Calculate Dislocation from Williamson-Hall Plot

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SUMMARY

The discussion focuses on calculating dislocation from the Williamson-Hall (WH) plot using High-Resolution X-Ray Diffraction (HRXRD) measurements. Participants emphasize the importance of plotting the Full Width at Half Maximum (FWHM) of rocking curves against Tan²(θ), where θ represents the Bragg angle. Additionally, it is crucial to account for various broadening factors such as instrument broadening, intrinsic FWHM, and sample curvature broadening to obtain accurate results.

PREREQUISITES
  • High-Resolution X-Ray Diffraction (HRXRD) measurement techniques
  • Understanding of Full Width at Half Maximum (FWHM)
  • Knowledge of Bragg's Law and Bragg angle (θ)
  • Familiarity with broadening effects in diffraction analysis
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  • Learn how to perform Williamson-Hall analysis in detail
  • Research methods to quantify instrument broadening in XRD
  • Study the effects of sample curvature on diffraction patterns
  • Explore advanced techniques for analyzing dislocation density
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Materials scientists, physicists, and engineers involved in crystallography and defect analysis, particularly those working with X-ray diffraction techniques.

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I would like to calculate the dislocation from the WH plot. I have HRXRD mesurement results with (004),(111) and (115) for omega and omega-2theta. Please someone guide me how to do?
 
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The williamson hall plot is rather simple to do.

Simply plot the FWHM of your rocking curves vs Tan^2(\theta)

Where theta is your bragg angle.




You are also going to have to subtract out some of the information that is burried with in the FWHM. This includes:Instrument broadening,Intrinsic FWHM, Sample Curvature broadening,etc.
 

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