Iterative method of reconstructing the size distribution function of spherical nanoparticles based on the intensity of the small-angle X-ray scattering including the interference contribution to the intensity

It has been shown that for systems of polydisperse spherical particles the interference distortions of the scattering intensity significantly affect the result of reconstructing the particle size distribution when the volume fraction of the scattering substance is higher than 10%. We have developed an iterative method that reconstructs the size distribution function from the small-angle X-ray scattering intensity with interference distortions. The efficiency of this method is confirmed based on simulated scattering intensities and experimentally measured intensities of samples with a volume fraction of a scattering substance up to 40%.