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Figure 1
Scattering amplitudes that can be calculated from linear transformations of a sphere. (a) The identity transform to create a sphere. (b) Scale transforms along the y and z axes to create an ellipsoid. (c) Scale transforms followed by a shear transform to create a rotated ellipsoid. (d) The ellipsoid shown in (c) integrated over all possible rotations and reduced to one dimension. The curves in (d) were calculated via the matrix transformation approach described in this work and Monte Carlo integration; however, the two approaches are indistinguishable as they converge perfectly.

Journal logoJOURNAL OF
APPLIED
CRYSTALLOGRAPHY
ISSN: 1600-5767
Volume 53| Part 5| October 2020| Pages 1387-1391
https://doi.org/10.1107/S1600576720010389
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