The optics of focusing bent-crystal monochromators on X-ray powder diffractometers with application to lattice determination and microstructure analysis

Published

September 6, 2019

Author(s)

Marcus H. Mendenhall, David R. Black, James P. Cline

Abstract

Abstract The use of an Incident Beam Monochromator (IBM) or multilayer focusing mirror in an X- ray powder diffractometer modifies both the shape of the spectrum from the X-ray source, and the relation between the apparent diffracted angle and the actual wavelength of the X-ray. For high- accuracy work, the traditional assumption of a narrow line of typically Gaussian shape does not suffice. Both the shape of the tails of peaks, and their width, can be described by a new model which couples the dispersion from the optic to the dispersion from the powder sample, and to its transport to a detector. We present such a model, and demonstrate that it produces excellent fits via the Fundamental Parameter Approach, and requires few free parameters to achieve this. Further, the parameters used are directly relatable to physical characteristics of the diffractometer optics. This agreement is critical for the evaluation of high-precision lattice parameters and crystal microstructural parameters by power diffraction.

Citation

Journal of Applied Crystallography

Volume

52

Issue

5

Pub Type

Journals

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DOI Link

Keywords

Johansson monochromator, powder diffraction, XRPD, FPA, Fundamental Parameters Approach

Citation

Mendenhall, M. , Black, D. and Cline, J. (2019), The optics of focusing bent-crystal monochromators on X-ray powder diffractometers with application to lattice determination and microstructure analysis, Journal of Applied Crystallography, [online], https://doi.org/10.1107/S1600576719010951 (Accessed October 16, 2024)