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A new straightforward means of quantifying the non-uniformity in X-ray scattering rings is described. The resulting metrics can be used to assess the number of crystalline grains within the scattering volume and can thus be used to estimate grain size or crystallinity.

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A scattering formalism optimized for periodic lattices of nano-objects is described. This formalism allows for arbitrary anisotropic nanoparticles assembled into homogeneous or heterogeneous superlattices. Various kinds of disorder are considered, allowing detailed fitting of experimental data for nanoparticle superlattices.
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