Statistical Electron-Density Distributions and Thomas-Fermi-Dirac Screening Functions for Positive Ions with Degree of Ionization One through Four

Abstract

Statistical electron-density distributions and Thomas-Fermi-Dirac (TFD) screening functions have been obtained for a total of 394 positive ions of elements having integral atomic numbers up to $Z=105\mathrm{}$, for 117 values of radial distance from the ionic center in each case. For degrees of ionization 1 through 4, the starting values of $Z$ are 5, 6, 9, and 10, respectively. These solutions were calculated, in part, by using Thomas' solutions of the TFD equation in terms of the statistical electron distributions for nonintegral values of $Z$ and Jensen's boundary conditions. Values for singly ionized cesium and francium; doubly ionized barium and cadmium; triply ionized lanthanum and actinium; and quadruply ionized cerium and thorium are given here. The complete set of tables for all 394 ions has been deposited with ASIS National Auxiliary Publications Service.