SOLUTION STABILITY FOR A MIXTURE OF POLYDISPERSE SPHERICAL AND CYLINDRICAL PARTICLES USING SMALL-ANGLE SCATTERING DATA
https://doi.org/10.56304/S2079562926010197
EDN: AONBNP
Abstract
The stability of the determination of particle size distributions using model small-angle scattering intensity from mixtures of polydisperse spherical and cylindrical particles has been analyzed. It is shown that when using a parametric distribution model, the probability of obtaining the correct nonlinear least squares solution decreases when the range of starting parameter values is expanded, and the scatter of solutions corresponding to local minima of the target function increases. Ambiguity of solutions occurs in most cases with overestimations of the average size of cylindrical particles and their polydispersity compared to the exact solution. To avoid the minimization target function falling into local minima, a good starting approximation is required, within 50% of the relative detuning of the model parameters from their exact values.
About the Authors
A. E. Kruykova
Shubnikov Institute of Crystallography of the Kurchatov Complex of Crystallography and Photonics, National Research Centre “Kurchatov Institute”
Russian Federation
Russian Federation
P. V. Konarev
Shubnikov Institute of Crystallography of the Kurchatov Complex of Crystallography and Photonics, National Research Centre “Kurchatov Institute”
Russian Federation
Russian Federation
V. V. Volkov
Shubnikov Institute of Crystallography of the Kurchatov Complex of Crystallography and Photonics, National Research Centre “Kurchatov Institute”
Russian Federation
Russian Federation
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Review
For citations:
Kruykova A.E., Konarev P.V., Volkov V.V. SOLUTION STABILITY FOR A MIXTURE OF POLYDISPERSE SPHERICAL AND CYLINDRICAL PARTICLES USING SMALL-ANGLE SCATTERING DATA. Nuclear Physics and Engineering. 2026;17(1):165-170. (In Russ.) https://doi.org/10.56304/S2079562926010197. EDN: AONBNP
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