Multiplet Separations and Perturbed Terms

Abstract

It is well known that the multiplets in spectral series show an anomalous widening in regions where they are strongly perturbed by a vagrant term of large multiplet structure, which tends to impress its characteristics upon the series. Formulae are derived in this paper for the multiplet widths of perturbed terms, which enable one to calculate the separation of the multiplet levels providing the total shift of the "centers of gravity" of the multiplets from their unperturbed values is known. If a Ritz correction, $n^{*}=n-0.03629+\frac{0.0399}{n^2}$, is assumed to give the positions of the terms exclusive of interaction with the perturbing $3p3d{}_{}{}^3{}_{}{}^{}F$ term, one obtains excellent agreement between calculated and observed multiplet widths for the $3snf{}_{}{}^3{}_{}{}^{}F$ series of Al II. Other examples treated are the ${}_{}{}^2{}_{}{}^{}P$ series of Cu I and the $6snf{}_{}{}^3{}_{}{}^{}F$ series of Ba I.