitious pressure of each element
C
DO I=1,NMETAL
NELEMI=NELEMX(I)
FP(NELEMI)=CCOMP(NELEMI)*FPH
END DO
C
PE=P(99)
C
C Russell equations
C
NITERR = 0
20 CONTINUE
DO I=1,NMETAL
NELEMI=NELEMX(I)
c FX(NELEMI)=-FP(NELEMI)+P(NELEMI)*(1.0+XKP(NELEMI)/PE)
DFX(NELEMI)=1.0+XKP(NELEMI)/PE*(1.0+XK2(NELEMI)/PE)
FX(NELEMI)=-FP(NELEMI)+P(NELEMI)*DFX(NELEMI)
END DO
C
SPNION=0.0
spnplu=0.
DO J=1,NMOLEC
MMAXJ=MMAX(J)
PMOLJL=-APMLOG(J)
DO M=1,MMAXJ
NELEMJ=NELEM(M,J)
NATOMJ=NATO(M,J)
PMOLJL=PMOLJL+DFLOAT(NATOMJ)*log10(P(NELEMJ))
END DO
C
PMOLJ=EXP(PMOLJL/ECONST)
DO M=1,MMAXJ
NELEMJ=NELEM(M,J)
NATOMJ=NATO(M,J)
ATOMJ=DFLOAT(NATOMJ)
IF(NELEMJ.EQ.99) then
if(natomj.ge.0) then
SPNION=SPNION+PMOLJ*NATOMJ
else
SPNPLU=SPNPLU-PMOLJ*NATOMJ
end if
end if
DO I=1,NMETAL
NELEMI=NELEMX(I)
IF(NELEMJ.EQ.NELEMI) THEN
FX(NELEMI)=FX(NELEMI)+ATOMJ*PMOLJ
DFX(NELEMI)=DFX(NELEMI)+ATOMJ**2*
* PMOLJ/P(NELEMI)
END IF
END DO
END DO
PPMOL(J)=PMOLJ
END DO
C
C solution of the Russell equations by Newton-Raphson method
C
DO I=1,NMETAL
NELEMI=NELEMX(I)
WA(I)=log10(P(NELEMI)+1.0D-70)
END DO
IMAXP1=NMETAL+1
WA(IMAXP1)=log10(PE+1.0D-70)
DELTRS = 0.0
DO I=1,NMETAL
NELEMI=NELEMX(I)
PREV(NELEMI)=P(NELEMI)-FX(NELEMI)/DFX(NELEMI)
PREV(NELEMI)=ABS(PREV(NELEMI))
IF(PREV(NELEMI).LT.1.0D-70) PREV(NELEMI)=1.0D-70
Z(NELEMI)=PREV(NELEMI)/P(NELEMI)
DELTRS=DELTRS+ABS(Z(NELEMI)-1.0)
IF(SWITER.GT.0.0) THEN
P(NELEMI)=(PREV(NELEMI)+P(NELEMI))*0.5
ELSE
P(NELEMI)=PREV(NELEMI)
END IF
END DO
C
C ionization equilibrium
C
PEREV = spnplu
DO I=1,NMETAL
NELEMI = NELEMX(I)
PEREV=PEREV+XKP(NELEMI)*P(NELEMI)*(1.+xk2(nelemi)/pe)
c write(6,631) i,nelemi,p(nelemi),XKP(NELEMI)*P(NELEMI),
c * xkp(nelemi),xk2(nelemi),1.+xk2(nelemi)/pe,
c * XKP(NELEMI)*P(NELEMI)*(1.+xk2(nelemi)/pe),perev
c 631 format(2i4,1p7e11.3)
END DO
C
PEREV=SQRT(PEREV/(1.0+SPNION/PE))
DELTRS=DELTRS+ABS((PE-PEREV)/PE)
if(iprin.gt.4)
* write(6,601) niterr,tem,pg*tk,fph*tk,pe*tk,perev*tk,
* (perev+pe)*0.5*tk,deltrs
PE=(PEREV+PE)*0.5
P(99)=PE
IF(DELTRS.GT.EPS) THEN
NITERR=NITERR+1
IF(NITERR.LE.NIMAX) THEN
GO TO 20
ELSE
WRITE(6,605) NIMAX
END IF
END IF
605 FORMAT(1H0,'*DOES NOT CONVERGE AFTER ',I4,' ITERATIONS')
C
if(iprin.gt.4) then
write(6,601) niterr,tem,pg*tk,fph*tk,pe*tk,perev*tk,
* (perev+pe)*0.5*tk,deltrs
601 format('russel iterations ',i4,1p7e13.4)
write(*,*) ' '
end if
c
RETURN
END
C
C
C ********************************************************************
C
C
c
SUBROUTINE SETWIN
C =================
C
C Initialisation of an extended radial structure
C (spherical symmetry is assumed)
C with a continuous connection between the lower quasi-hydrostatic
C layers and the upper, supersonic layers. The velocity structure
C in the upper layers is a beta-type law (v=vinf*(1-r0/r)^beta).
C
C Additional input are read at the end of Unit 8:
C RCORE : Core radius (deepest layer, in solar radii or in cm)
C NDRAD : Number of layers
C NRCORE: Number of core rays
C INRV : Switch indicating the data to be read:
C = 0 : Read an hydrostatic, plane-parallel model only; the
C routine builds the radial points, density and
C velocity structure;
C < 0 : Read also an hydrostatic, plane-parallel model, but
C an empirical velocity law V(r) is read at each
C radial point (r(id) is read);
C > 0 : Input from an extended model atmosphere; the velocity
C law is read; the density structure is recomputed for
C a possibly different mass-loss rate.
C XMDOT : Mass loss rate (in solar mass/yr)
C BETAV, VINF : Parameters of the velocity law (VINF in km/s)
C RD, VEL: Radial points, expansion velocity
C
C Synspec version
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'WINCOM.FOR'
PARAMETER (RSUN=6.96D10)
common/velaux/velmax,iemoff,nltoff,itrad
C
C Read data for spherical atmosphere and velocity law
C
READ(8,*,END=9,ERR=9) RCORE,NDRAD,NRCORE,INRV,NFIRY,NDF
IF(RCORE.LT.1.E5) RCORE=RCORE*RSUN
IF(NDRAD.GT.MDEPTH) CALL quit('NDRAD too large')
READ(8,*) XMDOT,BETAV,VINF
XMDOT=6.30289D25*XMDOT
VINF=1.D5*VINF
ND=NDRAD
DO ID=1,ND
READ(8,*) RD(ID),VEL(ID),VTURB(ID),DENSCON(ID)
if(denscon(id).eq.0.) denscon(id)=1.
vturb(id)=vturb(id)*vturb(id)
END DO
C
C Apply density contrast for clumping
C
DO ID=1,ND
ELEC(ID) = ELEC(ID) * DENSCON(ID)
DENS(ID) = DENS(ID) * DENSCON(ID)
DO I=1,NLEVEL
POPUL(I,ID) = POPUL(I,ID) * DENSCON(ID)
END DO
END DO
C
C Set up rays and weights
C
itrad=1
call radtem
CALL SETRAY
CALL WGTJH1
C
9 continue
RETURN
END
C
C
C ********************************************************************
C
C
SUBROUTINE SETRAY
C =================
C
C Setup impact rays and angles
C (assumes one impact ray tangent to every depth layer)
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'WINCOM.FOR'
PARAMETER (PI4=4.*3.141592654)
PARAMETER (UN=1., TWO=2., HALF=0.5)
DIMENSION RS(MDEPF ),RDX(MDEPF )
DIMENSION ZIU(MDEPTH),VIU(MDEPTH),ZIUF(MDEPF ),VIUF(MDEPF )
C
C Fine radial grid
C
if(ndf.eq.0.or.ndf.eq.nd) then
ndf=nd
DO ID=1,NDF
DENSF(ID)=DENS(ID)
END DO
else
XR1=LOG(DENS(1))
XR2=LOG(DENS(ND))
DXR=(XR2-XR1)/FLOAT(NDF-1)
DO ID=1,NDF
DENSF(ID)=EXP(XR1+FLOAT(ID-1)*DXR)
END DO
end if
C
C
C Impact rays
C
NREXT=ND
DO ID=1,NREXT
PIM(ID)=RD(ID)
NUD(ID)=ID
END DO
DO IU=1,NRCORE
PIM(NREXT+IU)=FLOAT(NRCORE-IU)/FLOAT(NRCORE)*RCORE
NUD(NREXT+IU)=ND
END DO
KMU=NREXT+NRCORE
C
C Angles
C
DO ID=1,ND
RD1=UN/RD(ID)
DO IU=ID,KMU
PRR=PIM(IU)*RD1
BMU(IU,ID)=SQRT(UN-PRR*PRR)
END DO
END DO
C
C Depth increments along each ray
C
DELZ(1,1)=0.
DFRQ(1,1)=0.
DO IU=2,KMU
NUDF(IU)=NUD(IU)
IU1=IU
IF(IU.GT.ND) IU1=ND
DO ID=1,IU1-1
DELZ(IU,ID)=BMU(IU,ID)*RD(ID)-BMU(IU,ID+1)*RD(ID+1)
DFRQ(IU,ID)=BMU(IU,ID)*VEL(ID)/CL
JD=2*NUD(IU)-ID
DFRQ(IU,JD)=-DFRQ(IU,ID)
END DO
DELZ(IU,IU1)=DELZ(IU,IU1-1)
DFRQ(IU,IU1)=0.
IF(IU.GT.NREXT) DFRQ(IU,ND)=BMU(IU,ND)*VEL(ND)/CL
END DO
C
C Finer grid along the NFIRY most external rays
C velocity steps DVD(ID)
C
XMD4=XMDOT/PI4
CLV=UN/CL
DO ID=1,ND
DVD(ID)=SQRT(1.6D7*TEMP(ID)+VTURB(ID)) * 0.3
c DVD(ID)=SQRT(1.6D7*TEMP(ID))
END DO
NUDX=ND
DO IU=2,NFIRY
IF(PIM(IU).GT.0.) THEN
DO ID=1,NUD(IU)
IID=NUD(IU)-ID+1
ZIU(ID)=VEL(IID)
VIU(ID)=DFRQ(IU,IID)*CL
ENDDO
ELSE
DO ID=1,NUD(IU)
IID=NUD(IU)-ID+1
ZIU(ID)=RD(IID)
VIU(ID)=DFRQ(IU,IID)*CL
ENDDO
ENDIF
NUDF(IU)=1
VIUF(1)=DFRQ(IU,1)*CL
DO ID=1,NUD(IU)-1
VZ1=DFRQ(IU,ID)*CL
VZ2=DFRQ(IU,ID+1)*CL
NFG=int((VZ1-VZ2)/DVD(ID))+1
XFG=(VZ1-VZ2)/DFLOAT(NFG)
IV0=NUDF(IU)
DO IV=1,NFG
VIUF(IV0+IV)=VZ1-DFLOAT(IV)*XFG
ENDDO
NUDF(IU)=NUDF(IU)+NFG
IF(NUDF(IU).GT.MDEPF )
+ CALL quit('Too many points in fine grid - SETRAY')
END DO
IF(NUDF(IU).GT.NUDX) NUDX=NUDF(IU)
INRP=2
IF(IU.GT.8) INRP=4
CALL INTERP(VIU,ZIU,VIUF,ZIUF,NUD(IU),NUDF(IU),INRP,0,0)
IF(PIM(IU).GT.0.) THEN
DO ID=1,NUDF(IU)
DMU=VIUF(ID)/ZIUF(ID)
RS(ID)=PIM(IU)/SQRT(UN-DMU*DMU)
DFRQF(IU,ID)=VIUF(ID)*CLV
VELF(IU,ID)=ZIUF(ID)
RDX(ID)=XMD4/(RS(ID)*RS(ID)*VELF(IU,ID))
ZIUF(ID)=DMU*RS(ID)
END DO
ELSE
DO ID=1,NUDF(IU)
RS(ID)=ZIUF(ID)
DFRQF(IU,ID)=VIUF(ID)*CLV
VELF(IU,ID)=VIUF(ID)
RDX(ID)=XMD4/(RS(ID)*RS(ID)*VELF(IU,ID))
END DO
END IF
IF(IU.LE.NREXT) THEN
DO ID=1,NUDF(IU)
JD=2*NUDF(IU)-ID
DFRQF(IU,JD)=-DFRQF(IU,ID)
END DO
END IF
DO ID=1,NUDF(IU)-1
DELZF(IU,ID)=ZIUF(ID)-ZIUF(ID+1)
END DO
DELZF(IU,NUDF(IU))=DELZF(IU,NUDF(IU)-1)
C
C Assign depth index
C
KRAY(IU,1)=2
DRAY(IU,1)=0.
IDK=1
DO ID=2,NUDF(IU)
DO WHILE (RDX(ID).GE.DENSF(IDK).and.idk.le.ndf)
IDK=IDK+1
END DO
c IDK=IDK+1
IF(IDK.GT.NDF) IDK=NDF
KRAY(IU,ID)=IDK
DRAY(IU,ID)=(RDX(ID)-DENSF(IDK-1))/(DENSF(IDK)-DENSF(IDK-1))
END DO
IF(IU.LE.NREXT) THEN
DO ID=1,NUDF(IU)
JD=2*NUDF(IU)-ID
KRAY(IU,JD)=KRAY(IU,ID)
DRAY(IU,JD)=DRAY(IU,ID)
END DO
END IF
END DO
C
C remaining rays (without finer grid)
C
IF(NFIRY.LT.KMU) THEN
IU=KMU
KRAY(IU,1)=2
DRAY(IU,1)=0.
IDK=1
DO ID=2,NUDF(IU)
DO WHILE (DENS(ID).GE.DENSF(IDK).and.idk.le.ndf)
IDK=IDK+1
END DO
c IDK=IDK+1
IF(IDK.GT.NDF) IDK=NDF
KRAY(IU,ID)=IDK
DRAY(IU,ID)=(DENS(ID)-DENSF(IDK-1))/(DENSF(IDK)-DENSF(IDK-1))
END DO
DO IU=NFIRY+1,KMU
DO ID=1,NUDF(IU)
KRAY(IU,ID)=KRAY(KMU,ID)
DRAY(IU,ID)=DRAY(KMU,ID)
DFRQF(IU,ID)=DFRQ(IU,ID)
DELZF(IU,ID)=DELZ(IU,ID)
ENDDO
IF(IU.LE.NREXT) THEN
DO ID=1,NUDF(IU)
JD=2*NUDF(IU)-ID
KRAY(IU,JD)=KRAY(IU,ID)
DRAY(IU,JD)=DRAY(IU,ID)
DFRQF(IU,JD)=-DFRQF(IU,ID)
END DO
END IF
END DO
END IF
C
NFTOT=0
DO IU=2,KMU
IUD=NUDF(IU)
IF(IU.LE.NREXT) IUD=2*NUDF(IU)-1
NFTOT=NFTOT+IUD
ENDDO
write(10,*) 'NFTOT=',NFTOT
C
RETURN
END
C
C
C ****************************************************************
C
C
SUBROUTINE WGTJH1
C =================
C
C Angle quadrature weights
C from Hummer, Kunasz, & Kunasz, 1973, Comp. Phys. Comm. 6, 38
C
C The present version of this routine assumes that there are
C impact rays tangent to every depth layers (i.e. NREXT=ND)
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'WINCOM.FOR'
PARAMETER (UN=1., TWO=2., HALF=0.5)
PARAMETER (SIX=6.)
PARAMETER (C03=UN/3.,D03=2./3.,C04=UN/4.,C06=UN/6.)
PARAMETER (C24=UN/24.,C45=UN/45.,D45=2./45.,C72=UN/72.)
DIMENSION WAJ(MKU),WBJ(MKU),AHH(MKU,4)
DIMENSION BMUH(MKU),BMUHP(MKU),WAH(MKU),WBH(MKU)
DIMENSION WSD(MKU),WSU(MKU),WSL(MKU),WUU(MKU)
DIMENSION WTD(MKU),WTU(MKU),WTL(MKU)
C
DO 100 ID=1,ND
DO IU=ID+1,KMU
AHH(IU,1)=BMU(IU,ID)-BMU(IU-1,ID)
AHH(IU,2)=AHH(IU,1)*AHH(IU,1)
AHH(IU,3)=AHH(IU,2)*AHH(IU,1)
AHH(IU,4)=AHH(IU,3)*AHH(IU,1)
BMUH(IU)=BMU(IU,ID)*AHH(IU,1)
BMUHP(IU)=BMU(IU-1,ID)*AHH(IU,1)
END DO
C
C Weights for J
C
WAJ(ID)=HALF*AHH(ID+1,1)
WAJ(KMU)=HALF*AHH(KMU,1)
WBJ(ID)=-C24*AHH(ID+1,3)
WBJ(KMU)=-C24*AHH(KMU,3)
WSL(ID+1)=C06*AHH(ID+1,1)
WSU(KMU-1)=0.
WSD(ID)=C03*AHH(ID+1,1)
WSD(KMU)=UN
WTL(ID+1)=UN/AHH(ID+1,1)
WTU(KMU-1)=0.
WTD(ID)=-WTL(ID+1)
WTD(KMU)=0.
DO IU=ID+1,KMU-1
WAJ(IU)=HALF*(AHH(IU,1)+AHH(IU+1,1))
WBJ(IU)=-C24*(AHH(IU+1,3)+AHH(IU,3))
AH1=SIX/(AHH(IU,1)+AHH(IU+1,1))
WSL(IU+1)=C06*AH1*AHH(IU+1,1)
WSU(IU-1)=UN-WSL(IU+1)
WSD(IU)=TWO
WTL(IU+1)=AH1/AHH(IU+1,1)
WTU(IU-1)=AH1/AHH(IU,1)
WTD(IU)=-SIX/AHH(IU,1)/AHH(IU+1,1)
END DO
NMUD=KMU-ID+1
CALL TRIDAG(WSL,WSD,WSU,WBJ,WUU,NMUD)
WMUJ(ID,ID)=WAJ(ID)+WTD(ID)*WUU(ID)+WTU(ID)*WUU(ID+1)
WMUJ(KMU,ID)=WAJ(KMU)+WTL(KMU)*WUU(KMU-1)+WTD(KMU)*WUU(KMU)
DO IU=ID+1,KMU-1
WMUJ(IU,ID)=WAJ(IU)+WTL(IU)*WUU(IU-1)+
* WTD(IU)*WUU(IU)+WTU(IU)*WUU(IU+1)
END DO
C
C Weights for emergent flux H
C
IF(ID.GT.1) GO TO 100
WAH(ID)=HALF*BMUH(ID+1)-C03*AHH(ID+1,2)
WAH(KMU)=HALF*BMUHP(KMU)+C03*AHH(KMU,2)
WBH(ID)=AHH(ID+1,3)*(C45*AHH(ID+1,1)-C24*BMU(ID+1,ID))
WBH(KMU)=-AHH(KMU,3)*(C45*AHH(KMU,1)+C24*BMU(KMU-1,ID))
WSL(ID+1)=0.
WSD(ID)=UN
WTL(ID+1)=0.
WTD(ID)=0.
DO IU=ID+1,KMU-1
WAH(IU)=HALF*(BMUH(IU+1)+BMUHP(IU))-
* C03*(AHH(IU+1,2)-AHH(IU,2))
WBH(IU)=-C24*(BMUH(IU+1)*AHH(IU+1,2)+BMUHP(IU)*AHH(IU,2))+
* C45*(AHH(IU+1,4)-AHH(IU,4))
END DO
CALL TRIDAG(WSL,WSD,WSU,WBH,WUU,NMUD)
WMUH(ID)=WAH(ID)+WTD(ID)*WUU(ID)+WTU(ID)*WUU(ID+1)
WMUH(KMU)=WAH(KMU)+WTL(KMU)*WUU(KMU-1)+WTD(KMU)*WUU(KMU)
DO IU=ID+1,KMU-1
WMUH(IU)=WAH(IU)+WTL(IU)*WUU(IU-1)+
* WTD(IU)*WUU(IU)+WTU(IU)*WUU(IU+1)
END DO
C
100 CONTINUE
C
C Weights for H are overwritten by trapezoidal weigths
C
id=1
wmuh(1)=bmu(1,id)*(bmu(2,id)-bmu(1,id))*half
wmuh(kmu)=bmu(kmu,id)*(bmu(kmu,id)-bmu(kmu-1,id))*half
do iu=2,kmu-1
wmuh(iu)=bmu(iu,id)*(bmu(iu+1,id)-bmu(iu-1,id))*half
end do
c
RETURN
END
C
C
C ****************************************************************
C
C
SUBROUTINE TRIDAG(A,B,C,R,U,N)
C ==============================
C
C Solve tridiagonal system of equations
C from Numerical Recipes (standard Gaussian elimination)
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'WINCOM.FOR'
DIMENSION A(N),B(N),C(N),R(N),U(N)
DIMENSION GTRID(MKU)
C
BTRID=B(1)
U(1)=R(1)/BTRID
DO J=2,N
GTRID(J)=C(J-1)/BTRID
BTRID=B(J)-A(J)*GTRID(J)
U(J)=(R(J)-A(J)*U(J-1))/BTRID
ENDDO
DO J=N-1,1,-1
U(J)=U(J)-GTRID(J+1)*U(J+1)
ENDDO
C
RETURN
END
C
C
C ****************************************************************
C
C
SUBROUTINE RESOLW
C =================
C
C driver for evaluating opacities and emissivities which then
C enter the solution of the radiative transfer equation (RTEWIN)
C Setup opacities for a given frequency set
C Oversample in radial and frequency space for later interpolation
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
INCLUDE 'WINCOM.FOR'
PARAMETER (UN=1., TWO=2., HALF=0.5)
DIMENSION CROSS(MCROSS,MOPAC),
* ABSO(MOPAC),EMIS(MOPAC),
* ABSOC(MFREQC),EMISC(MFREQC),SCATC(MFREQC)
DIMENSION ABSD(MDEPTH),ASF(MDEPF),XDS(MDEPTH),XDSF(MDEPF)
COMMON/CONOPA/CHC(MFREQC,MDEPTH),ETC(MFREQC,MDEPTH),
* SCC(MFREQC,MDEPTH)
COMMON/HPOPST/HPOP
COMMON/COPAC/AB(MOPAC,MDEPF),STH(MOPAC,MDEPF),SCH(MFREQC,MDEPF)
COMMON/LIMPAR/ALAM0,ALAM1,FRMIN,FRLAST,FRLI0,FRLIM
COMMON/BLAPAR/RELOP,SPACE0,CUTOF0,TSTD,DSTD,ALAMC
COMMON/FRQSET/IFRS,NFRS
COMMON/EMFLUX/FLUX(MFREQ),FLUXC(MFREQC)
C
C set up the partial line list for the current interval
C
CALL INISET
C
C output of information about selected lines
C
IF(IMODE.LT.2) CALL INIBLA
C
C Setup fine grid of frequencies
C
CLV=UN/2.997925E10
FQ1=FREQ(1)*(UN+VINF*CLV)
FQ2=FREQ(NFREQ)*(UN-VINF*CLV)
VXD=SQRT(0.3e7*TSTD)*FREQ(1)*CLV
VXS=SPACE0*FREQ(1)*FREQ(1)*CLV*1.e-7
c DVX=MAX(VXD,VXS)
DVX=VXS
NOPAC=int((FQ1-FQ2)/DVX)+1
DVX=(FQ1-FQ2)/DFLOAT(NOPAC)
NOPAC=NOPAC+3
nopac=nfreq
WRITE(6,600) NOPAC,NDF
IF(NOPAC.GT.MOPAC) CALL quit('Too many freqs in fine grid')
DO IJ=1,NOPAC
FFQ(ij)=FQ1-DFLOAT(ij-1)*DVX
c freq(ij)=ffq(ij)
c wlam(ij)=2.997925e18/freq(ij)
fr=freq(ij)*1.d-15
BNUE(IJ)=BN*fr*fr*fr
DO IJCI=IJC,NFREQC-1
IF(WLAM(IJ).LE.WLAMC(IJCI)) GO TO 248
END DO
248 CONTINUE
IJC=IJCI
IJCINT(IJ)=MAX(IJC-1,1)
IJCI=IJCINT(IJ)
FRX1(IJ)=(FREQ(IJ)-FREQC(IJCI+1))/
* (FREQC(IJCI)-FREQC(IJCI+1))
c write(80,681) ij,ijci,wlam(ij),wlamc(ijci),freq(ij),frx1(ij)
c 681 format(2i5,2f10.3,1p2e11.3)
END DO
nfreq=nopac
DO JI=1,NOPAC-1
FFQV(JI)=UN/(FFQ(JI)-FFQ(JI+1))
END DO
FFQV(NOPAC)=UN
c
c the continuum opacities and radiation field - done only once
c
c -----------------------------------
if(iblank.le.1) then
C
c determine the "core" radius and the factor that multiplies
c H_nu at ID=1 to get physical flux there (R2F)
c
ID0=ND
DO WHILE(TEMP(ID0).GT.TEFF .AND. ID0.GT.1)
ID0=ID0-1
END DO
ID0=ID0+1
R2F=RD(1)*RD(1)/RD(ID0)/RD(ID0)
c
C photoinization cross-sections
C
CALL CROSEW(CROSS)
C
C store opacity and emissivity in continuum
C
DO ID=1,ND
CALL OPACW(ID,CROSS,ABSO,EMIS,ABSOC,EMISC,SCATC,0)
DO IJ=1,NFREQC
CHC(IJ,ID)=ABSOC(IJ) / DENSCON(ID)
ETC(IJ,ID)=EMISC(IJ) / DENSCON(ID)
SCC(IJ,ID)=(SCATC(IJ)+ELEC(ID)*SIGE) / DENSCON(ID)
END DO
END DO
C
c radiation field in the continuum
c
call rtesca
do ij=1,nfreqc
write(17,640) wlamc(ij),fluxc(ij)*r2f
end do
640 FORMAT(1H ,F10.4,1PE15.5)
c
end if
c -----------------------------------
C
C Store opacity and thermal source function in all frequencies
C and depths
C
DO ID=1,ND
CALL OPACW(ID,CROSS,ABSO,EMIS,ABSOC,EMISC,SCATC,1)
DO IJ=1,NOPAC
AB(IJ,ID)=ABSO(IJ) / DENSCON(ID)
STH(IJ,ID)=EMIS(IJ)/ABSO(IJ)
END DO
END DO
C
c do id=1,nd
c do ij=1,nopac
c write(92,693) id,ij,wlam(ij),ab(ij,id),sth(ij,id)
c end do
c end do
c 693 format(2i5,f10.3,1p2e10.3)
C
C Interpolate to a finer radial (density) grid
C
if(ndf.ne.nd) then
DO ID=1,ND
XDS(ID)=LOG10(DENS(ID))
END DO
DO ID=1,NDF
XDSF(ID)=LOG10(DENSF(ID))
END DO
DO IJ=1,NOPAC
DO ID=1,ND
ABSD(ID)=AB(IJ,ID)
END DO
CALL INTERP(XDS ,ABSD,XDSF ,ASF,ND,NDF,2,0,1)
DO ID=1,NDF
AB(IJ,ID)=ASF(ID)
END DO
DO ID=1,ND
ABSD(ID)=STH(IJ,ID)
END DO
CALL INTERP(XDS ,ABSD,XDSF ,ASF,ND,NDF,2,0,1)
DO ID=1,NDF
STH(IJ,ID)=ASF(ID)
END DO
END DO
DO IJ=1,NFREQC
DO ID=1,ND
ABSD(ID)=SCC(IJ,ID)
END DO
CALL INTERP(XDS ,ABSD,XDSF ,ASF,ND,NDF,2,0,1)
DO ID=1,NDF
SCH(IJ,ID)=ASF(ID)
END DO
END DO
end if
WRITE(6,601)
600 FORMAT(/,' Opacity table for',i5,' frequencies and',/,
* ' ',i5,' radial (density) points')
601 FORMAT(' Done'/)
C
C
C Loop on rays, solving radiative transfer equation
C
DO IJ=1,NFREQ
FLUX(IJ)=0.
