Accession Number:

AD0659948

Title:

SCREENED COULOMB FORMULATION OF THE IONIZATION EQUILIBRIUM EQUATION OF STATE,

Descriptive Note:

Corporate Author:

NAVAL RESEARCH LAB WASHINGTON D C

Personal Author(s):

Report Date:

1967-09-18

Pagination or Media Count:

22.0

Abstract:

The ionization equilibrium equation of state IEEOS is formulated relative to the numerical solutions of the Schrodinger equation with the complete screened Coulomb potential CSCP. A finite electronic partition function and the change in ionization potential with screening radius--the radius of the mean atomic volume--which have been derived elsewhere, are used in the authors modification of the Saha equation. The resulting IEEOS is used for hydrogen and iron, where pressures at high densities and temperature are compared with pressures from the equation of state based upon the Thomas-Fermi-Dirac TFD statistical model of the atom. The present formulation is completely independent of TFD results yet it gives very good agreement, for monatomic elements of all Z, with TFD pressures at high densities and temperatures, where the TFD results are believed to be reasonable at low temperatures and densities, where the TFD pressures are either much too high or negative, the IEEOS yields the correct monatomic limit. Furthermore, in the region with T approximately equal to 1 eV and rho approximately equal to rho sub zero, the normal solid-liquid density, the IEEOS pressures are in good agreement with experimental extrapolations. Consequently, since mixtures of monatomic elements can also be handled with equal ease, the present IEEOS represents a significant improvement over the TFD equation of state. Author

Subject Categories:

  • Astrophysics
  • Physical Chemistry
  • Nuclear Physics and Elementary Particle Physics
  • Quantum Theory and Relativity

Distribution Statement:

APPROVED FOR PUBLIC RELEASE