What is micro-strain ?
How does it calculate in X-ray Diffraction analysis?
hi there
You can calculate it using highscore plus software or Origin software, try checking Youtube tutorials
check this one for example
https://youtu.be/diPju39ZQY8?si=Tu7OIcS7xTu7wef_
best of luck
Hello friend
I can't give the exact definition of micro-strain. However, I can tell you the steps to calculate it from X-ray analysis.
The processed materials may have some structural defects. Due to this defect, the lattice point may shift from its ideal position. Such shifting of lattice or the deformation of the lattice may be the micro-strain. (Let's hope for a better definition).
From X-ray analysis, you can find the micro-strain by using the ''Williamson-Hall Plot''.
Data required for this:
1. Theta(θ) values in terms of radians.
2. Full width at half maxima (β) in terms of radian.
If you have this data use the equation:
βhkl cosθ = 4ϵsinθ+Kλ/D, where ϵ and D represent the micro-strain and crystallite size respectively.
Plot βhkl cosθ y-axis and 4sinθ along the x-axis, you will get a straight line.
Find the slope of the line it will give the micro-strain.
In case you did not find a straight line perform linear fitting of the curve and find the slope.
once go through Nano world youtube channel for better understanding to draw and analysis sir.
See types of stress figure at Chapter Raman Measurements of Stress in Films and Coatings
(attached)Type II and III are microstress or microstrain. Microstrain is sometimes indicated as
microstrain = 1/2 = RMS strain
Micro-strain are defined as the density of deffects in the crystal that makes some differences between form and intensity of the diffration peaks related to a perfect crystal of the sample.
microstrain is the degree of distortion present in the crystalline lattice. Both crystallite size and microstrain in the crystal lattice affect the broadening of the X-ray diffraction lines. This line broadening can be used to measure both crystallite size and microstrain.
The Williamson - Hall method using XRD patterns can be utilized to calculate the micro strain (ε) and crystallite size (D) that result in broadening of the diffraction peaks in the XRD patterns.