END DO
DO IU=2,KMU
CALL RTEWIN(IU)
END DO
DO IJ=1,NFREQ
FLUX(IJ)=FLUX(IJ)*R2F
END DO
C
RETURN
END
C
C
C ****************************************************************
C
C
SUBROUTINE RTESCA
C =================
C
C Solution of the radiative transfer equation
C for deriving the scattering in continuum
C
C Solution along every rays, for the spherically-symmetric case
C
C Solution in the optical depth scale
C
C The numerical method used:
C Discontinuous Finite Element method
C Castor, Dykema, Klein, 1992, ApJ 387, 561.
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
INCLUDE 'WINCOM.FOR'
PARAMETER (UN=1., TWO=2., HALF=0.5)
PARAMETER (NTRALI=10,DJMAX=1.D-3)
COMMON/RTEOPA/CH(MFREQ,MDEPTH),ET(MFREQ,MDEPTH),
* SC(MFREQ,MDEPTH)
COMMON/CONOPA/CHC(MFREQC,MDEPTH),ETC(MFREQC,MDEPTH),
* SCC(MFREQC,MDEPTH)
COMMON/EMFLUX/FLUX(MFREQ),FLUXC(MFREQC)
COMMON/CONSCV/SCCF(MFREQC,mdepf)
DIMENSION ST0(mdepf ),RAD00(mdepf ),AB0(mdepf ),ALI1(mdepf ),
* rip(mdepf ),rim(mdepf ),riin(mdepf ),riup(mdepf ),
* aip(mdepf ),aim(mdepf ),aiin(mdepf ),aiup(mdepf )
dimension dt(mdepf ),dtau(mdepf ),RDX(mdepf ),PTX(mdepf )
dimension uf(mdepf ),af(mdepf ),ss0(mdepf ),scx(mdepth)
dimension densr(mdepf),rdy(mdepf),
* abc0(mdepf),abc1(mdepf),stc0(mdepf),stc1(mdepf),
* scc0(mdepf),scc01(mdepf)
COMMON/COPAC/AB(MOPAC,MDEPF),STH(MOPAC,MDEPF),SCH(MFREQC,MDEPF)
C
C overall loop over continuum frequencies
C
DO 500 IJ=1,NFREQC
FR=FREQC(IJ)
C
C Initialisation of J=B
C
if(ij.eq.1) then
FR15=FR*1.D-15
BNU=BN*FR15*FR15*FR15
HKFR=HK*FR
DO ID=1,ND
RAD00(ID)=BNU/(EXP(HKFR/TEMP(ID))-UN)
END DO
end if
C
C Loop over electron scattering
C
itrali=0
10 itrali=itrali+1
fluxc(ij)=0.
C
DO ID=1,ND
RAD1(ID)=0.
ALI1(ID)=0.
END DO
C
C Loop over impact rays
C
if(nd.eq.ndf) then
do id=1,nd
densf(id)=dens(id)
rdx(id)=rad00(id)
abc0(id)=chc(ij,id)
stc0(id)=etc(ij,id)/chc(ij,id)
scc0(id)=scc(ij,id)
end do
else
CALL INTERP(DENS,RAD00,DENSF,RDX,ND,NDF,4,1,0)
do id=1,nd
abc1(id)=chc(ij,id)
stc1(id)=etc(ij,id)/chc(ij,id)
scc01(ij)=scc(ij,id)
end do
CALL INTERP(DENS,abc1,DENSF,abc0,ND,NDF,4,1,0)
CALL INTERP(DENS,stc1,DENSF,stc0,ND,NDF,4,1,0)
CALL INTERP(DENS,scc01,DENSF,scc0,ND,NDF,4,1,0)
end if
DO 100 IU=1,KMU
iud=nud(iu)
IF(IU.LE.NFIRY) IUD=NUDF(IU)
if(iud.le.1) goto 100
DO ID=1,IUD
KY=KRAY(IU,ID)
YDR=DRAY(IU,ID)
YDR1=UN-DRAY(IU,ID)
DENSR(ID)=YDR1*DENSF(KY-1)+YDR*DENSF(KY)
AB0(ID)=YDR1*abc0(KY-1)+YDR*abc0(KY)
ST0(ID)=YDR1*stc0(KY-1)+YDR*stc0(KY)
SC0=YDR1*scc0(KY-1)+YDR*scc0(KY)
RDY(id)=YDR1*RDX(KY-1)+YDR*RDX(KY)
SS0(ID)=SC0/AB0(ID)
ST0(ID)=ST0(ID)+SS0(ID)*RDY(ID)
END DO
IF(IU.LE.NFIRY) THEN
DO ID=1,IUD-1
DTAU(ID)=HALF*(AB0(ID)+AB0(ID+1))*DELZF(IU,ID)
END DO
ELSE
DO ID=1,IUD-1
DT(ID)=HALF*(AB0(ID)+AB0(ID+1))
DTAU(ID)=DT(ID)*DELZ(IU,ID)
END DO
END IF
C
C incoming intensity (TAUMIN=0.)
C
rim(1)=0.
aim(1)=0.
do id=1,iud-1
dt0=dtau(id)
dtaup1=dt0+un
dtau2=dt0*dt0
bb=two*dtaup1
cc=dt0*dtaup1
aa=un/(dtau2+bb)
rip(id)=(bb*rim(id)+cc*st0(id)-dt0*st0(id+1))*aa
rim(id+1)=(two*rim(id)+dt0*st0(id)+cc*st0(id+1))*aa
aip(id)=(cc+bb*aim(id))*aa
aim(id+1)=cc*aa
enddo
do id=2,iud-1
dtt=un/(dtau(id-1)+dtau(id))
riin(id)=(rim(id)*dtau(id)+rip(id)*dtau(id-1))*dtt
aiin(id)=(aim(id)*dtau(id)+aip(id)*dtau(id-1))*dtt
enddo
riin(1)=rim(1)
riin(iud)=rim(iud)
aiin(1)=aim(1)
aiin(iud)=aim(iud)
rip(iud)=rim(iud)
C
C Outgoing intensity
C symmetric boundary condition (rim(iud)=riin(iud))
C or diffusion approx. for core rays
C
IF(IU.GT.NREXT) THEN
PLAND=BNU/(EXP(HKFR/TEMP(ND))-UN)
DPLAN=PLAND-BNU/(EXP(HKFR/TEMP(ND-1))-UN)
c rim(iud)=PLAND+dplan/dtau(iud-1)
rip(iud)=PLAND+dplan/dtau(iud-1)
dt0=dtau(iud-1)
dtaup1=dt0+un
dtau2=dt0*dt0
bb=two*dtaup1
cc=dt0*dtaup1
aa=dtau2+bb
rim(iud)=(aa*rip(iud)-cc*st0(iud)+dt0*st0(iud-1))/bb
ENDIF
do id=iud-1,1,-1
dt0=dtau(id)
dtaup1=dt0+un
dtau2=dt0*dt0
bb=two*dtaup1
cc=dt0*dtaup1
aa=un/(dtau2+bb)
rip(id+1)=(bb*rim(id+1)+cc*st0(id+1)-dt0*st0(id))*aa
rim(id)=(two*rim(id+1)+dt0*st0(id+1)+cc*st0(id))*aa
aip(id+1)=(cc+bb*aim(id+1))*aa
aim(id)=cc*aa
enddo
do id=2,iud-1
dtt=un/(dtau(id-1)+dtau(id))
riup(id)=(rim(id)*dtau(id-1)+rip(id)*dtau(id))*dtt
aiup(id)=(aim(id)*dtau(id-1)+aip(id)*dtau(id))*dtt
enddo
riup(1)=rim(1)
riup(iud)=rim(iud)
aiup(1)=aim(1)
aiup(iud)=aim(iud)
C
C symmetrized (Feautrier) intensity -- (riin+riup)/2 --
C and interpolation in original radial grid
C
do id=1,iud
uf(id)=(riup(id)+riin(id))
af(id)=(aiup(id)+aiin(id))
end do
if(iu.le.nfiry) then
inrp=min(nud(iu),4)
call interp(densr,uf,dens,ptx,iud,nud(iu),inrp,1,0)
do id=1,nud(iu)
uf(id)=ptx(id)
end do
call interp(densr,af,dens,ptx,iud,nud(iu),inrp,1,0)
do id=1,nud(iu)
af(id)=ptx(id)
end do
iud=nud(iu)
end if
C
C Contribution to J
C
do id=1,nud(iu)
rad1(id)=rad1(id)+wmuj(iu,id)*uf(id)
ali1(id)=ali1(id)+wmuj(iu,id)*af(id)
end do
FLUXc(IJ)=FLUXc(IJ)+WMUH(IU)*RIM(1)
C
C End loop over impact rays
C
100 CONTINUE
C
C solution of the transfer equation
C Variables:
C RAD1 - mean intensity
C
NDX=NUDF(KMU)
CALL INTERP(DENSR,SS0,DENS,SCX,NDX,ND,4,1,1)
DJTOT=0.
DO ID=1,ND
RAD1(ID)=RAD1(ID)*HALF
ALI1(ID)=ALI1(ID)*HALF
SSS=SCX(ID)
c DELTAJ=(UN+SSS*ALI1(ID))*(RAD1(ID)-RAD00(ID))
DELTAJ=(RAD1(ID)-RAD00(ID))/(UN-SSS*ALI1(ID))
c DELTAJ=RAD1(ID)-RAD00(ID)
RAD00(ID)=RAD00(ID)+DELTAJ
DJTOT=MAX(DJTOT,ABS(DELTAJ/RAD00(ID)))
END DO
write(6,1600) ij,2.997925e18/fr,itrali,djtot,djmax
IF(DJTOT.GT.DJMAX.AND.ITRALI.LE.NTRALI) GO TO 10
1600 format(' IJ,LAM,ITRALI,DJ',i5,f10.2,i5,1p2e12.3)
C
C end loop for electron scattering
C
CALL INTERP(DENS,RAD00,DENSF,RDX,ND,NDF,4,1,0)
do id=1,ndf
sccf(ij,id)=scc0(ID)*RDX(ID)
enddo
fluxc(ij)=fluxc(ij)*2.997925e18/wlamc(ij)**2*0.5
C
500 CONTINUE
RETURN
END
C
C
C ********************************************************************
C
C
SUBROUTINE RTEWIN(IU)
C =====================
C
C Solution of the radiative transfer equation - frequency by
C frequency - for the known source function.
C
C The numerical method used:
c Discontinuous Finite Element (DFE) method
c Castor, Dykema, Klein, 1992, ApJ 387, 561.
C
C Input through blank COMMON block:
C AB - two-dimensional array absorption coefficient (frequency,
C depth)
C STH - Thermal source function
C
C Version including velocity field and extension
C radiative transfer along ray IU
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
INCLUDE 'WINCOM.FOR'
PARAMETER (UN=1., TWO=2., HALF=0.5)
PARAMETER (TAUREF = 0.6666666666667)
DIMENSION ST0(2*MDEPF ),TAU(2*MDEPF ),AB0(2*MDEPF ),
* rip(2*MDEPF ),rim(2*MDEPF )
c dimension sc0(2*mdepf)
dimension sctd(2*mdepf)
COMMON/COPAC/AB(MOPAC,MDEPF),STH(MOPAC,MDEPF),SCH(MFREQC,MDEPF)
COMMON/EMFLUX/FLUX(MFREQ),FLUXC(MFREQC)
COMMON/CONSCV/SCCF(MFREQC,mdepf)
COMMON/REFDEP/IREFD(MFREQ)
C
IUD=NUDF(IU)
IF(IU.LE.NREXT) IUD=2*NUDF(IU)-1
IF(IUD.EQ.1) RETURN
IF(NFREQ.GT.1) dlama0=(wlobs(nfrobs)-wlobs(1))/(nfrobs-1)
C
C overall loop over frequencies (observer's frame)
C
DO 500 IJ=1,NFROBS
FR=FRQOBS(IJ)
wl0=wlobs(ij)
C
C Opacity and total source function
c interpolation in opacity table
C
IVK=NOPAC-2
DO ID=1,IUD
KY=KRAY(IU,ID)
YDR=DRAY(IU,ID)
YDR1=UN-YDR
dwlcom=wl0*DFRQF(IU,ID)
wlcom=wl0+dwlcom
if(wlcom.le.wlam(3)) then
abd1=ab(1,ky-1)
std1=sth(1,ky-1)
abd0=ab(1,ky)
std0=sth(1,ky)
ij1=1
else if(wlcom.ge.wlam(nfreq)) then
abd1=ab(nfreq,ky-1)
std1=sth(nfreq,ky-1)
abd0=ab(nfreq,ky)
std0=sth(nfreq,ky)
ij1=nfreq
else
xijap=(wlcom-wlam(3))/dlama0
ijap=int(xijap)
ijap=max(ijap,1)
ijap=min(ijap,nfreq)
wlap=wlam(ijap)
if(wlcom.lt.wlap) then
ij1=ijap-1
do iji=ijap-1,1,-1
if(wlcom.ge.wlam(iji)) go to 20
end do
20 continue
ij1=iji
else
ij1=ijap+1
do iji=ijap+1,nfreq
if(wlcom.lt.wlam(iji)) go to 30
end do
30 continue
ij1=iji-1
end if
xfa=(wlam(ij1+1)-wlcom)/(wlam(ij1+1)-wlam(ij1))
abd1=xfa*ab(ij1,ky-1)+(1.-xfa)*ab(ij1+1,ky-1)
std1=xfa*sth(ij1,ky-1)+(1.-xfa)*sth(ij1+1,ky-1)
abd0=xfa*ab(ij1,ky)+(1.-xfa)*ab(ij1+1,ky)
std0=xfa*sth(ij1,ky)+(1.-xfa)*sth(ij1+1,ky)
end if
AB0(ID)=YDR1*Abd1+YDR*abd0
ST0(ID)=YDR1*Std1+YDR*Std0
C
C Add scattering
C
IJC=IJCINT(IJ1)
IF(IFREQ.NE.17) THEN
SC1=YDR1*SCCF(ijc,KY-1)+YDR*SCCF(ijc,KY)
SC2=YDR1*SCCF(ijc+1,KY-1)+YDR*SCCF(ijc+1,KY)
SCT=FRX1(ij1)*SC1+(1.-FRX1(ij1))*SC2
sctd(id)=sct/ab0(id)
ST0(ID)=ST0(ID)+SCT/AB0(ID)
END IF
ENDDO
C
C Optical depth scale
C
TAU(1)=0.
IREF=1
IF(IU.LE.NFIRY) THEN
DO ID=1,IUD-1
JD=ID
IF(ID.GT.NUDF(IU)) JD=2*NUDF(IU)-ID-1
DT=HALF*(AB0(ID+1)+AB0(ID))*DELZF(IU,JD)
TAU(ID+1)=TAU(ID)+DT
END DO
ELSE
DO ID=1,IUD-1
JD=ID
IF(ID.GT.NUD(IU)) JD=2*NUD(IU)-ID-1
DT=HALF*(AB0(ID+1)+AB0(ID))*DELZ(IU,JD)
TAU(ID+1)=TAU(ID)+DT
END DO
END IF
if(iu.eq.kmu) then
DO ID=1,IUD-1
IF(TAU(ID).LE.TAUREF.AND.TAU(ID+1).GT.TAUREF) IREF=ID
END DO
irefd(ij)=iref
end if
C
C Outgoing intensity
C
IF(IU.LE.NREXT) THEN
C
C 1. External rays
C
ndt=iud
rip(ndt)=0.
dt0=tau(ndt)-tau(ndt-1)
dtaup1=dt0+un
dtau2=dt0*dt0
bb=two*dtaup1
cc=dt0*dtaup1
aa=dtau2+bb
rim(ndt)=(aa*rip(ndt)-cc*st0(ndt)+dt0*st0(ndt-1))/bb
do id=1,iud-1
jd=iud-id
dt0=tau(jd+1)-tau(jd)
dtaup1=dt0+un
dtau2=dt0*dt0
bb=two*dtaup1
cc=dt0*dtaup1
aa=un/(dtau2+bb)
rim(jd)=(two*rim(jd+1)+dt0*st0(jd+1)+cc*st0(jd))*aa
enddo
ELSE
C
C 2. core rays
C
NDT=IUD
FR15=FR*1.D-15
BNU=BN*FR15*FR15*FR15
PLAND=BNU/(EXP(HK*FR/TEMP(ND))-UN)
DPLAN=BNU/(EXP(HK*FR/TEMP(ND-1))-UN)
DPLAN=(PLAND-DPLAN)/(TAU(IUD)-TAU(IUD-1))
RIP(NDT)=PLAND+DPLAN
dt0=tau(ndt)-tau(ndt-1)
dtaup1=dt0+un
dtau2=dt0*dt0
bb=two*dtaup1
cc=dt0*dtaup1
aa=dtau2+bb
rim(ndt)=(aa*rip(ndt)-cc*st0(ndt)+dt0*st0(ndt-1))/bb
do id=iud-1,1,-1
dt0=tau(id+1)-tau(id)
dtaup1=dt0+un
dtau2=dt0*dt0
bb=two*dtaup1
cc=dt0*dtaup1
aa=un/(dtau2+bb)
rim(id)=(two*rim(id+1)+dt0*st0(id+1)+cc*st0(id))*aa
enddo
ENDIF
FLUX(IJ)=FLUX(IJ)+WMUH(IU)*RIM(1)
c
c if(ij.eq.1.or.ij.eq.3.or.ij.eq.5.or.ij.eq.9.or.ij.eq.83) then
c if(iu.eq.2.or.iu.eq.20.or.iu.eq.60.or.iu.eq.80) then
c do id=1,iud
c write(79,679) ij,iu,id,ab0(id),st0(id),sctd(id),
c * tau(id),rim(id),
c * flux(ij)
c end do
c end if
c end if
c 679 format(3i5,1p6e12.4)
C
c CFX=WMUH(IU)*RIM(1)
c write(78,780) ij,iu,wlobs(ij),cfx,RIM(1)
c 780 format(2i4,f10.3,1p2e16.8)
C
c if(iflux.ge.1) then
C
C output of emergent specific intensities to Unit 10 (line points)
C or 18 (two continuum points)
C
c IF(IJ.GT.2) THEN
c WRITE(10,618) WLAM(IJ),FLUX(IJ),RIM(1),IU
c ELSE
c WRITE(18,618) WLAM(IJ),FLUX(IJ),RIM(1),IU
c END IF
c end if
c 618 FORMAT(1H ,f10.3,2pe15.5,i5)
C
C if needed (if iprin.ge.3), output of interesting physical
C quantities at the monochromatic optical depth tau(nu)=2/3
C
c IF(IPRIN.GE.3) THEN
c T0=LOG(TAU(IREF+1)/TAU(IREF))
c X0=LOG(TAU(IREF+1)/TAUREF)/T0
c X1=LOG(TAUREF/TAU(IREF))/T0
c DMREF=EXP(LOG(DM(IREF))*X0+LOG(DM(IREF+1))*X1)
c TREF=EXP(LOG(TEMP(IREF))*X0+LOG(TEMP(IREF+1))*X1)
c STREF=EXP(LOG(ST0(IREF))*X0+LOG(ST0(IREF+1))*X1)
c SSREF=EXP(LOG(-SS0(IREF))*X0+LOG(-SS0(IREF+1))*X1)
c SREF=STREF+SSREF
c ALM=2.997925E18/FREQ(IJ)
c WRITE(36,636) IJ,ALM,IREF,DMREF,TREF,STREF,SSREF,SREF
c 636 FORMAT(1H ,I3,F10.3,I4,1PE10.3,0PF10.1,1X,1P3E10.3)
c END IF
C
C Contribution to J and H
C
c do id=1,nud(iu)
c rad1(id)=rad1(id)+wmuj(iu,id)*uf(id)
c ali1(id)=ali1(id)+wmuj(iu,id)*af(id)
c end do
c FLUXc(IJ)=FLUXc(IJ)+WMUH(IU)*RIM(1)
C
C
C end of the loop over frequencies
C
500 CONTINUE
RETURN
END
C
C
C ***********************************************************************
C
C
SUBROUTINE VELSET
C =================
C
C Determination of the macroscopic velocity as a function of depth
C
C Input:
C
C RSTAR - stellar radius (in solar radii or in cm)
C RMAX - maximum radial extent (in stellar radii)
C AMLOSS - mass loss rate ( in solar masses per year)
C VELMAX - maximum velocity (= V_infinity) - in km/s
C BETA - beta exponent in the beta-law for velocity
C NDRAD - Number of layers
C NRCORE - Number of core rays
C
C
c parameter (un=1.,two=2.)
