Subgroup-chain symmetry-adapted irreducible matrices and CG coefficients of point groups
✍ Scribed by Jia-Lun Ping; Jin-Quan Chen
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 146 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0020-7608
No coin nor oath required. For personal study only.
✦ Synopsis
The irreducible matrices and Clebsch᎐Gordan coefficients of any crystallographic point group adapted to all possible canonical subgroup chains are calculated ab initio for both single-valued and double-valued representations and tabulated with y1 Ž . Ž .
' ' ' '
exact values in the form of prq exp i mrn or prq exp i cos mrn and with components labeled by the irrep labels of the group chain in Koster notation. The phases and ordering of the components of irreducible bases for the cubic point groups are properly chosen so that irreducible matrices for all subgroup chains of G s T , O, O d h
, and the complex ⌫ 5 Ž .
⌫ 6 Ž . U conjugation relation for the group T, D T s D T .