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VI/54       Horizontal Branch Stellar Model Calculations (Dorman 1992)
================================================================================
Horizontal Branch Stellar Model Calculations
    Dorman B.
   <Astrophys. J. Suppl. Ser., 81, 221 (1992)>
   =1992ApJS...81..221D
================================================================================
ADC_Keywords: Abundances, [Fe/H] ; Isochrones ; Stars, horizontal branch

Description:
    This data set consists of evolutionary sequences from the Zero Age
    Horizontal Branch (ZAHB) to the point where log L/Lsun reaches 2.25 on
    the lower AGB. These calculations have enhanced oxygen abundance
    according to a relation used by VandenBerg (1992ApJ...391..685V) and
    Bergbusch and VandenBerg (1992ApJS...81..163B) for main sequence
    and red-giant branch models. Also, zero age sequences for oxygen
    enhanced and scaled-solar compositions are given.

Introduction:
    There are thirteen data files in this directory, ten of which contain
    evolutionary sequences from the ZAHB to the point where log(L/Lsun)
    reaches 2.25 on the lower AGB. These calculations have enhanced oxygen
    abundance according to a relation used by VandenBerg (1992) and
    Bergbusch and VandenBerg (1992) in computations of evolutionary tracks
    and isochrones for main sequence and red-giant branch models. The
    other three contain zero age sequences for oxygen enhanced and
    scaled-solar compositions, as explained below. The models with
    [O/Fe]>0 are described in more detail in Dorman (1992). Briefly, the
    models use Los Alamos (1977) high temperature opacities, Alexander
    (1980) low temperature opacities, the reaction rates listed in
    Caughlan and Fowler (1988), and the Eggleton et. al. (1973) equation
    of state. model atmospheres for surface pressures used by VandenBerg
    (1992), and a mixing length of 1.5 pressure scale heights.
    Accompanying scaled-solar evolution calculations may be available on
    request, through the address given below. A complete bibliography for
    the input physics in these models can be found from the 3 papers
    listed in the References below.

Evolutionary sequences:
    The ten files are for ten different compositions, lying between
    [Fe/H]=-2.26 and -0.47. The filenames (f24a14.dat,f24b24.dat etc.) are
    significant in the sense that the `24' which appears in every name
    refers to the ZAMS helium abundance, to two significant figures. The
    `14', `24', `34' etc. gives the mantissa and exponent of the value of
    Z', the heavy element abundance of a model with the same [Fe/H], but
    without the oxygen enhancement. Thus, f24j63.dat contains sequences
    with the same iron abundance as scaled solar models with Z = 0.006. A
    summary of the contents of each file is given below. The tables here
    have been derived from the original calculations using cubic Hermite
    spline interpolation, and are tabulated at even intervals of the
    central helium abundances; the intervals change towards exhaustion.
    After Y is exhausted at the centre of the model, the tracks are
    tabulated at intervals of 0.25 Myr.
      ----------------------------------------------
      Filename      YHB     [Fe/H] [O/Fe]    Msh
      ----------------------------------------------
      f24a14.dat    0.246   -2.26   0.75    0.4926
      f24b24.dat    0.247   -2.03   0.70    0.4904
      f24c34.dat    0.248   -1.78   0.66    0.4881
      f24d44.dat    0.248   -1.66   0.63    0.4866
      f24e64.dat    0.249   -1.48   0.60    0.4852
      f24f13.dat    0.250   -1.26   0.55    0.4835
      f24g23.dat    0.252   -1.03   0.50    0.4815
      f24h33.dat    0.257   -0.78   0.39    0.4792
      f24i43.dat    0.259   -0.65   0.30    0.4776
      f24j63.dat    0.266   -0.47   0.23    0.4757
      ----------------------------------------------

Zero Age Horizontal Branch models:
    There is one file for [O/Fe] > 0 models (zahbo.dat), and there are two
    for scaled solar calculations. The first of these (zahb.dat) contains
    ZAHB models for the [Fe/H] values which correspond to the enhanced
    oxygen sets. The other (zahbs.dat), containing models for just 3
    compositions, has data for [Fe/H] = -0.23, 0 and +0.15 ( Z = 0.01,
    0.0169 and 0.024). These have been calculated with the Krishna-Swamy
    scaled-solar T-tau relation and with mixing length 1.58 pressure
    scaleheights. They are not consistent with the others, therefore, and
    using them together to derive theoretical quantities as a function of
    metallicity may give spurious results. All of the oxygen-enhanced
    ZAHBs contain models for masses between about 0.5 and 1.5 solar
    masses, while the range of the scaled-solar models varies.


