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Figure 5
(a) Simulated X-ray pattern (dots with line) of polydisperse spheres given in number of scattering electrons, that is I(Q) in equation (7[link]) with ITh = 1. The inset shows a weighting function for the monodisperse patterns in Fig. 1[link](a) taken as a PSD function with diameter median values [\widetilde{D}_{4}] and [\widetilde{D}_{6}]. Shaded areas and arrows indicate intervals in Q for SAXS and XRD size analysis. (b) SAXS peak of the weighted pattern (dots) and corresponding curve fitting (solid red line) based on the analytical expression of the SAXS intensity curve for spheres, equation (11[link]). (c) Bragg peak of the weighted pattern (dots) and line-profile fitting (solid red line) based on the pseudo-Voigt function. Heights at half maximum of the scattering and diffraction peaks are indicated (horizontal blue lines). Peak widths (FWHM): [{\cal W}_{\rm saxs} = 11.3\times 10^{-3}\,\rm {\AA}^{-1}] and [{\cal W}_{\rm xrd} = 14.1\times 10^{-3}\,\rm {\AA}^{-1}].

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