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Algebraic solutions for the octahedral group: Group chain O⊃C4

✍ Scribed by Peng-Dong Fan; Jin-Quan Chen

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
522 KB
Volume
74
Category
Article
ISSN
0020-7608

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✦ Synopsis

Using double-induced representation and eigenfunction method, algebraic expressions are derived for irreducible matrices, projection operators, and symmetry-adapted functions in the group chain O > C for both single-valued and 4 double-valued representations. The simplicity of these expressions lies in the fact that Ž they are functions of the quantum numbers of the corresponding group chain the . analogy of j, m for the group chain SO > SO instead of the irreducible matrix 3 2

elements. The symmetries of the symmetry-adapted functions are disclosed.

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