Tables of functions transforming according to the irreducible representations of crystal point cubic T and Th groups
https://doi.org/10.26907/mrsej-19108
Abstract
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.
Keywords
crystal electrical fields,
cubic T and Th groups,
function of irreducible representations,
rare earth,
EPR,
inelastic neutron scattering spectra
Supporting agencies: This work was funded by the subsidy allocated to Kazan Federal University for the state assignment in the sphere of scientific activities (project 3.672.2017/8.9).
About the Author
A. M. Leushin
Kazan Federal University
Russian Federation
Russian Federation
Kremlevskaya 18, Kazan 420008
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Review
For citations:
Leushin A.M. Tables of functions transforming according to the irreducible representations of crystal point cubic T and Th groups. Magnetic Resonance in Solids. 2019;21(1):19108 (9 pp.). https://doi.org/10.26907/mrsej-19108
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