Basic input file FT05.DAT
This is the basic input file to the program.
Basic data
Atomic data
The input data depend on the first input character
CH
- CH='F'
- CH='A'
- CH='I'
- CH='L'
- CH='T'
-
CH,
IRR,
II,
JJ,
OSC0,
NFLINE,
IFRSPC,
ILIBOU,
DELBOU,
PRFLIN,
IPROF,
LDEPTH,
ICOL,
CPAR,
GAMRAD
- CH='K'
Other data
- MODFRE
-
FRFIRS,
FRLAST,
DLFMAX,
DELION,
PRFLIM
-
ITRAN,
NVEF,
CHVEFM,
NGFOR,
CHGBFM,
IBCUP,
IBCLOW,
LRTE00
- IGRAY
- if IGRAY<=0 (initial model atmosphere is LTE grey plane parallel,
calculated by program)
- if IGRAY>0 (initial model atmosphere is read from input)
- LR (MRAY*L)
- NC
-
LCHC,
XLAMR,
XLCRSW,
DRBLIM
-
IMLAM,
LAMDIA,
LAMREC,
XLALIM
-
IMODS,
LPRAT,
LPFLUX,
IPENBA,
LPEMFL,
LPFOFL,
LPNDFL,
LPINT,
IPLIMB,
LPPOP,
LPRLAM,
LPRELA,
LPRELB,
LPLTE,
LPRDEP,
LPFORM,
LPSTAB,
LPCONV,
LPCROS,
LPTRAN,
LPMTL
-
NNRIT,
CHNRM,
LRATIO,
LBFEXP,
LBFDIR,
NGLIN,
KANLIN
-
LEHE,
LERE,
LETAU,
LESE
-
LLELEC,
LLTEMP,
LLDR,
LLBFAC
-
NDRE,
LRESUP,
LEEE,
NDEE,
ICONV
- IHERAD
-
LDINE,
LDIDR,
LDIT,
IDIORD,
CHDEIM,
IDIR
-
IMODS
Basic data:
LSPHER
T - for a spherically symmetric
model
F - for a plane parallel model
LSTAT
T - for a static model (the only option
available now)
F - for an expanding model (this option
has not been implemented yet)
XLUM
stellar luminosity in solar units
RADIUS
stellar radius in solar units
XMSTAR
stellar mass in solar units
MODCAL
mode of calculation:
0 - model atmosphere calculation
(calculation of temperature, density, population numbers, and
atmospheric extension as a function of column mass depth)
1 - solution of the NLTE problem
(solution of ESE + RTE) for a trace element for a given model
atmosphere
2 - line profile calculation for a
given model atmosphere and population numbers
3 - simple solution of the equations of
statistical equilibrium
LRTSOL
T - radiative transfer equation is
solved (use this option only)
F - radiative transfer equation is not
solved (this option is useful only for special purposes, do not use
it unless you know what are you doing)
VSINI
rotation velocity in cm/s, used only for
MODCAL=2 (line profile calculation) and
LSPHER=T (spherically symmetric atmosphere), for
other values it has no effect
LTE
T - calculation of the LTE model
F - calculation of the NLTE model
LLINES
T
- model atmosphere with all lines considered
F
- model atmosphere with lines in detailed radiative balance
NITER
maximum number of iterations
CHANM
maximum relative change (overall iteration cycle)
LCHANW
T
- departure coefficients are not included into evaluation of relative
changes
F
- all variables are included into evaluation of relative changes
Atomic data:
Each line in this block begins with a character CH.
Data set for each atom begins with the line 'A',
then it is followed by one or more 'I' lines for each ion of the atom.
Data for each ion are followed by data for individual energy levels of
the ion.
After the basic information about the structure of the atom (lines 'A',
'I', and 'L') is read, data for all transitions ('T') follow.
Similar sets of data ('A', 'I', 'L' ... 'L','I','L' ... 'L','I','L', ...
'L','T' ... 'T') are given for each atom.
The atomic data set is terminated by the line 'K'.
The special line 'F' means that next data are read from the file
NAZEV.
When program finds the end of the file NAZEV, it
returns to this file (FT05.DAT).
CH
'F' - input of the file name that
contains atomic data
'A' - input of atom data
'I' - input of ion data
'L' - level data
'T' - transition data
'K' - end of atomic data
NAZEV
name of the file that contains the atomic data (a good suggestion is to
use one atomic input file for each element)
NATNUM
atomic number (1 for hydrogen, 2 for helium, 26 for iron, ...)
