Charge Distributions in Fluorine and Neon

Abstract

Hartree fields (modified to take account of exchange between $2p$ electrons) have been obtained for F, ${\mathrm{F}}^{-}$, Ne. The energy parameters of the $1s$, $2s$ and $2p$ electrons are found to be 53.08, 2.40 and 1.09 for F; 52.38, 1.50 and 0.14 for ${\mathrm{F}}^{-}$; and 65.68, 2.75, and 1.51 for Ne. The use of the fields for F and ${\mathrm{F}}^{-}$ enable one to test the wave equation of the "hole" given by Heisenberg and Dirac. This equation is found to be equivalent to the Hartree equation for the corresponding electron and to give the wrong sign for the electron affinity of F. The $1s$, $2s$ and $2p$ functions have been represented by analytic expressions of the Slater type.