EPR g factors of trigonal Dy3+ center in ThO2 crystal

Abstract

The perturbation formulas of EPR g factors g‖ and g⊥ for the lowest Kramers doublet of 6H15/2 of a 4f9 ion in trigonal symmetry are established in this paper. In these formulas, besides the contribution due to the interaction within the lowest 6H15/2 manifolds considered in the previous papers, the contributions due to the J-mixing among the 6H15/2, 6H13/2 (first excited state) and 6H11/2 (second excited state) via crystal-field interaction, the admixtures among the states with the same J value via spin-orbit coupling interaction and those between the lowest Kramers doublet Γγ and other Kramers doublets ΓX within the states 6HJ (J=15/2,13/2,11/2) via crystal-field and orbital angular momentum interactions are included. From these formulas, the g factors g‖ and g⊥ for the trigonal Dy3+ center in ThO2 crystal are calculated. The results are discussed.