ABN
abundance relative to hydrogen; for ABN=0 the solar value from
subroutine INPATO is used
LATREF
T - for a reference atom (atom, for which
the particle or charge conservation equation is used as a closing
equation in ESE), exactly one atom must be selected
F - else, then the abundance equation
(relative to the reference atom) is used as the closing equation in ESE
LATBG0
T - background atom, ESE is not solved for
this atom, but the opacities are calculated
F - standard atom (default)
LPFOCC
T - the partition function is calculated
using the occupation probability formalism of
Hummer & Mihalas (1988), if available
F - the partition function is calculated
using the tables of Traving et al. (1966)
EIONI
ionization energy in CGS units
ICHZ
ionic charge (1 for neutrals, 2 for ions,...)
LIOBG0
T - background ion, ESE is not solved for
this ion; if LATBG0=T for the corresponding atom,
the program sets LIOBG0=T
F - standard ion (default)
ILI
index of the level; this index is only within one atom (i.e. every atom
may have level number 1) to describe transitions, the overall indexing
of levels is done automatically by program
NQUANT
principal quantum number of the level ILI
ELEVI
ionization energy of the level ILI (in CGS units); for ELEVI=0 a
hydrogenic value is used
G
statistical weight of the level ILI (generally REAL to allow
"averaged" levels)
IMERGE
merged level switch (not implemented yet)
=0 - level is not a merged level
>0 - merged level
TYPLEV
type of the level ILI, a CHARACTER*24 variable
ILMOD
=0 - NLTE level, b-factors are allowed
to change every iteration (default, standard value)
=1 - NLTE level, b-factors are fixed
=2 - LTE level, b-factors are fixed to
1
IRR
=0 - transition is assumed to be in
detailed radiative balance (radiative rates are set to 0)
=1 - transition is treated exactly
=2 - transition is considered with the
help of the collisional-radiative switching technique
(Hummer & Voels 1988)
II
index of the lower level (corresponding to
ILI)
JJ
index of the upper level (corresponding to
ILI)
OSC0
oscillator strength (only for lines), for OSC0=0 the hydrogenic
value is set; OSC0 is stored into arrays OSCC (all transitions
including those in detailed radiative balance) and OSC (explicit
transitions)
NFL
then stored into NFLINE;
- for lines: number of frequency points
-
>0 - number of frequency point for a half
of a line (line centre belongs to both halves), the actual value stored
in NFLINE will be 2*NFL-1; for Stark profiles the value stored in NFLINE
is 4*NFL-1
-
<0 - only half of a line profile is
considered (does not work properly, do not use, please
)
-
=0 - no line frequency points (i.e. line is
in a detailed radiative balance)
- for continua:
- =0 - standard
-
<0 - level dissolution (opacity below the
ionization edge - see Hubeny et al. 1994 or
Kubat 1997) is taken into account, NFL is the
number of additional frequency points
IFRSPC
switch for distance between the frequency points in a line
=0 - equidistant frequency points
=1 - power-law frequency points (distance
between successive points is doubled; not suitable for lines with too
many frequency points)
=2 - special setting of frequency points
(the half-line is divided to three parts; spacing in the second part
is twice that in the first part, spacing in the third part is twice
the spacing in the second part, the first part is near the line
center)
ILIBOU
switch for the determination of the line boundary
(testing!), for lines only
=0 - automatic determination of the line
boundary (driven by PRFLIM or PRFLIN)
=1 - distance of the line boundary from
the line center is given in Doppler halfwidths
=2 - distance of the line boundary from
the line center is given in frequency interval (in Hz)
=3 - distance of the line boundary from
the line center is given in wavelength interval (in Angstroms)
DELBOU
distance from the line center to line boundary in units defined by
ILIBOU
PRFLIN
the lower limit for a line profile (for this value the line ends -
if set to zero, the value of PRFLIM is taken as
default)
For most lines it is sufficient to use the value PRFLIM, however, for extremely strong lines (like
Lyman lines in A stars) it is useful to set the limit to much lower
values.
Has no effect for Stark profiles.
