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Convolution and deconvolutional treatment on sample transparency aberration in Bragg–Brentano geometry

Published online by Cambridge University Press:  02 May 2022

Takashi Ida Open the ORCID record for Takashi Ida [Opens in a new window]
Takashi Ida*
Affiliation:
Advanced Ceramics Research Center, Nagoya Institute of Technology, Tajimi, Japan
*
a)Author to whom correspondence should be addressed. Electronic mail: ida.takashi@nitech.ac.jp
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Abstract

Exact and approximate mathematical models for the effects of sample transparency on the powder diffraction intensity data are examined. Application of the formula based on the first-order approximation about the deviation angle is justified for realistic measurement and computing systems. The effects of sample transparency are expressed by double convolution formulas applying two different scale transforms, including three parameters, goniometer radius R, penetration depth μ−1, and thickness of the sample t. The deconvolutional treatment automatically recovers the lost intensity and corrects the peak shift and asymmetric deformation of peak profile caused by the sample transparency.

Keywords

sample transparencyBragg–Brentano geometryconvolutiondeconvolutional treatment
Type
Technical Article
Information
Powder Diffraction , Volume 37 , Issue 1 , March 2022 , pp. 13 - 21
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Copyright
Copyright © The Author(s), 2022. Published by Cambridge University Press on behalf of International Centre for Diffraction Data

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