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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">najo</journal-id><journal-title-group><journal-title xml:lang="en">Nanosystems: Physics, Chemistry, Mathematics</journal-title><trans-title-group xml:lang="ru"><trans-title>Наносистемы: физика, химия, математика</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2220-8054</issn><issn pub-type="epub">2305-7971</issn><publisher><publisher-name>Университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17586/2220-8054-2022-13-4-365-371</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-248</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Статьи</subject></subj-group></article-categories><title-group><article-title>On Keller-Rubinow model for Liesegang structure formation</article-title><trans-title-group xml:lang="ru"><trans-title></trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Topaev</surname><given-names>T. N.</given-names></name></name-alternatives><email xlink:type="simple">topaev-timur@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Popov</surname><given-names>A. I.</given-names></name></name-alternatives><email xlink:type="simple">popov239@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Popov</surname><given-names>I. Y.</given-names></name></name-alternatives><email xlink:type="simple">popov1955@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>ITMO University</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2022</year></pub-date><pub-date pub-type="epub"><day>06</day><month>06</month><year>2025</year></pub-date><volume>13</volume><issue>4</issue><fpage>365</fpage><lpage>371</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Topaev T.N., Popov A.I., Popov I.Y., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Topaev T.N., Popov A.I., Popov I.Y.</copyright-holder><copyright-holder xml:lang="en">Topaev T.N., Popov A.I., Popov I.Y.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://nanojournal.ifmo.ru/jour/article/view/248">https://nanojournal.ifmo.ru/jour/article/view/248</self-uri><abstract><p>We consider a chemical process, the precipitate of which will be represented by a structure in the form of rings. The study and modeling of this process is relevant, since it becomes possible to form micro- and nanostructures based on this approach. We consider the version of the one-dimensional model of Keller and Rubinow which describes the formation of Liesegang rings due to the Ostwald supersaturation. The dependencies of the results obtained on the initial conditions and the model parameters were studied numerically.</p></abstract><kwd-group xml:lang="en"><kwd>nanostructures</kwd><kwd>Liesegang rings</kwd><kwd>Keller-Rubinow model</kwd><kwd>chemical reaction modeling</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Liesegang R.E. U¨ ber einige Eigenschaften von Gallerten. Naturwiss. Wochenschr., 1896, 11, P. 353-362.</mixed-citation><mixed-citation xml:lang="en">Liesegang R.E. U¨ ber einige Eigenschaften von Gallerten. Naturwiss. 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