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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
D. I. Svergun, P. V. Konarev, V. V. Volkov, et al., J. Chem. Phys. 113, 1651 (2000).
P. V. Konarev, M. V. Petoukhov, V. V. Volkov, and D. I. Svergun, J. Appl. Crystallogr. 39, 277 (2006).
M. V. Petoukhov, D. Franke, A. V. Shkumatov, et al., J. Appl. Crystallogr. 45, 342 (2012).
P. V. Konarev, V. V. Volkov, A. V. Sokolova, et al., J. Appl. Crystallogr. 36, 1277 (2003).
D. I. Svergun and L. A. Feigin, Structure Analysis by Small-Angle X-Ray and Neutron Scattering (Plenum, New York, 1987; Nauka, Moscow, 1986).
D. I. Svergun, J. Appl. Crystallogr. 25, 495 (1992).
I. Breßler, J. Kohlbrecher, and A. F. Thünemann, J. Appl. Crystallogr. 48, 1587 (2015).
G. Alina, P. Butler, J. Cho, M. Doucet, A. Gervaise, and P. Kienzle, SasView for Small-Angle Scattering Analysis. http://www.sasview.org/.
I. Bressler, B. R. Pauw, and A. F. Thunemann, J. Appl. Crystallogr. 48, 962 (2015).
A. E. Kryukova, A. S. Kozlova, P. V. Konarev, V. V. Volkov, and V. E. Asadchikov, Crystallogr. Rep. 63, 531 (2018).
P. E. Gill, W. Murray, and M. H. Wright, Practical Optimization (Academic, London, 1981).
S. Kirkpatrick, C. D. Gelatt, and M. P. Vecci, Science (Washington, DC, U. S.) 220 (4598), 671 (1983).
A. E. Kryukova, P. V. Konarev, V. V. Volkov, and V. E. Asadchikov, J. Mol. Liq. 283, 221 (2019).
F. Dumont, J. Warlus, A. Watillon, et al., Interface Sci. 138, 543 (1990).
V. E. Asadchikov, V. V. Volkov, Yu. O. Volkov, K. A. Dembo, I. V. Kozhevnikov, B. S. Roshchin, D. A. Frolov, and A. M. Tikhonov, JETP Lett. 94, 585 (2011).
L. Yu. Mogilevskii, A. T. Dembo, D. I. Svergun, and L. A. Feigin, Sov. Phys. Crystallogr. 29, 349 (1984).
A. E. Kryukova, P. V. Konarev, and V. V. Volkov, Crystallogr. Rep. 63, 32 (2018).
Funding
This work was carried out under support of the Ministry of Science and Higher Education within the framework of executing works under the state assignment of the Federal Scientific Research Center “Crystallography and Photonics” of the Russian Academy of Sciences, as well as under partial financial support of the Russian Foundation for Basic Research (grant no. 17-00-00487 KOMFI).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The authors declare that they have no conflicts of interest.
Additional information
Russian Text © The Author(s), 2019, published in Yadernaya Fizika i Inzhiniring, 2019, Vol. 10, No. 2.
Rights and permissions
About this article
Cite this article
Kryukova, A.E., Konarev, P.V., Volkov, V.V. et al. Combination of Minimization Schemes for Improving the Efficiency of Volume Particle Size Distribution Reconstructions from Silicasol Solutions by Small-Angle X-Ray Scattering. Phys. Atom. Nuclei 82, 1576–1581 (2019). https://doi.org/10.1134/S1063778819110097
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063778819110097