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Diagonalization of the action matrix and determination of the invariant tensor
Ephra[iuml ]m, M., Janssen, T., Janner, A. and Thiers, A., International Tables for Crystallography (2013). Vol. D, Section 1.2.7.4.3, p. [ doi:10.1107/97809553602060000901 ]
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Overview
Ephra[iuml ]m, M., Janssen, T., Janner, A. and Thiers, A., International Tables for Crystallography (2013). Vol. D, Section 1.2.7.1, p. [ doi:10.1107/97809553602060000901 ]
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Tensors
Ephra[iuml ]m, M., Janssen, T., Janner, A. and Thiers, A., International Tables for Crystallography (2013). Vol. D, Section 1.2.7.2, p. [ doi:10.1107/97809553602060000901 ]
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Invariant tensors
Ephra[iuml ]m, M., Janssen, T., Janner, A. and Thiers, A., International Tables for Crystallography (2013). Vol. D, Section 1.2.7.4.6, p. [ doi:10.1107/97809553602060000901 ]
indices are equal (permutation tensor, see Section 1.1.3.7.2). Example (8).  Calculation with characters. See Table 1.2.7.2 . Table 1.2.7.2 | top | pdf | Calculation with characters ...

Construction of a basis
Ephra[iuml ]m, M., Janssen, T., Janner, A. and Thiers, A., International Tables for Crystallography (2013). Vol. D, Section 1.2.7.4.1, p. [ doi:10.1107/97809553602060000901 ]
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Characters
Ephra[iuml ]m, M., Janssen, T., Janner, A. and Thiers, A., International Tables for Crystallography (2013). Vol. D, Section 1.2.7.3, p. [ doi:10.1107/97809553602060000901 ]
As an example, the generalized character table for the three-dimensional point group is given in Table 1.2.7.1 . Table 1.2.7.1 | top | pdf | Data connected with the character table for point group ...

Action of the generators of the point group G on the basis
Ephra[iuml ]m, M., Janssen, T., Janner, A. and Thiers, A., International Tables for Crystallography (2013). Vol. D, Section 1.2.7.4.2, p. [ doi:10.1107/97809553602060000901 ]
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Determination of tensor products and their decomposition
Ephra[iuml ]m, M., Janssen, T., Janner, A. and Thiers, A., International Tables for Crystallography (2013). Vol. D, Section 1.2.7.4.5, p. [ doi:10.1107/97809553602060000901 ]
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Determination of the vector representation
Ephra[iuml ]m, M., Janssen, T., Janner, A. and Thiers, A., International Tables for Crystallography (2013). Vol. D, Section 1.2.7.4.4, p. [ doi:10.1107/97809553602060000901 ]
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Introduction to the accompanying software TenĪ‡ar
Ephra[iuml ]m, M., Janssen, T., Janner, A. and Thiers, A., International Tables for Crystallography (2013). Vol. D, Section 1.2.7, p. [ doi:10.1107/97809553602060000901 ]
Representations of crystallographic groups 1.2.7.1. Overview | top | pdf | The determination of tensors with specified properties often requires long calculations. In principle the algorithms are simple, but in complicated ...

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