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'WINCOM.FOR'
dimension zz(mdepth),vel0(mdepth),rrel(mdepth),
c * dvel0(mdepth),vel1(mdepth),hstt(mdepth),
* den0(mdepth),vel00(mdepth),ind(mdepth),
* densa(mdepth),eleca(mdepth),tempa(mdepth),
* rda(mdepth),rrela(mdepth),vel0a(mdepth)
c
un=1
two=2.
read(55,*,err=100,end=100) rstar,rmax,amloss,vinf,beta,
* ndrad,nrcore,nfiry,ndf,nda
rstr=rstar
if(rstar.lt.1.e5) rstr=rstar*6.9598e10
amdot=amloss*6.3029e25
RCORE=RSTR
XMDOT=amdot
BETAV=beta
con=amdot/12.566e5
conr=con/rstr/rstr
nrext0=ndrad-nd
zz(nd+nrext0)=0.
rd(nd+nrext0)=rstr
rrel(nd+nrext0)=1.
do iid=1,nd-1
id=nd-iid
zz(id+nrext0)=zz(id+1+nrext0)+2.*(dm(id+1)-dm(id))/
* (dens(id+1)+dens(id))
rd(id+nrext0)=rstr+zz(id+nrext0)
rrel(id+nrext0)=rd(id+nrext0)/rstr
end do
C
do id=1+nrext0,nd+nrext0
vel0(id)=con/rd(id)**2/dens(id-nrext0)
vel00(id)=vel0(id)
if(vel00(id).gt.vinf) vel00(id)=vinf
end do
vin=vel0(nrext0+1)
r1=rrel(nrext0+1)
C
if(rrel(1+nrext0).lt.rmax.and.nd.lt.ndrad) then
rl1=1.-1./rrel(1+nrext0)
rl2=1.-1./rmax
drl=(rl2-rl1)/nrext0
do id=1,nrext0
rlo=rl2-(id-1)*drl
rrel(id)=1./(1.-rlo)
rd(id)=rrel(id)*rstr
end do
end if
c
do id=nd+nrext0-1,nrext0+1,-1
r0=rrel(id)
numid=0
do id1=nd+nrext0-1,nrext0+1,-1
x=un-r0/rrel(id1)
if(x.lt.1.e-6) x=1.e-6
v2=vinf*x**beta
ind(id1)=0
if(v2.ge.vel0(id1)) then
ind(id1)=id1
numid=numid+1
end if
end do
if(numid.eq.0) go to 10
rsum=0.
isum=0
do id1=nd+nrext0-1,nrext0+1,-1
if(ind(id1).gt.0) then
rsum=rsum+rrel(id1)
isum=isum+id1
endif
end do
rc=rsum/numid
idc=isum/numid
numid0=numid
r00=r0
end do
10 continue
v1=vel0(idc)
r0=(r0+r00)*0.5
if(r0.lt.rc) v2=vinf*(un-r0/rc)**beta
write(6,602) numid0,idc,rc,r0,v1,v2
602 format('numid,idc,rc,r0,v1,v2 ',2i4,4f10.5)
c
do id=nd+nrext0-1,1,-1
if(rrel(id).gt.rc.and.rrel(id).gt.r0)
* vel0(id)=vinf*(1.-r0/rrel(id))**beta
end do
c
t1=temp(1)
erel=elec(1)/dens(1)
do id=nd,1,-1
temp(id+nrext0)=temp(id)
den0(id+nrext0)=dens(id)
elec(id+nrext0)=elec(id)
do i=1,nlevel
popul(i,id+nrext0)=popul(i,id)
end do
WMM(ID+nrext0)=WMM(id)
WMY(ID+nrext0)=WMY(id)
YTOT(ID+nrext0)=YTOT(id)
do i=1,natom
relab(i,id+nrext0)=relab(i,id)
abund(i,id+nrext0)=abund(i,id)
end do
do i=1,matom
abndd(i,id+nrext0)=abndd(i,id)
end do
end do
C
do id=1,nrext0
TEMP(ID)=T1
WMM(ID)=WMM(NREXT0+1)
WMY(ID)=WMY(NREXT0+1)
YTOT(ID)=YTOT(NREXT0+1)
do i=1,natom
relab(i,id)=relab(i,nrext0+1)
abund(i,id)=abund(i,nrext0+1)
end do
do i=1,matom
abndd(i,id)=abndd(i,nrext0+1)
end do
end do
idstd=idstd+nrext0
c
VINF=vinf*1.e5
write(6,600)
do id=1,nd+nrext0
if(vel0(id).gt.0.) dens(id)=con/rd(id)**2/vel0(id)
VEL(ID)=vel0(id)*1.e5
c velc(id)=vel0(id)/2.997925e5
end do
c
do id=nd,1,-1
id1=id+nrext0
elec(id1)=elec(id1)*dens(id1)/den0(id1)
do i=1,nlevel
popul(i,id1)=popul(i,id1)*dens(id1)/den0(id1)
end do
end do
c
do id=1,nrext0
elec(id)=elec(nrext0+1)*dens(id)/dens(nrext0+1)
do i=1,nlevel
popul(i,id)=popul(i,nrext0+1)*dens(id)/dens(nrext0+1)
end do
end do
C
ND=NDRAD
if(ndf.eq.0) ndf=nd
do id=1,nd
write(6,601) id,dm(id),temp(id),elec(id),dens(id),rd(id),
* rrel(id),vel0(id)
write(96,601) id,dm(id),temp(id),elec(id),dens(id),rd(id),
* rrel(id),vel0(id),vel00(id)
end do
600 format(' ID M TEMP ELEC DENS ',
* 'R Rrel VEL'/)
601 format(1h ,i3,1pe10.3,0pf8.0,1p3e12.3,0pf10.4,0p2f8.2)
C
C
if(nda.gt.0) then
XR1=LOG(DENS(1))
XR2=LOG(DENS(ND))
DXR=(XR2-XR1)/FLOAT(NDA-1)
DO ID=1,NDA
DENSA(ID)=EXP(XR1+FLOAT(ID-1)*DXR)
END DO
CALL INTERP(DENS,TEMP,DENSA,TEMPA,ND,NDA,3,1,1)
CALL INTERP(DENS,ELEC,DENSA,ELECA,ND,NDA,3,1,1)
CALL INTERP(DENS,RD,DENSA,RDA,ND,NDA,3,1,1)
CALL INTERP(DENS,RREl,DENSA,RRELA,ND,NDA,3,1,1)
CALL INTERP(DENS,VEL0,DENSA,VEL0A,ND,NDA,3,1,1)
do id=1,nda
write(6,603) id,tempa(id),eleca(id),densa(id),rda(id),
* rrela(id),vel0a(id)
write(96,603) id,tempa(id),eleca(id),densa(id),rda(id),
* rrela(id),vel0a(id)
end do
end if
603 format(1h ,i3,0pf8.0,1p3e12.3,0pf10.4,0p2f8.2)
C
100 continue
return
end
C
C
C ***********************************************************************
C
C
SUBROUTINE RADTEM
C =================
C
C determination of the radiation temperatures
C after Schmutz (1991); inversion done by Newton-Raphson
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'WINCOM.FOR'
common/velaux/velmax,iemoff,nltoff,itrad
PARAMETER (CON=2.0706D-16, un=1.)
parameter (nterad=3)
C
DO ID=1,ND
rx=RD(ND)/RD(ID)
c WDIL(ID)=0.5*(1.-sqrt(1.-rx*rx))
wdil(id)=un-sqrt(un-rx*rx)
END DO
DO ITRD=1,NTERAD
if(itrad.eq.0) then
do id=1,nd
trad(itrd,id)=temp(id)
end do
else
II=0
JJ=0
IF(ITRD.LE.NION) II=NFIRST(ITRD)
IF(ITRD.LE.NION) JJ=NNEXT(ITRD)
DO ID=1,ND
TRAD(ITRD,ID)=TEMP(ID)
IF(II.GT.0) THEN
c IF(II.GT.100000) THEN
AA=POPUL(JJ,ID)/POPUL(II,ID)*ELEC(ID)*CON
AA=AA*G(II)/G(JJ)/WDIL(ID)/SQRT(TEMP(ID))
TR=TEMP(ID)
ITER=0
10 ITER=ITER+1
XX=ENION(II)/BOLK/TR
DTR=(AA*EXP(XX)-TR)/(1.+XX)
DTRR=DTR/TR
TR=TR+DTR
IF(ABS(DTRR).GT.1.E-3.AND.ITER.LT.100) GO TO 10
TRAD(ITRD,ID)=TR
END IF
END DO
end if
END DO
write(6,600)
do id=1,nd
write(6,601) id,temp(id),trad(1,id),trad(2,id),trad(3,id)
end do
600 format(/' radiation temperatures/')
601 format(i5,4f10.1)
RETURN
END
C
C
C ***********************************************************************
C
C
FUNCTION SBFCH(FR,T)
C ====================
C
C cross-section times partition function for CH
C
C from Kurucz ATLAS9
C
INCLUDE 'PARAMS.FOR'
parameter (fihu=500.,fihui=1./fihu,
* twhu=200.,twhui=1./twhu,
* tenl=2.30258509299405E0)
c
DIMENSION CROSSCH(15,105),PARTCH(41),CROSSCHT(15)
DIMENSION C1(150),C2(150),C3(150),C4(150),C5(150)
DIMENSION C6(150),C7(150),C8(150),C9(150),C10(150)
DIMENSION C11(75)
C
EQUIVALENCE (CROSSCH(1, 1),C1(1)),(CROSSCH(1,11),C2(1))
EQUIVALENCE (CROSSCH(1,21),C3(1)),(CROSSCH(1,31),C4(1))
EQUIVALENCE (CROSSCH(1,41),C5(1)),(CROSSCH(1,51),C6(1))
EQUIVALENCE (CROSSCH(1,61),C7(1)),(CROSSCH(1,71),C8(1))
EQUIVALENCE (CROSSCH(1,81),C9(1)),(CROSSCH(1,91),C10(1))
EQUIVALENCE (CROSSCH(1,101),C11(1))
C
DATA C1/-38.000,-38.000,-38.000,-38.000,-38.000,-38.000,-38.000,
1-38.000,-38.000,-38.000,-38.000,-38.000,-38.000,-38.000,-38.000,
2 -32.727,-31.151,-30.133,-29.432,-28.925,-28.547,-28.257,
2-28.030,-27.848,-27.701,-27.580,-27.479,-27.395,-27.322,-27.261,
3 -31.588,-30.011,-28.993,-28.290,-27.784,-27.405,-27.115,
3-26.887,-26.705,-26.558,-26.437,-26.336,-26.251,-26.179,-26.117,
4 -30.407,-28.830,-27.811,-27.108,-26.601,-26.223,-25.932,
4-25.705,-25.523,-25.376,-25.255,-25.154,-25.069,-24.997,-24.935,
5 -29.513,-27.937,-26.920,-26.218,-25.712,-25.334,-25.043,
5-24.816,-24.635,-24.487,-24.366,-24.266,-24.181,-24.109,-24.047,
6 -28.910,-27.341,-26.327,-25.628,-25.123,-24.746,-24.457,
6-24.230,-24.049,-23.902,-23.782,-23.681,-23.597,-23.525,-23.464,
7 -28.517,-26.961,-25.955,-25.261,-24.760,-24.385,-24.098,
7-23.873,-23.694,-23.548,-23.429,-23.329,-23.245,-23.174,-23.113,
8 -28.213,-26.675,-25.680,-24.993,-24.497,-24.127,-23.843,
8-23.620,-23.443,-23.299,-23.181,-23.082,-22.999,-22.929,-22.869,
9 -27.942,-26.427,-25.446,-24.769,-24.280,-23.915,-23.635,
9-23.416,-23.241,-23.100,-22.983,-22.887,-22.805,-22.736,-22.677,
A -27.706,-26.210,-25.241,-24.572,-24.088,-23.728,-23.451,
A-23.235,-23.063,-22.923,-22.808,-22.713,-22.633,-22.565,-22.507/
DATA C2/-27.475,-26.000,-25.043,-24.382,-23.905,-23.548,-23.275,
1-23.062,-22.891,-22.753,-22.640,-22.546,-22.467,-22.400,-22.343,
2 -27.221,-25.783,-24.844,-24.193,-23.723,-23.372,-23.102,
2-22.892,-22.724,-22.588,-22.476,-22.384,-22.306,-22.240,-22.184,
3 -26.863,-25.506,-24.607,-23.979,-23.523,-23.182,-22.919,
3-22.714,-22.550,-22.417,-22.309,-22.218,-22.142,-22.078,-22.023,
4 -26.685,-25.347,-24.457,-23.835,-23.382,-23.044,-22.784,
4-22.580,-22.418,-22.286,-22.178,-22.089,-22.014,-21.950,-21.896,
5 -26.085,-24.903,-24.105,-23.538,-23.120,-22.805,-22.561,
5-22.370,-22.217,-22.093,-21.991,-21.906,-21.835,-21.775,-21.723,
6 -25.902,-24.727,-23.936,-23.376,-22.964,-22.654,-22.415,
6-22.227,-22.076,-21.955,-21.855,-21.772,-21.702,-21.644,-21.593,
7 -25.215,-24.196,-23.510,-23.019,-22.655,-22.378,-22.163,
7-21.992,-21.855,-21.744,-21.653,-21.577,-21.513,-21.459,-21.412,
8 -24.914,-23.937,-23.284,-22.820,-22.475,-22.212,-22.007,
8-21.845,-21.715,-21.609,-21.522,-21.449,-21.388,-21.336,-21.292,
9 -24.519,-23.637,-23.039,-22.606,-22.281,-22.030,-21.834,
9-21.678,-21.552,-21.450,-21.365,-21.295,-21.236,-21.185,-21.142,
A -24.086,-23.222,-22.650,-22.246,-21.948,-21.722,-21.546,
A-21.407,-21.296,-21.205,-21.131,-21.070,-21.018,-20.974,-20.937/
DATA C3/-23.850,-23.018,-22.472,-22.088,-21.805,-21.590,-21.422,
1-21.289,-21.182,-21.095,-21.024,-20.964,-20.914,-20.872,-20.835,
2 -23.136,-22.445,-21.994,-21.676,-21.440,-21.259,-21.117,
2-21.004,-20.912,-20.837,-20.775,-20.723,-20.679,-20.642,-20.611,
3 -23.199,-22.433,-21.927,-21.573,-21.314,-21.119,-20.969,
3-20.851,-20.758,-20.682,-20.621,-20.571,-20.529,-20.493,-20.463,
4 -22.696,-22.020,-21.585,-21.286,-21.071,-20.912,-20.791,
4-20.697,-20.622,-20.563,-20.514,-20.475,-20.442,-20.414,-20.391,
5 -22.119,-21.557,-21.194,-20.943,-20.761,-20.624,-20.518,
5-20.434,-20.367,-20.313,-20.268,-20.231,-20.201,-20.175,-20.153,
6 -21.855,-21.300,-20.931,-20.673,-20.485,-20.344,-20.235,
6-20.151,-20.084,-20.031,-19.988,-19.953,-19.924,-19.900,-19.880,
7 -21.126,-20.673,-20.382,-20.184,-20.044,-19.943,-19.868,
7-19.811,-19.769,-19.736,-19.710,-19.690,-19.674,-19.662,-19.652,
8 -20.502,-20.150,-19.922,-19.766,-19.657,-19.578,-19.520,
8-19.478,-19.446,-19.422,-19.404,-19.390,-19.379,-19.371,-19.365,
9 -20.030,-19.724,-19.530,-19.399,-19.309,-19.245,-19.199,
9-19.166,-19.142,-19.125,-19.112,-19.103,-19.096,-19.091,-19.088,
A -19.640,-19.364,-19.189,-19.074,-18.996,-18.943,-18.906,
A-18.881,-18.863,-18.852,-18.844,-18.839,-18.837,-18.836,-18.836/
DATA C4/-19.333,-19.092,-18.939,-18.838,-18.770,-18.725,-18.695,
1-18.675,-18.662,-18.655,-18.651,-18.649,-18.649,-18.651,-18.653,
2 -19.070,-18.880,-18.756,-18.674,-18.621,-18.585,-18.562,
2-18.548,-18.540,-18.536,-18.536,-18.537,-18.539,-18.542,-18.546,
3 -18.851,-18.708,-18.617,-18.558,-18.521,-18.498,-18.484,
3-18.477,-18.475,-18.476,-18.478,-18.482,-18.487,-18.493,-18.498,
4 -18.709,-18.599,-18.533,-18.494,-18.471,-18.459,-18.454,
4-18.454,-18.457,-18.462,-18.469,-18.476,-18.483,-18.490,-18.498,
5 -18.656,-18.572,-18.524,-18.497,-18.485,-18.480,-18.482,
5-18.486,-18.493,-18.501,-18.510,-18.519,-18.527,-18.536,-18.544,
6 -18.670,-18.613,-18.582,-18.566,-18.561,-18.562,-18.568,
6-18.575,-18.583,-18.592,-18.601,-18.610,-18.619,-18.627,-18.635,
7 -18.728,-18.700,-18.687,-18.683,-18.685,-18.691,-18.698,
7-18.706,-18.715,-18.723,-18.731,-18.739,-18.745,-18.752,-18.758,
8 -18.839,-18.835,-18.836,-18.842,-18.849,-18.857,-18.865,
8-18.872,-18.878,-18.883,-18.888,-18.892,-18.895,-18.898,-18.900,
9 -19.034,-19.041,-19.049,-19.057,-19.064,-19.069,-19.071,
9-19.071,-19.070,-19.068,-19.065,-19.061,-19.058,-19.054,-19.051,
A -19.372,-19.378,-19.382,-19.380,-19.372,-19.359,-19.341,
A-19.321,-19.300,-19.280,-19.261,-19.243,-19.227,-19.212,-19.199/
DATA C5/-19.780,-19.777,-19.763,-19.732,-19.686,-19.631,-19.573,
1-19.517,-19.465,-19.419,-19.379,-19.344,-19.314,-19.288,-19.265,
2 -20.151,-20.133,-20.087,-20.009,-19.911,-19.810,-19.715,
2-19.631,-19.559,-19.497,-19.446,-19.402,-19.365,-19.333,-19.306,
3 -20.525,-20.454,-20.312,-20.138,-19.970,-19.825,-19.705,
3-19.607,-19.528,-19.464,-19.411,-19.367,-19.330,-19.300,-19.274,
4 -20.869,-20.655,-20.366,-20.104,-19.894,-19.731,-19.604,
4-19.505,-19.426,-19.363,-19.312,-19.271,-19.236,-19.208,-19.184,
5 -21.179,-20.768,-20.380,-20.081,-19.856,-19.686,-19.556,
5-19.454,-19.375,-19.311,-19.260,-19.218,-19.184,-19.155,-19.131,
6 -21.167,-20.601,-20.206,-19.925,-19.719,-19.565,-19.447,
6-19.355,-19.283,-19.226,-19.180,-19.143,-19.112,-19.087,-19.066,
7 -20.918,-20.348,-19.976,-19.720,-19.536,-19.401,-19.299,
7-19.220,-19.159,-19.112,-19.073,-19.043,-19.018,-18.998,-18.981,
8 -20.753,-20.204,-19.847,-19.602,-19.427,-19.299,-19.203,
8-19.129,-19.072,-19.028,-18.993,-18.965,-18.942,-18.924,-18.909,
9 -20.456,-19.987,-19.677,-19.460,-19.302,-19.186,-19.098,
9-19.030,-18.978,-18.937,-18.904,-18.878,-18.857,-18.841,-18.827,
A -20.154,-19.734,-19.461,-19.272,-19.136,-19.035,-18.960,
A-18.902,-18.858,-18.824,-18.797,-18.775,-18.759,-18.745,-18.735/
DATA C6/-19.941,-19.544,-19.288,-19.114,-18.992,-18.903,-18.837,
1-18.788,-18.751,-18.723,-18.701,-18.684,-18.671,-18.661,-18.654,
2 -19.657,-19.321,-19.104,-18.956,-18.853,-18.779,-18.724,
2-18.684,-18.655,-18.632,-18.615,-18.602,-18.592,-18.585,-18.579,
3 -19.388,-19.109,-18.930,-18.810,-18.725,-18.664,-18.620,
3-18.586,-18.562,-18.543,-18.529,-18.518,-18.510,-18.503,-18.498,
4 -19.201,-18.953,-18.794,-18.686,-18.611,-18.556,-18.515,
4-18.485,-18.462,-18.446,-18.433,-18.423,-18.416,-18.410,-18.406,
5 -18.923,-18.719,-18.588,-18.500,-18.439,-18.396,-18.365,
5-18.344,-18.328,-18.318,-18.311,-18.307,-18.304,-18.303,-18.302,
6 -18.614,-18.458,-18.361,-18.298,-18.258,-18.232,-18.216,
6-18.206,-18.202,-18.201,-18.202,-18.205,-18.208,-18.213,-18.218,
7 -18.419,-18.295,-18.222,-18.178,-18.153,-18.139,-18.132,
7-18.131,-18.133,-18.138,-18.143,-18.150,-18.157,-18.164,-18.172,
8 -18.296,-18.201,-18.148,-18.118,-18.101,-18.094,-18.091,
8-18.093,-18.096,-18.101,-18.107,-18.113,-18.120,-18.126,-18.132,
9 -18.021,-17.992,-17.977,-17.970,-17.967,-17.968,-17.970,
9-17.974,-17.978,-17.983,-17.989,-17.994,-18.000,-18.005,-18.011,
A -17.694,-17.686,-17.686,-17.691,-17.698,-17.708,-17.718,
A-17.729,-17.740,-17.750,-17.761,-17.771,-17.781,-17.790,-17.798/
DATA C7/-17.374,-17.384,-17.400,-17.420,-17.440,-17.462,-17.483,
1-17.503,-17.523,-17.541,-17.558,-17.575,-17.590,-17.603,-17.616,
2 -17.169,-17.199,-17.230,-17.262,-17.293,-17.323,-17.351,
2-17.378,-17.404,-17.427,-17.449,-17.469,-17.488,-17.505,-17.520,
3 -17.151,-17.184,-17.217,-17.250,-17.282,-17.313,-17.342,
3-17.369,-17.395,-17.418,-17.440,-17.461,-17.480,-17.497,-17.513,
4 -17.230,-17.260,-17.290,-17.320,-17.348,-17.375,-17.401,
4-17.425,-17.448,-17.469,-17.489,-17.508,-17.525,-17.541,-17.556,
5 -17.379,-17.403,-17.425,-17.446,-17.467,-17.486,-17.505,
5-17.524,-17.541,-17.558,-17.574,-17.588,-17.602,-17.615,-17.627,
6 -17.596,-17.604,-17.609,-17.612,-17.616,-17.622,-17.628,
6-17.636,-17.644,-17.652,-17.661,-17.670,-17.679,-17.687,-17.695,
7 -17.846,-17.823,-17.795,-17.770,-17.750,-17.735,-17.725,
7-17.719,-17.716,-17.715,-17.716,-17.719,-17.722,-17.726,-17.730,
8 -18.089,-18.015,-17.942,-17.882,-17.836,-17.802,-17.777,
8-17.760,-17.748,-17.740,-17.736,-17.734,-17.733,-17.734,-17.736,
9 -18.299,-18.156,-18.038,-17.947,-17.881,-17.833,-17.798,
9-17.774,-17.757,-17.745,-17.738,-17.733,-17.730,-17.729,-17.729,
A -18.441,-18.243,-18.096,-17.991,-17.915,-17.860,-17.821,
A-17.792,-17.772,-17.757,-17.746,-17.738,-17.733,-17.730,-17.728/
DATA C8/-18.474,-18.262,-18.111,-18.004,-17.926,-17.869,-17.826,
1-17.795,-17.771,-17.753,-17.740,-17.730,-17.722,-17.717,-17.713,
2 -18.387,-18.191,-18.053,-17.952,-17.878,-17.823,-17.782,
2-17.752,-17.729,-17.711,-17.698,-17.689,-17.681,-17.676,-17.672,
3 -18.161,-17.990,-17.874,-17.793,-17.736,-17.696,-17.668,
