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Williamson–Hall analysis is a simplified integral breadth method employed for estimating crystal, crystallite size and lattice strain, considering the peak width as a function of 2θ [39].
Microstructural parameters like domain size and microstrain were studied in detail using the X-ray diffraction (XRD) technique with the simplified breadth method and Williamson–Hall analysis.
Williamson–Hall analysis is a simplified integral breadth method employed for estimating crystal, crystallite size and lattice strain, considering the peak width as a function of 2θ (Sundeep et al. 2016).
Williamson-Hall (W-H) analysis is a simplified integral breadth method where both size-induced and strain-induced broadening are deconvoluted by considering the peak width as a function of 2[14].
However, the Williamson–Hall (W H) analysis is a simplified integral breadth method employed for estimating crystallite size and lattice strain, considering the peak width as a function of 2θ [15].
The domain size, microstrain within the domain, dislocation density and the stacking fault probabilities have been estimated by the Simplified Breadth Method, Williamson–Hall technique and the Modified Rietveld Method.
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Most researchers use the simplified integral-breadth method, which assumes either a Gaussian of Lorentzian function for a size- and/or strain-broadened profile, but it is widely accepted today that the double-Voigt approach, that is a Voigt-function approximation for both size-broadened and strain-broadened profile, is a better model than the simplified integral-breadth method [19].
Although the double-Voigt method is the most superior of all the analysis methods mentioned above, a combination of a simplified integral-breadth method together with independent microscopy measurements such as SEM and/or TEM are widely accepted.
The breadth first method of tree construction uses a queue.
It is computationally faster to use the breadth first method for large data on a GPU.
The study thus expands the breadth of methods used in investigating place attachment.
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