Theory of Complex Spectra. III

Abstract

The consideration of the phases of the fractional-parentage coefficients allows the extension of the matrix methods to configurations with more than two equivalent electrons. Tables are given for the parentages of the terms of ${p}^{n}$ and ${d}^{n}$. Applications are made to the spin-orbit interaction of the ${d}^{n}$ terms and to the electrostatic interaction between the configurations ${d}^{n}$, ${d}^{n\ensuremath{-}1}s$, and ${d}^{n\ensuremath{-}2}{s}^{2}$. Errata in Part II are indicated.