IPROF
line profile switch
- for lines:
- =0 - Doppler profile
- =1 - Voigt profile
- =2 - approximate Stark (+Doppler)
profile after Hubeny et al. (1994)
- =3 - Stark (+Doppler) profile after
tables (e.g. Schoning & Butler 1989,
Vidal et al. 1973,
Stehle (1994) - under development (sorry)
- Stark broadening for He I lines after
Dimitrijević & Sahal-Bréchot (1984):
- =201 - Stark broadening of the
HeI 5015.68 A line
- =202 - Stark broadening of the
HeI 3964.73 A line
- =210 - Stark broadening of the
HeI 6678.15 A line
- =219 - Stark broadening of the
HeI 4713.20 A line
- =223 - Stark broadening of the
HeI 5875.70 A line
- =224 - Stark broadening of the
HeI 4471.50 A line
- Stark broadening for O II lines after
Dimitrijević (1982):
- =301 - Stark broadening of the
OII 4652 A line
- =302 - Stark broadening of the
OII 4341 A line
- =303 - Stark broadening of the
OII 3736 A line
- for continua:
- =0 - hydrogenic bound free
cross-section with Gaunt factor set to 1
- =1 - hydrogenic bound free
cross-section with exact Gaunt factor calculated after
Mihalas (1967)
- special formulae for ionization of HeI after
Koester et al. (1985):
- =2111 - ionization from 1s1S level
- =2231 - ionization from 2s3S level
- =2232 - ionization from 2p3P level
- =2230 - ionization from a mean triplet
level <2s3S+2p3P>
- =2211 - ionization from 2s1S level
- =2212 - ionization from 2p1P level
- =2210 - ionization from a mean singlet
level <2s1S+2p1P>
- =2311 - ionization from 3s1S level
- =2312 - ionization from 3p1P level
- =2313 - ionization from 3d1D level
- =2310 - ionization from a mean singlet
level <3s1S+3p1P+3d1D>
- =2331 - ionization from 3s3S level
- =2332 - ionization from 3p3P level
- =2333 - ionization from 3d3D level
- =2330 - ionization from a mean triplet
level <3s3S+3p3P+3d3D>
LDEPTH
T - depth dependent line profile
F - depth independent line profile
depth dependent line profile is more accurate, however, for lines
with few frequency points it is numerically more stable to use depth
independent line profile
ICOL
collision rate switch:
CPAR
additional collisional parameter
GAMRAD
line damping parameter (Γ)
Other data:
MODFRE
=0 - frequency points and weights are set
by a program (standard, the only possibility now)
FRFIRS
the lowest frequency point (s-1)
FRLAST
the highest frequency point (s-1)
DLFMAX
minimum distance between frequency points (in log frequency)
DELION
relative separation of frequency points at the continuum edge
(default value: 10-12)
PRFLIM
the lower limit for a line profile (for this value the line ends -
the best value seems to be 10-9 - default)
ITRAN
mode of calculation of differences in radiative transfer equation
=0 - ordinary 2nd order differences
(Mihalas 1985)
=1 - splines
(Auer 1976)
=2 - Hermite differences
(Auer 1976)
=3 - 2nd order after
Rybicki & Hummer (1991)
NVEF
number of variable Eddington factors (VEF) iterations
CHVEFM
maximum VEF iteration change
NGFOR
total number of Newton-Raphson iterations of b-factors
CHGBFM
maximum Newton-Raphson relative change of b-factors
IBCUP
upper boundary condition mode (standard - default)
=0 - no incident flux
=1 - incident blackbody flux for given
temperature and weakening factor
=2 - incident flux read from the input
file RTEUBC.DAT
IBCLOW
lower boundary condition mode
=0 - diffusion approximation at the
lower boundary (standard - default)
=1 - incident blackbody flux for given
temperature and weakening factor
=2 - incident flux read from the input
file RTELBC.DAT
LRTE00
stops in RTE for negative intensities
IGRAY
input of the model atmosphere
<0 - only grey model is
calculated, no model input
=0 - starting model is the grey
model, no model input
=1 - model atmosphere is read from file
FMODIN
=2 - input of the Kiel model atmosphere
- (read from the file FMODIN)
=3 - input of the
Kurucz (1993) model atmosphere - (read from
the file FMODIN)
=4 - input of the
Mihalas (1972) model atmosphere - (read
from the file FMODIN) - not
tested
ND
number of depth points in the grey atmosphere
TAUMIN
minimum Rosseland optical depth
TAUMAX
maximum Rosseland optical depth
DR1
no meaning!!
