This article is cited in 7 papers

CONDENSED MATTER

Combined scheme of reconstruction of the particle size distribution function using small-angle scattering data

V. V. Volkov, P. V. Konarev, A. E. Kryukova

Shubnikov Institute of Crystallography, Federal Scientific Research Centre Crystallography and Photonics, Russian Academy of Sciences, Moscow, 119333 Russia

Abstract: To analyze polydisperse systems of nanoparticles, the particle size distribution function can be determined from small-angle X-ray and neutron scattering data using some algorithms. The corresponding least squares problem is an ill-posed problem; correspondingly, a solution can strongly depend on the initial approximation and the parameters of search algorithms. A procedure based on solving a system of linear equations with regularization gives a stable solution, but it is not free of artifacts. Other algorithms that seek the distribution function both in an analytical form and in the form of a nonparametric histogram provide solutions that can depend on the search parameters and the initial approximation. In this work, a combined scheme of using these algorithms has been proposed to increase the stability of the solution and, thereby, its reliability.

Received: 07.10.2020
Revised: 07.10.2020
Accepted: 07.10.2020

DOI: 10.31857/S1234567820210107

 English version: Journal of Experimental and Theoretical Physics Letters, 2020, 112:9, 591–595

Bibliographic databases:

• 
• 
•