Acta Crystallographica Section A Foundations of Crystallography · 1995 · 7.9K citations · 2 references
Natural SciencesMaterials ScienceMaterials CharacterizationOpticsSpectroscopyAbsorption SpectroscopyAnisotropic MaterialsAnisotropy AnalysisOptical Properties Of SolidsPhysical OpticsScattering TheoryAnisotropic AbsorptionAnisotropic ScatteringAnisotropy Parameter EstimationCrystal AxesOptical Properties EstimationSpherical Harmonic AnalysisSymmetry-equivalent Directions
A least-squares procedure is described for modeling an empirical transmission surface as sampled by multiple symmetry-equivalent and/or azimuth rotation-equivalent intensity measurements. The fitting functions are sums of real spherical harmonic functions of even order, ylm(-u0) + ylm(u1), 2 < or = l = 2n < or = 8. The arguments of the functions are the components of unit direction vectors, -u0 for the reverse incident beam and u1 for the scattered beam, referred to crystal-fixed Cartesian axes. The procedure has been checked by calculations against standard absorption test data.
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<i>International Tables for X-ray Crystallography</i>
Acta Crystallographica Section B · 1976 · 14.2K citations · Full text