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 T:.ιμν, ι=4, 9, μ=1, ν=1 to 5. This representation facilitates crystallite orientation distribution (COD)analysis (aka ODF analysis) for these symmetries, using the Bunge formalism.