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Figure 6
Scattering intensities from (a) a regular hexagon with a side length of 12 nm, (b) a distribution of regular hexagons with an average side length of 12 nm and a standard deviation of the side lengths of 4 nm, (c) a distribution of distorted hexagons as shown in Fig. 5[link](b), (d) the same distribution as in panel (c) but with a side facet roughness σ = 0.6 nm added according to equation (7)[link], and (e) a distribution of randomly oriented distorted hexagons. The colour-coded scale bar representing the intensity is applicable to panels (a)–(e). (f) Radial intensity distributions from panels (b)–(e) in the directions of the intensity maxima; the product Iq3 is plotted. The curves are labelled by the same letters as the respective maps. The effect of roughness is illustrated in (f) by two curves: the solid red curve corresponds to the geometric distribution of the atomic steps on the side facets and the dashed red curve to the Poisson distribution, both possessing the same r.m.s. roughness of σ = 0.6 nm.

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