Studies on the Radial Distribution Analysis in Diffraction Methods III. Extrapolation of Intensity Data to Small Scattering Angle

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The extrapolation was performed by the approximation in the series of Legendre polynomials and the error in the radial distribution function caused by a failure of the extrapolation was discussed. As the result, the method is inferred to be successfully applied to the experimental data so that the extrapolation can be obtained straightforwardly without any assumption of the structure in advance. Furthermore, the criterion for judging the uniqueness and correctness of the extrapolation is proved to be the absence of the ripple beyond non-zero range in the radial distribution curve.

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