Absolute line strengths by analysis of Lu-Fano plots with application to excited state transitions in neon

Abstract

Using energy eigenfunctions obtained by semi-empirical analysis of the Lu-Fano plot (1949) of energy level positions and employing the Coulomb approximation of Bates and Damgaard (see abstr. A70754 of 1970) the absolute line strengths for transitions between the neon two-channel Rydberg series 2p⁵(²P₃2,1/2/)nsJ=1 and 2p⁵(²P₃2,1/2/)n'pJ=0 for n, n'=3,4 are calculated. Each Rydberg series is analysed separately to obtain a set of five parameters which completely define the energy eigenfunctions for all values of n and n'. Interactions between the nsJ=1 and the ndJ=1 Rydberg series have been ignored. The one-channel neon p and s series are also discussed and line strengths for transition between them presented. The line strengths for 3s to 3p and 4s to 4p transitions are in excellent agreement with the experimental and theoretical work of others. The results for 3s to 4p and 4s to 3p transitions are not in agreement with previous work and differ substantially with intermediate coupling theory.