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Profile Fitting by the Interference Function

Published online by Cambridge University Press:  06 March 2019

Luca Lutterotti
Affiliation:
Department of Materials Engineering, University of Trento 38050 Mesiano (TN), (Italy)
Paolo Scardi
Affiliation:
Department of Materials Engineering, University of Trento 38050 Mesiano (TN), (Italy)
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Abstract

On the basis of the “column-like” powder model of Warren and Averbach, a profile fitting procedure was devised to obtain microstructural disorder parameters. The interference function

where d is the interplanar distance, λ the wavelength, θ the diffraction angle and N the number of cells within a column, was used to model experimental profiles taking into account the column-like crystallite size and r.m.s. strain distributions. The procedure can be applied both to single peak and to two or more peaks of multiple order of reflection. The method was tested on several samples, also having a bimodal size distribution, and the results compared with those obtained by the well-established Warren-Averbach analysis.

Type
VIII. XRD Profile Fitting, Crystallite Size and Strain Determination
Copyright
Copyright © International Centre for Diffraction Data 1991

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