Generalized Spherical Harmonics for Cubic‐Triclinic Symmetry | Zendy

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Generalized Spherical Harmonics for Cubic‐Triclinic Symmetry

Author(s) -

Peter R. Morris

Publication year - 1995

Publication title -

texture stress and microstructure

Language(s) - English

Resource type - Journals

eISSN - 1687-5400

pISSN - 1687-5397

DOI - 10.1155/tsm.24.221

Subject(s) - triclinic crystal system , symmetry (geometry) , materials science , spherical harmonics , cubic crystal system , crystallography , condensed matter physics , geometry , mathematics , physics , mathematical analysis , crystal structure , chemistry

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 fororthorhombic (or higher) sample symmetry, and is illustrated, forT : .ι μ ν, ι = 4 , 9, μ = 1 , ν = 1 to 5. This representation facilitates crystallite orientation distribution (COD)analysis (aka ODF analysis) for thesesymmetries, using the Bunge formalism.

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