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Mössbauer Spectra in the Presence of Electron Spin Relaxation (II)
Author(s) -
Gabriel H.,
Bosse J.,
Rander K.
Publication year - 1968
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.19680270132
Subject(s) - formalism (music) , hamiltonian (control theory) , electron , ion , spectral line , mössbauer spectroscopy , relaxation (psychology) , lattice (music) , condensed matter physics , spin–lattice relaxation , quantum mechanics , rate equation , statistical physics , physics , chemistry , atomic physics , materials science , mathematics , kinetics , crystallography , art , musical , mathematical optimization , social psychology , psychology , paramagnetism , acoustics , visual arts
Basing on the simple model of spin‐lattice relaxation used by Afanasev and Kagan [3], we have investigated the modifications of the Mössbauer line shape due to relaxation effects. Utilizing Zwanzig's formalism as in I, we eliminate the bath (lattice) variables and retain only the Hamiltonian for the entire Mössbauer ion in the final formal expressions for the line shape. The essential difference compared to I is that in the present paper the electronic shell of the respective nucleus is included in the quantum mechanical subsystem. Therefore this theory is applicable to all relaxation rates. This has already been pointed out in [3] and is elucidated here by making evident that all results found by the solution of rate equations or by stochastic model treatments are special cases of the present theory.