VOLDIS: A Direct Search for the Size Distribution of Nanoparticles from Small-Angle Scattering Data and Stability of the Solution
The paper considers an algorithm for the direct search for a nonparametric smooth histogram of the particle size distribution from small-angle X-ray and neutron scattering data. The features and details of the implementation of the method, which consists in the sequential search for several solution...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-11-01
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| Series: | Crystals |
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| Online Access: | https://www.mdpi.com/2073-4352/12/11/1659 |
| _version_ | 1797465584032546816 |
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| author | Vladimir V. Volkov |
| author_facet | Vladimir V. Volkov |
| author_sort | Vladimir V. Volkov |
| collection | DOAJ |
| description | The paper considers an algorithm for the direct search for a nonparametric smooth histogram of the particle size distribution from small-angle X-ray and neutron scattering data. The features and details of the implementation of the method, which consists in the sequential search for several solutions with different degrees of smoothness of the distribution contour, are considered. Methods for evaluating the stability of both the whole distribution contour and its individual parts are discussed. The work of the program is illustrated by examples of the analysis of polydisperse spherical particles in silicasol solutions. |
| first_indexed | 2024-03-09T18:24:35Z |
| format | Article |
| id | doaj.art-852a3302fd1240209f154acbbc9d462d |
| institution | Directory Open Access Journal |
| issn | 2073-4352 |
| language | English |
| last_indexed | 2024-03-09T18:24:35Z |
| publishDate | 2022-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Crystals |
| spelling | doaj.art-852a3302fd1240209f154acbbc9d462d2023-11-24T08:02:37ZengMDPI AGCrystals2073-43522022-11-011211165910.3390/cryst12111659VOLDIS: A Direct Search for the Size Distribution of Nanoparticles from Small-Angle Scattering Data and Stability of the SolutionVladimir V. Volkov0A.V. Shubnikov Institute of Crystallography, Federal Scientific Research Centre “Crystallography and Photonics”, Russian Academy of Sciences, 59, Leninskii Prospect, 119333 Moscow, RussiaThe paper considers an algorithm for the direct search for a nonparametric smooth histogram of the particle size distribution from small-angle X-ray and neutron scattering data. The features and details of the implementation of the method, which consists in the sequential search for several solutions with different degrees of smoothness of the distribution contour, are considered. Methods for evaluating the stability of both the whole distribution contour and its individual parts are discussed. The work of the program is illustrated by examples of the analysis of polydisperse spherical particles in silicasol solutions.https://www.mdpi.com/2073-4352/12/11/1659small-angle scatteringparticle size distributionnon-linear least squaresnumerical methods |
| spellingShingle | Vladimir V. Volkov VOLDIS: A Direct Search for the Size Distribution of Nanoparticles from Small-Angle Scattering Data and Stability of the Solution Crystals small-angle scattering particle size distribution non-linear least squares numerical methods |
| title | VOLDIS: A Direct Search for the Size Distribution of Nanoparticles from Small-Angle Scattering Data and Stability of the Solution |
| title_full | VOLDIS: A Direct Search for the Size Distribution of Nanoparticles from Small-Angle Scattering Data and Stability of the Solution |
| title_fullStr | VOLDIS: A Direct Search for the Size Distribution of Nanoparticles from Small-Angle Scattering Data and Stability of the Solution |
| title_full_unstemmed | VOLDIS: A Direct Search for the Size Distribution of Nanoparticles from Small-Angle Scattering Data and Stability of the Solution |
| title_short | VOLDIS: A Direct Search for the Size Distribution of Nanoparticles from Small-Angle Scattering Data and Stability of the Solution |
| title_sort | voldis a direct search for the size distribution of nanoparticles from small angle scattering data and stability of the solution |
| topic | small-angle scattering particle size distribution non-linear least squares numerical methods |
| url | https://www.mdpi.com/2073-4352/12/11/1659 |
| work_keys_str_mv | AT vladimirvvolkov voldisadirectsearchforthesizedistributionofnanoparticlesfromsmallanglescatteringdataandstabilityofthesolution |