Point group symmetries and Gaussian integration (Q1331433)
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scientific article; zbMATH DE number 622260
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Point group symmetries and Gaussian integration |
scientific article; zbMATH DE number 622260 |
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Point group symmetries and Gaussian integration (English)
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16 March 1995
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The authors show how the coefficients for the symmetrized lattice harmonic functions that are used in solid state physics can be computed from sums of integrals of polynomials. They then use Gaussian integration rules to determine exact values for the polynomial integrals. The result is approximately five pages of tables of exact lattice harmonics formulas for the 32 crystallographic point groups in three dimensions.
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symmetrized lattice harmonic function
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Gaussian integration
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polynomial integrals
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lattice harmonics formulas
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crystallographic point groups
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