3-17.648,-17.634,-17.625,-17.619,-17.616,-17.614,-17.614,-17.615,
4 -17.908,-17.774,-17.690,-17.637,-17.604,-17.583,-17.572,
4-17.567,-17.566,-17.568,-17.571,-17.576,-17.581,-17.587,-17.593,
5 -17.681,-17.589,-17.540,-17.515,-17.506,-17.505,-17.511,
5-17.520,-17.530,-17.542,-17.554,-17.566,-17.578,-17.589,-17.600,
6 -17.647,-17.606,-17.584,-17.575,-17.573,-17.576,-17.582,
6-17.589,-17.597,-17.605,-17.614,-17.623,-17.631,-17.639,-17.646,
7 -17.300,-17.291,-17.291,-17.297,-17.307,-17.319,-17.333,
7-17.347,-17.361,-17.375,-17.389,-17.402,-17.415,-17.427,-17.438,
8 -16.786,-16.802,-16.825,-16.853,-16.883,-16.914,-16.944,
8-16.974,-17.003,-17.030,-17.055,-17.079,-17.101,-17.122,-17.141,
9 -16.489,-16.533,-16.579,-16.625,-16.670,-16.713,-16.754,
9-16.793,-16.830,-16.864,-16.896,-16.925,-16.952,-16.977,-17.000,
A -16.694,-16.724,-16.756,-16.789,-16.823,-16.856,-16.888,
A-16.919,-16.949,-16.976,-17.002,-17.026,-17.048,-17.069,-17.088/
DATA C9/-16.935,-16.951,-16.971,-16.993,-17.016,-17.040,-17.064,
1-17.088,-17.111,-17.132,-17.153,-17.172,-17.190,-17.206,-17.222,
2 -17.200,-17.208,-17.220,-17.235,-17.251,-17.269,-17.286,
2-17.304,-17.322,-17.338,-17.354,-17.369,-17.384,-17.397,-17.409,
3 -17.597,-17.591,-17.589,-17.590,-17.594,-17.600,-17.608,
3-17.617,-17.626,-17.635,-17.645,-17.654,-17.662,-17.671,-17.679,
4 -18.166,-18.134,-18.107,-18.085,-18.068,-18.056,-18.047,
4-18.041,-18.038,-18.036,-18.035,-18.035,-18.036,-18.038,-18.039,
5 -19.000,-18.917,-18.838,-18.770,-18.714,-18.669,-18.632,
5-18.603,-18.579,-18.560,-18.545,-18.532,-18.522,-18.514,-18.507,
6 -20.313,-19.982,-19.754,-19.592,-19.472,-19.380,-19.309,
6-19.253,-19.208,-19.172,-19.143,-19.119,-19.099,-19.083,-19.069,
7 -19.751,-19.611,-19.520,-19.461,-19.423,-19.398,-19.382,
7-19.372,-19.366,-19.364,-19.363,-19.364,-19.366,-19.368,-19.371,
8 -19.581,-19.431,-19.337,-19.277,-19.240,-19.218,-19.207,
8-19.202,-19.203,-19.207,-19.212,-19.220,-19.228,-19.236,-19.245,
9 -19.685,-19.506,-19.389,-19.311,-19.258,-19.222,-19.199,
9-19.184,-19.175,-19.170,-19.168,-19.169,-19.171,-19.174,-19.177,
A -19.977,-19.756,-19.606,-19.501,-19.425,-19.370,-19.330,
A-19.300,-19.278,-19.262,-19.250,-19.241,-19.235,-19.230,-19.227/
DATAC10/-20.445,-20.158,-19.958,-19.815,-19.711,-19.633,-19.574,
1-19.528,-19.493,-19.465,-19.442,-19.425,-19.410,-19.398,-19.389,
2 -20.980,-20.625,-20.391,-20.229,-20.110,-20.020,-19.949,
2-19.892,-19.846,-19.807,-19.775,-19.748,-19.724,-19.704,-19.687,
3 -21.404,-21.023,-20.771,-20.594,-20.461,-20.358,-20.274,
3-20.205,-20.148,-20.099,-20.058,-20.022,-19.991,-19.965,-19.942,
4 -21.309,-20.970,-20.753,-20.603,-20.495,-20.412,-20.348,
4-20.295,-20.252,-20.215,-20.185,-20.158,-20.135,-20.115,-20.098,
5 -21.221,-20.906,-20.707,-20.574,-20.480,-20.412,-20.361,
5-20.322,-20.292,-20.268,-20.249,-20.233,-20.221,-20.210,-20.201,
6 -21.441,-21.097,-20.878,-20.728,-20.623,-20.546,-20.489,
6-20.446,-20.413,-20.387,-20.368,-20.352,-20.340,-20.330,-20.322,
7 -21.668,-21.305,-21.071,-20.911,-20.797,-20.713,-20.650,
7-20.602,-20.565,-20.536,-20.514,-20.496,-20.481,-20.470,-20.460,
8 -21.926,-21.556,-21.316,-21.150,-21.031,-20.942,-20.874,
8-20.822,-20.782,-20.750,-20.724,-20.704,-20.687,-20.674,-20.663,
9 -22.319,-21.937,-21.686,-21.510,-21.380,-21.282,-21.206,
9-21.147,-21.099,-21.061,-21.031,-21.006,-20.985,-20.968,-20.954,
A -22.969,-22.561,-22.288,-22.092,-21.945,-21.832,-21.743,
A-21.672,-21.616,-21.570,-21.533,-21.503,-21.477,-21.457,-21.439/
DATAC11/-24.001,-23.527,-23.199,-22.957,-22.772,-22.629,-22.516,
1-22.427,-22.355,-22.297,-22.250,-22.212,-22.180,-22.153,-22.131,
2 -24.233,-23.774,-23.477,-23.273,-23.128,-23.022,-22.943,
2-22.883,-22.837,-22.802,-22.774,-22.752,-22.735,-22.721,-22.710,
3 -24.550,-23.913,-23.521,-23.266,-23.094,-22.976,-22.893,
3-22.836,-22.796,-22.768,-22.750,-22.737,-22.730,-22.726,-22.725,
4 -24.301,-23.665,-23.274,-23.019,-22.848,-22.730,-22.648,
4-22.591,-22.552,-22.525,-22.507,-22.495,-22.489,-22.485,-22.485,
5 -24.519,-23.883,-23.491,-23.237,-23.065,-22.948,-22.866,
5-22.809,-22.770,-22.743,-22.724,-22.713,-22.706,-22.703,-22.702/
DATA PARTCH/
1 203.741, 249.643, 299.341, 353.477, 412.607, 477.237,
2 547.817, 624.786, 708.543, 799.463, 897.912, 1004.227,
3 1118.738, 1241.761, 1373.588, 1514.481, 1664.677, 1824.394,
4 1993.801, 2173.050, 2362.234, 2561.424, 2770.674, 2989.930,
5 3219.204, 3458.378, 3707.355, 3966.005, 4234.155, 4511.604,
6 4798.135, 5093.554, 5397.593, 5709.948, 6030.401, 6358.646,
7 6694.379, 7037.313, 7387.147, 7743.579, 8106.313/
DATA FREQ1/0./
C
SBFCH=0.
IF(FR.EQ.FREQ1) GO TO 30
FREQ1=FR
WAVENO=FR/2.99792458E10
EVOLT=WAVENO/8065.479
N=int(EVOLT*10.)
EN=FLOAT(N)*.1
IF(N.LT.20) RETURN
IF(N.GE.105) RETURN
c
DO IT=1,15
CROSSCHT(IT)=(CROSSCH(IT,N)+(CROSSCH(IT,N+1)-CROSSCH(IT,N))*
* (EVOLT-EN)*10.)
END DO
c
c interpolate to obtain partition function
c
30 IF(T.GE.9000.) RETURN
IF(N.LT.20) RETURN
IF(N.GE.105) RETURN
IT=int((T-1000.)*twhui+1.)
IF(IT.LT.1) IT=1
TN=FLOAT(IT)*twhu+800.
PART=PARTCH(IT)+(PARTCH(IT+1)-PARTCH(IT))*(T-TN)*twhui
c
c interpolate to obtain cross-section
c
IT=int((T-2000.)*fihui+1.)
IF(IT.LT.1) IT=1
TN=FLOAT(IT)*fihu+1500.
SBFCH=EXP((CROSSCHT(IT)+(CROSSCHT(IT+1)-CROSSCHT(IT))*
c * (T-TN)*fihui)*tenl)*PART
* (T-TN)*fihui)*tenl)
RETURN
END
C
C
C ***********************************************************************
C
C
FUNCTION SBFOH(FR,T)
C ====================
C
C cross-section times partition function for OH
C
C from Kurucz ATLAS9
C
INCLUDE 'PARAMS.FOR'
parameter (fihu=500.,fihui=1./fihu,
* twhu=200.,twhui=1./twhu,
* tenl=2.30258509299405E0)
DIMENSION CROSSOH(15,130),PARTOH(41),CROSSOHT(15)
DIMENSION C1(150),C2(150),C3(150),C4(150),C5(150)
DIMENSION C6(150),C7(150),C8(150),C9(150),C10(150)
DIMENSION C11(150),C12(150),C13(150)
EQUIVALENCE (CROSSOH(1, 1),C1(1)),(CROSSOH(1,11),C2(1))
EQUIVALENCE (CROSSOH(1,21),C3(1)),(CROSSOH(1,31),C4(1))
EQUIVALENCE (CROSSOH(1,41),C5(1)),(CROSSOH(1,51),C6(1))
EQUIVALENCE (CROSSOH(1,61),C7(1)),(CROSSOH(1,71),C8(1))
EQUIVALENCE (CROSSOH(1,81),C9(1)),(CROSSOH(1,91),C10(1))
EQUIVALENCE (CROSSOH(1,101),C11(1))
EQUIVALENCE (CROSSOH(1,111),C12(1))
EQUIVALENCE (CROSSOH(1,121),C13(1))
C
DATA C1/-30.855,-29.121,-27.976,-27.166,-26.566,-26.106,-25.742,
1-25.448,-25.207,-25.006,-24.836,-24.691,-24.566,-24.457,-24.363,
2 -30.494,-28.760,-27.615,-26.806,-26.206,-25.745,-25.381,
2-25.088,-24.846,-24.645,-24.475,-24.330,-24.205,-24.097,-24.002,
3 -30.157,-28.425,-27.280,-26.472,-25.872,-25.411,-25.048,
3-24.754,-24.513,-24.312,-24.142,-23.997,-23.872,-23.764,-23.669,
4 -29.848,-28.117,-26.974,-26.165,-25.566,-25.105,-24.742,
4-24.448,-24.207,-24.006,-23.836,-23.692,-23.567,-23.458,-23.364,
5 -29.567,-27.837,-26.693,-25.885,-25.286,-24.826,-24.462,
5-24.169,-23.928,-23.727,-23.557,-23.412,-23.287,-23.179,-23.084,
6 -29.307,-27.578,-26.436,-25.628,-25.029,-24.569,-24.205,
6-23.912,-23.671,-23.470,-23.300,-23.155,-23.031,-22.922,-22.828,
7 -29.068,-27.341,-26.199,-25.391,-24.792,-24.332,-23.969,
7-23.676,-23.435,-23.234,-23.064,-22.920,-22.795,-22.687,-22.592,
8 -28.820,-27.115,-25.978,-25.172,-24.574,-24.115,-23.752,
8-23.459,-23.218,-23.017,-22.848,-22.703,-22.579,-22.470,-22.376,
9 -28.540,-26.891,-25.768,-24.968,-24.372,-23.914,-23.552,
9-23.259,-23.019,-22.818,-22.649,-22.504,-22.380,-22.272,-22.177,
A -28.275,-26.681,-25.574,-24.779,-24.186,-23.729,-23.368,
A-23.076,-22.836,-22.636,-22.467,-22.322,-22.198,-22.090,-21.996/
DATA C2/-27.993,-26.470,-25.388,-24.602,-24.014,-23.560,-23.200,
1-22.909,-22.669,-22.470,-22.301,-22.157,-22.033,-21.925,-21.831,
2 -27.698,-26.252,-25.204,-24.433,-23.851,-23.401,-23.043,
2-22.754,-22.515,-22.316,-22.148,-22.005,-21.881,-21.773,-21.679,
3 -27.398,-26.026,-25.019,-24.267,-23.696,-23.251,-22.896,
3-22.609,-22.372,-22.174,-22.007,-21.864,-21.741,-21.634,-21.540,
4 -27.100,-25.791,-24.828,-24.102,-23.543,-23.106,-22.756,
4-22.472,-22.238,-22.041,-21.875,-21.733,-21.611,-21.504,-21.411,
5 -26.807,-25.549,-24.631,-23.933,-23.391,-22.964,-22.621,
5-22.341,-22.109,-21.915,-21.751,-21.610,-21.488,-21.383,-21.290,
6 -26.531,-25.310,-24.431,-23.761,-23.238,-22.823,-22.488,
6-22.214,-21.986,-21.795,-21.633,-21.494,-21.374,-21.269,-21.178,
7 -26.239,-25.066,-24.225,-23.585,-23.082,-22.681,-22.356,
7-22.089,-21.866,-21.679,-21.520,-21.383,-21.265,-21.162,-21.072,
8 -25.945,-24.824,-24.017,-23.405,-22.923,-22.538,-22.223,
8-21.964,-21.748,-21.565,-21.410,-21.276,-21.160,-21.059,-20.970,
9 -25.663,-24.587,-23.810,-23.222,-22.761,-22.391,-22.088,
9-21.838,-21.629,-21.452,-21.300,-21.170,-21.057,-20.958,-20.872,
A -25.372,-24.350,-23.603,-23.038,-22.596,-22.241,-21.950,
A-21.710,-21.508,-21.337,-21.190,-21.064,-20.954,-20.858,-20.774/
DATA C3/-25.076,-24.111,-23.396,-22.853,-22.429,-22.088,-21.809,
1-21.578,-21.384,-21.220,-21.078,-20.957,-20.851,-20.758,-20.676,
2 -24.779,-23.870,-23.189,-22.669,-22.261,-21.934,-21.667,
2-21.445,-21.259,-21.101,-20.965,-20.848,-20.746,-20.656,-20.578,
3 -24.486,-23.629,-22.983,-22.486,-22.095,-21.781,-21.524,
3-21.311,-21.132,-20.980,-20.850,-20.737,-20.639,-20.553,-20.478,
4 -24.183,-23.382,-22.774,-22.302,-21.928,-21.627,-21.381,
4-21.177,-21.005,-20.859,-20.734,-20.625,-20.531,-20.449,-20.376,
5 -23.867,-23.127,-22.561,-22.116,-21.761,-21.474,-21.238,
5-21.043,-20.878,-20.738,-20.617,-20.513,-20.423,-20.344,-20.274,
6 -23.538,-22.862,-22.340,-21.926,-21.592,-21.320,-21.096,
6-20.909,-20.751,-20.617,-20.502,-20.402,-20.315,-20.239,-20.172,
7 -23.234,-22.604,-22.120,-21.734,-21.422,-21.166,-20.953,
7-20.776,-20.625,-20.497,-20.387,-20.291,-20.208,-20.135,-20.071,
8 -22.934,-22.347,-21.898,-21.541,-21.250,-21.010,-20.811,
8-20.643,-20.500,-20.378,-20.273,-20.182,-20.102,-20.033,-19.971,
9 -22.637,-22.092,-21.676,-21.345,-21.075,-20.853,-20.666,
9-20.508,-20.374,-20.259,-20.159,-20.073,-19.997,-19.931,-19.872,
A -22.337,-21.835,-21.452,-21.147,-20.899,-20.693,-20.520,
A-20.373,-20.247,-20.139,-20.046,-19.964,-19.892,-19.830,-19.774/
DATA C4/-22.049,-21.584,-21.230,-20.950,-20.721,-20.531,-20.372,
1-20.236,-20.119,-20.019,-19.931,-19.855,-19.788,-19.729,-19.676,
2 -21.768,-21.337,-21.011,-20.754,-20.544,-20.370,-20.223,
2-20.098,-19.991,-19.898,-19.817,-19.746,-19.683,-19.628,-19.579,
3 -21.494,-21.096,-20.796,-20.559,-20.367,-20.208,-20.074,
3-19.960,-19.861,-19.776,-19.701,-19.636,-19.578,-19.527,-19.482,
4 -21.233,-20.861,-20.585,-20.368,-20.193,-20.048,-19.926,
4-19.821,-19.732,-19.654,-19.586,-19.526,-19.473,-19.426,-19.384,
5 -20.983,-20.635,-20.380,-20.181,-20.021,-19.889,-19.778,
5-19.683,-19.602,-19.531,-19.469,-19.415,-19.367,-19.324,-19.286,
6 -20.743,-20.418,-20.182,-19.999,-19.853,-19.733,-19.633,
6-19.547,-19.474,-19.410,-19.354,-19.305,-19.261,-19.223,-19.189,
7 -20.515,-20.210,-19.991,-19.824,-19.690,-19.581,-19.490,
7-19.413,-19.347,-19.290,-19.240,-19.196,-19.157,-19.122,-19.092,
8 -20.297,-20.011,-19.808,-19.654,-19.532,-19.434,-19.352,
8-19.282,-19.223,-19.172,-19.127,-19.088,-19.054,-19.023,-18.996,
9 -20.090,-19.822,-19.633,-19.491,-19.381,-19.291,-19.218,
9-19.156,-19.103,-19.057,-19.018,-18.983,-18.952,-18.925,-18.901,
A -19.893,-19.642,-19.467,-19.337,-19.236,-19.155,-19.089,
A-19.034,-18.987,-18.946,-18.912,-18.881,-18.854,-18.831,-18.810/
DATA C5/-19.705,-19.472,-19.309,-19.190,-19.098,-19.025,-18.966,
1-18.917,-18.876,-18.840,-18.810,-18.783,-18.760,-18.739,-18.721,
2 -19.527,-19.310,-19.161,-19.051,-18.968,-18.903,-18.851,
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3 -19.357,-19.159,-19.022,-18.922,-18.847,-18.789,-18.743,
3-18.704,-18.673,-18.646,-18.623,-18.603,-18.586,-18.571,-18.558,
4 -19.195,-19.016,-18.892,-18.803,-18.736,-18.684,-18.643,
4-18.610,-18.583,-18.560,-18.540,-18.523,-18.509,-18.496,-18.485,
5 -19.042,-18.883,-18.772,-18.693,-18.634,-18.589,-18.553,
5-18.525,-18.501,-18.481,-18.465,-18.451,-18.438,-18.428,-18.419,
6 -18.894,-18.758,-18.662,-18.593,-18.542,-18.503,-18.473,
6-18.448,-18.428,-18.412,-18.398,-18.386,-18.376,-18.367,-18.359,
7 -18.752,-18.639,-18.559,-18.501,-18.458,-18.426,-18.400,
7-18.380,-18.363,-18.350,-18.338,-18.328,-18.320,-18.313,-18.306,
8 -18.611,-18.523,-18.460,-18.415,-18.381,-18.355,-18.334,
8-18.318,-18.304,-18.293,-18.284,-18.276,-18.269,-18.263,-18.258,
9 -18.471,-18.408,-18.362,-18.329,-18.304,-18.285,-18.269,
9-18.257,-18.247,-18.238,-18.231,-18.224,-18.219,-18.214,-18.210,
A -18.330,-18.290,-18.261,-18.239,-18.223,-18.211,-18.201,
A-18.192,-18.185,-18.179,-18.174,-18.169,-18.165,-18.162,-18.159/
DATA C6/-18.190,-18.168,-18.154,-18.143,-18.135,-18.129,-18.124,
1-18.120,-18.116,-18.112,-18.109,-18.106,-18.104,-18.102,-18.100,
2 -18.055,-18.047,-18.043,-18.042,-18.040,-18.039,-18.039,
2-18.038,-18.037,-18.036,-18.035,-18.034,-18.033,-18.033,-18.032,
3 -17.929,-17.931,-17.935,-17.939,-17.943,-17.946,-17.948,
3-17.950,-17.952,-17.953,-17.955,-17.956,-17.957,-17.958,-17.959,
4 -17.818,-17.826,-17.834,-17.842,-17.849,-17.855,-17.860,
4-17.865,-17.869,-17.872,-17.875,-17.878,-17.881,-17.883,-17.886,
5 -17.724,-17.736,-17.747,-17.758,-17.767,-17.775,-17.782,
5-17.788,-17.793,-17.798,-17.803,-17.807,-17.811,-17.815,-17.819,
6 -17.651,-17.665,-17.678,-17.690,-17.701,-17.710,-17.718,
6-17.725,-17.732,-17.738,-17.744,-17.749,-17.755,-17.760,-17.765,
7 -17.601,-17.615,-17.629,-17.642,-17.653,-17.663,-17.672,
7-17.680,-17.688,-17.695,-17.701,-17.708,-17.714,-17.720,-17.726,
8 -17.572,-17.587,-17.602,-17.614,-17.626,-17.636,-17.645,
8-17.654,-17.662,-17.670,-17.677,-17.684,-17.691,-17.698,-17.704,
9 -17.565,-17.581,-17.595,-17.607,-17.619,-17.629,-17.638,
9-17.647,-17.656,-17.664,-17.671,-17.679,-17.686,-17.693,-17.700,
A -17.580,-17.594,-17.608,-17.620,-17.630,-17.640,-17.650,
A-17.658,-17.667,-17.675,-17.682,-17.690,-17.697,-17.704,-17.711/
DATA C7/-17.613,-17.626,-17.639,-17.649,-17.659,-17.669,-17.677,
1-17.686,-17.694,-17.701,-17.709,-17.716,-17.723,-17.730,-17.737,
2 -17.663,-17.675,-17.685,-17.695,-17.703,-17.711,-17.719,
2-17.727,-17.734,-17.741,-17.748,-17.755,-17.761,-17.768,-17.774,
3 -17.728,-17.737,-17.745,-17.752,-17.759,-17.766,-17.772,
3-17.778,-17.785,-17.791,-17.797,-17.803,-17.808,-17.814,-17.820,
4 -17.803,-17.809,-17.814,-17.818,-17.823,-17.828,-17.832,
4-17.837,-17.842,-17.847,-17.852,-17.856,-17.861,-17.866,-17.871,
5 -17.884,-17.886,-17.888,-17.889,-17.891,-17.893,-17.896,
5-17.899,-17.902,-17.905,-17.908,-17.912,-17.915,-17.919,-17.922,
6 -17.966,-17.964,-17.961,-17.959,-17.958,-17.958,-17.958,
6-17.959,-17.960,-17.961,-17.963,-17.964,-17.966,-17.968,-17.970,
7 -18.040,-18.034,-18.028,-18.023,-18.019,-18.016,-18.013,
7-18.012,-18.010,-18.010,-18.009,-18.009,-18.009,-18.009,-18.010,
8 -18.096,-18.087,-18.078,-18.071,-18.065,-18.059,-18.055,
8-18.051,-18.047,-18.045,-18.042,-18.040,-18.039,-18.037,-18.036,
9 -18.125,-18.115,-18.105,-18.097,-18.089,-18.082,-18.076,
9-18.070,-18.065,-18.061,-18.057,-18.053,-18.051,-18.048,-18.046,
A -18.120,-18.112,-18.103,-18.095,-18.087,-18.079,-18.072,
A-18.066,-18.060,-18.055,-18.050,-18.046,-18.042,-18.039,-18.036/
DATA C8/-18.083,-18.078,-18.071,-18.064,-18.057,-18.050,-18.044,
