mriselMagnetic Resonance in SolidsMagnetic Resonance in Solids2072-5981Kazan Federal University10.26907/mrsej-19108mrisel-44Research ArticleСтатьиTables of functions transforming according to the irreducible representations of crystal point cubic T and Th groupsLeushinA. M.

Kremlevskaya 18, Kazan 420008

amleushin@gmail.comKazan Federal UniversityRussian Federation20191503201921119108 (9 pp.)Copyright © Leushin A.M., 20242024Leushin A.M.Leushin A.M.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.mrsej.ru/jour/article/view/44

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 DS of the full rotation group on the subspaces of IR of T, T' and Th, T'h 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 Th group symmetry.

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The authors declare that there are no conflicts of interest present.