The theory of the spectra of first transition ion impurities in solids

Abstract

The theory of electric dipole transitions in ions situated in centrosymmetric and non-centrosymmetric environments is examined. The physical assumptions of one version of this theory are shown to be mathematically inconsistent and to lead to results, for a tetrahedral field, that disagree with experiment. Removal of this inconsistency leads to an interrelation between existing schemes. Further consideration of numerical examples, and the source of the errors involved, enables us to give a possible explanation of the reason why models assuming different odd-parity intermediate states give similar values for the calculated intensity.