1-18.037,-18.032,-18.026,-18.022,-18.017,-18.014,-18.010,-18.007,
2 -18.025,-18.022,-18.017,-18.012,-18.006,-18.000,-17.994,
2-17.989,-17.984,-17.979,-17.975,-17.971,-17.968,-17.965,-17.963,
3 -17.957,-17.955,-17.952,-17.948,-17.943,-17.938,-17.934,
3-17.929,-17.925,-17.922,-17.918,-17.916,-17.913,-17.911,-17.910,
4 -17.890,-17.889,-17.886,-17.882,-17.879,-17.875,-17.871,
4-17.867,-17.864,-17.862,-17.860,-17.858,-17.857,-17.856,-17.855,
5 -17.831,-17.829,-17.826,-17.822,-17.819,-17.815,-17.812,
5-17.810,-17.807,-17.806,-17.804,-17.803,-17.803,-17.803,-17.803,
6 -17.786,-17.782,-17.777,-17.773,-17.769,-17.766,-17.763,
6-17.761,-17.759,-17.758,-17.757,-17.757,-17.757,-17.758,-17.759,
7 -17.753,-17.747,-17.741,-17.735,-17.731,-17.727,-17.724,
7-17.722,-17.721,-17.720,-17.720,-17.720,-17.721,-17.722,-17.724,
8 -17.733,-17.724,-17.716,-17.709,-17.703,-17.699,-17.696,
8-17.694,-17.693,-17.692,-17.692,-17.693,-17.694,-17.695,-17.697,
9 -17.723,-17.711,-17.700,-17.691,-17.685,-17.680,-17.676,
9-17.674,-17.673,-17.672,-17.673,-17.673,-17.675,-17.676,-17.678,
A -17.718,-17.702,-17.689,-17.679,-17.672,-17.667,-17.663,
A-17.660,-17.659,-17.659,-17.659,-17.660,-17.661,-17.663,-17.665/
DATA C9/-17.713,-17.695,-17.681,-17.670,-17.662,-17.656,-17.653,
1-17.650,-17.649,-17.649,-17.649,-17.650,-17.651,-17.653,-17.655,
2 -17.705,-17.686,-17.671,-17.660,-17.652,-17.647,-17.643,
2-17.641,-17.640,-17.640,-17.640,-17.641,-17.643,-17.645,-17.647,
3 -17.690,-17.671,-17.657,-17.647,-17.640,-17.635,-17.632,
3-17.630,-17.630,-17.630,-17.631,-17.632,-17.634,-17.636,-17.639,
4 -17.667,-17.649,-17.637,-17.629,-17.623,-17.619,-17.618,
4-17.617,-17.617,-17.618,-17.619,-17.621,-17.623,-17.626,-17.628,
5 -17.635,-17.621,-17.611,-17.605,-17.601,-17.600,-17.599,
5-17.599,-17.601,-17.602,-17.604,-17.607,-17.609,-17.612,-17.615,
6 -17.596,-17.585,-17.579,-17.576,-17.575,-17.575,-17.576,
6-17.578,-17.580,-17.582,-17.585,-17.588,-17.591,-17.595,-17.598,
7 -17.550,-17.544,-17.542,-17.542,-17.544,-17.546,-17.548,
7-17.552,-17.555,-17.558,-17.562,-17.566,-17.570,-17.573,-17.577,
8 -17.501,-17.500,-17.501,-17.504,-17.508,-17.513,-17.517,
8-17.521,-17.526,-17.530,-17.535,-17.539,-17.544,-17.548,-17.553,
9 -17.449,-17.452,-17.457,-17.463,-17.470,-17.476,-17.482,
9-17.488,-17.493,-17.499,-17.504,-17.509,-17.514,-17.519,-17.524,
A -17.396,-17.403,-17.412,-17.420,-17.429,-17.437,-17.444,
A-17.451,-17.458,-17.464,-17.470,-17.476,-17.481,-17.487,-17.492/
DATAC10/-17.344,-17.355,-17.366,-17.377,-17.387,-17.396,-17.405,
1-17.413,-17.420,-17.427,-17.434,-17.440,-17.446,-17.452,-17.458,
2 -17.295,-17.307,-17.321,-17.333,-17.345,-17.355,-17.365,
2-17.373,-17.382,-17.389,-17.397,-17.404,-17.410,-17.417,-17.423,
3 -17.249,-17.264,-17.278,-17.292,-17.304,-17.316,-17.326,
3-17.335,-17.344,-17.352,-17.360,-17.368,-17.375,-17.382,-17.389,
4 -17.209,-17.225,-17.241,-17.255,-17.268,-17.280,-17.291,
4-17.301,-17.310,-17.319,-17.327,-17.335,-17.343,-17.350,-17.357,
5 -17.177,-17.194,-17.210,-17.225,-17.239,-17.251,-17.262,
5-17.272,-17.282,-17.291,-17.300,-17.308,-17.316,-17.324,-17.331,
6 -17.154,-17.172,-17.189,-17.204,-17.218,-17.230,-17.242,
6-17.252,-17.262,-17.272,-17.280,-17.289,-17.298,-17.306,-17.314,
7 -17.144,-17.162,-17.179,-17.194,-17.208,-17.220,-17.232,
7-17.242,-17.253,-17.262,-17.271,-17.280,-17.289,-17.297,-17.306,
8 -17.146,-17.164,-17.181,-17.196,-17.210,-17.222,-17.234,
8-17.245,-17.255,-17.265,-17.274,-17.283,-17.292,-17.301,-17.309,
9 -17.163,-17.180,-17.197,-17.212,-17.225,-17.237,-17.249,
9-17.260,-17.270,-17.280,-17.289,-17.298,-17.307,-17.316,-17.325,
A -17.193,-17.211,-17.227,-17.241,-17.254,-17.266,-17.277,
A-17.288,-17.298,-17.308,-17.317,-17.327,-17.336,-17.345,-17.353/
DATAC11/-17.239,-17.256,-17.271,-17.284,-17.297,-17.309,-17.320,
1-17.330,-17.340,-17.350,-17.359,-17.369,-17.378,-17.387,-17.395,
2 -17.299,-17.315,-17.329,-17.342,-17.354,-17.365,-17.376,
2-17.386,-17.396,-17.405,-17.415,-17.424,-17.433,-17.442,-17.451,
3 -17.373,-17.388,-17.402,-17.414,-17.425,-17.436,-17.446,
3-17.456,-17.466,-17.475,-17.484,-17.493,-17.502,-17.511,-17.520,
4 -17.462,-17.476,-17.489,-17.500,-17.511,-17.521,-17.531,
4-17.541,-17.550,-17.559,-17.569,-17.578,-17.587,-17.595,-17.604,
5 -17.567,-17.581,-17.592,-17.603,-17.613,-17.623,-17.632,
5-17.641,-17.651,-17.660,-17.669,-17.678,-17.686,-17.695,-17.704,
6 -17.689,-17.701,-17.712,-17.722,-17.732,-17.741,-17.750,
6-17.759,-17.768,-17.777,-17.786,-17.795,-17.803,-17.812,-17.821,
7 -17.829,-17.840,-17.851,-17.860,-17.869,-17.878,-17.887,
7-17.896,-17.904,-17.913,-17.922,-17.930,-17.939,-17.948,-17.956,
8 -17.988,-18.000,-18.010,-18.019,-18.028,-18.036,-18.045,
8-18.053,-18.062,-18.070,-18.079,-18.087,-18.096,-18.104,-18.112,
9 -18.171,-18.183,-18.192,-18.201,-18.210,-18.218,-18.227,
9-18.235,-18.243,-18.252,-18.260,-18.268,-18.277,-18.285,-18.293,
A -18.381,-18.393,-18.403,-18.413,-18.422,-18.430,-18.438,
A-18.447,-18.455,-18.463,-18.471,-18.479,-18.487,-18.495,-18.503/
DATAC12/-18.625,-18.638,-18.650,-18.660,-18.669,-18.678,-18.687,
1-18.695,-18.703,-18.711,-18.719,-18.726,-18.734,-18.742,-18.750,
2 -18.912,-18.929,-18.943,-18.955,-18.966,-18.975,-18.984,
2-18.993,-19.001,-19.008,-19.016,-19.023,-19.031,-19.038,-19.045,
3 -19.260,-19.283,-19.303,-19.320,-19.333,-19.345,-19.355,
3-19.364,-19.372,-19.380,-19.387,-19.394,-19.400,-19.407,-19.413,
4 -19.704,-19.740,-19.771,-19.796,-19.816,-19.832,-19.845,
4-19.855,-19.863,-19.870,-19.876,-19.882,-19.887,-19.892,-19.897,
5 -20.339,-20.386,-20.424,-20.454,-20.476,-20.492,-20.502,
5-20.509,-20.513,-20.516,-20.518,-20.520,-20.521,-20.523,-20.524,
6 -21.052,-21.075,-21.093,-21.105,-21.114,-21.120,-21.123,
6-21.125,-21.126,-21.127,-21.128,-21.130,-21.131,-21.133,-21.135,
7 -21.174,-21.203,-21.230,-21.255,-21.278,-21.299,-21.320,
7-21.339,-21.357,-21.375,-21.392,-21.408,-21.424,-21.439,-21.454,
8 -21.285,-21.317,-21.346,-21.372,-21.395,-21.416,-21.435,
8-21.452,-21.468,-21.483,-21.497,-21.511,-21.524,-21.536,-21.548,
9 -21.396,-21.429,-21.459,-21.486,-21.511,-21.532,-21.551,
9-21.569,-21.585,-21.600,-21.614,-21.627,-21.640,-21.652,-21.663,
A -21.516,-21.549,-21.580,-21.609,-21.635,-21.658,-21.678,
A-21.696,-21.713,-21.728,-21.742,-21.755,-21.767,-21.779,-21.790/
DATAC13/-21.651,-21.681,-21.711,-21.738,-21.763,-21.785,-21.804,
1-21.821,-21.837,-21.851,-21.864,-21.876,-21.887,-21.898,-21.908,
2 -21.810,-21.831,-21.853,-21.874,-21.893,-21.910,-21.925,
2-21.938,-21.950,-21.961,-21.971,-21.980,-21.989,-21.998,-22.006,
3 -22.009,-22.016,-22.026,-22.037,-22.048,-22.058,-22.066,
3-22.074,-22.081,-22.088,-22.094,-22.099,-22.105,-22.111,-22.117,
4 -22.353,-22.317,-22.296,-22.284,-22.276,-22.270,-22.266,
4-22.262,-22.260,-22.258,-22.257,-22.257,-22.257,-22.258,-22.259,
5 -22.705,-22.609,-22.552,-22.515,-22.488,-22.468,-22.451,
5-22.438,-22.427,-22.418,-22.410,-22.405,-22.400,-22.397,-22.395,
6 -22.889,-22.791,-22.731,-22.690,-22.659,-22.634,-22.612,
6-22.594,-22.579,-22.566,-22.555,-22.546,-22.539,-22.533,-22.528,
7 -23.211,-23.109,-23.041,-22.989,-22.945,-22.906,-22.872,
7-22.842,-22.816,-22.793,-22.774,-22.757,-22.743,-22.732,-22.722,
8 -25.312,-24.669,-24.250,-23.959,-23.746,-23.587,-23.463,
8-23.366,-23.288,-23.225,-23.173,-23.131,-23.095,-23.066,-23.041,
9 -25.394,-24.752,-24.333,-24.041,-23.829,-23.669,-23.546,
9-23.449,-23.371,-23.308,-23.256,-23.214,-23.178,-23.149,-23.124,
A -25.430,-24.787,-24.369,-24.077,-23.865,-23.705,-23.582,
A-23.484,-23.407,-23.344,-23.292,-23.249,-23.214,-23.185,-23.160/
DATA PARTOH/
1 145.979, 178.033, 211.618, 247.053, 284.584, 324.398,
2 366.639, 411.425, 458.854, 509.012, 561.976, 617.823,
3 676.626, 738.448, 803.363, 871.437, 942.735, 1017.330,
4 1095.284, 1176.654, 1261.510, 1349.898, 1441.875, 1537.483,
5 1636.753, 1739.733, 1846.434, 1956.883, 2071.080, 2189.029,
6 2310.724, 2436.155, 2565.283, 2698.103, 2834.571, 2974.627,
7 3118.242, 3265.366, 3415.912, 3569.837, 3727.077/
DATA FREQ1/0./
C
SBFOH=0.
IF(FR.EQ.FREQ1) GO TO 30
FREQ1=FR
WAVENO=FR/2.99792458E10
EVOLT=WAVENO/8065.479
N=int(EVOLT*10.-20.)
EN=FLOAT(N)*.1+2.
IF(N.LE.0) RETURN
IF(N.GE.130) RETURN
DO IT=1,15
CROSSOHT(IT)=(CROSSOH(IT,N)+(CROSSOH(IT,N+1)-CROSSOH(IT,N))*
* (EVOLT-EN)*10.)
END DO
c
c interpolate to obtain partition function
c
30 IF(T.GE.9000.) RETURN
IF(N.LE.0) RETURN
IF(N.GE.130) RETURN
IT=int((T-1000.)*twhui+1.)
IF(IT.LT.1) IT=1
TN=FLOAT(IT)*twhu+800.
PART=PARTOH(IT)+(PARTOH(IT+1)-PARTOH(IT))*(T-TN)*twhui
c
c interpolate to obtain cross-section
c
IT=int((T-2000.)*fihui+1.)
IF(IT.LT.1) IT=1
TN=FLOAT(IT)*fihu+1500.
SBFOH=EXP((CROSSOHT(IT)+(CROSSOHT(IT+1)-CROSSOHT(IT))*
c * (T-TN)*fihui)*tenl)*PART
* (T-TN)*fihui)*tenl)
RETURN
END
C
C
C ********************************************************************
C
C
SUBROUTINE XENINI
C =================
C
C Initializes necessary arrays for evaluating hydrogen line profiles
C from the XENOMORPH tables
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
C
DO I=1,4
DO J=1,22
ILXEN(I,J)=0
END DO
END DO
if(ihxenb.gt.0) then
ihxenb=23
ihxenr=ihxenb+1
open(unit=ihxenb,file='xenomorph.blue.dat',status='old')
open(unit=ihxenr,file='xenomorph.red.dat',status='old')
write(6,641) ihxenb,ihxenr
else
return
end if
c
641 format(' -----------'/
* ' reading XENOMORPH tables; ihxen =',2i3,/
* ' -----------')
C
C ---------------------------------
C read tables - blue wing
C ---------------------------------
C
ILINE=0
READ(IHXENB,*) NTAB
DO ITAB=1,NTAB
ILINEB=ILINE
READ(IHXENB,*) NLXEN
DO ILI=1,NLXEN
ILINE=ILINE+1
READ(IHXENB,*) I,J,ALMIN,ANEMIN,TMIN,DLA,DLE,DLT,
* NWL,NE,NT
XNEMIN=ANEMIN
ILXEN(I,J)=ILINE
NWLXEN(ILINE)=NWL
NTHXEN(ILINE)=NT
NEHXEN(ILINE)=NE
DO IWL=1,NWL
ALXEN(ILINE,IWL)=ALMIN+(IWL-1)*DLA
END DO
DO INE=1,NE
XNEXEN(INE,ILINE)=ANEMIN+(INE-1)*DLE
END DO
DO IT=1,NT
XTXEN(IT,ILINE)=TMIN+(IT-1)*DLT
END DO
END DO
c
DO ILI=1,NLXEN
ILNE=ILINEB+ILI
NWL=NWLXEN(ILNE)
READ(IHXENB,500)
DO INE=1,NEHXEN(ILNE)
DO IT=1,NTHXEN(ILNE)
READ(IHXENB,*) QLT,(PRFXB(ILNE,IWL,IT,INE),IWL=1,NWL)
END DO
END DO
C
END DO
END DO
500 FORMAT(1X)
CLOSE(IHXENB)
C
C ---------------------------------
C read tables - red wing
C ---------------------------------
C
ILINE=0
READ(IHXENR,*) NTAB
DO ITAB=1,NTAB
ILINEB=ILINE
READ(IHXENR,*) NLXEN
DO ILI=1,NLXEN
ILINE=ILINE+1
READ(IHXENR,*) I,J,ALMIN,ANEMIN,TMIN,DLA,DLE,DLT,
* NWL,NE,NT
END DO
c
DO ILI=1,NLXEN
ILNE=ILINEB+ILI
NWL=NWLXEN(ILNE)
READ(IHXENR,500)
DO INE=1,NEHXEN(ILNE)
DO IT=1,NTHXEN(ILNE)
READ(IHXENR,*) QLT,(PRFXR(ILNE,IWL,IT,INE),IWL=1,NWL)
END DO
END DO
C
END DO
END DO
C
C interpolation to the actual values of temperature and electron
C density
C
do id =1,nd
tl=log10(temp(id))
anel=log10(elec(id))
do ili=1,nlxen
iline=ilineb+ili
nwl=nwlxen(iline)
do iwl=1,nwl
call intxen(prfb0,prfr0,tl,anel,iwl,iline)
prfb(iline,id,iwl)=prfb0
prfr(iline,id,iwl)=prfb0
end do
end do
end do
CLOSE(IHXENR)
c
RETURN
END
C
C
C ********************************************************************
C
C
SUBROUTINE INTXEN(W0B,W0R,X0,Z0,IWL,ILINE)
C ==========================================
C
C Interpolation in temperature and electron density from the
C Xenomorph tables for hydrogen lines to the actual valus of
C temperature and electron density
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
DIMENSION ZZ(3),XX(3),WXB(3),WZB(3),WXR(3),WZR(3)
C
NX=2
NZ=2
NT=NTHXEN(ILINE)
NE=NEHXEN(ILINE)
C
DO 10 IZZ=1,NE-1
IPZ=IZZ
IF(Z0.LE.XNEXEN(IZZ+1,ILINE)) GO TO 20
10 CONTINUE
20 N0Z=IPZ-NZ/2+1
IF(N0Z.LT.1) N0Z=1
IF(N0Z.GT.NE-NZ+1) N0Z=NE-NZ+1
N1Z=N0Z+NZ-1
C
DO IZZ=N0Z,N1Z
I0Z=IZZ-N0Z+1
ZZ(I0Z)=XNEXEN(IZZ,ILINE)
DO 30 IX=1,NT-1
IPX=IX
IF(X0.LE.XTXEN(IX+1,ILINE)) GO TO 40
30 CONTINUE
40 N0X=IPX-NX/2+1
IF(N0X.LT.1) N0X=1
IF(N0X.GT.NT-NX+1) N0X=NT-NX+1
N1X=N0X+NX-1
DO IX=N0X,N1X
I0=IX-N0X+1
XX(I0)=XTXEN(IX,ILINE)
WXB(I0)=PRFXB(ILINE,IWL,IX,IZZ)
WXR(I0)=PRFXR(ILINE,IWL,IX,IZZ)
END DO
WZB(I0Z)=YINT(XX,WXB,X0)
WZR(I0Z)=YINT(XX,WXR,X0)
END DO
W0B=YINT(ZZ,WZB,Z0)
W0R=YINT(ZZ,WZR,Z0)
RETURN
END
C
C
C ******************************************************************
C
C
SUBROUTINE GOMINI
C =================
C
C Initialization and reading of the opacity table for thermal processe
C and Rayleigh scattering
c raytab: scattering opacities in cm^2/gm at 5.0872638d14 Hz (sodium D)
c (NOTE: Quantities in rayleigh.tab are in log_e)
C
c tempvec: array of temperatures
c rhovec: array of densities (gm/cm^3)
c nu: array of frequencies
c table: absorptive opacities in cm^2/gm
c (NOTE: Quantities in absorption.tab are in log_e)
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
COMMON/GOMOPA/frgtab(mfhtab),wlgtab(mfhtab),hydopg(mfhtab,mdepth),
* nugfreq
common/gompar/hglim,ihgom
dimension temvec(mtabth),elevec(mtabeh),
* hydcrs(mtabth,mtabeh,mfhtab)
c
if(ihgom.eq.0) return
C
open(53,file='gomhyd.dat',status='old')
c
read(53,*) nugfreq,nugtemp,nugele
read(53,*)
read(53,*) (temvec(i),i=1,nugtemp)
read(53,*)
read(53,*) (elevec(j),j=1,nugele)
do it=1,nugtemp
temvec(it)=log(temvec(it)*1.161e4)
end do
c write(6,600) ihgom,nugfreq,nugtemp,nugele
c 600 format(' ihgom,nugfr,nugt,nuge ',4i4)
c
EGTAB1 = elevec(1)
EGTAB2 = elevec(nugele)
TGTAB1 = temvec(1)
TGTAB2 = temvec(nugtemp)
c
do k = 1, nugfreq
read(53,501) eneev
frgtab(k)=3.28805e15/13.595*eneev
wlgtab(k)=2.997925e18/frgtab(k)
do i = 1, nugtemp
read(53,*) (hydcrs(i,j,k),j=1,nugele)
end do
end do
frg1=frgtab(1)
frg2=frgtab(nugfreq)
c
501 format(40x,f17.14)
close(53)
C
c Interpolate to the actual temperature and electron density
c at the individual depth points
C
do 10 id=1,nd
if(elec(id).lt.HGLIM) go to 10
rl=log(elec(id))
tl=log(temp(id))
c
DELTAR=(RL-EGTAB1)/(EGTAB2-EGTAB1)*FLOAT(nugele-1)
JR = 1 + IDINT(DELTAR)
IF(JR.LT.1) JR = 1
IF(JR.GT.(nugele-1)) JR = nugele-1
r1i=elevec(jr)
r2i=elevec(jr+1)
dri=(RL-R1i)/(R2i-R1i)
if(JR .eq. 1) dri = 0.d0
C
DELTAT=(TL-TGTAB1)/(TGTAB2-TGTAB1)*FLOAT(nugtemp-1)
JP = 1 + IDINT(DELTAT)
IF(JP.LT.1) JP = 1
IF(JP.GT.nugtemp-1) JP = nugtemp-1
t1i=temvec(jp)
t2i=temvec(jp+1)
dti=(TL-T1i)/(T2i-T1i)
if(JP .eq. 1) dti = 0.d0
C
c loop over tabular frequencies
c
do jf=1,nugfreq
opr1=hydcrs(jp,jr,jf)+dti*
* (hydcrs(jp+1,jr,jf)-hydcrs(jp,jr,jf))
opr2=hydcrs(jp,jr+1,jf)+dti*
* (hydcrs(jp+1,jr+1,jf)-hydcrs(jp,jr+1,jf))
opac=opr1+dri*(opr2-opr1)
hydopg(jf,id)=opac+log(0.02654*4.1347e-15)
end do
10 continue
return
end
C
C ****************************************************\
C
C
subroutine ghydop(id,i0,i1,pj,absoh,emish)
c ==========================================
c
c hydrogen opacity -- lines + pseudocontinuum from Gomez tables
c
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
COMMON/GOMOPA/frgtab(mfhtab),wlgtab(mfhtab),hydopg(mfhtab,mdepth),
* nugfreq
dimension absoh(mfreq),emish(mfreq),pj(40)
c
frg1=frgtab(1)
frg2=frgtab(nugfreq)
do 20 ij=i0,i1
fr=freq(ij)
if(fr.lt.frg1.or.fr.gt.frg2) go to 20
wla=2.997925e18/fr
frl=log10(fr)
c
if(ij.eq.i0) igf=nugfreq
10 continue
if(wla.gt.wlgtab(igf)) then
igf=igf-1
go to 10
end if
ig0=igf
if(ig0.le.2) ig0=2
ig1=igf-1
abl=(hydopg(ig1,id)-hydopg(ig0,id))*(wla-wlgtab(ig0))/
* (wlgtab(ig1)-wlgtab(ig0))+hydopg(ig0,id)
c
ii=1
if(freq(ij).gt.8.22013e14) then
pp=pj(1)*2.
