Combination of Minimization Schemes for Improving the Efficiency of Volume Particle Size Distribution Reconstructions from Silicasol Solutions by Small-Angle X-Ray Scattering

Abstract

The results of research on determining the volume particle-size distributions for a two-component polydisperse system of silica-sol solution by combining the quasi-Newton gradient minimization and the simulated annealing methods are presented. These data are compared with the results obtained earlier using both of these methods separately. It is shown that combination of these methods allows one to expand the intervals of convergence to a stable solution significantly and thus improve the efficiency of reconstruction of the particle-size distributions from small-angle X-ray scattering data.