MAXG
maximum number of iterations in grey model calculation
RLIMIT
no meaning!!
XXLIM
no meaning!!
GAMMA
no meaning!!
ALPHA
no meaning!!
FMODIN
name of the input file of the model atmosphere (maximum 16
characters)
NEWDEP
>0 - new number of depth points, the
model atmosphere is then interpolated to the new depth scale (no
extrapolation is possible)
=0 - no change of the number of depth
points (default)
LIGNLT
=T - populations of the NLTE input
model atmosphere are ignored (i.e. b-factors set to 1)
=F - normal input of the model
atmosphere (default)
LR
input for each of the ND depth points starting from the first one,
necessary for spherically symmetric atmospheres, has no effect for
plane parallel ones and is ignored
=T - the depth point has a tangent ray
- default
=F - no tangent ray at this depth
point, the values of Eddington factors are interpolated
the first two (outermost) depth points always have a ray
NC
number of core rays (for spherical model only, for plane parallel no
effect) - default value NC=ND/10+1
LCHC
T - charge conservation equation is
used as a closure equation in the equations of statistical
equilibrium (ESE)
F - particle conservation equation is
used as a closure equation in the ESE
XLAMR
initial collisional-radiative switching parameter
(Hummer & Voels 1988) - comes into effect
only if some transition is chosen to have this mode (parameter
IRR=2)
XLCRSW
the factor of radiative rates increase in each iteration step, for
0 the code set its value to sqrt(10)
IMLAM
calculation of the approximate lambda operator (ALO)
=0 - no approximate lambda operator
(lambda iteration)
=1 - lambda operator after
Rybicki (1972) - core saturation
=2 - lambda operator after
Olson & Kunasz (1987) - short
characteristics
=3 - lambda operator is taken from the
solution of the moment radiative transfer equation essentially after
Rybicki & Hummer (1991) and
Puls (1991) - recommended option
LAMDIA
T - diagonal approximate lambda
operator
F - tridiagonal approximate lambda
operator
LAMREC
recalculation of ALO; only for IMLAM#3, for IMLAM=3 the ALO is
recalculated automatically
T - the ALO is recalculated after each
iteration
F - the ALO is not recalculated
XLALIM
the minimum nonuser value of the elements of the approximate lambda
operator, if the value is less then XLALIM, then it is set to 0
Output parameters:
IMODS
temporarily duplicate entry
=0 - only the final model is saved to
the disk
=1 - in addition, the models are saved
after each iteration cycle
=2 - in addition, the models are saved
after each iteration in the Newton-Raphson iteration cycle as well as
after the depth integration
=3 - the models are saved also after
each iteration during the formal solution
LPRAT
T - output of all rates to the file
rates.lst
F - no output of the rates
LPFLUX
T - output of the total flux for each
depth point to the file
flux.lst
F - no output of the total flux
IPENBA
=0 - no output of the energy
balance
=1 - only total values for each depth
point (to the file enbal.lst)
=2 - detailed output for each depth
point and transition
LPEMFL
T - output of the emergent flux to the
file emflux.lst
F - no output of the emergent flux
LPFOFL
T - output of the flux at Rosseland
optical depth 2/3 to the file
formflux.lst
F - no output of the flux at Rosseland
optical depth 2/3
LPNDFL
T - output of the flux at the lowest
depth point (ND) to the file
ndflux.lst
F - no output of the flux at the lowest
depth point
LPINT
T - output of the radiation field to
the file intensit.lst
F - no output of the radiation
field
IPLIMB
1 or 2 - output of the center-to-limb
variation to the file
limb.lst
0 - no output of the center-to-limb
variation
LPPOP
T - output of the level populations,
b-factors, ion populations, etc. to the file
popul.lst
F - no output of the populations
LPRLAM
T - output of the approximate lambda
operator to the file
aprlam.lst
F - no output of the approximate lambda
operator
LPRELA
T - detailed output of the relative
changes to the file relal.lst
F - no detailed output of the relative
changes
LPRELB
T - output of the relative changes of
