The spin-orbit interaction in dn complexes is discussed using the tensor operator methods of Tanabe & Kamimura, and some of their tables of transformation coefficients are extended. The complete spin-orbit matrices for the d3, d7 configurations are given in a strong cubic field scheme. Using these matrices and probable values of parameters, we have calculated energy levels for trivalent chromium in magnesium oxide and for potassium hexachloromolybdate and iridium hexafluoride.
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Runciman et al. (1962) studied this question.
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