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<article 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" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Computational nanotechnology</journal-id><journal-title-group><journal-title xml:lang="en">Computational nanotechnology</journal-title><trans-title-group xml:lang="kk"><trans-title>Computational nanotechnology</trans-title></trans-title-group><trans-title-group xml:lang="pt"><trans-title>Computational nanotechnology</trans-title></trans-title-group><trans-title-group xml:lang="ru"><trans-title>Computational nanotechnology</trans-title></trans-title-group><trans-title-group xml:lang="zh"><trans-title>Computational nanotechnology</trans-title></trans-title-group></journal-title-group><issn publication-format="print">2313-223X</issn><issn publication-format="electronic">2587-9693</issn><publisher><publisher-name xml:lang="en">YUR-VAK</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">529877</article-id><article-id pub-id-type="doi">10.33693/2313-223X-2022-9-3-73-79</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Articles</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Статьи</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Simulation of Aggregation Process in Cerium and Zirconium Dioxide Nanoparticles</article-title><trans-title-group xml:lang="ru"><trans-title>Моделирование агрегации наночастиц диоксидов церия и циркония</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Voronin</surname><given-names>Mikhail E.</given-names></name><name xml:lang="ru"><surname>Воронин</surname><given-names>Михаил Эдуардович</given-names></name></name-alternatives><bio xml:lang="en"><p>postgraduate student at the Department of Information Computer Technologies</p></bio><bio xml:lang="ru"><p>аспирант кафедры информационных компьютерных технологий</p></bio><email>mvoroninmsc@gmail.com</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Gavrilova</surname><given-names>Natalia N.</given-names></name><name xml:lang="ru"><surname>Гаврилова</surname><given-names>Наталья Николаевна</given-names></name></name-alternatives><bio xml:lang="en"><p>Dr. Sci. (Chem.), Associate Professor; associate professor at the Department of Colloid Chemistry</p></bio><bio xml:lang="ru"><p>доктор химических наук, доцент; профессор кафедры коллоидной химии</p></bio><email>gavrilova.n.n@muctr.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Koltsova</surname><given-names>Eleonora M.</given-names></name><name xml:lang="ru"><surname>Кольцова</surname><given-names>Элеонора Моисеевна</given-names></name></name-alternatives><bio xml:lang="en"><p>Dr. Sci. (Eng.), Professor; Head at the Department of Information Computer Technologies</p></bio><bio xml:lang="ru"><p>доктор технических наук, профессор; заведующая кафедрой информационных компьютерных технологий</p></bio><email>koltsova.e.m@muctr.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Zhensa</surname><given-names>Andrey V.</given-names></name><name xml:lang="ru"><surname>Женса</surname><given-names>Андрей Вячеславович</given-names></name></name-alternatives><bio xml:lang="en"><p>Cand. Sci. (Eng.), Associate Professor; associate professor at the Department of Information Computer Technologies</p></bio><bio xml:lang="ru"><p>кандидат технических наук, доцент; доцент кафедры информационных компьютерных технологий</p></bio><email>zhensa.a.v@muctr.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Mendeleev University of Chemical Technology of Russia</institution></aff><aff><institution xml:lang="ru">Российский химико-технологический университет имени Д.И. Менделеева</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2022-09-15" publication-format="electronic"><day>15</day><month>09</month><year>2022</year></pub-date><volume>9</volume><issue>3</issue><issue-title xml:lang="en">VOL 9, NO3 (2022)</issue-title><issue-title xml:lang="ru">ТОМ 9, №3 (2022)</issue-title><fpage>73</fpage><lpage>79</lpage><history><date date-type="received" iso-8601-date="2023-07-05"><day>05</day><month>07</month><year>2023</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2022, Yur-VAK</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2022, Юр-ВАК</copyright-statement><copyright-year>2022</copyright-year><copyright-holder xml:lang="en">Yur-VAK</copyright-holder><copyright-holder xml:lang="ru">Юр-ВАК</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">https://www.urvak.ru/contacts/</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.eco-vector.com/2313-223X/article/view/529877">https://journals.eco-vector.com/2313-223X/article/view/529877</self-uri><abstract xml:lang="en"><p>A study of the aggregative stability of the CeO2-ZrO2 system was carried out in various pH ranges of the medium. To create a mathematical model of the stability of aggregates, the generalized DLVO theory was taken. The parameters of the structural component of the potential energy of particle interaction are determined using the principle of minimum entropy production. The limiting particle sizes of an an aggregatively stable system are determined.</p></abstract><trans-abstract xml:lang="ru"><p>Проведено исследование агрегативной устойчивости системы CeO2-ZrO2 в различных диапазонах рН среды. Для создания математической модели устойчивости агрегатов была взята обобщенная теория ДЛФО. Определены параметры структурной составляющей потенциальной энергии взаимодействия частиц с помощью принципа минимума производства энтропии. Определены предельные размеры частиц агрегативно устойчивой системы.</p></trans-abstract><kwd-group xml:lang="en"><kwd>coagulation kernel</kwd><kwd>principle of minimum entropy production</kwd><kwd>aggregative stability</kwd><kwd>oxides</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>ядро коагуляции</kwd><kwd>принцип минимума производство энтропии</kwd><kwd>агрегативная устойчивость</kwd><kwd>оксиды</kwd></kwd-group></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>Trovarelli A. Catalytic properties of ceria and CeO2-containing materials. Catalysis Reviews. 1996. Vol. 38. No. 4. Pp. 439-520.</mixed-citation></ref><ref id="B2"><label>2.</label><mixed-citation>Derjaguin B.V., Landau L.D. Theory of stability of strongly charged lyophobic sols and adhesion of strongly charged particles in electrolyte solutions. JETP. 1941. Vol. 11. No. 2. 802 p.</mixed-citation></ref><ref id="B3"><label>3.</label><mixed-citation>Verwey E.J.W., Overbeek J.T.G. 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