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• W2024314288 abstract "The significant problem with using point groups is the dependence upon extensively tabulated results. We present simple algebraic expressions for the primitive characters, matrix irreps, symmetry adapted functions (SAFs), and Clebsch–Gordan coefficients for all dihedral groups, Dn, Cnv, Dnd, and Dnh. Those results, for arbitrary n and for single- and double-valued representations, have been derived in a simple manner without using group tables. Previously incomplete tabulated results are now redundant. In particular the parity dependence of the SAFs of the improper dihedral groups is shown analytically. Simple relations are derived between the SAFs of the proper and improper dihedral groups, so that the SAFs of the latter can be easily obtained from the SAFs of Dn." @default.
• W2024314288 created "2016-06-24" @default.
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• W2024314288 date "2000-12-01" @default.
• W2024314288 modified "2023-09-26" @default.
• W2024314288 title "Algebraic solutions for all dihedral groups" @default.
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• W2024314288 doi "https://doi.org/10.1063/1.1286513" @default.
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