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. 2022 Jul 5;55(Pt 4):823–836. doi: 10.1107/S1600576722004885

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© Mojmír Meduňa et al. 2022

This is an open-access article distributed under the terms of the Creative Commons Attribution (CC-BY) Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original authors and source are cited.

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(a) A geometric scheme of reciprocal-space mapping under various azimuths using a highly divergent X-ray beam (orange arrows) incident on the sample (green square) and analogous to the Radon transform used in standard CT techniques. (Q _r,s) represent the reciprocal coordinate system bound with the diffractometer and is fixed with the sample. Each of the blue points is projected onto a coloured point on the Q _r axis along the L _r,φ line determined by Q _r position and direction φ. When the sample is rotated, the coloured points move along the Q _r axis as a sine function, building an intensity distribution in a sinogram map. (b) Examples of sinograms I(Q _r,φ) corresponding to the coloured points projected along the L _r,φ line in panel (a).

Inline graphic — (a) A geometric scheme of reciprocal-space mapping under various azimuths using a highly divergent X-ray beam (orange arrows) incident on the sample (green square) and analogous to the Radon transform used in standard CT techniques. (Q _r,s) represent the reciprocal coordinate system bound with the diffractometer and is fixed with the sample. Each of the blue points is projected onto a coloured point on the Q _r axis along the L _r,φ line determined by Q _r position and direction φ. When the sample is rotated, the coloured points move along the Q _r axis as a sine function, building an intensity distribution in a sinogram map. (b) Examples of sinograms I(Q _r,φ) corresponding to the coloured points projected along the L _r,φ line in panel (a).