<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE root>
<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">Doklady Chemistry</journal-id><journal-title-group><journal-title xml:lang="en">Doklady Chemistry</journal-title><trans-title-group xml:lang="ru"><trans-title>Доклады Российской академии наук. Химия, науки о материалах</trans-title></trans-title-group></journal-title-group><issn publication-format="print">2686-9535</issn><issn publication-format="electronic">3034-5111</issn><publisher><publisher-name xml:lang="en">The Russian Academy of Sciences</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">651906</article-id><article-id pub-id-type="doi">10.31857/S2686953524030046</article-id><article-id pub-id-type="edn">ZIXTPC</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>PHYSICAL CHEMISTRY</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>ФИЗИЧЕСКАЯ ХИМИЯ</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">Development of an applied variant of the kolmogorov–johnson–mehl theory of crystallization for processing thermal analysis data. Temperatures and enthalpies of melting germanium isotopes</article-title><trans-title-group xml:lang="ru"><trans-title>Развитие прикладного варианта теории кристаллизации колмогорова–джонсона–мейла для обработки данных термического анализа. Температуры и энтальпии плавления изотопов германия</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Kutin</surname><given-names>A. M.</given-names></name><name xml:lang="ru"><surname>Кутьин</surname><given-names>А. М.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><email>plekhovich@ihps-nnov.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Plekhovich</surname><given-names>A. D.</given-names></name><name xml:lang="ru"><surname>Плехович</surname><given-names>А. Д.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><email>plekhovich@ihps-nnov.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Gavva</surname><given-names>V. A.</given-names></name><name xml:lang="ru"><surname>Гавва</surname><given-names>В. А.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><bio xml:lang="en"><p>Corresponding Member of the RAS</p></bio><bio xml:lang="ru"><p>член-корреспондент РАН</p></bio><email>plekhovich@ihps-nnov.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Bulanov</surname><given-names>A. D.</given-names></name><name xml:lang="ru"><surname>Буланов</surname><given-names>А. Д.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><email>plekhovich@ihps-nnov.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">G. G. Devyatykh Institute of Chemistry of High-Purity Substances, Russian Academy of Sciences</institution></aff><aff><institution xml:lang="ru">Институт химии высокочистых веществ им. Г.Г. Девятых Российской академии наук</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2024-11-03" publication-format="electronic"><day>03</day><month>11</month><year>2024</year></pub-date><volume>516</volume><issue>1</issue><fpage>30</fpage><lpage>38</lpage><history><date date-type="received" iso-8601-date="2025-02-02"><day>02</day><month>02</month><year>2025</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2024, Russian Academy of Sciences</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2024, Российская академия наук</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="en">Russian Academy of Sciences</copyright-holder><copyright-holder xml:lang="ru">Российская академия наук</copyright-holder></permissions><self-uri xlink:href="https://journals.eco-vector.com/2686-9535/article/view/651906">https://journals.eco-vector.com/2686-9535/article/view/651906</self-uri><abstract xml:lang="en"><p>An applied kinetic model has been developed for processing DSC peaks of transitions between states, determining the temperature–time dependence of the degree of transition and combining the fundamental theory of Kolmogorov–Johnson–Mehl crystallization, simplified for practice, with the semi-empirical Erofeev model. In the development of this applied model, the concept of a “thermodynamic factor” is introduced, which allows a transition in the kinetics of phase transformations of condensed matter. The application of the new approach is demonstrated by the example of studying the dependences of temperature and enthalpy of fusion on the average atomic mass of stable germanium isotopes, data on which, as new chemical individuals, are of a fundamental nature and can serve as reference information<italic>.