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Figure 4
The left panel shows a schematic representation of the two-dimensional toy crystal discussed in the text, with two scatterers of equal strength at positions (0, 0) and [\textstyle(a, b) = ({1\over 3}, {1\over \sqrt 3})] of the fundamental domain (indicated by shading). The corresponding autocorrelation [\gamma] is shown in the central panel, while the corresponding diffraction measure [\widehat\gamma] is displayed in the right panel. Here, a point measure is represented by a dot that is centred at the position of the peak and has an area proportional to the weight of the point measure. The irrational position in the vertical direction leads to an incommensurate modulation of the peak intensities in this direction, while the diffraction is periodic with period 3 in the horizontal direction.

Journal logoSTRUCTURAL SCIENCE
CRYSTAL ENGINEERING
MATERIALS
ISSN: 2052-5206
Volume 71| Part 3| June 2015| Pages 258-274
https://doi.org/10.1107/S2052520615008409
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