Abstract
The first part of the article proves the existence of a solution for the problem of estimating the full set of interatomic distances, which easily leads to determination of single crystal structure. The second part proves the existence of a solution for the problem of estimating the density of a spherically symmetrical particle from small-angle scattering data.
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Shchedrin, B.M. Existence of a Solution of the Inverse Problem Estimating the Structure of Materials from Diffraction Data. Computational Mathematics and Modeling 12, 243–251 (2001). https://doi.org/10.1023/A:1012545423216
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DOI: https://doi.org/10.1023/A:1012545423216