CUBIC FIELDS WITH TETRAGONAL AND TRIGONAL DISTORTIONS IN CRYSTAL FIELD THEORY OF TRANSITION METAL IONS

The most general effective Hamiltonians including spin-orbit coupling, crystal fields of lower symmetry and spin-spin coupling in various orders of perturbation theory are given for three symmetry groups. Spin tensor operators which transform as basis functions of these groups are also presented. From the effective Hamiltonians, energy matrices are derived for d1-d9 configurations in trigonally and tetragonally distorted tetrahedral and octahedral crystal fields, the eigenvalues of which give the fine structure energy levels observable in the optical spectra of transition metal ions in II-VI-compounds. The corresponding eigenfunctions, necessary to calculate the g-factors of these levels, are also included. © 1969.