CHOICE OF STARTING VALUES OF PARTICLE-SIZE DISTRIBUTION PARAMETERS FOR THEIR CALCULATION FROM SMALL-ANGLE X-RAY SCATTERING DATA

S. V. Amarantov; Амарантов С. В.; G. S. Peters; Петерс Г. С.

doi:10.31857/S0023476122600549

CHOICE OF STARTING VALUES OF PARTICLE-SIZE DISTRIBUTION PARAMETERS FOR THEIR CALCULATION FROM SMALL-ANGLE X-RAY SCATTERING DATA

Authors: Amarantov S.V.¹, Peters G.S.²
Affiliations:
1. Shubnikov Institute of Crystallography, Federal Scientific Research Centre “Crystallography and Photonics,” Russian Academy of Sciences, Moscow, 119333 Russia
2. National Research Centre “Kurchatov Institute,” Moscow, 123182 Russia
Issue: Vol 68, No 4 (2023)
Pages: 514-530
Section: ДИФРАКЦИЯ И РАССЕЯНИЕ ИОНИЗИРУЮЩИХ ИЗЛУЧЕНИЙ
URL: https://journals.rcsi.science/0023-4761/article/view/137422
DOI: https://doi.org/10.31857/S0023476122600549
EDN: https://elibrary.ru/JOJQKJ
ID: 137422

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Abstract
About the authors
References
Supplementary files
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Abstract

Simple methods are proposed for determining the starting values of the parameters of particle-size distribution models (mean radius and its standard deviation), calculated from small-angle X-ray scattering curves. Estimates of these parameters from above based on the obtained analytical expression for the Guinier region of the scattering curve from a polydisperse system obeying the Schultz distribution are proposed for systems with narrow distributions. It is proposed to estimate the parameters and range of sizes from below based on the obtained expression of the Porod asymptotics for a polydisperse system. A method for calculating the generalized Guinier–Porod approximation in Kratky coordinates, from which independent estimates of the average size and variance can also be obtained, is proposed. The efficiency of the developed approach is demonstrated by an example of analyzing the scattering intensity from aqueous solutions of silicasol nanoparticles.

Keywords

PARTICLE-SIZE DISTRIBUTION, SMALL-ANGLE X-RAY SCATTERING

About the authors

S. V. Amarantov

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

Email: amarantov_s@mail.ru
Россия, Москва

G. S. Peters

National Research Centre “Kurchatov Institute,” Moscow, 123182 Russia

Author for correspondence.
Email: amarantov_s@mail.ru
Россия, Москва

References

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