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Simulating the diffraction line profile from nanocrystalline powders using a spherical harmonics expansion.

K R Beyerlein1, P Scardi2

  • 1Center for Free-Electron Laser Science, Max Planck Institute for the Structure and Dynamics of Matter, Luruper Chaussee 149, Hamburg, 22761, Germany.

Acta Crystallographica. Section A, Foundations and Advances
|November 1, 2018
PubMed
Summary

Spherical harmonics expansion accurately describes nanocrystalline powder diffraction line profiles. This computationally efficient method works for any crystallite size and shape, aiding materials analysis.

Keywords:
domain size broadeningline profile analysisnanocrystalline materialspowder diffraction

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Area of Science:

  • Materials Science
  • Crystallography
  • Computational Physics

Background:

  • Accurate characterization of nanocrystalline materials is crucial for understanding their properties.
  • Diffraction line profiles contain vital information about crystallite size, shape, and strain.
  • Existing methods for profile analysis can be computationally intensive or limited in scope.

Purpose of the Study:

  • To develop a computationally efficient method for describing diffraction line profiles in nanocrystalline powders.
  • To demonstrate the applicability of the method to various crystallite shapes and sizes.
  • To provide practical examples of diffraction pattern analysis using the proposed technique.

Main Methods:

  • Utilizing spherical harmonics expansion to model the diffraction line profile function.
  • Implementing a procedure for profile analysis that is computationally efficient.
  • Applying the method to model diffraction patterns from cubic crystallites ranging from 1 to 100 nm.

Main Results:

  • The spherical harmonics expansion provides an accurate description of diffraction line profiles.
  • The developed procedure is computationally efficient and broadly applicable.
  • Demonstrated successful application to nanocrystalline powders with varying crystallite characteristics.

Conclusions:

  • Spherical harmonics expansion is a powerful tool for analyzing nanocrystalline diffraction data.
  • The proposed method offers an efficient and versatile approach for materials characterization.
  • This technique facilitates a deeper understanding of structure-property relationships in nanomaterials.