Algebraic solutions for point groups: Cubic groups G in the group chain G superset of T superset of D-2 superset of C-2

摘要

Concise algebraic expressions of the symmetry-adapted functions (SAFs) for both single-valued and double-valued representations are derived for the group chain O superset of T superset of D-2 superset of C-2 and O superset of D-4 superset of D-2 superset of C-2, which are functions of only the quantum numbers of the respective group chain without involving any irreducible matrix elements. It is shown that the SAFs of the cubic groups G = O, T-d, T-h, O-h can be expressed in a simple way in terms of the SAFs of the group T. (C) 2000 John Wiley & Sons, Inc. [References: 21]