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The multimode Jahn‐Teller coupling for an orbital triplet in cubic crystals
Author(s) -
Biernacki S. W.
Publication year - 1977
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.2220840235
Subject(s) - jahn–teller effect , condensed matter physics , phonon , lattice (music) , physics , angular momentum , debye , cubic crystal system , crystal (programming language) , impurity , ground state , ion , molecular physics , chemistry , atomic physics , quantum mechanics , computer science , acoustics , programming language
An investigation is made of the properties of an iron group ion which has an orbital triplet ground state and which interacts with the lattice vibrations of its nearest neighbours. The interaction with e‐type vibrations is considered only. For the phonon spectrum of the host crystal the Debye and Einstein approximations are used. Explicit formulae are obtained for the Jahn‐Teller energy, the displacements of the neighbours nearest to an impurity, and for the first‐order reduction factor of orbital angular momentum in terms of the phonon spectrum parameters. All cubic coordinations are considered: fourfold, sixfold, and eightfold.