Abstract
Making use of Racah's irreducible tensor operator technique a refined treatment for the 3 d-transition metal ions in crystals has been presented. The refined theory has been applied to analyse the recently observed fine optical spectra of MgF 2:Co 2+ and MgF 2:Mn 2+. Important differences have been noticed in the assignments of the optical lines obtained from the present analysis and from the conventional three-parameter theory. First numerical values of the exchange and Coulomb integrals in these systems have also been given.
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