Dear friend Dimple Bishnoi

Yes, micro-strain and dislocation density can be calculated from XRD data files of natural fiber urea formaldehyde composites as well as inorganic, nano and metallic materials. The microstrain is defined as the root mean square of variations in the lattice parameters across the sample. The dislocation density is defined as the number of dislocations per unit volume (What is the best method to determine.....).

I couldn't find a research paper that matches your findings of δ=3.708807 and ε=4.384302. However, I found a research paper that discusses the calculation of microstrain and dislocation density from XRD data files (What is the best method to determine.........). You may find it helpful.

I hope this helps!

Source:

(1) What is the best method to determine crystallite size, microstrain and .... https://www.researchgate.net/post/What-is-the-best-method-to-determine-crystallite-size-microstrain-and-dislocation-density-from-XRD-data.

(2) Microstrain and dislocation density of perovskite films fabricated .... https://www.researchgate.net/figure/A-Microstrain-and-dislocation-density-of-perovskite-films-fabricated-on-top-of-ZnO_fig11_321311617.

(3) Approximation of crystallite size and microstrain via XRD line .... https://www.sciencedirect.com/science/article/abs/pii/S0042207X11003745.

(4) strain and dislocation density from XRD data - 14 - YouTube. https://www.youtube.com/watch?v=aWJ_m4Y0ZtE.

(5) X‐Ray Diffraction Microstrain Analysis for Extraction of Threading .... https://onlinelibrary.wiley.com/doi/10.1002/pssb.201900579.

Thanks @Kaushik shandilya you solved my big turble....

To get a sustainable solution to your problem, please refer to the preprint article given at link DOI: 10.13140/RG.2.2.27720.65287/3 or at link https://www.researchgate.net/publication/352830671.

To calculate the microstrain, you can use the Williamson-Hall equation, which relates the peak broadening to the microstrain:

β = β_0 + Kλ / Dcosθ

where:

β is the corrected full width at half maximum (FWHM) of the peak,

β_0 is the instrumental broadening,

K is a shape factor (typically assumed to be around 0.9),

λ is the X-ray wavelength,

D is the average crystallite size, and

θ is the Bragg angle.

By analyzing the XRD peaks and applying the Williamson-Hall equation, you can estimate the microstrain present in the material.

You can use following video for much better understanding: https://youtu.be/oUwJpGtwOVk

The dislocation density can be estimated using the Warren-Averbach analysis, which relates the peak broadening to the dislocation density:

β = 4λ / (D * cosθ) * √(π * ρ)

where: β is the corrected FWHM of the peak, λ is the X-ray wavelength, D is the average crystallite size, θ is the Bragg angle, and ρ is the dislocation density.

By performing the Warren-Averbach analysis on the XRD data, you can obtain an estimation of the dislocation density in the material.

Hi dimple...

sorry for the late response...in the mean time many have answered your query...now the point is, when you saying microstrain and dislocation, it must be crystalline fiber, as it is, right? If not, then check for the peak shift or broadening of specific one, XRD data, i mean, like using shrerer equation for strain/broadening...