the b-factors to the file
relbf.lst
F - no output of the relative changes
of the b-factors
LPLTE
T - detailed output of the LTE
quantities to the file lte.lst
F - no output of the LTE
quantities
LPRDEP
T - control output from the depth
integration to the file
depint.lst
F - no output from the depth
integration
LPFORM
T - control output during the formal
solution to the file
formal.lst
F - no control output during the formal
solution
LPSTAB
T - output of the stability test to the
file stabil.lst
F - no output of the stability
test
LPCONV
T - output of the convective gradients
and other convective variables to the file
convec.lst
F - no output of the convective
gradients
LPCROS
T - output of the photoionization cross
sections of all transitions and frequency points to the file
cross.lst
F - no output of the photoionization
cross sections
LPTRAN
T - output of the complete list of all
transitions included into calculation to the file
transit.lst
F - no output of the list of
transitions
LPMTL
T - output of the model atmosphere in
the format of the code
TLUSTY to the
file Mtlusty.DAT;
in addition, the file Ftlusty.DAT is generated, which can
serve as an input file fort.5 to the code
SYNSPEC
F - no output in the TLUSTY format
NNRIT
total number of Newton-Raphson iterations of the atmospheric
structure
CHNRM
maximum change in the iterative (Newton-Raphson) calculations of the
atmospheric structure
LRATIO
T - relative changes of variables are
performed (i.e. corrections are divided by the value which is to be
corrected)
F - absolute changes of variables are
performed
LBFEXP
T - explicit linearization of the
b-factors
F - implicit linearization of the
b-factors (see Kubat 1994)
LBFDIR
T - the new b-factors after
linearization are calculated directly as bnew =
bold + delta b
F - the new b-factors are
calculated using the equations of statistical equilibrium with
updated values of other variables (recommended option)
NGLIN
order of the Ng (1974) acceleration of the
linearization step (=0 for no Ng acceleration)
KANLIN
iteration in the linearization step where Kantorovich acceleration
(Hubeny & Lanz 1992) starts (i.e. when
linearization matrices are stored), no acceleration for KANLIN=0
Determination which equations will be linearized in the
Newton-Raphson step
LEHE
T - the equation of hydrostatic
equilibrium is linearized (and solved)
F - the equation of hydrostatic
equilibrium is not linearized
LERE
T - the equation of radiative
equilibrium is linearized (and solved)
F - the equation of radiative
equilibrium is not linearized
LETAU
T - the equation for the optical depth
is linearized (and solved)
F - the equation for the optical depth
is not linearized
LESE
T - the equations of statistical
equilibrium are linearized (and solved)
F - the equations of statistical
equilibrium are not linearized
Determination which variables will be linearized in the linearized
equations determined in the preceding line
LLELEC
T - the electron density is
linearized
F - the electron density is kept
fixed
LLTEMP
T - the temperature is linearized
F - the temperature is kept fixed
LLDR
T - the radius is linearized (only for
spherically symmetric atmospheres)
F - the radius is kept fixed
LLBFAC
T - the departure coefficients are
linearized
F - the departure coefficients are
kept fixed
Common comment to last two lines: The first line (LEHE, LERE,
LETAU, LESE) determines which equations will be linearized (and solved).
The second line (LLELEC, LLTEMP, LLDR, LLBFAC) determines which basic
atmospheric variables will be linearized (in all equations considered).
The only condition that must be fulfilled is that number of equations
equals the number of variables, otherwise the program stops (and
complains).
However, not all combinations are reasonable, and we recommend to set
LEHE=LLELEC, LERE=LLTEMP, LETAU=LLDR, LESE=LLBFAC.
In addition, program makes following substitutions:
- For LSPHER=.FALSE. it sets
LETAU=LLDR=.FALSE.
- For LTE=.TRUE. it sets LESE=LLBFAC=.FALSE.
- For MODCAL=3 it sets LEHE=LERE=LETAU=.FALSE.
and LESE=LLBFAC=.TRUE.
