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 , 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.
Highlights
Derivation of series representations of the crystallite orientation distribution from pole-figure measurements was suggested by Bunge (1965) and Roe (1965)
The influence of cubic-crystal symmetry was considered by Bunge and Ehlert (1966), Roe (1966), and Esling et al (1981)
The superscript u is used to index functions with appropriate sample symmetry, and he states, "The index u will thereby enumerate in some sequence the linearly independent orthogonal solutions of this system of equations." He further assumes orthorhombic sample symmetry
Summary
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. This representation facilitates crystallite orientation distribution (COD) analysis (aka ODF analysis) for these symmetries, using the Bunge formalism
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
