Hartree-Fock Wave Functions for the4p-Shell Atoms

Abstract

Conventional (or restricted) Hartree-Fock wave functions have been obtained for ${\mathrm{Ga}}^{+}$, ${\mathrm{Ge}}^{++}$, ${\mathrm{Br}}^{-}$, ${\mathrm{Rb}}^{+}$, and the neutral atoms Zn, Ga, Ge, As, Se, Br, and Kr. Analytic Hartree-Fock methods utilizing a version of Nesbet's symmetry and equivalence restrictions were used to obtain the solutions in analytic form (sums of powers of $r$ times exponentials). Results are given in the form of wave functions, one-electron energies, and total energies. Comparison is made with the earlier results for Zn and Kr, the only atoms in this group for which Hartree-Fock solutions exist.