Peter R. Morris, "Generalized Spherical Harmonics for Cubic-Triclinic Symmetry", Texture, Stress, and Microstructure, vol. 29, Article ID 710934, 5 pages, 1997. https://doi.org/10.1155/TSM.29.235
Generalized Spherical Harmonics for Cubic-Triclinic Symmetry
An explicit representation is suggested for orthogonal generalized spherical harmonics with cubic-crystal and triclinic-sample symmetries. The representation employs sums and differences of orthogonal generalized spherical harmonics with cubic-crystal symmetry, previously described by Bunge for orthorhombic (or higher) sample symmetry, and is illustrated, for , i = 4, 9, μ = 1, υ = 1 to 5. This representation facilitates crystallite orientation distribution (COD) analysis (aka ODF analysis) for these symmetries, using the Bunge formalism.
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