Nonrelativistic variationally optimized exchange potentials for Ne-like atomic ions having large atomic number

Abstract

In an earlier study, the exchange energy density ∈ x (r) has been calculated analytically for Ne-like atomic ions in the nonrelativistic limit of large atomic number Z. Here, though now by numerical methods based on the optimized exchange potential approximation, corresponding results are obtained for V x (r) for such ten-electron ions at large Z. The approach to the bare Coulomb limiting form of the 1/Z expansion is considered in some detail, as are corrections to the Slater potential V S 1 x(r), given in terms of the exchange energy density and ground-state density p(r) by 2∈ x (r)/ρ(r).