else
pp=pj(2)*8.
end if
c
F15=FR*1.E-15
XKF=EXP(-4.79928e-11*FR/TEMP(ID))
XKFB=XKF*1.4743E-2*F15*F15*F15
oph=exp(abl)*pp
absoh(ij)=absoh(ij)+oph
emish(ij)=emish(ij)+oph*xkfb/(1.-xkf)
20 continue
c
return
end
C
C ********************************************************************
C
subroutine ingrid(mode,inext,igrd)
C ==================================
C
c setting state parameters for the opacity grid calculations
c
c input:
c temp1 - lowest value of T
c temp2 - largest value of T
c ntemp - number of temperature values
c dens1 - lowest value of the density parameter
c dens2 - largest value of the density parameter
c ndens - number of the density parameter values
c
c isdens = 0 - density parameter is electron density
c > 0 - density parameter is mass density
c < 0 - density parameter is gas pressure
c
c
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'LINDAT.FOR'
parameter (un=1.,ten15=1.e-15,c18=2.997925e18)
real*4 absgrd(mttab,mrtab,mfgrid),dtim
common/alsave/ALAM0s,ALASTs,CUTOF0s,CUTOFSs,RELOPs,SPACEs
common/gridp0/tempg(mttab),densg(mttab,mrtab),elecgr(mttab,mrtab),
* densg0(mttab),temp1,ntemp,ndens,nden(mttab)
common/gridf0/wlgrid(mfgrid),nfgrid
common/fintab/absgrd
common/prfrgr/ipfreq,indext,indexn
common/igrddd/igrdd,irelin
common/initab/absop(msftab),wltab(msftab),
* nfrtab(mttab,mrtab),inttab
common/elecm0/elecm(mdepth)
common/timeta/dtim
common/relabu/relabn(matom),popul0(mlevel,1)
dimension abgrd(mfgrid),xli(3)
character*(80) tabname
common/tabout/tabname,ibingr,idens
dimension templ(mttab)
c
c --------------
c initialization
c --------------
c
igrdd=igrd
if(mode.eq.0) then
c
read(2,*) ntemp,temp1,temp2
read(2,*) idens
if(idens.lt.10) then
read(2,*) ndens,dens1,dens2
else if(idens.lt.20) then
read(2,*) ndens,densl1,densl2,densu1,densu2
else
do it=1,ntemp
read(2,*) ndens,densl,densu
densg(it,1)=densl
densg(it,ndens)=densu
nden(it)=ndens
end do
end if
if(idens.lt.20) then
do it=1,ntemp
nden(it)=ndens
end do
end if
if(ifeos.le.0) then
read(2,*) nfgrid,inttab,wlam1,wlam2
read(2,*) tabname,ibingr
end if
c
irsct=0
irsche=0
irsch2=0
c
wl1=log(wlam1)
wl2=log(wlam2)
dwl=(wl2-wl1)/(nfgrid-1)
do i=1,nfgrid
wlgrid(i)=exp(wl1+(i-1)*dwl)
end do
c
if(temp1.gt.0.) then
at1=log(temp1)
at2=log(temp2)
dt=0.
if(ntemp.gt.1) dt=(at2-at1)/(ntemp-1)
do i=1,ntemp
templ(i)=at1+(i-1)*dt
tempg(i)=exp(templ(i))
end do
if(idens.lt.10) then
at1=log(dens1)
at2=log(dens2)
dr=0.
ndens=nden(1)
if(ndens.gt.0) dr=(at2-at1)/(ndens-1)
do i=1,ntemp
do j=1,ndens
densg(i,j)=exp(at1+(j-1)*dr)
end do
end do
else if(idens.lt.20) then
rhol1=log(densl1)
rhol2=log(densl2)
rhou1=log(densu1)
rhou2=log(densu2)
do i=1,ntemp
ndens=nden(i)
dens1=rhol1+(rhou1-rhol1)/(at2-at1)*(templ(i)-at1)
dens2=rhol2+(rhou2-rhol2)/(at2-at1)*(templ(i)-at1)
dr=0.
if(ndens.gt.1) dr=(dens2-dens1)/(ndens-1)
do j=1,ndens
densg(i,j)=exp(dens1+(j-1)*dr)
end do
end do
else
do i=1,ntemp
ndens=nden(i)
at1=log(densg(i,1))
at2=log(densg(i,ndens))
dr=0.
if(ndens.gt.0) dr=(at2-at1)/(ndens-1)
do j=2,ndens-1
densg(i,j)=exp(at1+(j-1)*dr)
end do
end do
end if
c
write(6,621) ntemp,nden(1)
do i=1,ntemp
ndens=nden(i)
write(6,622) tempg(i),(log10(densg(i,j)),j=1,ndens)
end do
621 format(/' COMPUTING AN OPACITY TABLE WITH GRID PARAMETERS:'/
* ' ===== ntemp, ndens ',2i4)
622 format(f10.1,20f8.2)
else
call inpmod
ntemp=nd
ndens=1
do it=1,ntemp
tempg(it)=temp(it)
densg0(it)=dens(it)
densg(it,1)=dens(it)
elecm(it)=elec(it)
end do
if(ifeos.le.0) then
write(6,621) ntemp,ndens
do i=1,ntemp
write(6,622) tempg(i),densg0(i)
end do
end if
ndens=1
idens=2
end if
c
nd=1
idstd=1
inext=1
frmx=0.
frmn=1.e20
idens0=mod(idens,10)
c
indext=1
indexn=1
ipfreq=0
irelin=1
temp(1)=tempg(indext)
c
write(6,646) indext,temp(1),
* indexn,densg(indext,indexn)
646 format(/' ************************************',
* /' GRID POINT OF THE OPACITY TABLE WITH:'/
* ' INDEX TEMP, T ',i4,f10.1/
* ' INDEX DENS, DENS',I4,1PE10.1,
* /' ************************************'/)
c
if(temp1.le.0.) elec(1)=elecm(indext)
call densit(densg(indext,indexn),idens0)
if(ntemp.eq.1.and.ndens.eq.1) inext=0
elecgr(indext,indexn)=elec(1)
call abnchn(0)
return
c
c ---------------------------------------------
c after computing the table for one T-rho pair:
c ---------------------------------------------
c
else if(mode.eq.1) then
if(ifeos.le.0) then
c
call timing(1,igrd+1)
c
do i=1,3
xli(i)=0.
end do
do i=1,nmlist
xli(i)=float(nlinmt(i))*1.e-3
end do
c
if(imode.ge.-5) then
if(indext.eq.1.and.indexn.eq.1)
* write(29,625)
write(29,626) indext,indexn,temp(1),dens(1),elec(1),
* float(nlin0)*1.e-3,
* (xli(i),i=1,3),dtim
625 format(' it ir t rho elec',6x,
* ' atomic molec1 molec2 molec3 time'/)
626 format(2i4,f9.2,1p2e10.2,2x,0pf8.1,2x,3f8.1,2x,f8.2)
else
alam0=alam0s
if(alam0s.eq.0.) alam0=5.e7/temp(1)/10.
if(alam0s.lt.0.) alam0=-5.e7/temp(1)/alam0s
alast=alasts
if(alasts.eq.0.) alast=5.e7/temp(1)*20.
if(alasts.lt.0.) alast=-5.e7/temp(1)*alasts
if(alast.gt.1.e5) alast=1.e5
write(29,629) temp(1),elec(1),dens(1),
* alam0,alast
end if
629 format(1p3e11.3,0pf9.3,0pf12.3)
c
c ------------------------------------------------
c interpolate and store previously computed table
c ------------------------------------------------
c
nfr=ipfreq
nfrtab(indext,indexn)=ipfreq
write(*,*) 'indext,indexn,nfreq',indext,indexn,ipfreq
write(*,*) 'nfr,nfgrid',nfr,nfgrid
c
if(inttab.eq.1) then
c call interp(wltab,absop,wlgrid,abgrd,nfr,nfgrid,2,0,0)
call intrp(wltab,absop,wlgrid,abgrd,nfr,nfgrid)
else
ij=0
ijgrd=0
30 continue
ijgrd=ijgrd+1
wlgr=0.5*(wlgrid(ijgrd)+wlgrid(ijgrd+1))
isum=0
sum=0.
40 continue
ij=ij+1
if(ij.gt.nfr) go to 50
wlt=wltab(ij)
abl=absop(ij)
if(wlt.le.wlgr) then
sum=sum+exp(abl)
isum=isum+1
go to 40
end if
if(isum.gt.0) then
abgrd(ijgrd)=log(sum/float(isum))
else
abg=abl+(absop(ij+1)-abl)/(wltab(ij+1)-wlt)*(wlgr-wlt)
abgrd(ijgrd)=abg
c write(*,*) 'grd',ij,absop(ij+1),abl,wltab(ij+1),
c * wlt,wlgr,abg,abgrd(ijgrd),ijgrd
end if
if(ijgrd.lt.nfgrid) then
ij=ij-1
go to 30
else if(ijgrd.eq.nfgrid) then
wlgr=wlgrid(nfgrid)
sum=0.
isum=0
if(ij.lt.nfr) ij=ij-1
go to 40
end if
end if
50 continue
c
do ij=1,nfgrid
absgrd(indext,indexn,ij)=real(abgrd(ij))
end do
absgrd(indext,indexn,nfgrid)=absgrd(indext,indexn,nfgrid-1)
end if
c
c ------------------------------
c prepare values for a new table
c ------------------------------
c
ipfreq=0
ndens=nden(indext)
if(indexn.lt.ndens) then
indexn=indexn+1
rho=densg(indext,indexn)
write(6,646) indext,tempg(indext),
* indexn,densg(indext,indexn)
call densit(rho,idens0)
inext=1
else
indexn=1
irelin=1
if(indext.lt.ntemp) then
indext=indext+1
temp(1)=tempg(indext)
if(temp1.le.0.) then
densg(indext,indexn)=densg0(indext)
elec(1)=elecm(indext)
end if
rho=densg(indext,indexn)
write(6,646) indext,tempg(indext),
* indexn,densg(indext,indexn)
call densit(rho,idens0)
inext=1
else
inext=0
end if
end if
if(inext.eq.1) then
rewind(19)
if(inlist.lt.0) rewind(19)
end if
c
elecgr(indext,indexn)=elec(1)
c
call abnchn(0)
id=1
do i=1,4
do j=i+1,22
call hydtab(i,j,id)
end do
end do
end if
c
return
end
C
C
C ********************************************************************
C
C
subroutine ougrid(abso)
C =======================
C
C output of grid opacities
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
common/prfrgr/ipfreq,indext,indexn
common/gridf0/wlgrid(mfgrid),nfgrid
common/initab/absop(msftab),wltab(msftab),
* nfrtab(mttab,mrtab),inttab
parameter (un=1.,ten15=1.e-15,c18=2.997925e18)
DIMENSION ABSO(MFREQ)
c
d1=un/dens(1)
if (nfreq.le.3) return
c
if(iprin.lt.4) then
do ij=3,nfreq-1
abl=log(abso(ij)*d1)
ipfreq=ipfreq+1
absop(ipfreq)=abl
wltab(ipfreq)=2.997925e18/freq(ij)
end do
else
do ij=3,nfreq-1
abl=log(abso(ij)*d1)
ipfreq=ipfreq+1
write(27,637) ipfreq,c18/freq(ij),abl
absop(ipfreq)=abl
wltab(ipfreq)=2.997925e18/freq(ij)
end do
end if
637 format(i10,f14.5,0pf12.5)
c
return
end
C
C
C ********************************************************************
C
C
subroutine fingrd
c =================
c
c storing the complete, interpolated, opacity table
c
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'SYNTHP.FOR'
real*4 absgrd(mttab,mrtab,mfgrid)
common/gridp0/tempg(mttab),densg(mttab,mrtab),elecgr(mttab,mrtab),
* densg0(mttab),temp1,ntemp,ndens,nden(mttab)
common/gridf0/wlgrid(mfgrid),nfgrid
common/fintab/absgrd
common/relabu/relabn(matom),popul0(mlevel,1)
character*(80) tabname
common/tabout/tabname,ibingr,idens
c
if(ifeos.gt.0) return
c
close(53)
iophmp=iophmi
if(ielhm.gt.0.and.relabn(1).gt.0.) iophmp=1
if(ibingr.eq.0) then
open(53,file=tabname,status='unknown')
write(53,600)
do iat=1,92
write(53,601) typat(iat),abnd(iat),abnd(iat)*relabn(iat)
end do
write(53,602) ifmol,tmolim
write(53,603) iophmp,ioph2p,iophem,iopch,iopoh,ioph2m,
* ioh2h2,ioh2he,ioh2h1,iohhe
if(idens.lt.10) then
ndens=nden(1)
write(53,611) nfgrid,ntemp,nden(1)
write(53,612) (log(tempg(i)),i=1,ntemp)
write(53,613) (log(densg(1,j)),j=1,nden(1))
write(53,614) ((log(elecgr(i,j)),j=1,nden(1)),i=1,ntemp)
do k = 1, nfgrid
write(53,615) k,wlgrid(k),2.997925e18/wlgrid(k)
do j = 1,ndens
write(53,616) (absgrd(i,j,k),i=1,ntemp)
end do
end do
else
write(53,611) nfgrid,ntemp,-nden(1)
write(53,610) (nden(i),i=1,ntemp)
write(53,612) (log(tempg(i)),i=1,ntemp)
write(53,622)
do i=1,ntemp
ndens=nden(i)
write(53,623) (log(densg(i,j)),j=1,ndens)
end do
write(53,624)
do i=1,ntemp
ndens=nden(i)
write(53,623) (log(elecgr(i,j)),j=1,ndens)
end do
do k = 1,nfgrid
write(53,615) k,wlgrid(k),2.997925e18/wlgrid(k)
do i=1,ntemp
ndens=nden(i)
write(53,616) (absgrd(i,j,k),j=1,ndens)
end do
end do
end if
600 format('opacity table with element abundances:'/
* 'element for EOS for opacities')
601 format(' ',a4,1p2e12.3)
602 format(/'molecules - ifmol,tmolim:'/,i4,f10.1)
603 format('additional opacities'/
* ' H- H2+ He- CH OH H2- CIA: H2H2 H2He H2H HHe'/
* 6i4,4x,4i4)
610 format(30i3)
611 format(/'number of frequencies, temperatures, densities:'
* /10x,3i10)
612 format('log temperatures'/(6F11.6))
613 format('log densities'/(6F11.6))
614 format('log electron densities from EOS'/(6f11.6))
615 format(/' *** frequency # : ',i8,f15.5/1pe20.8)
616 format((1p6e14.6))
c 621 format('log temperatures')
622 format('log densities')
623 format(6f14.6)
624 format('log electron densities from EOS')
end if
do iat=1,92
write(63) typat(iat),abnd(iat),abnd(iat)*relabn(iat)
end do
write(63) ifmol,tmolim
write(63) iophmp,ioph2p,iophem,iopch,iopoh,ioph2m,
* ioh2h2,ioh2he,ioh2h1,iohhe
if(idens.lt.10) then
ndens=nden(1)
write(63) nfgrid,ntemp,nden(1)
write(63) (log(tempg(i)),i=1,ntemp)
write(63) (log(densg(1,j)),j=1,nden(1))
write(63) ((log(elecgr(i,j)),j=1,nden(1)),i=1,ntemp)
do k = 1, nfgrid
write(63) 2.997925e18/wlgrid(k)
do j = 1,ndens
write(63) (absgrd(i,j,k),i=1,ntemp)
end do
end do
else
write(63) nfgrid,ntemp,-nden(1)
write(63) (nden(i),i=1,ntemp)
write(63) (log(tempg(i)),i=1,ntemp)
do i=1,ntemp
ndens=nden(i)
write(63) (log(densg(i,j)),j=1,ndens)
end do
do i=1,ntemp
ndens=nden(i)
write(63) (log(elecgr(i,j)),j=1,ndens)
end do
do k = 1,nfgrid
write(63) 2.997925e18/wlgrid(k)
do i=1,ntemp
ndens=nden(i)
write(63) (absgrd(i,j,k),j=1,ndens)
if(k.le.100) write(*,*) 'abs(1)',i,ndens,
* (absgrd(i,j,k),j=1,ndens)
end do
end do
end if
c end if
c
close(63)
return
end
c
c
c *************************************************************
c
c
subroutine abnchn(mode)
c =======================
c
c changing abundances (eliminating) species for an
c evaluating an opacity table
c
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
common/relabu/relabn(matom),popul0(mlevel,1)
data iread/1/
c
if(iread.eq.1) then
do ia=1,matom
relabn(ia)=1.
end do
10 continue
read(2,*,err=20,end=20) iatom,rela
relabn(iatom)=rela
write(*,*) 'ABUNDANCES CHANGED (AT.NUMBER, ABUND):',iatom,rela
go to 10
20 continue
if(relabn(1).eq.0.) then
iophmi=0
ioph2p=0
end if
iread=0
end if
c
if(mode.eq.0) then
do iat=1,natom
do ii=n0a(iat),nka(iat)
popul0(ii,1)=popul(ii,1)
end do
end do
return
end if
c
do iat=1,natom
ia=numat(iat)
do ii=n0a(iat),nka(iat)
popul(ii,1)=popul0(ii,1)*relabn(ia)
end do
end do
c
do ia=1,matom
do io=1,mion0
rrr(1,io,ia)=rrr(1,io,ia)*relabn(ia)
end do
end do
c
return
end
c
c
c *************************************************************
c
c
subroutine densit(rho,idens)
C ============================
C
C determining the state parameters for the opacity grid
C calculations
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
DIMENSION ES(MLEVEL,MLEVEL),BS(MLEVEL),POPLTE(MLEVEL)
c
id=1
dm(id)=0.
IF(IFMOL.EQ.0.OR.TEMP(ID).GT.TMOLIM)
* WMM(ID)=WMY(ID)*HMASS/YTOT(ID)
if(idens.eq.0) then
ELEC(ID)=rho
ane=elec(id)
call todens(id,temp(id),an,ane)
DENS(ID)=(an-ane)*wmm(id)
p=an*bolk*temp(id)
c WRITE(6,602) ID,TEMP(ID),DENS(ID),ELEC(ID)
else if(idens.lt.0) then
AN=rho/TEMP(ID)/BOLK
CALL ELDENS(ID,TEMP(ID),AN,ANE)
ELEC(ID)=ANE
DENS(ID)=WMM(ID)*(AN-ELEC(ID))
c WRITE(6,601) ID,TEMP(ID),DENS(ID),ELEC(ID),ane0,an
else if(idens.eq.1) then
DENS(ID)=RHO
CALL RHONEN(ID,TEMP(ID),RHO,AN,ANE)
ELEC(ID)=ANE
DENS(ID)=RHO
rho0=WMM(ID)*(AN-ANE)
c WRITE(6,601) IDens,TEMP(ID),DENS(ID),ane,rho0,an
else if(idens.eq.2) then
CALL RHONEN(ID,TEMP(ID),RHO,AN,ANE)
DENS(ID)=RHO
ANE=ELEC(ID)
rho0=WMM(ID)*(AN-ANE)
c WRITE(6,601) idens,TEMP(ID),DENS(ID),ane,rho0,an
end if
c 601 FORMAT(' **densit** t,rho,ne,rho0,an',I3,0PF10.1,1P5D11.3)
c 602 FORMAT(' **densit** t,rho,ne',I3,0PF10.1,1P5D11.3)
CALL INIMOD
c
CALL WNSTOR(ID)
CALL SABOLF(ID)
CALL RATMAT(ID,ES,BS)
CALL LEVSOL(ES,BS,POPLTE,NLEVEL)
DO J=1,NLEVEL
POPUL(J,ID)=POPLTE(J)
END DO
c
return
end
C
C ********************************************************************
C
SUBROUTINE TODENS(ID,T,AN,ANE)
C ==============================
C
C determines AN (and ANP, AHTOT, and AHMOL) from T and ANE
C
C Input parameters:
C T - temperature
C ANE - electron number density
C
C Output:
C AN - total particle density
C ANP - proton number density
C AHTOT - total hydrogen number density
C AHMOL - relative number of hydrogen molecules with respect to the
C total number of hydrogens
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
common/hydmol/anhmi,ahmol
parameter (un=1.d0,two=2.d0,half=0.5d0)
C
QM=0.
Q2=0.
QP=0.
Q=0.
DQN=0.
TK=BOLK*T
THET=5.0404D3/T
C
C Coefficients entering ionization (dissociation) balance of:
C atomic hydrogen - QH;
C negative hydrogen ion - QM
C hydrogen molecule - QP
C ion of hydrogen molecule - Q2
C
QM=1.0353D-16/T/SQRT(T)*EXP(8762.9/T)
QH=EXP((15.38287+1.5*LOG10(T)-13.595*THET)*2.30258509299405)
c
if(t.gt.16000.) then
ih2=0
ih2p=0
else
QP=TK*EXP((-11.206998+THET*(2.7942767+THET*
* (0.079196803-0.024790744*THET)))*2.30258509299405)
Q2=TK*EXP((-12.533505+THET*(4.9251644+THET*
* (-0.056191273+0.0032687661*THET)))*2.30258509299405)
ih2=1
end if
C
C procedure STATE determines Q (and DQN) - the total charge (and its
C derivative wrt temperature) due to ionization of all atoms which
C are considered (both explicit and non-explicit), by solving the set
C of Saha equations for the current values of T and ANE
C
CALL STATE(ID,T,ANE,Q)
C
C Auxiliary parameters for evaluating the elements of matrix of
C linearized equations.
C Note that complexity of the matrix depends on whether the hydrogen
C molecule is taken into account
C Treatment of hydrogen ionization-dissociation is based on
C Mihalas, in Methods in Comput. Phys. 7, p.10 (1967)
C
G2=QH/ANE
G3=0.
G4=0.
G5=0.
D=0.
E=0.
