Texture, Stress, and Microstructure

Texture, Stress, and Microstructure / 1997 / Article

Open Access

Volume 29 |Article ID 710934 | https://doi.org/10.1155/TSM.29.235

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

Received30 Mar 1995

Abstract

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 Tiμυ, 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.

Copyright © 1997 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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