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Property tensors and tensorial covariants of classical point groups . Applications to Raman effects of higher order and other problems
Author(s) -
Brandmüller J.,
Illig D.
Publication year - 1993
Publication title -
journal of raman spectroscopy
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.748
H-Index - 110
eISSN - 1097-4555
pISSN - 0377-0486
DOI - 10.1002/jrs.1250241204
Subject(s) - point group , homogeneous space , icosahedral symmetry , rank (graph theory) , representation (politics) , parametric statistics , pure mathematics , mathematics , representation theory , extension (predicate logic) , point (geometry) , theoretical physics , order (exchange) , curie temperature , property (philosophy) , raman spectroscopy , physics , condensed matter physics , quantum mechanics , geometry , combinatorics , computer science , ferromagnetism , philosophy , statistics , finance , epistemology , politics , political science , law , economics , programming language
Polar and axial tensorial covariants without intrinsic symmetries have been calculated using the method of representation theory up to rank 4 for the 32 crystallographic, the 5 pentagonal, the 2 icosahedral, the 7 decagonal and the 5 continuous one‐parametric classical point groups (Curie limiting point groups). The full results have been published as tables by the Fachinformationszentrum Karlsruhe. This paper reviews the general method of calculation, which is based on representation theory using an extension of Neumann's principle. The results are compared critically with various complications of special cases in the literature and a number of errors and inconsistencies are pointed out.