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A microscopic interpretation of the spin‐lattice coupling coefficients for S‐state 4f 7 ions
Author(s) -
Pastusiak W.
Publication year - 1983
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221160109
Subject(s) - lattice (music) , ion , condensed matter physics , physics , electron , simple cubic lattice , particle in a one dimensional lattice , empty lattice approximation , nearly free electron model , crystal structure , quantum mechanics , lattice field theory , chemistry , mathematics , crystallography , statistics , monte carlo method , gauge theory , acoustics
A previously reported model for spin–lattice coupling for 4f 7 electrons, based on the assumption that intraionic interactions are perturbed by relativistic interaction with crystal lattice, is developed. Analytical formula for second‐ and fourth‐order spin‐lattice coefficients are derived. Using these formula and the concept of the relativistic crystal field in the point charge approach the values of the spin‐lattice coefficients for Gd 3+ in CaF 2 are calculated. These values are in much better agreement with the experimental values than those calculated so far. To the best of our knowledge the fourth‐order spin–lattice coefficients are calculated the first time and their values are about ten times smaller than the experimental ones.