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Particle shape reconstruction from the asymptotic small-angle scattering intensity

For two-phase samples, made up of equally shaped and oriented particles with a different size, the particle shape can be reconstructed from the relevant asymptotic iso-intensity surfaces if these are smooth revolution surfaces. This result, applied to a two-dimensional diffraction pattern with a C2-symmetry, determines the shape of the particle sections with the detector plane. The procedure is applied to an alloy sample and to a polymer solution under shear.