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Circular Hough transform diffraction analysis: a software tool for automated measurement of selected area electron

D R G Mitchell1

  • 1Institute of Materials and Engineering Science, ANSTO, PMB 1, Menai, NSW 2234, Australia. drm@ansto.gov.au

Ultramicroscopy
|July 24, 2007
PubMed
Summary

A new software tool uses the circular Hough transform (CHT) for automated analysis of selected area electron diffraction patterns (SADPs). This method accurately determines diffraction centers and ring radii, enabling precise d-spacing measurements for polycrystalline materials.

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Area of Science:

  • Materials Science
  • Crystallography
  • Computational Science

Background:

  • Selected Area Electron Diffraction Patterns (SADPs) are crucial for analyzing polycrystalline materials.
  • Accurate determination of diffraction pattern centers and ring radii is essential for precise crystallographic analysis.
  • Manual analysis of SADPs can be time-consuming and prone to inaccuracies.

Purpose of the Study:

  • To develop a software tool for automated analysis of SADPs using the circular Hough transform (CHT).
  • To achieve sub-pixel accuracy in determining diffraction pattern centers and ring radii.
  • To enable accurate d-spacing measurements for polycrystalline materials with minimal user interaction.

Main Methods:

  • Development of a software tool (script and plugin) for Digital Micrograph implementing the CHT.
  • Application of CHT for automated detection of diffraction pattern centers and measurement of ring radii.
  • Calibration of patterns against known camera length for d-spacing determination.

Main Results:

  • The CHT tool achieves sub-pixel accuracy in determining diffraction pattern centers and ring radii, independent of beam conditions or beam stops.
  • d-spacings can be obtained with an accuracy better than 1% after calibration.
  • The software processes patterns rapidly (e.g., a 1k x 1k image in minutes) and is robust even with incomplete diffraction rings.

Conclusions:

  • The developed CHT software tool provides an automated, accurate, and efficient method for analyzing SADPs of polycrystalline materials.
  • The tool offers high precision in determining crystallographic parameters, requiring minimal user input.
  • This freely downloadable software facilitates advanced materials analysis.