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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 custom-type="elpub" pub-id-type="custom">najo-1007</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>Relations between activation energies for nucleation and of growth of crystals</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>Linnikov</surname><given-names>O. D.</given-names></name></name-alternatives><bio xml:lang="en"><p>Ekaterinburg</p></bio><email xlink:type="simple">linnikov@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="en">Institute of Solid State Chemistry, Ural Branch of the Russian Academy of Sciences<country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2014</year></pub-date><pub-date pub-type="epub"><day>15</day><month>08</month><year>2025</year></pub-date><volume>5</volume><issue>4</issue><fpage>546</fpage><lpage>552</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Linnikov O.D., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Linnikov O.D.</copyright-holder><copyright-holder xml:lang="en">Linnikov O.D.</copyright-holder><license 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/1007">https://nanojournal.ifmo.ru/jour/article/view/1007</self-uri><abstract><p>The attempt to consider the influence of particle solvation of dissolved substances on the nucleation and growth of crystals during crystallization from solutions in classical thermodynamic theory of nucleation has been undertaken. A number of interesting relations between the activation energies of nucleation and of crystal growth are obtained. Comparison to the published literature data is carried out.</p></abstract><kwd-group xml:lang="en"><kwd>activation energy</kwd><kwd>solvation</kwd><kwd>nucleation</kwd><kwd>growth of crystals</kwd><kwd>solution</kwd><kwd>dissolved substance</kwd><kwd>hydration</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">Volmer M. Kinetic der Phasenbildung. Steinkopff, Leipzig. 1939.</mixed-citation><mixed-citation xml:lang="en">Volmer M. Kinetic der Phasenbildung. Steinkopff, Leipzig. 1939.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Frenkel Ya.I. Kinetic Theory of Liquids. Nauka, Leningrad. 1975 (in Russian).</mixed-citation><mixed-citation xml:lang="en">Frenkel Ya.I. 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Desalination, 122,P. 1–13 (1999).</mixed-citation><mixed-citation xml:lang="en">Linnikov O.D. Investigation of the initial period of sulphate scale formation. Part 1. Kinetics and mechanism of calcium sulphate surface nucleation at its crystallization on a heat-exchange surface. Desalination, 122,P. 1–13 (1999).</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Linnikov O.D. Investigation of the initial period of sulphate scale formation. Part 2. Kinetics of calcium sulphate surface crystal growth at its crystallization on a heat-exchange surface. Desalination, 128, P. 35–46 (2000).</mixed-citation><mixed-citation xml:lang="en">Linnikov O.D. Investigation of the initial period of sulphate scale formation. Part 2. Kinetics of calcium sulphate surface crystal growth at its crystallization on a heat-exchange surface. Desalination, 128, P. 35–46 (2000).</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Goroshchenko Ya.G., Kuprina R.V. Calculation of energies of hydration and of dissociation of chlorides of lithium, sodium and potassium in aqueous solutions. J. Phys. Chem., 57 (1), P. 54–57 (1983)(in Russian).</mixed-citation><mixed-citation xml:lang="en">Goroshchenko Ya.G., Kuprina R.V. Calculation of energies of hydration and of dissociation of chlorides of lithium, sodium and potassium in aqueous solutions. J. Phys. Chem., 57 (1), P. 54–57 (1983)(in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Linnikov O.D. Spontaneous crystallization of potassium chloride from aqueous and aqueous-ethanol solutions. Part 1: Kinetics and mechanism of the crystallization process. Crystal Research and Technology, 39 (6), P. 516–528 (2004).</mixed-citation><mixed-citation xml:lang="en">Linnikov O.D. Spontaneous crystallization of potassium chloride from aqueous and aqueous-ethanol solutions. Part 1: Kinetics and mechanism of the crystallization process. Crystal Research and Technology, 39 (6), P. 516–528 (2004).</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Linnikov O.D. Spontaneous crystallization of sodium chloride from aqueous-ethanol solutions. Part 1. Kinetics and mechanism of the crystallization process. Crystal Research and Technology, 41 (1), P. 10–17 (2006).</mixed-citation><mixed-citation xml:lang="en">Linnikov O.D. Spontaneous crystallization of sodium chloride from aqueous-ethanol solutions. Part 1. Kinetics and mechanism of the crystallization process. Crystal Research and Technology, 41 (1), P. 10–17 (2006).</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
