Numerical perturbation methods are used to express trigonal stress splittings in terms of two phenomenological parameters, vₛ and vₛ^_^', for many levels of Cr³⁺, V²⁺, Ni²⁺ in MgO, and Cr³⁺ in ruby and emerald. Values of vₛ and vₛ^_^' for ruby and for Cr³⁺ and V²⁺ in MgO have been determined from published data. Point-charge calculations using Hartree-Fock free-ion radial wave functions give useful estimates of the stress-induced crystal-field parameters.
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R. M. Macfarlane (1967) studied this question.
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