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On the Symmetry Groups of Non‐Rigid Impurity Centres in Crystals
Author(s) -
Kiselev A. A.,
Lüders K.
Publication year - 1979
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.2220930134
Subject(s) - impurity , point reflection , inversion (geology) , symmetry (geometry) , permutation (music) , permutation group , symmetry operation , symmetry group , group (periodic table) , molecular symmetry , group theory , molecule , translational symmetry , anisotropy , physics , condensed matter physics , mathematics , geometry , quantum mechanics , geology , paleontology , structural basin , acoustics
The conception of the permutation‐inversion symmetry group developed by Hougen and Longuet‐Higgins in the theory of non‐rigid molecules is applied to non‐rigid impurity centres in crystals, i.e. to impurity centres showing large‐amplitude motions of the nuclei. Examples of derivation of the symmetry groups for some molecular impurity centres are given and the transformations of the molecular coordinates induced by permutation‐inversion operations are discussed.