</italic></p></abstract><trans-abstract xml:lang="ru"><p>Разработана прикладная кинетическая модель для обработки ДСК-пиков переходов между состояниями, определяющая температурно-временную зависимость степени перехода и объединяющая упрощенную для практики фундаментальную теорию кристаллизации Колмогорова–Джонсона–Мейла c полуэмпирической моделью Ерофеева. В развитие этой прикладной модели вводится понятие “термодинамического фактора”, разрешающего переход в кинетике фазовых превращений конденсированных сред. Применение нового подхода продемонстрировано на примере исследования зависимостей температуры и энтальпии плавления от средней атомной массы стабильных изотопов германия, данные о которых, как новых химических индивидах, имеют фундаментальный характер и могут служить справочной информацией.</p></trans-abstract><kwd-group xml:lang="en"><kwd>Kolmogorov–Johnson–Mehl (KDM) theory of crystallization</kwd><kwd>DSC</kwd><kwd>melting of germanium isotopes</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>термоанализ</kwd><kwd>прикладная теория кристаллизации Колмогорова–Джонсона–Мейла</kwd><kwd>плавление изотопов германия</kwd></kwd-group><funding-group><award-group><funding-source><institution-wrap><institution xml:lang="ru">Министерство науки и высшего образования РФ (тема)</institution></institution-wrap><institution-wrap><institution xml:lang="en">Ministry of Science and Higher Education of the Russian Federation</institution></institution-wrap></funding-source><award-id>FFSR-2022-0006</award-id></award-group></funding-group></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>Gabbott P.L. Principles and Applications of Thermal Analysis. 1st edn. Blackwell Publishing Ltd., 2008. P. 484. https://doi.org/10.1002/9780470697702</mixed-citation></ref><ref id="B2"><label>2.</label><mixed-citation>Jackson K.A. Kinetic processes crystal growth, diffusion, and phase transitions in materials. WILEY-VCH Verlag GmbH &amp; Co. KGaA, Weinheim, 2004. p. 426.</mixed-citation></ref><ref id="B3"><label>3.</label><mixed-citation>Хеммингер В., Хене Г. Калориметрия. Теория и практика. Пер. с англ. М.: Химия, 1990. с. 176.</mixed-citation></ref><ref id="B4"><label>4.</label><mixed-citation>Borchard H.J., Daniels F. // J. Am. Chem. Soc. 1957. V. 79. P. 41–46 https://doi.org/10.1021/ja01558a009</mixed-citation></ref><ref id="B5"><label>5.</label><mixed-citation>Колмогоров А.Н. // Изв. АН СССР. Сер. матем. Т. 1937. № 3. С. 355—359.</mixed-citation></ref><ref id="B6"><label>6.</label><mixed-citation>Johnson W.A., Mehl R.F. // Trans. AIME. 1939. V. 135. P. 416–442.</mixed-citation></ref><ref id="B7"><label>7.</label><mixed-citation>Беленький В.З. Геометрико-вероятностные модели кристаллизации. М.: Наука, 1980. с. 88.</mixed-citation></ref><ref id="B8"><label>8.</label><mixed-citation>Sestaik J., Berggren G. // Thermochim. Acta. 1971. V. 3. Р. 1–12. https://doi.org/10.1016/0040-6031(71)85051-7</mixed-citation></ref><ref id="B9"><label>9.</label><mixed-citation>Янг Д. Кинетика разложения твердых веществ. Пер. с англ. М.: Мир, 1969. с. 263.</mixed-citation></ref><ref id="B10"><label>10.</label><mixed-citation>Лифшиц Е.М., Питаевский Л.П. Физическая кинетика, М.: Физматлит, 2001. Т. 10. с. 536.</mixed-citation></ref><ref id="B11"><label>11.</label><mixed-citation>Kut’in A.M., Plekhovich A.D., Balueva K.V., Sukhanov M.V., Evdokimov I.I. // J. Non-Cryst. Solids. 2022. V. 582. 121440. https://doi.org/10.1016/j.jnoncrysol.2022.121440</mixed-citation></ref><ref id="B12"><label>12.</label><mixed-citation>Кутьин А.М., Плехович А.Д., Суханов М.В., Балуева К.В. // Неорг. матер. 2019. Т. 55. № 10. С. 1101–1107. https://doi.org/10.1134/S0020168519080053</mixed-citation></ref><ref id="B13"><label>13.</label><mixed-citation>Кутьин А.М., Плехович А.Д., Дорофеев В.В. // Неорг. матер. 2016. Т. 52. № 6. С. 656–663. https://doi.org/10.7868/S0002337X16060063</mixed-citation></ref><ref id="B14"><label>14.</label><mixed-citation>Франк-Каменецкий Д.А. Диффузия и теплопередача в химической кинетике. М.: Наука, 1987. с. 502.</mixed-citation></ref><ref id="B15"><label>15.</label><mixed-citation>Кубо Р. Термодинамика. Пер. с англ. М: Мир, 1970. С. 264.</mixed-citation></ref><ref id="B16"><label>16.</label><mixed-citation>Berglund M., Wieser M.E. // Pure Appl. Chem. 2011. V. 83. № 2. P. 397–410. http://dx.doi.org/10.1351/PAC-REP-10-06-02</mixed-citation></ref><ref id="B17"><label>17.</label><mixed-citation>Churbanov M.F., Gavva V.A., Bulanov A.D., Abrosimov N.V., Kozyrev E.A., Andryushchenko I.A., Lipskii V.A., Adamchik S.A., Troshin O.Yu., Lashkov A.Yu., Gusev A.V. // Cryst. Res. Technol. 2017. V. 52. № 4. P. 1700026. https://doi.org/10.1002/crat.201700026</mixed-citation></ref><ref id="B18"><label>18.</label><mixed-citation>Gavva V.A., Bulanov A.D., Kut’in A.M., Plekhovich A.D., Churbanov M.F. // Phys. B Cond. Matter. 2018. V. 537. P. 12–14. https://doi.org/10.1016/j.physb.2018.01.056</mixed-citation></ref></ref-list></back></article>
