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J/ApJS/63/661            Relativistic Free-Free Gaunt Factor    (Nakagawa+ 1987)
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Relativistic Free-Free Gaunt Factor of the Dense High-Temperature Stellar Plasma
    Nakagawa M., Kohyama Y., Itoh N.
   <Astrophys. J. Suppl. Ser. 63, 661 (1987)>
   =1987ApJS...63..661N
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ADC_Keywords: Atomic physics ; Opacities
Keywords: atomic processes - opacities - plasmas - relativity

Abstract:
    The free-free Gaunt factor of the dense high-temperature stellar
    plasma is calculated by using the accurate relativistic cross section
    and is compared with the Gaunt factor derived by using Sommerfeld's
    exact nonrelativistic cross section. A wide range of electron
    degeneracy is accurately taken into account. Significant deviations
    from the nonrelativistic results are found for high-temperature cases.
    Results are presented in the form of extensive tables to facilitate
    applications.

File Summary:
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 FileName     Lrecl     Records     Explanations
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ReadMe           80           .     This file
table1.dat      139         120    *<<g_ff>>, degeneracy parameter {eta}=-6.0
table2.dat      139         120     <<g_ff>>, degeneracy parameter {eta}=-2.0
table3.dat      139         120     <<g_ff>>, degeneracy parameter {eta}= 0.0
table4.dat      139         120     <<g_ff>>, degeneracy parameter {eta}= 1.0
table5.dat      139         120     <<g_ff>>, degeneracy parameter {eta}= 2.0
table6.dat      139         120     <<g_ff>>, degeneracy parameter {eta}= 3.0
table7.dat      139         120     <<g_ff>>, degeneracy parameter {eta}= 5.0
table8.dat      139         120     <<g_ff>>, degeneracy parameter {eta}=10.0
table9.dat      139         120     <<g_ff>>, degeneracy parameter {eta}=20.0
table10.dat     139         120     <<g_ff>>, degeneracy parameter {eta}=40.0
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Note on table1.dat: <<g_ff>> is the exact nonrelativistic free-free Gaunt factor
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See also:
   J/ApJ/382/636 : Rosseland mean free-free Gaunt factor (Itoh+ 1991)
   J/ApJS/74/291 : Relativistic Free-Free Gaunt Factor. II. (Itoh+ 1990)

Byte-by-byte Description of file: table*.dat
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   Bytes Format  Units       Label      Explanations
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   1-  4  F4.1   ---         Logu      *Log u, u=(h_bar_*{omega})/kT
   6-  7  A2     ---         Elem      *Element for Gaunt factor calculation
  10- 18  E9.3   ---         G-4.0      ? Gaunt factor, log({gamma}^2^)= -4.0
  21- 29  E9.3   ---         G-3.5      ? Gaunt factor, log({gamma}^2^)= -3.5
  32- 40  E9.3   ---         G-3.0      ? Gaunt factor, log({gamma}^2^)= -3.0
  43- 51  E9.3   ---         G-2.5      ? Gaunt factor, log({gamma}^2^)= -2.5
  54- 62  E9.3   ---         G-2.0      ? Gaunt factor, log({gamma}^2^)= -2.0
  65- 73  E9.3   ---         G-1.5      ? Gaunt factor, log({gamma}^2^)= -1.5
  76- 84  E9.3   ---         G-1.0      ? Gaunt factor, log({gamma}^2^)= -1.0
  87- 95  E9.3   ---         G-0.5      ? Gaunt factor, log({gamma}^2^)= -0.5
  98-106  E9.3   ---         G+0.0      ? Gaunt factor, log({gamma}^2^)=  0.0
 109-117  E9.3   ---         G+0.5      ? Gaunt factor, log({gamma}^2^)=  0.5
 120-128  E9.3   ---         G+1.0      ? Gaunt factor, log({gamma}^2^)=  1.0
 131-139  E9.3   ---         G+2.0      ? Gaunt factor, log({gamma}^2^)=  2.0
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Note on Logu:
  Log u, where u=(h_bar_*{omega})/kT, and {omega} is the angular
  frequency of the absorbed photon.
Note on Elem:
  The free-free Gaunt factor was calculated for the following:
        H  - thermally averaged relativistic hydrogen
        He - thermally averaged relativistic helium
        G  - thermally averaged nonrelativistic free-free Gaunt factor
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Origin: AAS CD-ROM series, Volume 9, 1997        Lee E. Brotzman [ADS] 28-Aug-97
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(End)                                                         [CDS]  06-Feb-1998