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Spin‐Hamiltonian parameters for Dy 3+ ion at the trigonal 12‐fold coordinated La 3+ site of La 2 Mg 3 (NO 3 ) 12 ·24H 2 O
Author(s) -
Yang WeiQing,
Zheng WenChen,
Liu HongGang
Publication year - 2010
Publication title -
crystal research and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.377
H-Index - 64
eISSN - 1521-4079
pISSN - 0232-1300
DOI - 10.1002/crat.201000231
Subject(s) - hyperfine structure , zeeman effect , chemistry , trigonal crystal system , multiplet , hamiltonian (control theory) , ion , excited state , atomic physics , crystallography , crystal structure , physics , magnetic field , quantum mechanics , spectral line , mathematical optimization , mathematics , organic chemistry
Abstract 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 161 Dy 3+ isotopes in the trigonal 12‐fold coordinated La 3+ site of La 2 Mg 3 (NO 3 ) 12 ·24H 2 O 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 6 H 15/2 and the first to fifth excited multiplets 6 H 13/2 , 6 H 11/2 , 6 H 9/2 , 6 H 7/2 and 6 H 5/2 are applied. The calculated results are discussed. (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)