Tables of functions transforming according to the irreducible representations of crystal point cubic T and T <inf>h</inf> groups

Abstract

© Kazan Federal University (KFU). The functions transforming according to the nonequivalent irreducible representations (IR) γ' 2 , γ' 3 and γ' 6 , γ' 7 have been found using the projection operators of the IR D S of the full rotation group on the subspaces of IR of T, T’ and Th, Th’ cubic groups. With allowance for the properties with respect to the operation of the time reversal sign, the functions are combined into representations γ' 23 and γ' 67 , respectively, of twice the larger dimension. Along with the functions transforming according to all other IRs γ 1 ', γ' 4 and γ' 5 presented earlier, they will facilitate the consideration of various kinds of effects due to the energy level splitting of rare-earth ions in the crystal electric fields of T, and T h group symmetry.