The Relative Intensities of Super-Multiplet Lines

Abstract

A simple method is described by which one may construct wave functions for the case of ($\mathrm{jj}$) coupling. The wave functions for ${(2p)}^{2}$, so determined, agree with those given in a previous paper, when one sets the electrostatic interaction equal to zero. It is shown how the ordinary multiplet intensity formulae may be modified to give the relative intensities in a super-multiplet for ($\mathrm{jj}$) coupling. The modified formulae, applied to the transition ${(2p)}^{2}\ensuremath{\rightarrow}2p3s$, give relative intensities in agreement with those found in the above paper, for this limiting case. The sumrules hold quite generally for non-equivalent electrons, and it is shown to what degree they hold for a transition such as ${(2p)}^{2}\ensuremath{\rightarrow}2p3s$.