Abstract
The matrix elements A of spin-orbit interaction (SOI) for the ground level 4I15/2 of Er3+ in crystals have been calculated and found compatible in magnitude with the difference to the first excited level 4I13/2. The dependence of the ratios A(cr)/A(fr), where cr and fr denote ion in crystal and free ion, respectively, on the scalar crystal field parameter Nv has revealed an effect similar to the nephelauxetic effect relative to the normalized limit of the free ion value. The variations with Nv of the maximum splitting of the ground level and the spin-orbit coupling constant for Er3+-containing crystals have been discussed. The examples comprise about 50 stoichiometric or doped halogenides, simple and complex oxides, oxohalides, complexes with organic ligands, and semiconductors, some of which include different site symmetries of Er3+ in a crystal.
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