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An All-in-one Sample Holder for Macromolecular X-ray Crystallography with Minimal Background Scattering
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Multiple Bragg reflection by a thick mosaic crystal.

Joachim Wuttke1

  • 1Forschungszentrum Jülich GmbH, Jülich Centre for Neutron Science at MLZ, Lichtenbergstrasse 1, D-85747 Garching, Germany.

Acta Crystallographica. Section A, Foundations and Advances
|September 2, 2014
PubMed
Summary
This summary is machine-generated.

This study analyzes Bragg reflections in imperfect crystals, finding multiple reflections slightly alter intensity but significantly change angular distributions and rocking curves.

Keywords:
imperfect crystalmultiple Bragg reflection

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Area of Science:

  • Solid-state physics
  • Crystallography
  • X-ray diffraction

Background:

  • Bragg-case reflections are fundamental in understanding crystal structures.
  • Previous models often assumed perfect crystals or limited dimensionality.
  • Imperfect crystals exhibit complex scattering phenomena.

Purpose of the Study:

  • To investigate symmetric Bragg-case reflections in thick, imperfect crystal slabs.
  • To generalize the Darwin-Hamilton equations beyond a 2D scattering plane.
  • To analyze the impact of multiple Bragg reflections on scattering characteristics.

Main Methods:

  • Analytical methods, including derivation of the scattering transfer function for mosaic layers.
  • Generalization of Darwin-Hamilton equations to include wavevector diffusion.
  • Multireflection expansion and Monte Carlo simulations.

Main Results:

  • A scattering transfer function suitable for analytical approximations was derived.
  • Wavevector diffusion was shown to be independent of real-space coordinates.
  • Multiple reflections caused minor intensity changes, moderate azimuthal broadening, significant polar angle modification, and distorted rocking curves.

Conclusions:

  • The study provides a more comprehensive analytical framework for imperfect crystal diffraction.
  • Multiple reflections significantly influence the angular characteristics of scattered X-rays.
  • The findings are crucial for accurate interpretation of diffraction data from real crystalline materials.