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The gyromagnetic factors for Nd3+ in scheelite-type ABO(4) compounds (A = Cd, Ca, Ph, Ba; B = Mo, W) are theoretically studied by the perturbation formulas of the anisotropic g factors g(parallel to) and g(perpendicular to) for a 43 ion in tetragonal symmetry. In these formulas, the contributions to the g factors due to the second-order perturbation terms and the admixtures of various energy levels are taken into account. The relevant crystal-field parameters are determined by the superposition model and the local geometrical relationship of the A(2+) sites occupied by the impurity Nd3+. The obtained g factors agree reasonably with the observed values. The discrepancies between theory and experiment are discussed.

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