G3=QM*ANE
A=UN+G2+G3
D=G2-G3
IF(IT.LE.1) THEN
IF(IH2.EQ.0) THEN
F1=UN/A
FE=D/A+Q
ELSE
E=G2*QP/Q2
B=TWO*(UN+E)
GG=ANE*Q2
C1=B*(GG*B+A*D)-E*A*A
C2=A*(TWO*E+B*Q)-D*B
C3=-E-B*Q
F1=(SQRT(C2*C2-4.*C1*C3)-C2)*HALF/C1
FE=F1*D+E*(UN-A*F1)/B+Q
END IF
AH=ANE/FE
ANH=AH*F1
END IF
AE=ANH/ANE
GG=AE*QP
E=ANH*Q2
B=ANH*QM
C
c S(1)=AN-ANE-YTOT(ID)*AH
c S(2)=ANH*(D+GG)+Q*AH-ANE
c S(3)=AH-ANH*(A+TWO*(E+GG))
c
hhn=A+TWO*(E+GG)
anh=ane/(d+gg+q*hhn)
ah=anh*hhn
an=ane+ytot(id)*ah
C
AHTOT=AH
AHMOL=TWO*ANH*(ANH*Q2+ANH/ANE*QP)/AH
ANP=ANH/ANE*QH
RETURN
END
C
C
C ***********************************************************************
C
subroutine rhonen(id,t,rho,an,ane)
c ==================================
c
c iterative determination of N and Ne from given T and RHO
c
C
C Input: T - temperature
C RHO - mass density
C Output: AN - total particle density
C ANE - elctron density
C
INCLUDE 'PARAMS.FOR'
common/nerela/anerel
c
it=0
if(id.eq.1.and.anerel.eq.0.) then
anerel=0.5
if(t.lt.9000.) anerel=0.4
if(t.lt.8000.) anerel=0.1
if(t.lt.7000.) anerel=0.01
if(t.lt.6000.) anerel=0.001
if(t.lt.5500.) anerel=0.0001
c if(t.lt.5000.) anerel=1.e-5
c if(t.lt.4000.) anerel=1.e-6
end if
10 continue
it=it+1
an=rho/wmm(id)/(1.d0-anerel)
ane0=anerel*an
call eldens(id,t,an,ane)
anerel=ane/an
write(6,602) it,id,t,rho,an,ane,wmm(id),anerel
602 format(/' **** rhonen it,id,t,r,N,Ne,wmm,ner',2i4,f7.0,1p5e11.4)
if(abs((ane-ane0)/ane0).lt.1.e-5) go to 20
if(it.lt.50) go to 10
c write(6,601) an,ane,ane0
c 601 format(/' slow convergence of RHONEN - N,Ne,Nep=',1p3e11.3)
20 continue
c
return
end
C
C ********************************************************************
C
SUBROUTINE ELDENS(ID,T,AN,ANE)
C ==============================
C
C Evaluation of the electron density and the total hydrogen
C number density for a given total particle number density
C and temperature;
C by solving the set of Saha equations, charge conservation and
C particle conservation equations (by a Newton-Raphson method)
C
C Input parameters:
C T - temperature
C AN - total particle number density
C
C Output:
C ANE - electron density
C ANP - proton number density
C AHTOT - total hydrogen number density
C AHMOL - relativer number of hydrogen molecules with respect to the
C total number of hydrogens
C ENERG - part of the internal energy: excitation and ionization
C
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
common/hydmol/anhmi,ahmol
common/hydato/ah,anh,anp
common/nerela/anerel
parameter (un=1.d0,two=2.d0,half=0.5d0)
DIMENSION R(3,3),S(3),P(3)
C
TK=BOLK*T
if(ifmol.gt.0.and.t.lt.tmolim) then
aein=an*anerel
call moleq(id,t,an,aein,ane,0)
anerel=ane/an
return
end if
c
QM=0.
Q2=0.
QP=0.
Q=0.
DQN=0.
TK=BOLK*T
THET=5.0404D3/T
C
C Coefficients entering ionization (dissociation) balance of:
C atomic hydrogen - QH;
C negative hydrogen ion - QM
C hydrogen molecule - Q2
C ion of hydrogen molecule - QP
C
IF(IATREF.EQ.IATH) THEN
QM=1.0353D-16/T/SQRT(T)*EXP(8762.9/T)
QH0=EXP((15.38287+1.5*LOG10(T)-13.595*THET)*2.30258509299405)
c
if(t.gt.16000.) then
ih2=0
else
ih2=1
QP=TK*EXP((-11.206998+THET*(2.7942767+THET*
* (0.079196803-0.024790744*THET)))*2.30258509299405)
Q2=TK*EXP((-12.533505+THET*(4.9251644+THET*
* (-0.056191273+0.0032687661*THET)))*2.30258509299405)
end if
END IF
C
C Initial estimate of the electron density
C
if(anerel.le.0.) then
if(t.gt.1.e4) then
anerel=0.5
else
if(elec(id).gt.0..and.dens(id).gt.0.) then
anerel=elec(id)/(elec(id)+dens(id)/wmm(id))
else
anerel=0.1
end if
end if
end if
c
ANE=AN*ANEREL
IT=0
C
C Basic Newton-Raphson loop - solution of the non-linear set
C for the unknown vector P, consistiong of AH, ANH (neutral
C hydrogen number density) and ANE.
C
10 IT=IT+1
C
C procedure STATE determines Q (and DQN) - the total charge (and its
C derivative wrt temperature) due to ionization of all atoms which
C are considered (both explicit and non-explicit), by solving the set
C of Saha equations for the current values of T and ANE
C
CALL STATE(ID,T,ANE,Q)
QH=QH0*2./PFSTD(1,1)
C
C Auxiliary parameters for evaluating the elements of matrix of
C linearized equations.
C Note that complexity of the matrix depends on whether the hydrogen
C molecule is taken into account
C Treatment of hydrogen ionization-dissociation is based on
C Mihalas, in Methods in Comput. Phys. 7, p.10 (1967)
C
IF(IATREF.EQ.IATH) THEN
G2=QH/ANE
G3=0.
G4=0.
G5=0.
D=0.
E=0.
G3=QM*ANE
A=UN+G2+G3
D=G2-G3
IF(IT.LE.1) THEN
IF(IH2.EQ.0) THEN
F1=UN/A
FE=D/A+Q
ELSE
E=G2*QP/Q2
B=TWO*(UN+E)
GG=ANE*Q2
C1=B*(GG*B+A*D)-E*A*A
C2=A*(TWO*E+B*Q)-D*B
C3=-E-B*Q
F1=(SQRT(C2*C2-4.*C1*C3)-C2)*HALF/C1
FE=F1*D+E*(UN-A*F1)/B+Q
END IF
AH=ANE/FE
ANH=AH*F1
END IF
AE=ANH/ANE
GG=AE*QP
E=ANH*Q2
B=ANH*QM
C
C Matrix of the linearized system R, and the rhs vector S
C
R(1,1)=YTOT(ID)
c R(1,2)=0.
r(1,2)=-two*(anh*q2+gg)
R(1,3)=UN
R(2,1)=-Q
R(2,2)=-D-TWO*GG
R(2,3)=UN+B+AE*(G2+GG)-DQN*AH
R(3,1)=-UN
R(3,2)=A+4.*(anh*q2+GG)
R(3,3)=B-AE*(G2+TWO*GG)
S(1)=AN-ANE-YTOT(ID)*AH+anh*(anh*q2+gg)
S(2)=ANH*(D+GG)+Q*AH-ANE
S(3)=AH-ANH*(A+TWO*(anh*q2+GG))
C
C Solution of the linearized equations for the correction vector P
C
CALL LINEQS(R,S,P,3,3)
C
C New values of AH, ANH, and ANE
C
AH=AH+P(1)
ANH=ANH+P(2)
DELNE=P(3)
ANE=ANE+DELNE
C
C hydrogen is not the reference atom
C
ELSE
C
C Matrix of the linearized system R, and the rhs vector S
C
IF(IT.EQ.1) THEN
ANE=AN*HALF
AH=ANE/YTOT(ID)
END IF
R(1,1)=YTOT(ID)
R(1,2)=UN
R(2,1)=-Q-QREF
R(2,2)=UN-(DQN+DQNR)*AH
S(1)=AN-ANE-YTOT(ID)*AH
S(2)=(Q+QREF)*AH-ANE
C
C Solution of the linearized equations for the correction vector P
C
CALL LINEQS(R,S,P,2,3)
AH=AH+P(1)
DELNE=P(2)
ANE=ANE+DELNE
END IF
C
C Convergence criterion
C
IF(ANE.LE.0.) ANE=1.D-7*AN
IF(ABS(DELNE/ANE).GT.1.D-6.AND.IT.LE.20) GO TO 10
C
C ANEREL is the exact ratio betwen electron density and total
C particle density, which is going to be used in the subseguent
C call of ELDENS
C
ANEREL=ANE/AN
AHTOT=AH
IF(IATREF.EQ.IATH) THEN
c AHMOL=TWO*ANH*(ANH*Q2+ANH/ANE*QP)/AH
AHMOL=ANH*ANH*Q2
ANP=ANH/ANE*QH
ANHMI=ANH*ANE*QM
anhn=anh+anp+anhmi+2.*ahmol
wmm(id)=wmy(id)/(ytot(id)-ahmol/anhn)*hmass
END IF
C
RETURN
END
C
C
C ********************************************************************
C
C
SUBROUTINE TIMING(MOD,ITER)
C ===========================
C
C Timing procedure (call machine dependent routine!!)
C
CHARACTER ROUT*6
dimension dummy(2)
common/timeta/dtim
DATA T0/0./
SAVE T0
C
TIME=etime(dummy)
DT=TIME-T0
T0=TIME
IP=ITER
IF(MOD.EQ.1) THEN
ROUT=' TABLE'
ELSE IF(MOD.EQ.2) THEN
ROUT=' FINAL'
ENDIF
WRITE(69,600) IP,TIME,DT,ROUT
dtim=dt
600 FORMAT(I6,2F11.2,2X,A6)
RETURN
END
C
C
C ********************************************************************
C
C
subroutine eospri
c =================
c
c Outprint of Equation of State parameters
c
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
common/moltst/pfmol(600,mdepth),anmol(600,mdepth),
* pfato(100,mdepth),anato(100,mdepth),
* pfion(100,mdepth),anion(100,mdepth)
common/hydmol/anhmi,ahmol
common/hydato/ah,anh,anp
common/ioniz2/anion2(30,mdepth)
dimension nelemx(38)
dimension amh2(5),xml(20),insm(20)
data nelemx/ 1, 2, 3, 4, 5, 6, 7, 8, 9,
* 11,12,13,14,15,16,17,19,20,
* 21,22,23,24,25,26,28,29,32,
* 35,37,38,39,40,41,53,56,57,58,60/
data amh2/1.13390E+01,-2.97499E+00,4.10842E-02,-3.58550E-03,
* 1.31844E-04/
data insm/2,3,4,5,6,7,8,12,17,25,29,30,32,34,122,126,134,
* 179,198,214/
data init/1/
c
c id=idstd
istp=1
if(ifeos.lt.0) istp=-ifeos
c
do id=1,nd,istp
t=temp(id)
ane=elec(id)
rho=dens(id)
ann = dens(id)/wmm(id)+elec(id)
c
if(ifmol.eq.0.or.t.gt.tmolim) then
it=0
10 continue
ann0=ann
it=it+1
call eldens(id,t,ann,ane)
anmol(1,id)=anhmi
anmol(2,id)=ahmol
anato(1,id)=anh
anion(1,id)=anp
hpop=dens(id)/wmy(id)/hmass
do i=1,nmetal
j=nelemx(i)
anato(j,id)=anato(j,id)*hpop
anion(j,id)=anion(j,id)*hpop
if(j.ge.2.and.j.le.30) anion2(j,id)=anion2(j,id)*hpop
end do
anato(1,id)=anh
anion(1,id)=anp
c wmm(id)=(wmy(id)+2.*anmol(2,id)/hpop)/ytot(id)*hmass
wmm(id)=wmy(id)/(ytot(id)-anmol(2,id)/hpop)*hmass
ann=dens(id)/wmm(id)+ane
if((ann-ann0)/ann0.gt.1.e-5) go to 10
end if
c
nmetal=38
write(*,*) ''
write(*,*) 'atomic number densities and partition functions'
write(*,*) ''
atot=0.
do i=1,nmetal
j=nelemx(i)
if(j.le.28)
* write(6,621) j,typat(j),anato(j,id),pfato(j,id)
atot=atot+anato(j,id)
end do
write(*,*) ''
write(*,*) 'ionic number densities and partition functions'
write(*,*) ''
ctot=0.
do i=1,nmetal
j=nelemx(i)
if(j.le.28)
* write(6,622) j,typat(j),anion(j,id),pfion(j,id)
atot=atot+anion(j,id)
ctot=ctot+anion(j,id)
end do
621 format(i4,a3,3x,1p2e12.4)
622 format(i4,a3,'+',2x,1p2e12.4)
c
if(ifmol.gt.0.and.t.le.tmolim) then
write(6,600)
do i=1,nmolec
if(anmol(i,id).gt.ann*1.e-15)
* write(6,601) i, cmol(i), anmol(i,id), pfmol(i,id)
atot=atot+anmol(i,id)
end do
end if
600 format(/ 'Molecular number densities and partition functions'/)
601 format(i4,1x,A8,1x,1pe12.4,1x,e12.4)
c
ahmi=1.0353e-16/t/sqrt(t)*exp(8762.9/t)*
* anato(1,id)*ane
c
c original B&C H2+
c
APLOGJ=amh2(5)
te=5040./t
DO K=1,4
KM5=5-K
APLOGJ=APLOGJ*TE + amh2(KM5)
END DO
tk=1.38054e-16*t
ph2=-aplogj+log10(anato(1,id)*anion(1,id))+2.*log10(tk)
anh2b=(10.**ph2)/tk
htot=anato(1,id)+anion(1,id)+anmol(1,id)+
* 2.*(anmol(2,id)+anmol(3,id))+anmol(4,id)+anmol(5,id)+
* anmol(12,id)+2.*anmol(13,id)+anmol(14,id)+
* anmol(15,id)+
* anmol(16,id)+anmol(17,id)+anmol(32,id)+anmol(34,id)+
* 4.*anmol(37,id)+2.*anmol(38,id)+3.*anmol(39,id)+
* 2.*anmol(40,id)+3.*anmol(41,id)+2.*anmol(57,id)+
* anmol(118,id)+anmol(133,id)+
* 2.*anmol(140,id)+3.*anmol(141,id)+4.*anmol(142,id)+
* anmol(148,id)+2.*anmol(149,id)+anmol(222,id)
ahe= (anato(2,id)+anion(2,id)+anion2(2,id))/htot
aca= (anato(6,id)+anion(6,id)+anion2(6,id))/htot
acm= (anmol(5,id)+anmol(6,id)+
* anmol(7,id)+2.*(anmol(8,id)+2.*anmol(13,id))+
* anmol(14,id)+2.*anmol(15,id)+anmol(20,id)+
* anmol(37,id)+anmol(38,id)+anmol(39,id)+
* anmol(44,id)+anmol(118,id)+anmol(119,id)+
* anmol(437,id)+anmol(453,id)
* )/htot
ana= (anato(7,id)+anion(7,id)+anion2(7,id))/htot
anm= (anmol(7,id)+2.*anmol(9,id)+anmol(11,id)+
* anmol(12,id)+anmol(14,id)+anmol(23,id)+
* anmol(24,id)+anmol(40,id)+anmol(41,id)+
* anmol(109,id)+anmol(152,id)+anmol(347,id)+
* anmol(438,id)+anmol(452,id)+anmol(454,id)
* )/htot
aoa= (anato(8,id)+anion(8,id)+anion2(8,id))/htot
aom= (anmol(3,id)+anmol(4,id)+
* anmol(6,id)+2.*anmol(10,id)+anmol(11,id)+anmol(25,id)+
* anmol(26,id)+anmol(29,id)+anmol(30,id)+anmol(31,id)+
* anmol(35,id)+2.*anmol(44,id)+anmol(49,id)+anmol(51,id)+
* anmol(54,id)+2.*anmol(56,id)+anmol(65,id)+
* 2.*anmol(66,id)+anmol(84,id)+anmol(109,id)+
* anmol(113,id)+anmol(115,id)+anmol(118,id)+
* anmol(119,id)+anmol(126,id)+anmol(134,id)+
* anmol(153,id)+anmol(179,id)+anmol(184,id)+
* 2.*anmol(185,id)+anmol(200,id)+anmol(216,id)+
* anmol(221,id)+2.*anmol(247,id)+anmol(292,id)+
* anmol(439,id)+anmol(453,id)+anmol(454,id)
* )/htot
ac=aca+acm
an=ana+anm
ao=aoa+aom
write(6,623) t,dens(id),ann,atot+ane,ane,ctot-anmol(1,id),
* anato(1,id),anion(1,id),
* anmol(1,id),anmol(2,id),
* anmol(312,id),anmol(426,id),anh2b,
* htot,
* anmol(1,id),ahmi,anmol(1,id)/ahmi,
* anato(6,id),anion(6,id),anmol(6,id),anmol(37,id),
* anato(7,id),anion(7,id),anmol(9,id),anmol(41,id),
* anato(8,id),anion(8,id),anmol(3,id),anmol(6,id),
* ahe,ahe/abndd(2,id),
* ac,ac/abndd(6,id),
* an,an/abndd(7,id),
* ao,ao/abndd(8,id)
act=ac*htot
ant=an*htot
aot=ao*htot
623 format(/'EOS useful quantities - summary'//
* 'T,rho ',f13.2,1pe13.5/
* 'N ',1p2e13.5/
* 'n_e ',1p2e13.5/
* 'H,H+,H-,H2 ',1p4e13.5/
* 'H2-,H2+,H2+b',1p3e13.5/
* 'Htot ',1pe13.5/
* 'H- ',1p3e13.5/
* 'C,C+,CO,CH4 ',1p4e13.5/
* 'N,N+,N2,NH3 ',1p4e13.5/
* 'O,O+,H2O,CO ',1p4e13.5/
* 'He/H ',1p2e13.5/
* 'C/H ',1p2e13.5/
* 'N/H ',1p2e13.5/
* 'O/H ',1p2e13.5/)
c
if(init.eq.1) then
write(52,625)
write(51,626)
write(53,653) (cmol(insm(i)),i=1,20)
write(54,654) (cmol(insm(i)),i=1,20)
c
625 format(' T rho w_mol Ne/Ntot N(Htot) '
* 'n(H) n(H2)',6x,
* 'a(He) a(C) a(N) a(O) molfr(C) molfr(N) molfr(O)'/)
c * 'a(He) a(C) a(N) a(O) n(C) n(CO) n(CH4)',5x,
c * 'n(N) n(N2) n(NH3) n(O) n(H2O) n(CO)'/)
init=0
end if
c
c write(51,624) t,dens(id),wmm(id)/hmass,ane/ann,
c * htot,anato(1,id)/htot,2.*anmol(2,id)/htot,
c * ahe/abndd(2,id),ac/abndd(6,id),an/abndd(7,id),ao/abndd(8,id),
c * anato(6,id)/act,anmol(6,id)/act,anmol(37,id)/act,
c * anato(7,id)/ant,2.*anmol(9,id)/ant,anmol(41,id)/ant,
c * anato(8,id)/aot,anmol(3,id)/aot,anmol(6,id)/aot
write(52,624) t,dens(id),wmm(id)/hmass,ane/ann,
* htot,anato(1,id),2.*anmol(2,id),
* ahe/abndd(2,id),ac/abndd(6,id),an/abndd(7,id),ao/abndd(8,id),
* acm/ac,anm/an,aom/ao
c * anato(6,id),anmol(6,id),anmol(37,id),
c * anato(7,id),anmol(9,id),anmol(41,id),
c * anato(8,id),anmol(3,id),anmol(6,id)
624 format(f8.1,1pe9.2,0pf8.5,1x,1p4e9.2,1x,0p4f8.5,1x,1p3e9.2,1x,
* 3e9.2,1x,3e9.2)
c
write(51,627) t,dens(id),wmm(id)/hmass,ann,ane,htot,
* anato(1,id),anion(1,id),anmol(1,id),anmol(2,id),anmol(312,id),
* anmol(426,id)
c * anmol(426,id),anh2b
626 format(' T rho w_mol N Ne N(Htot) ',
* 'N(H) N(H+) N(H-) N(H2) N(H2-) N(H2+)'/)
c * 'N(H) N(H+) N(H-) N(H2) N(H2-) N(H2+) N(H2+b)'/)
627 format(f8.1,1pe9.2,0pf8.5,1x,1p10e9.2)
c
if(ifmol.gt.0.and.t.le.tmolim) then
do i=1,20
im=insm(i)
xml(i)=log10(anmol(im,id)/pfmol(im,id))
end do
write(53,655) t,log10(dens(id)),(xml(i),i=1,20)
do i=1,20
im=insm(i)
xml(i)=log10(anmol(im,id)/htot)
c xml(i)=log10(anmol(im,id))
end do
write(54,655) t,log10(dens(id)),(xml(i),i=1,20)
end if
c
653 format(' log10(N/U)'/' T rho ',20a6/)
654 format(' log10[N/n(H)]'/' T rho ',20a6/)
655 format(2f6.1,1x,20f6.1)
c
end do
return
end
C
C
C *******************************************************************
C
C
subroutine cia_h2h2(t,ah2,ff,opac)
c ===================--=============
c
c CIA H2-H2 opacity
c data from Borysow A., Jorgensen U.G., Fu Y. 2001, JQSRT 68, 235
c
IMPLICIT REAL*8(A-H,O-Z)
parameter (nlines=1000)
dimension freq(nlines),temp(7),alpha(nlines,7)
parameter (amagat=2.6867774d+19,fac=1./amagat**2)
data temp / 1000. , 2000. , 3000. , 4000. , 5000. , 6000. ,
* 7000. /
data ntemp /7/
data ifirst /0/
PARAMETER (CAS=2.997925D10)
c input frequency in Hz but needed wave numbers in cm^-1
f=ff/cas
c read in CIA tables if this is the first call
if (ifirst.eq.0) then
write(*,'(a)') 'Reading in H2-H2 CIA opacity tables...'
open(10,file="./data/CIA_H2H2.dat",status='old')
do i=1,3
read (10,*)
enddo
do i=1,nlines
read (10,*) freq(i),(alpha(i,j),j=1,ntemp)
enddo
close(10)
c take logarithm of tables prior to doing linear interpolations
do i=1,nlines
do j=1,ntemp
alpha(i,j)=log(alpha(i,j))
enddo
enddo
ifirst=1
endif
c locate position in temperature array
call locate(temp,ntemp,t,j,ntemp)
if (j.eq.0) then
write(*,*)
write(*,'(a,f6.0,a)')
* 'Warning: requested temperature is below',temp(1),' K'
write(*,'(a)') 'CIA H2-H2 opacity set to 0'
write(*,*)
opac=0.
return
endif
c locate position in frequency array
call locate(freq,nlines,f,i,nlines)
c linearly interpolate in frequency and temperature
if (j.eq.ntemp) then
c hold values constant if off high temperature end of table
y1=alpha(i,j)
y2=alpha(i+1,j)
tt=(f-freq(i))/(freq(i+1)-freq(i))
alp=(1.-tt)*y1 + tt*y2
else if (i.eq.0 .or. i.eq.nlines) then
c set values to a very small number if off frequency table
alp=-50.
else
c interpolate linearly within table
y1=alpha(i,j)
y2=alpha(i+1,j)
y3=alpha(i+1,j+1)
y4=alpha(i,j+1)
tt=(f-freq(i))/(freq(i+1)-freq(i))
uu=(t-temp(j))/(temp(j+1)-temp(j))
alp=(1.-tt)*(1.-uu)*y1 + tt*(1.-uu)*y2 + tt*uu*y3 +
* (1.-tt)*uu*y4
endif
alp=exp(alp)
c final opacity
opac=fac*ah2*ah2*alp
c
return
end
C
C
C
C ********************************************************************
C
C
SUBROUTINE locate(xx,n,x,j,nxdim)
c =================================
c
IMPLICIT REAL*8(A-H,O-Z)
dimension xx(nxdim)
c
jl=0
ju=n+1
10 if(ju-jl.gt.1)then
jm=(ju+jl)/2
if((xx(n).ge.xx(1)).eqv.(x.ge.xx(jm)))then
jl=jm
else
ju=jm
endif
goto 10
endif
if(x.eq.xx(1)) then
j=1
else if(x.eq.xx(n)) then
j=n-1
else
j=jl
endif
return
END
C
C
C ********************************************************************
C
C
subroutine cia_h2he(t,ah2,ahe,ff,opac)
c ======================================
c
c CIA H2-He opacity
c data from Jorgensen U.G., Hammer D., Borysow A., Falkesgaard J., 2000,
c Astronomy & Astrophysics 361, 283
c
IMPLICIT REAL*8(A-H,O-Z)
parameter (nlines=242)
dimension freq(nlines),temp(7),alpha(nlines,7)
parameter (amagat=2.6867774d+19,fac=1./amagat**2)
data temp / 1000. , 2000. , 3000. , 4000. , 5000. , 6000. ,
* 7000. /
data ntemp /7/
data ifirst /0/
PARAMETER (CAS=2.997925D10)
c input frequency in Hz but needed wave numbers in cm^-1
f=ff/cas
c read in CIA tables if this is the first call
if (ifirst.eq.0) then
write(*,'(a)') 'Reading in H2-He CIA opacity tables...'
