From a uniform and simple method suitable to all d(n) ions for the calculation of the spin-lattice coupling coefficients G11 and G44 for d7 ions in this symmetry have been obtained from the high-order perturbation formulae of zero-field splitting in low symmetries based on the weak-field approximation. By using these expressions, the coefficients G11 and G44 for Co2+ ion in ZnS crystal have been calculated and the signs of these coefficients are also given. The absolute values of the calculated results show good agreement with the observed values and the signs of these coefficients remain to be verified experimentally.
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