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Permutation‐Inversion Group of Fullerite C 70 in the Intermediate Phase
Author(s) -
Smirnov V. P.,
Zubok D. A.
Publication year - 1998
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/(sici)1521-3951(199804)206:2<611::aid-pssb611>3.0.co;2-6
Subject(s) - permutation group , permutation (music) , inversion (geology) , irreducible representation , symmetry operation , point reflection , crystal (programming language) , molecule , group (periodic table) , symmetry group , symmetric group , crystal structure , symmetry (geometry) , combinatorics , physics , crystallography , mathematics , quantum mechanics , chemistry , condensed matter physics , geometry , computer science , paleontology , structural basin , acoustics , programming language , biology
The permutation‐inversion symmetry group of fullerite C 70 in the intermediate phase (at temperatures 270 K < T < 340 K) and the permutation‐inversion site symmetry group of a rotating molecule C 70 in a nonrigid crystal are generated. Their irreducible representations compatible with the principle of symmetry of wave functions with respect to the permutations of identical nuclei are found. Group‐theoretical classification of quantum‐mechanical states of a rotating molecule and a crystal in the intermediate phase of fullerite C 70 is made. The selection rules for electronic and IR spectra in terms of the irreducible representations of the permutation‐inversion group are found.