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The use of irreducible operators for determining the complete set of linearly independent crystal field parameters
Author(s) -
Soliverez Carlos E.
Publication year - 1973
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560070609
Subject(s) - tensor operator , tensor (intrinsic definition) , trace (psycholinguistics) , set (abstract data type) , field (mathematics) , crystal (programming language) , symmetry (geometry) , extension (predicate logic) , mathematics , spherical harmonics , pure mathematics , core (optical fiber) , mathematical analysis , physics , geometry , computer science , optics , linguistics , philosophy , programming language
A general method is given for finding the complete set of linearly independent crystal field parameters from symmetry arguments. No recourse is made to expansions of the crystal field in terms of spherical harmonics. The core of the method lies in an extension of the known zero‐trace property of tensor operators, to the case of irreducible operators.