Based on crystal- and ligand-field theory, double-spin-orbital coupling approach was used to analyze the crystal-field energy levels and spin-Hamiltonian parameters of Ni^{2+} ion at trigonal site in CdBr_2. The local lattice distortion (Δ R and τ_{Ni^{2+}}) is estimated from the crystal field parameters; the crystal field energy Hamiltonian was diagonalized in the full basis consisting of 45 wave functions of the Ni^{2+} ion. Results of calculations are in good agreement with experimental data. The reasonableness of the theoretical results is discussed.
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