Clebsch–Gordan coefficients for space groups
- 1 April 1979
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 20 (4) , 671-678
- https://doi.org/10.1063/1.524109
Abstract
A general method for finding Clebsch–Gordan coefficients is used to calculate them for nonsymmorphic space groups. This method is based on the fact that the columns of the Clebsch–Gordan matrices can be seen as G‐adapted vectors and that the multiplicity index can be traced back to special column indices of the Kronecker product. Using this method we obtain simple defining equations for the multiplicity index and for nearly all cases without reference to a special space group by a simple calculation the corresponding Clebsch–Gordan matrices.Keywords
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