Spin-Hamiltonian parameters for Dy~(3+) ion at the trigonal 12-fold coordinated La~(3+) site of La_2Mg_3(NO _3)_(12)24H_2O

摘要

The spin-Hamiltonian parameters (g factors g∥, g⊥ and hyperfine structure constants ~(161)A∥, ~(161)A⊥, ~(163)A∥, ~(163)A⊥) for ~(161)Dy~(3+) and ~(163)Dy~(3+) isotopes in the trigonal 12-fold coordinated La~(3+) site of La_2Mg_3(NO_3) _(12)24H_2O crystal are calculated from a diagonalization (of energy matrix) method. In the method, the Zeeman and hyperfine interaction terms are added to the conventional Hamiltonian used in the studies of crystal-field energy levels, and a 66×66 energy matrix concerning the ground multiplet ~6H_(15/2) and the first to fifth excited multiplets ~6H_(13/2), ~6H_(11/2), ~6H _(9/2), ~6H_(7/2) and ~6H_(5/2) are applied. The calculated results are discussed.