Abstract
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.
Keywords
AnisotropyCartesian coordinate systemAzimuthSymmetry (geometry)Beam (structure)Spherical harmonicsRotation (mathematics)Absorption (acoustics)Transmission (telecommunications)OpticsComputational physicsIntensity (physics)HarmonicMathematical analysisMathematicsPhysicsGeometryComputer scienceQuantum mechanics
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Publication Info
- Year
- 1995
- Type
- article
- Volume
- 51
- Issue
- 1
- Pages
- 33-38
- Citations
- 7887
- Access
- Closed
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Cite This
R. H. Blessing
(1995).
An empirical correction for absorption anisotropy.
Acta Crystallographica Section A Foundations of Crystallography
, 51
(1)
, 33-38.
https://doi.org/10.1107/s0108767394005726
Identifiers
- DOI
- 10.1107/s0108767394005726