open(10,file="./data/CIA_H2He.dat",status='old')
do i=1,3
read (10,*)
enddo
do i=1,nlines
read (10,*) freq(i),(alpha(i,j),j=1,ntemp)
enddo
close(10)
c take logarithm of tables prior to doing linear interpolations
do i=1,nlines
do j=1,ntemp
alpha(i,j)=log(alpha(i,j))
enddo
enddo
ifirst=1
endif
c locate position in temperature array
call locate(temp,ntemp,t,j,ntemp)
if (j.eq.0) then
write(*,*)
write(*,'(a,f6.0,a)')
* 'Warning: requested temperature is below',temp(1),' K'
write(*,'(a)') 'CIA H2-He opacity set to 0'
write(*,*)
opac=0.
return
endif
c locate position in frequency array
call locate(freq,nlines,f,i,nlines)
c linearly interpolate in frequency and temperature
if (j.eq.ntemp) then
c hold values constant if off high temperature end of table
y1=alpha(i,j)
y2=alpha(i+1,j)
tt=(f-freq(i))/(freq(i+1)-freq(i))
alp=(1.-tt)*y1 + tt*y2
else if (i.eq.0 .or. i.eq.nlines) then
c set values to a very small number if off frequency table
alp=-50.
else
c interpolate linearly within table
y1=alpha(i,j)
y2=alpha(i+1,j)
y3=alpha(i+1,j+1)
y4=alpha(i,j+1)
tt=(f-freq(i))/(freq(i+1)-freq(i))
uu=(t-temp(j))/(temp(j+1)-temp(j))
alp=(1.-tt)*(1.-uu)*y1 + tt*(1.-uu)*y2 + tt*uu*y3 +
* (1.-tt)*uu*y4
endif
alp=exp(alp)
c final opacity
opac=fac*ah2*ahe*alp
c
return
end
C
C
C *******************************************************************
C
C
subroutine cia_h2h(t,ah2,ah,ff,opac)
c ====================================
c
c CIA H2-H opacity - data taken from TURBOSPEC
c
IMPLICIT REAL*8(A-H,O-Z)
parameter (nlines=67)
dimension freq(nlines),temp(4),alpha(nlines,4)
parameter (amagat=2.6867774d+19,fac=1./amagat**2)
data temp / 1000. , 1500., 2000. , 2500. /
data ntemp /4/
data ifirst /0/
PARAMETER (CAS=2.997925D10)
c input frequency in Hz but needed wave numbers in cm^-1
f=ff/cas
c read in CIA tables if this is the first call
if (ifirst.eq.0) then
write(*,'(a)') 'Reading in H2-H CIA opacity tables...'
open(10,file="./data/CIA_H2H.dat",status='old')
do i=1,3
read (10,*)
enddo
do i=1,nlines
read (10,*) freq(i),(alpha(i,j),j=1,ntemp)
enddo
close(10)
c take logarithm of tables prior to doing linear interpolations
do i=1,nlines
do j=1,ntemp
alpha(i,j)=log(alpha(i,j))
enddo
enddo
ifirst=1
endif
c locate position in temperature array
call locate(temp,ntemp,t,j,ntemp)
if (j.eq.0) then
write(*,*)
write(*,'(a,f6.0,a)')
* 'Warning: requested temperature is below',temp(1),' K'
write(*,'(a)') 'CIA H2-H opacity set to 0'
write(*,*)
opac=0.
return
endif
c locate position in frequency array
call locate(freq,nlines,f,i,nlines)
c linearly interpolate in frequency and temperature
if (j.eq.ntemp) then
c hold values constant if off high temperature end of table
y1=alpha(i,j)
y2=alpha(i+1,j)
tt=(f-freq(i))/(freq(i+1)-freq(i))
alp=(1.-tt)*y1 + tt*y2
else if (i.eq.0 .or. i.eq.nlines) then
c set values to a very small number if off frequency table
alp=-50.
else
c interpolate linearly within table
y1=alpha(i,j)
y2=alpha(i+1,j)
y3=alpha(i+1,j+1)
y4=alpha(i,j+1)
tt=(f-freq(i))/(freq(i+1)-freq(i))
uu=(t-temp(j))/(temp(j+1)-temp(j))
alp=(1.-tt)*(1.-uu)*y1 + tt*(1.-uu)*y2 + tt*uu*y3 +
* (1.-tt)*uu*y4
endif
alp=exp(alp)
c final opacity
opac=fac*ah2*ah*alp
c
return
end
C
C
C *******************************************************************
C
C
subroutine cia_hhe(t,ah,ahe,ff,opac)
c ====================================
c
c CIA H-He opacity
c data from Gustafsson M., Frommhold, L. 2001, ApJ 546, 1168
c
IMPLICIT REAL*8(A-H,O-Z)
parameter (nlines=43)
dimension freq(nlines),temp(11),alpha(nlines,11)
parameter (amagat=2.6867774d+19,fac=1./amagat**2)
data temp / 1000., 1500., 2250., 3000., 4000., 5000.,
* 6000., 7000., 8000., 9000., 10000./
data ntemp /11/
data ifirst /0/
PARAMETER (CAS=2.997925D10)
c input frequency in Hz but needed wave numbers in cm^-1
f=ff/cas
c read in CIA tables if this is the first call
if (ifirst.eq.0) then
write(*,'(a)') 'Reading in H-He CIA opacity tables...'
open(10,file="./data/CIA_HHe.dat",status='old')
do i=1,3
read (10,*)
enddo
do i=1,nlines
read (10,*) freq(i),(alpha(i,j),j=1,ntemp)
enddo
close(10)
c take logarithm of tables prior to doing linear interpolations
do i=1,nlines
do j=1,ntemp
alpha(i,j)=log(alpha(i,j))
enddo
enddo
ifirst=1
endif
c locate position in temperature array
call locate(temp,ntemp,t,j,ntemp)
if (j.eq.0) then
write(*,*)
write(*,'(a,f6.0,a)')
* 'Warning: requested temperature is below',temp(1),' K'
write(*,'(a)') 'CIA H-He opacity set to 0'
write(*,*)
opac=0.
return
endif
c locate position in frequency array
call locate(freq,nlines,f,i,nlines)
c linearly interpolate in frequency and temperature
if (j.eq.ntemp) then
c hold values constant if off high temperature end of table
y1=alpha(i,j)
y2=alpha(i+1,j)
tt=(f-freq(i))/(freq(i+1)-freq(i))
alp=(1.-tt)*y1 + tt*y2
else if (i.eq.0 .or. i.eq.nlines) then
c set values to a very small number if off frequency table
alp=-50.
else
c interpolate linearly within table
y1=alpha(i,j)
y2=alpha(i+1,j)
y3=alpha(i+1,j+1)
y4=alpha(i,j+1)
tt=(f-freq(i))/(freq(i+1)-freq(i))
uu=(t-temp(j))/(temp(j+1)-temp(j))
alp=(1.-tt)*(1.-uu)*y1 + tt*(1.-uu)*y2 + tt*uu*y3 +
* (1.-tt)*uu*y4
endif
alp=exp(alp)
c final opacity
opac=fac*ah*ahe*alp
c
return
end
C
C
C *******************************************************************
C
C
subroutine h2minus(t,anh2,ane,fr,oph2m)
C =======================================
C
C H- free-free opacity
C
C data from K L Bell 1980 J. Phys. B: At. Mol. Phys. 13 1859, Table 1
C The first column is theta=5040/T(K)
C The first row are names for each row corresponding to lambda (angstroms)
C The last row for 10.0 is linearly extrapolated
C The units of everything else is 10^26 cm4/dyn-1
C
INCLUDE 'PARAMS.FOR'
dimension FFthet(9),FFlamb(18),FFkapp(18,9)
data FFthet / 0.5, 0.8, 1.0, 1.2, 1.6, 2.0,
* 2.8, 3.6, 10.0 /
data nthet /9/
data FFlamb /151883., 113913., 91130., 60753.,
* 45565., 36452., 30377., 22783.,
* 18226., 15188., 11391., 9113., 7594.,
* 6509., 5696., 5063., 4142., 3505./
data nlamb /18/
data FFkapp /
* 7.16e+01,4.03e+01,2.58e+01,1.15e+01,6.47e+00,
* 4.15e+00,2.89e+00,1.63e+00,1.05e+00,7.36e-01,
* 4.20e-01,2.73e-01,1.92e-01,1.43e-01,1.10e-01,
* 8.70e-02,5.84e-02,4.17e-02,9.23e+01,5.20e+01,
* 3.33e+01,1.48e+01,8.37e+00,5.38e+00,3.76e+00,
* 2.14e+00,1.39e+00,9.75e-01,5.64e-01,3.71e-01,
* 2.64e-01,1.98e-01,1.54e-01,1.24e-01,8.43e-02,
* 6.10e-02,1.01e+02,5.70e+01,3.65e+01,1.63e+01,
* 9.20e+00,5.92e+00,4.14e+00,2.36e+00,1.54e+00,
* 1.09e+00,6.35e-01,4.22e-01,3.03e-01,2.30e-01,
* 1.80e-01,1.46e-01,1.01e-01,7.34e-02,1.08e+02,
* 6.08e+01,3.90e+01,1.74e+01,9.84e+00,6.35e+00,
* 4.44e+00,2.55e+00,1.66e+00,1.18e+00,6.97e-01,
* 4.67e-01,3.39e-01,2.59e-01,2.06e-01,1.67e-01,
* 1.17e-01,8.59e-02,1.18e+02,6.65e+01,4.27e+01,
* 1.91e+01,1.08e+01,6.99e+00,4.91e+00,2.84e+00,
* 1.87e+00,1.34e+00,8.06e-01,5.52e-01,4.08e-01,
* 3.17e-01,2.55e-01,2.10e-01,1.49e-01,1.11e-01,
* 1.26e+02,7.08e+01,4.54e+01,2.04e+01,1.16e+01,
* 7.50e+00,5.28e+00,3.07e+00,2.04e+00,1.48e+00,
* 9.09e-01,6.33e-01,4.76e-01,3.75e-01,3.05e-01,
* 2.53e-01,1.82e-01,1.37e-01,1.38e+02,7.76e+01,
* 4.98e+01,2.24e+01,1.28e+01,8.32e+00,5.90e+00,
* 3.49e+00,2.36e+00,1.74e+00,1.11e+00,7.97e-01,
* 6.13e-01,4.92e-01,4.06e-01,3.39e-01,2.49e-01,
* 1.87e-01,1.47e+02,8.30e+01,5.33e+01,2.40e+01,
* 1.38e+01,9.02e+00,6.44e+00,3.90e+00,2.68e+00,
* 2.01e+00,1.32e+00,9.63e-01,7.51e-01,6.09e-01,
* 5.07e-01,4.27e-01,3.16e-01,2.40e-01,2.19e+02,
* 1.26e+02,8.13e+01,3.68e+01,2.18e+01,1.46e+01,
* 1.08e+01,7.18e+00,5.24e+00,4.17e+00,3.00e+00,
* 2.29e+00,1.86e+00,1.55e+00,1.32e+00,1.13e+00,
* 8.52e-01,6.64e-01/
c locate position in temperature array
theta=5040./t
call locate(FFthet,nthet,theta,j,nthet)
if (j.eq.0) then
write(*,*)
write(*,'(a,f6.0,a)')
* 'Error: requested temperature is outside the ranges'
write(*,'(a)') 'h2minus:Stop'
write(*,*)
stop
endif
flamb=CL*1.D8/fr
c locate position in wavelength array
call locate(FFlamb,nlamb,flamb,i,nlamb)
c linearly interpolate in frequency and temperature
if (j.eq.nthet) then
c hold values constant if off high temperature end of table
y1=FFkapp(i,j)
y2=FFkapp(i+1,j)
tt=(flamb-FFlamb(i))/(FFlamb(i+1)-FFlamb(i))
Fkappa=(1.-tt)*y1 + tt*y2
else if (i.eq.0 .or. i.eq.nlines) then
c set values to 0 if off frequency table
Fkappa=0.0
else
c interpolate linearly within table
y1=FFkapp(i,j)
y2=FFkapp(i+1,j)
y3=FFkapp(i+1,j+1)
y4=FFkapp(i,j+1)
tt=(flamb-FFlamb(i))/(FFlamb(i+1)-FFlamb(i))
uu=(theta-FFthet(j))/(FFthet(j+1)-FFthet(j))
Fkappa=(1.-tt)*(1.-uu)*y1 + tt*(1.-uu)*y2 + tt*uu*y3 +
* (1.-tt)*uu*y4
endif
pe=ane*BOLK*t
oph2m= anh2 * 1.0E-26 *pe * Fkappa
return
end
c
c
c **********************************************************************
c
c
subroutine h2opf(t,pf)
c
c partition function for H2Ofrom EXOMOILA data
c
INCLUDE 'PARAMS.FOR'
dimension ttab(10000),pftab(10000)
c
data init /1/
c
if(init.eq.1) then
open(67,file='./data/h2o_exomol.pf',status='old')
do i=1,10000
read(67,*) ttab(i),pftab(i)
end do
close(67)
init=0
end if
c
itab=ifix(real(t))
pf=pftab(itab)+(t-ttab(itab))*(pftab(itab+1)-pftab(itab))
return
end
c
c
c **********************************************************************
c
c
subroutine vopf(t,pf)
c
c partition function for VO from EXOMOILA data
c
INCLUDE 'PARAMS.FOR'
dimension ttab(10000),pftab(10000)
c
data init /1/
c
if(init.eq.1) then
open(67,file='./data/vo_exomol.pf',status='old')
do i=1,8000
read(67,*) ttab(i),pftab(i)
end do
close(67)
init=0
end if
c
itab=ifix(real(t))
pf=pftab(itab)+(t-ttab(itab))*(pftab(itab+1)-pftab(itab))
return
end
C
C
C
C *******************************************************************
C
C
function gvdw(il,ilist,id)
c ==========================
c
c evaluation of the Van der Waals broadening parameter
c
c currently, two possibilities, determined by the value of the parameter
c ivdwli(ilist) - the mode of evaluation is the same for the whole line list
c = 0 - standard expression
c > 0 - evaluation using EXOMOL data, assuming breadening by H2 and He
c
INCLUDE 'PARAMS.FOR'
INCLUDE 'MODELP.FOR'
INCLUDE 'LINDAT.FOR'
COMMON/PRFQUA/DOPA1(MATOM,MDEPTH),VDWC(MDEPTH)
c
c clasical, original expression
c
if(ivdwli(ilist).eq.0) then
gvdw=gwm(il,ilist)*vdwc(id)
return
end if
c
c EXOMOL form - broadening by H2 and He
c
c con= 1.e-6*c*k
con=4.1388e-12
t=temp(id)
anhe=rrr(id,1,2)
gvdw=con*t*((296./t)**gexph2(il,ilist)*gvdwh2(il,ilist)*anh2(id)+
* (296./t)**gexphe(il,ilist)*gvdwhe(il,ilist)*anhe)
return
end
C
C
C *******************************************************************
C
C
subroutine exopf(indmol,t,u)
c ============================
c
c oartition functions from EXOMOL for 32 molewcular species
c
INCLUDE 'PARAMS.FOR'
parameter (nmol=32)
character*4 filpf(nmol)
character*7 fil
character*6 fil1
character*1 fil0
character*17 fil5
character*18 fil6
dimension indtsu(nmol),ntemp(nmol),pf(nmol,10000)
c
data filpf/
* ' AlO',' C2',' CH',' CN',' CO',
* ' CS',' CaH',' CaO',' CrH',' FeH',
* ' H2',' HCl',' HF',' MgH',' MgO',
* ' N2',' NH',' NO',' NS',' NaH',
* ' OH',' PH',' SH',' SiH',' SiO',
* ' SiS',' TiH',' TiO',' VO',
^ ' H2O',' H2S',' CO2'/
data ntemp/
* 9, 10, 8, 3, 9, 3, 3, 8, 3, 10,
* 10, 5, 5, 3, 5, 9, 5, 5, 5, 5,
* 5, 4, 5, 5, 9, 5, 48, 8, 8, 10,
* 3, 5/
data indtsu/
* 134, 8, 5, 7, 6, 20, 34, 179, 198, 214,
* 2, 36, 33, 32, 126, 9, 12, 11, 23, 122,
* 4, 148, 16, 17, 25, 28, 315, 29, 30, 3,
* 57, 44/
data iread /1/
c
if(iread.eq.1) then
do i=1,nmol
ntemp(i)=ntemp(i)*1000
end do
ntemp(27)=ntemp(27)/10
do i=1,nmol
fil=filpf(i)//'.pf'
fil1=fil(2:)
fil0=fil1(:1)
if(fil0.eq.' ') then
fil5='data/EXOMOL/'//fil1(2:)
open(unit=67,file=fil5,status='old')
else
fil6=fil1
open(unit=67,file='data/EXOMOL/'//fil6,status='old')
end if
do j=1,ntemp(i)
read(67,*) tt,pf(i,j)
end do
close(67)
end do
iread=0
end if
c
ie=0
u=0.
do i=1,nmol
if(indtsu(i).eq.indmol) ie=i
end do
if(ie.eq.0) return
c
tmax=float(ntemp(ie))
if(t.le.tmax) then
j=int(t)
u=pf(ie,j)
else
call irwpf(0,0,indmol,tmax,umx)
call irwpf(0,0,indmol,t,uirw)
u=pf(ie,ntemp(ie))/umx*uirw
end if
c
return
end
C
C
C *******************************************************************
C
C
subroutine irwpf(jatom,ion,indmol,t,u)
c ======================================
c
c partition functions adter Irwin (1981), ApJS. 45, 621.
c updated with the data of Barklem & Collet (2016)
C set to the Irwin format by Y. Ossorio
c
c Input: jatom - atomic number; if =0 - molecules
c ion - ionization degree
c indmol - index of a molecule in the new Tsuji-type
c indexing (from file tsuji.molec_bc2)
c t - temperature
c Output: u - partition function
c
c array IRWIND(I) - the Irwin index corresponding to Tsuji
c index I
c if =0 - molecule I has no data in the Irwin table
c
INCLUDE 'PARAMS.FOR'
real*8 a(6,3,92),aa(6),am(6,500),spec(500)
dimension irwind(478)
save iread,a,am
c
data irwind/
* 0, 1, 28, 4, 2, 7, 6, 5, 8, 10,
* 9, 3, 18, 25, 53, 29, 43, 0, 17, 153,
* 52, 55, 167, 44, 45, 182, 74, 46, 11, 187,
* 201, 31, 27, 99, 209, 24, 22, 20, 21, 65,
* 35, 19, 54, 23, 0, 14, 58, 0, 32, 12,
* 47, 16, 0, 34, 0, 0, 30, 0, 13, 33,
* 61, 63, 292, 57, 59, 66, 272, 0, 94, 175,
* 226, 286, 0, 0, 0, 176, 227, 287, 0, 0,
* 0, 96, 0, 177, 0, 267, 228, 288, 0, 0,
* 0, 0, 93, 147, 162, 5*0,
* 0, 50, 0, 0, 0, 0, 36, 0, 64, 0,
* 0, 48, 0, 0, 148, 0, 0, 26, 49, 70,
* 178, 97, 170, 229, 0, 180, 268, 230, 0, 289,
* 0, 0, 15, 181, 0, 269, 4*0,
* 0, 0, 0, 231, 0, 290, 0, 38, 0, 0,
* 152, 39, 40, 0, 41, 232, 0, 291, 0, 0,
* 0, 0, 0, 75, 154, 0, 0, 0, 183, 0,
* 0, 0, 0, 0, 0, 98, 184, 234, 185, 270,
* 0, 0, 0, 186, 0, 0, 271, 235, 0, 0,
* 62, 0, 0, 0, 0, 0, 0, 101, 0, 188,
* 0, 0, 0, 0, 0, 102, 189, 3*0,
* 236, 0, 294, 67, 0, 190, 0, 0, 0, 295,
* 0, 0, 104, 191, 237, 0, 105, 192, 274, 238,
* 296, 112, 245, 303, 113, 199, 0, 278, 246, 0,
* 304, 0, 0, 0, 0, 200, 0, 0, 279, 247,
* 0, 305, 0, 0, 172, 5*0,
* 0, 120, 122, 208, 0, 282, 255, 0, 312, 0,
* 7*0, 283, 256, 0,
* 10*0,
* 275, 194, 108, 241, 299, 202, 0, 68, 69, 71,
* 72, 73, 42, 37, 76, 77, 78, 79, 80, 81,
* 82, 83, 92, 95, 100, 103, 106, 107, 109, 110,
* 111, 114, 115, 116, 117, 118, 119, 121, 123, 124,
* 125, 126, 127, 128, 129, 149, 150, 151, 155, 156,
* 157, 158, 159, 163, 164, 165, 166, 168, 169, 170,
* 171, 193, 195, 196, 197, 198, 203, 204, 205, 206,
* 207, 210, 211, 212, 213, 214, 215, 216, 217, 218,
* 225, 233, 239, 240, 242, 243, 244, 248, 249, 250,
* 251, 252, 253, 254, 257, 258, 259, 260, 262, 262,
* 263, 264, 265, 266, 273, 276, 277, 280, 282, 284,
* 285, 293, 297, 298, 300, 301, 302, 306, 307, 308,
* 309, 310, 311, 60, 313, 314, 315, 316, 317, 318,
* 319, 320, 321, 322, 323, 324, 84, 85, 86, 87,
* 88, 89, 90, 91, 130, 131, 132, 133, 134, 135,
* 136, 137, 138, 139, 140, 141, 142, 143, 144, 145,
* 146, 160, 161, 173, 174, 210, 220, 221, 222, 223,
* 224,16*0, 56/
c
data iread /0/
c
c call old Irwin routine MPARTF if desired
c
if(irwtab.eq.0) then
call mpartf(jatom,ion,indmol,t,u)
return
end if
c
c read data if first call:
c
if(iread.ne.1) then
if(irwtab.eq.0) then
open(67,file= './data/irwin_orig.dat',status='old')
else
open(67,file= './data/irwin_bc.dat',status='old')
end if
read(67,*)
read(67,*)
do j=1,92
do i=1,3
if(j.eq.1.and.i.eq.3) goto 10
sp=float(j)+float(i-1)/100.
read(67,*) spc,aa
do k=1,6
a(k,i,j)=aa(k)
end do
10 continue
end do
end do
c
read(67,*)
read(67,*)
read(67,*)
do i=1,324
read(67,*,end=15) spec(i),aa
do j=1,6
am(j,i)=aa(j)
end do
end do
15 continue
close(67)
iread=1
endif
c
c evaluation of the partition function
c stop if T is out of limits of Irwin's tables
c
if(t.lt.1000.) then
stop 'partf; temp<1000 K'
else if(t.gt.16000.) then
stop 'partf; temp>16000 K'
endif
tl=log(t)
u=0.
c
c atomic species
c
if(jatom.gt.0.and.ion.gt.0) then
ulog= a(1,ion,jatom)+
* tl*(a(2,ion,jatom)+
* tl*(a(3,ion,jatom)+
* tl*(a(4,ion,jatom)+
* tl*(a(5,ion,jatom)+
* tl*(a(6,ion,jatom))))))
if(jatom.eq.5.and.ion.eq.3) ulog=1.
C write(*,*) 'bor',ion,tl,ulog
c * write(6,631) ion,tl,a(1,ion,jatom),tl*a(2,ion,jatom),
c tl**2*a(3,ion,jatom),tl**3*a(4,ion,jatom),tl**4*a(5,ion,jatom),
c * tl**5*a(6,ion,jatom),ulog
c 631 format('bor',i4,1p8e11.3)
u=exp(ulog)
return
end if
c
c molecular species
c
if(indmol.gt.0) then
indm=irwind(indmol)
if(indm.le.0) return
ulog= am(1,indm)+
* tl*(am(2,indm)+
* tl*(am(3,indm)+
* tl*(am(4,indm)+
* tl*(am(5,indm)+
* tl*(am(6,indm))))))
u=exp(ulog)
c if(t.gt.5128..and.t.lt.5129.)
c * write(6,631) t,indmol,indm,u
c 631 format('irwpf',f10.1,2i5,f16.3)
end if
return
end
C
C =========================================================================
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