How to Use the Scherrer Equation for Crystallite Size Estimation (XRD Tutorial)
Learn exactly how to translate your raw XRD data into a concrete crystallite size measurement using the Scherrer Equation.
If you are working with nanoparticles or crystalline materials, understanding crystallite size is crucial. This video breaks down the process of analyzing X-Ray Diffraction (XRD) peak broadening to calculate the average size of coherently scattering domains.
We move beyond the theory and show you the practical steps needed to perform the calculation yourself, just like the workflow shown in the thumbnail.
📘 Topics Covered in This Tutorial:
The Difference: Crystallite Size vs. Grain Size vs. Particle Size.
The Data: How to read an XRD diffractogram for size analysis.
The Key Concept: What is Peak Broadening and Full Width at Half Maximum (FWHM or L)?
The Tool: A deep dive into the Scherrer Equation: 𝐷=𝐾𝜆/(𝐿 cos𝜃 )
The Variables:
Choosing the correct Shape Factor (K).
Knowing your X-ray Wavelength (𝜆).
How to correctly calculate cos𝜃.
Crucial Step: Converting FWHM from degrees to radians.
Walkthrough Example: A complete calculation using real data values.
This video is perfect for:
Undergraduate and graduate students in Material Science, Chemistry, Physics, and engineering, as well as researchers needing a refresher on XRD data analysis techniques.