Energy-Levels of Neon

Abstract

The general expression of energy-levels of an excited rare-gas atom is derived using Breit's Hamiltonian. The interactions between all electrons in the atom are taken into account. The derived expression agrees qualitatively with Laporte's formula. The numerical values of intervals between levels are computed for the configurations 1s²2s²2p⁶3s, 1s ²2s²2p⁶4s, and Is22s22p58s of the neon. The self-consistent field radial functions computed by Brown are used for 1s, 2s and 2p. Those of 3s, 4s, and 8s are calculated from Brown's core-functions by the numerical integrations. The calculated results are shown in Table I. The agreement with experiment is satisfactory