PROPERTY TENSORS AND TENSORIAL COVARIANTS OF CLASSICAL POINT GROUPS -APPLICATIONS TO RAMAN EFFECTS OF HIGHER-ORDER AND OTHER PROBLEMS

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, th e 7 decagonal and the 5 continuous one-parametric classical point grou ps (Curie limiting point groups). The full results have been published as tables by the Fachinformationszentrum Karlsruhe. This paper review s the general method of calculation, which is based on representation theory using an extension of Neumann's principle. The results are comp ared critically with various compilations of special cases in the lite rature and a number of errors and inconsistencies are pointed out.