THE ASTROPHYSICAL JOURNAL SUPPLEMENT SERIES, 63:661-684, 1987 March RELATIVISTIC FREE-FREE GAUNT FACTOR OF THE DENSE HIGH-TEMPERATURE STELLAR PLASMA MASAYUKI NAKAGAWA, YASUHARU KOHYAMA, AND NAOKI ITOH Department of Physics, Sophia University, Tokyo, Japan 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. Subject headings: atomic processes - opacities - plasmas - relativity