Ionization Equilibrium at High Densities.

Abstract

view Abstract Citations (30) References (15) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Ionization Equilibrium at High Densities. Rouse, Carl A. Abstract A formulation of pressure ionization of a monatomic material is presented ill which the Saha equation is modified by a probability that an ion can exist iii a mean atomic volume of radius r5. This modification is justified by postulating a density-dependent normalization of the isolated atom wavefunctions. In quation of state calculations at densities of degenerate or partially degenerate stars, the present formulation yields a density of "free" or mobile electrons to which Fermi-Dirac statistics can be applied to calculate electron pressures and energies. At all densities of stellar interest that is, from the center of the star to the atmosphere, the modified Salia equation will obtain a continuous and consistent flist-order equation of state. Second- and higher-order corrections can be calculated by using the output of the present formulation as the assumed charged densities in cluster expansion-type theories. Results are given for hydrogen and iron with a probability that an ion can exist given by (r5) = exp - ( aWro) . The results for hydrogen are shown to be compatible with results from more restrictive models. A method of including temperature-density effects in rigorous calculations of atomic structure is suggested. Publication: The Astrophysical Journal Pub Date: January 1964 DOI: 10.1086/147756 Bibcode: 1964ApJ...139..339R full text sources ADS |