Microstructural parameters from X-ray peak profile analysis by Williamson-Hall models; A review

By B. Himabindu, N. Devi, Bhogoju Rajini Kanth. Materials Today: Proceedings, 2021

284 citations recorded by the source corpus.

Abstract The present study explored the analysis of microstructural parameters from XPPA (Xray Peak Profile Analysis) in the XRD (X-ray diffraction) pattern by Williamson-Hall (W-H) and modified Williamson- Hall (MW-H) models. W-H model is a Uniform Deformation Model (UDM), and MW-H models are the Uniform Stress Deformation Model (USDM) and the Uniform Deformation Energy Density Model (UDEDM). In these models, Williamson-Hall proposed that the intrinsic peak broadening is due to internal stress and the finite size of the coherent scattering region in the sample we considered. Here the importance of the individual contribution of microstructural parameters such as microstrain and average crystallite size for broadening of the peak in the XRD has been discussed. In the Scherrer method, the average crystallite size is calculated; in addition to this, W-H, MW-H methods analysed isotropic lattice strain from UDM, the anisotropic lattice stress from USDM, and energy density per unit volume from UDEDM calibrated from all reflection peaks of XRD. A similar analysis had been reported in the literature, such as Size Strain Plot (SSP), Halder-Wagner Langford (HWL), Warren- Averbach, Balzer, and Enzo methods. However, W-H and MW-H models are more simplified and standard due to the results depicted from these models are inter-related with the results of the Scherrer formula. It indicates that the lattice strain influences the size of crystallite. That appears to confirm the XRD pattern's intrinsic physical line broadening caused by microstructural parameters. This analysis highlights the importance of microstructural parameters in the XRD peak broadening.

Subfields: Materials Chemistry, Radiation, Surfaces, Coatings and Films

View Paper: https://www.semanticscholar.org/paper/d72d11b4d1a5bd63dde8d0242cf4e58b75261d99