File Summary:
--------------------------------------------------------------------------------
 FileName    Lrecl    Records    Explanations
--------------------------------------------------------------------------------
ReadMe          80          .    This file
f24a14.dat     114        595    Evolutionary sequence [Fe/H]=-2.26
f24b24.dat     114        615    Evolutionary sequence [Fe/H]=-2.03
f24c34.dat     114        665    Evolutionary sequence [Fe/H]=-1.78
f24d44.dat     114        586    Evolutionary sequence [Fe/H]=-1.66
f24e64.dat     114        496    Evolutionary sequence [Fe/H]=-1.48
f24f13.dat     114        498    Evolutionary sequence [Fe/H]=-1.26
f24g23.dat     114        564    Evolutionary sequence [Fe/H]=-1.03
f24h33.dat     114        497    Evolutionary sequence [Fe/H]=-0.78
f24i43.dat     114        472    Evolutionary sequence [Fe/H]=-0.65
f24j63.dat     114        424    Evolutionary sequence [Fe/H]=-0.47
zahb.dat        84        167    Zero Age Horizontal Branch model.
                                      Scaled solar sequences
zahbo.dat       84        221    Zero Age Horizontal Branch model.
                                      Enhanced O ZAHB Sequences
zahbs.dat       84         40    Zero Age Horizontal Branch model.
                                      Scaled solar metal rich compositions
--------------------------------------------------------------------------------

Byte-by-byte Description of file: f*.dat
--------------------------------------------------------------------------------
   Bytes Format Units    Label     Explanations
--------------------------------------------------------------------------------
   1-  5  F5.2  solMass  Mass      Stellar mass
   6- 10  F5.2  Sun      [Fe/H]    Metallicity relative to Sun (log scale)
  11- 15  F5.2  Sun      [O/Fe]    Oxygen abundance relative to Sun (log scale)
  17- 22  F6.2  Myr      Age       ? Age in Myr since ZAHB
  24- 30  F7.4  ---      Yc        [0/1]? Central helium fraction
  32- 37  F6.3  solLum   logL      ? Surface luminosity (log scale)
  39- 44  F6.3  K        logTe     ? Effective temperature (log scale)
  46- 51  F6.3  cm/s2    log.g     ? Surface gravity, cgs units (log scale)
  53- 58  F6.3  mag      Mv        Absolute Visual magnitude, derived from scale
                                   described by VandenBerg (1992ApJ...391..685V)
  60- 65  F6.3  mag      B-V       colour index
  67- 72  F6.3  K        logTc     Central Temperature (log scale)
  74- 79  F6.3  g/cm3    log.rho_c Central density, cgs units (log scale)
  81- 86  F6.3  solMass  Mccore    ? Mass of convective core
  88- 93  F6.3  solMass  Mout      ? Mass at outer edge of semiconvection zone
  95-100  F6.3  solMass  Msh       Mass at peak energy production rate of
                                     Hydrogen burning shell
 102-107  F6.3  ---      A         ? A = log.L/M^0.81, a quantity arising from
                                   pulsation models (1)
 109-114  F6.3  d        logP      ? Period of RR Lyrae pulsation (log scale)
                                   in the fundamental mode (1)
--------------------------------------------------------------------------------
Note (1): the two quantities A and logP are given for
           3.79 < log T < 3.90.
--------------------------------------------------------------------------------

Byte-by-byte Description of file: zahb*.dat
--------------------------------------------------------------------------------
   Bytes Format Units   Label      Explanations
--------------------------------------------------------------------------------
   1-  5  F5.3  ---     YHB        [0/1] Helium abundance
   6- 10  F5.2  Sun     [Fe/H]     Metallicity relative to Sun (log scale)
  11- 15  F5.2  Sun     [O/Fe]     Oxygen abundance relative to Sun (log scale)
  17- 21  F5.3  solMass Msh        Core mass at He flash
  23- 28  F6.2  solMass Mass       Stellar mass (solar units)
  30- 35  F6.3  solLum  logL       Surface luminosity (log scale)
  37- 42  F6.3  K       logTe      Effective temperature (log scale)
  44- 49  F6.3  cm/s2   log.g      Surface gravity, cgs units (log scale)
  51- 56  F6.3  mag     Mv         Absolute Visual magnitude
  58- 63  F6.3  mag     B-V        colour index
  65- 70  F6.3  cm      logR       Radius  (log scale)
  72- 77  F6.3  K       logTc      Central Temperature (log scale)
  79- 84  F6.3  g/cm3   log.rho_c  Central density, cgs units (log scale)
--------------------------------------------------------------------------------

Acknowledgements:
    We thank Ben Dorman <bd4r@borealis.astro.Virginia.EDU>
    for providing the files and the necessary explanations in early 1992.

References:
   I. VandenBerg, D.A. 1992, ApJ, 391, 685  (1992ApJ...391..685V)
  II. Bergbusch, P.A., VandenBerg, D.A. 1992, ApJS, 81, 163
      (1992ApJS...81..163B)
 III. Dorman, B. 1992 Ap. J. Supp. 81, July 1992 (1992ApJS...81..221D)
================================================================================
(End)                                     CDS Catalogue Service      04-Mar-1996

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