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Updated: Oct 11, 2025

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Characterization of Ultra-fine Grained and Nanocrystalline Materials Using Transmission Kikuchi Diffraction
Published on: April 1, 2017
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Implications of gnomonic distortion on electron backscatter diffraction and transmission Kikuchi diffraction.
Chris M Fancher1, Matthew J Burch2, Srikanth Patala2
1Material Science and Technology Directorate, Oak Ridge National Laboratory, Oak Ridge, Tennessee.
Journal of Microscopy
|December 7, 2021
Summary
Gnomonic distortion in electron diffraction patterns, particularly in transmission Kikuchi diffraction (TKD), improves sensitivity for detecting interband angle differences. Hough transform indexing further enhances this capability.
Area of Science:
- Materials Science
- Crystallography
- Electron Microscopy
Background:
- Electron backscatter diffraction (EBSD) and transmission Kikuchi diffraction (TKD) are crucial for materials characterization.
- Gnomonic distortion in diffraction patterns can affect orientation indexing accuracy.
- Understanding these distortions is key to improving analytical precision.
Purpose of the Study:
- To investigate the impact of gnomonic distortion on orientation indexing in EBSD and TKD.
- To evaluate the sensitivity of different analysis methods to these distortions.
- To determine how TKD geometry and Hough transform indexing influence distortion effects.
Main Methods:
- Simulated electron diffraction patterns for EBSD and TKD geometries.
- Analysis using a similarity index comparing Hough transformed data and simulated patterns.
- Assessment of sensitivity to subtle differences caused by gnomonic distortions.
Main Results:
- Increased gnomonic distortions in TKD geometry enhance sensitivity to interband angle variations.
- Hough transform-based indexing significantly boosts the sensitivity of orientation indexing.
- The study quantifies the influence of geometry on distortion effects.
Conclusions:
- TKD geometry, with its inherent gnomonic distortions, offers improved detection of subtle crystallographic variations.
- Combining TKD with Hough transform indexing provides a highly sensitive method for analyzing electron diffraction patterns.
- This approach enhances the precision of crystallographic orientation analysis.
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