NDRE
the division point between integral and differential form of the
equation of radiative equilibrium (see Kubat
1996)
for ID<NDRE the integral equation of radiative equilibrium is
used
for ID>=NDRE the differential equation of radiative equilibrium
(flux correction) is used
for NDRE<0 the division point is set to the depth point where
tauR~2/3 at the start and then kept fixed
for NDRE=0 the division point is set to the depth point where
tauR~2/3 after each global iteration step (sometimes not
too stable)
LRESUP
T - the integral equation of radiative
equilibrium is considered also for ID>=NDRE by means of superposed
equation (idea of superposition is after
Hubeny & Lanz 1995, the case of our code is
described in Kubat 1996)
F - the integral equation of radiative
equilibrium is considered strictly only for ID<NDRE
LEEE
T - the equation of radiative
equilibrium is replaced at least in a part of the atmosphere by the
equation of thermal balance of electrons; for a brief description of
this option see Kubat et al. (1998) and
Kubat (2001)
F - the equation of radiative
equilibrium is not replaced
NDEE
the division point between radiative equilibrium equation and the
equation of thermal balance of electrons; for ID<NDEE the thermal
balance equation is used
for NDEE<0 the division point is set to the point where
tauR~10-4 (this is too high however, the latter
value will be improved, suggestions are welcome)
for NDEE=0 - as for the case of <0, but the value of NDEE is
recalculated after each iteration
ICONV
mode of convection: (under development, does not work
properly)
=0 - convection is not considered
(the only working option now)
=1 - the mixing length theory is used;
the formula of Canuto (1996) is taken
=2 - the turbulent convection model of
Canuto & Mazzitelli (1991) is used
=3 - the model of
Canuto et al. (1996) is used
IHERAD
no meaning!!
Depth integration parameters (depth integration is described in
Kubat 1994)
LDINE
T - electron density is depth
integrated (using the equation of hydrostatic equilibrium)
F - electron density is not calculated
using depth integration
LDIDR
T - radius is depth integrated (only
for spherically symmetric atmospheres)
F - radius is not calculated using
depth integration
LDIT
T - temperature is depth
integrated
F - temperature is not calculated using
depth integration
IDIORD
the order of the approximation in the predictor corrector method
(values between 2 and 5 are possible, for <2 it is set to 2, for
>5 it is set to 5); higher values sometimes become unstable
CHDEIM
maximum depth integration relative change
IDIR
direction of depth integration
=0 - downwards
=1 - upwards
IMODS
temporarily duplicate entry
=0 - only the final model is saved to
the disk
=1 - in addition, the models are saved
after each iteration cycle
=2 - in addition, the models are saved
after each iteration in the Newton-Raphson iteration cycle as well as
after the depth integration
=3 - the models are saved also after
each iteration during the formal solution
References:
- Auer L.H.: 1976, J. Quant. Spectrosc. Radiat. Transfer
16, 931
- Canuto V.M.: 1996, Astrophys. J. 467, 385
- Canuto V.M., Mazzitelli I.: 1991. Astrophys J. 370,
295
- Canuto V.M., Goldman I., Mazzitelli I.: 1996, Astrophys J.
473, 550
- Dimitrijević M.S.: 1982, Astron. Astrophys. 112, 251
- Dimitrijević M.S., Sahal-Bréchot S.: 1984,
J. Quant. Spectrosc. Radiat. Transfer 31, 301
- Hubeny I.: 1988, Comput. Phys. Commun. 52, 103
- Hubeny I., Lanz T.: 1992, Astron. Astrophys. 262,
501
- Hubeny I., Lanz T.: 1995, Astrophys. J. 439, 875
- Hubeny I., Hummer D.G., Lanz T.: 1994, Astron. Astrophys.
282, 151
- Hummer D.G., Voels S.A.: 1988, Astron. Astrophys. 192,
279
- Hummer D.G., Mihalas D.: 1988, Astrophys. J. 331,
794
- Koester D., Vauclair G., Dolez N., Oke J.B., Greenstein J.L.,
Weidemann V.: 1985, Astron. Astrophys. 149, 423
- Kubát J.: 1994, Astron. Astrophys. 287, 179
- Kubát J.: 1996, Astron. Astrophys. 305, 255
- Kubát J.: 1997, Astron. Astrophys. 326, 277
- Kubát J.: 2001, Astron. Astrophys. 366, 210
- Kubát J., Puls J., Pauldrach A.W.A.: 1999,
Astron. Astrophys. 341, 587
- Kurucz R.L.: 1993, Solar Abundance Model Atmospheres, Kurucz
CD-ROM No.19
- Mihalas D.: 1967, Astrophys. J. 149, 169
- Mihalas D.: 1972, NCAR-TN/STR-76, NCAR Boulder
- Mihalas D.: 1985, J. Comput. Phys. 57, 1
- Mihalas D., Stone M.E.: 1968, Astrophys. J. 151,
293
- Mihalas D., Heasley J.N., Auer L.H.: 1975, NCAR-TN/STR-104
- Napiwotzki R.: 1993, PhD thesis, Universitat Kiel
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Last update: 19.2.2006