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The spin Hamiltonian parameters (zero-field splitting and the anisotropic g factors) and the local structures for the trigonal Ni2+ centers in CsMgX3 (X=Cl, Br, I) are theoretically investigated from the perturbation formulas of these parameters for a 3d8 ion in trigonally distorted octahedra, by including the ligand s-orbital contributions. Based on the studies, the local impurity-ligand bond angles related to the C3 axis in the Ni2+ centers are found to be about 2 degrees larger than the corresponding angles, H, in the hosts, due to the size mismatching substitution of Mg2+ by Ni2+. The theoretical results based on the inclusion of the ligand s-orbital contributions show an improvement when compared with those in the absence of the above contributions, especially for the ligand I-.

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