Hostname: page-component-848d4c4894-m9kch Total loading time: 0 Render date: 2024-04-30T19:17:00.769Z Has data issue: false hasContentIssue false

Equatorial aberration for powder diffraction data collected by continuous-scan integration of a silicon strip X-ray detector

Published online by Cambridge University Press:  07 September 2021

Takashi Ida*
Affiliation:
Advanced Ceramics Research Center, Nagoya Institute of Technology, Nagoya, Japan
*
a)Author to whom correspondence should be addressed. Electronic mail: ida.takashi@nitech.ac.jp

Abstract

The application of continuous-scan integration to collect X-ray diffraction data with a Si strip X-ray detector (CSI-SSXD) introduces additional effects on the peak shift and deformation of peak shape caused by the equatorial aberration. A deconvolutional method to correct the effects of equatorial aberration in CSI-SSXD data is proposed in this study. There are four critical angles related to the effects of spillover of the incident X-ray beam from the specimen face in the CSI-SSXD data. Exact values of cumulants of the equatorial aberration function are efficiently evaluated by 4 × 4 point two-dimensional Gauss–Legendre integral. A naïve two-step deconvolutional method has been applied to remove the effects of the first and third-order cumulants of the equatorial aberration function from the observed CSI-SSXD data. The performance of the algorithm has been tested by analyses of CSI-SSXD data of three LaB6 powder specimens with the widths of 20, 10, and 5 mm, collected with a diffractometer with the goniometer radius of 150 mm.

Type
Proceedings Paper
Copyright
Copyright © The Author(s), 2021. Published by Cambridge University Press on behalf of International Centre for Diffraction Data

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Alexander, L., Klug, H. P., and Kummer, E. (1948). “Statistical factors affecting the intensity of X-rays diffracted by crystalline powders,” J. Appl. Phys. 19, 742753. doi:10.1107/S0021889801007877.CrossRefGoogle Scholar
Cheary, R. W. and Coelho, A. (1992). “A fundamental parameters approach to X-ray line-profile fitting,” J. Appl. Crystallogr. 25, 109121. doi:10.1107/S0021889891010804.CrossRefGoogle Scholar
Cheary, R. W. and Coelho, A. (1994). “Synthesizing and fitting linear position-sensitive detector step-scanned line profiles,” J. Appl. Crystallogr. 27, 673681. doi:10.1107/S0021889893014165.CrossRefGoogle Scholar
De Wolff, P. M. (1959). “Particle statistics in X-ray diffractometry,” Appl. Sci. Res. B 7, 102112. doi:10.1007/BF02921902.CrossRefGoogle Scholar
Ida, T. (2020). “Equatorial aberration of powder diffraction data collected with an Si strip X-ray detector by a continuous-scan integration method,” J. Appl. Crystallogr. 53, 679685. doi:10.1107/S1600576720005130.CrossRefGoogle Scholar
Ida, T. and Hibino, H. (2006). “Symmetrization of diffraction peak profiles measured with a high-resolution synchrotron X-ray powder diffractometer,” J. Appl. Crystallogr. 39, 90100. doi:10.1107/S0021889805040318.CrossRefGoogle Scholar
Ida, T., Ono, S., Hattan, D., Yoshida, T., Takatsu, Y., and Nomura, K. (2018). “Improvement of deconvolution-convolution treatment of axial-divergence aberration in Bragg-Brentano geometry,” Powder Diffr. 33, 121133. doi:10.1017/S0885715618000349.CrossRefGoogle Scholar
Mendenhall, M. H., Mullen, K., and Cline, J. P. (2015). “An implementation of the fundamental parameters approach for analysis of X-ray powder diffraction line profiles,” J. Res. Natl. Inst. Stand. Technol. 120, 223251. doi:10.6228/jres.120.014.CrossRefGoogle ScholarPubMed
Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P. (2007). Numerical Recipes, 3rd ed. (Cambridge University Press, London).Google Scholar
Słowik, J. and Zięba, A. (2001). “Geometrical equatorial aberrations in a Bragg-Brentano powder diffractometer with a linear position-sensitive detector,” J. Appl. Crystallogr. 34, 458464. doi:10.1107/S0021889801007877.CrossRefGoogle Scholar
Yukino, K. and Uno, R. (1986). “ε-Scanning' – a method of evaluating the dimensional and orientation of crystallites by X-ray powder diffractometer,” Jpn. J. Appl. Phys. 25, 661666. doi:10.1143/JJAP.25.661.CrossRefGoogle Scholar