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Three-beam diffraction in an elastically strained crystal plate.

Helge B Larsen1, Gunnar Thorkildsen, Edgar Weckert

  • 1Department of Materials Science, University of Stavanger, N-4068 Stavanger, Norway. helge.b.larsen@tn.his.no

Acta Crystallographica. Section A, Foundations of Crystallography
|December 23, 2004
PubMed
Summary

Elastic strain in crystal plates significantly impacts three-beam diffraction profiles. Increasing strain obscures and ultimately eliminates phase information within these profiles, according to analytical derivations and simulations.

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Area of Science:

  • Solid State Physics
  • Crystallography
  • Materials Science

Background:

  • X-ray diffraction is a key technique for analyzing crystal structures.
  • Understanding diffraction profiles in strained crystals is crucial for materials characterization.
  • The Takagi-Taupin equations provide a framework for dynamical diffraction theory.

Purpose of the Study:

  • To derive an analytical expression for the three-beam diffraction profile function in elastically strained crystal plates.
  • To investigate the influence of strain parameters on the diffraction profile.
  • To determine how strain affects phase information in three-beam diffraction.

Main Methods:

  • Utilized the Takagi-Taupin equations for dynamical diffraction.
  • Derived an analytical expression for the three-beam diffraction profile function.

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  • Performed simulations to analyze the impact of strain parameters.

    • Main Results:

    • Strain parameters were found to influence both triplet-phase dependent and independent terms in the solution.
    • Simulations demonstrated a significant influence of three-beam profiles due to strain.
    • Increasing strain levels led to the obscuring and eventual loss of phase information.

    Conclusions:

    • The derived analytical expression accurately describes three-beam diffraction in strained crystals.
    • Elastic strain fundamentally alters the nature of three-beam diffraction profiles.
    • Phase information in three-beam diffraction is highly sensitive to crystal strain.