1. Coherency effects in nanobeam x-ray diffraction analysis
- Author
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Hanfei Yan, Özgür Kalenci, I. Cevdet Noyan, and Jörg Maser
- Subjects
Diffraction ,Physics ,Scattering ,business.industry ,Uniform theory of diffraction ,Physics::Optics ,General Physics and Astronomy ,Fraunhofer diffraction ,symbols.namesake ,Reciprocal lattice ,Optics ,Angular aperture ,symbols ,Fresnel number ,business ,Fresnel diffraction - Abstract
We describe the evolution of the x-ray scattering pattern which forms on an area detector when a divergent, coherent nanobeam is diffracted from a perfect or weakly deformed single crystal. We show that the scattering can be considered as virtual diffraction from an angular aperture in reciprocal space; this is analogous to pinhole diffraction in real space. We define an angular Fresnel number, YA, which allows the categorization of the nanodiffraction image into near-field, intermediate-field, and far-field regimes. We provide equations for YA in simple geometries and show that dynamical scattering artifacts are eliminated through wave interference in the far-field image; this is the only regime where direct analysis of the charge coupled device image using geometrical formulae to transform distances to diffraction angles is possible.
- Published
- 2008
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