Calculations of the spin-lattice coupling coefficients F-ij and Z(ij) for MgO : Co2+ crystal

According to a uniform and simple method of calculating spin-lattice coupli ng coefficients and the perturbation formulas of gi factors and hyperfine s tructure constants Ai based on the cluster approach for 3d(7) ions in Cubic , tetragonal and trigonal octahedral crystal fields, the spin-lattice coupl ing coefficients F-ij (F-11, F-12, F-44), Z(ij) (Z(11), Z(12), Z(44)) and a lso g factor and hyperfine constant A for MgO:Co2+ are calculated by using the parameters obtained from the optical spectra without adjustable paramet ers. The calculated results show good agreement with the observed values. T he difficulty in explaining the coefficients F-ij and Z(ij) is therefore re moved.