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  <front>
    <journal-meta>
      <journal-id journal-id-type="issn">2411-3336</journal-id>
      <journal-id journal-id-type="eissn">2541-9404</journal-id>
      <journal-title-group>
        <journal-title xml:lang="ru">Записки Горного института</journal-title>
        <journal-title xml:lang="en">Journal of Mining Institute</journal-title>
      </journal-title-group>
      <publisher>
        <publisher-name xml:lang="ru">Санкт-Петербургский горный университет императрицы Екатерины ΙΙ</publisher-name>
        <publisher-name xml:lang="en">Empress Catherine II Saint Petersburg Mining University</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.31897/pmi.2019.3.298</article-id>
      <article-id custom-type="pmi" pub-id-type="custom">pmi-13208</article-id>
      <article-id pub-id-type="uri">https://pmi.spmi.ru/pmi/article/view/13208</article-id>
      <article-categories>
        <subj-group subj-group-type="section-heading" xml:lang="ru">
          <subject>Металлургия и обогащение</subject>
        </subj-group>
        <subj-group subj-group-type="section-heading" xml:lang="en">
          <subject>Metallurgy and concentration</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title xml:lang="en">Modern physicochemical equilibrium description in Na2O–Al2O3–H2O system and its analogues</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Современное физико-химическое описание равновесий в системе Na2O–Al2O3–H2O и ее аналогах</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name name-style="eastern">
            <surname>Sizyakov</surname>
            <given-names>V. M.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Сизяков</surname>
              <given-names>В. М.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Sizyakov</surname>
              <given-names>V. M.</given-names>
            </name>
          </name-alternatives>
          <email>Sizyakov_VM@pers.spmi.ru</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <aff-alternatives id="aff1">
          <aff>
            <institution xml:lang="ru">Санкт-Петербургский горный университет (Санкт-Петербург, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Saint-Petersburg Mining University (Saint-Petersburg, Russia)</institution>
          </aff>
        </aff-alternatives>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Litvinova</surname>
            <given-names>T. E.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Литвинова</surname>
              <given-names>Т. Е.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Litvinova</surname>
              <given-names>T. E.</given-names>
            </name>
          </name-alternatives>
          <email>Litvinova_TE@pers.spmi.ru</email>
          <xref ref-type="aff" rid="aff2"/>
        </contrib>
        <aff-alternatives id="aff2">
          <aff>
            <institution xml:lang="ru">Санкт-Петербургский горный университет (Санкт-Петербург, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Saint-Petersburg Mining University (Saint-Petersburg, Russia)</institution>
          </aff>
        </aff-alternatives>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Brichkin</surname>
            <given-names>V. N.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Бричкин</surname>
              <given-names>В. Н.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Brichkin</surname>
              <given-names>V. N.</given-names>
            </name>
          </name-alternatives>
          <email>brichkin52@mail.ru</email>
          <xref ref-type="aff" rid="aff3"/>
        </contrib>
        <aff-alternatives id="aff3">
          <aff>
            <institution xml:lang="ru">Санкт-Петербургский горный университет (Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Saint-Petersburg Mining University (Russia)</institution>
          </aff>
        </aff-alternatives>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Fedorov</surname>
            <given-names>A. T.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Федоров</surname>
              <given-names>А. Т.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Fedorov</surname>
              <given-names>A. T.</given-names>
            </name>
          </name-alternatives>
          <email>s185005@stud.spmi.ru</email>
          <xref ref-type="aff" rid="aff4"/>
        </contrib>
        <aff-alternatives id="aff4">
          <aff>
            <institution xml:lang="ru">Санкт-Петербургский горный университет (Санкт-Петербург, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Saint-Petersburg Mining University (Saint Petersburg, Russia)</institution>
          </aff>
        </aff-alternatives>
      </contrib-group>
      <pub-date pub-type="epub" iso-8601-date="2019-06-25">
        <day>25</day>
        <month>06</month>
        <year>2019</year>
      </pub-date>
      <pub-date date-type="collection">
        <year>2019</year>
      </pub-date>
      <volume>237</volume>
      <fpage>298</fpage>
      <lpage>306</lpage>
      <history>
        <date date-type="received" iso-8601-date="2018-12-28">
          <day>28</day>
          <month>12</month>
          <year>2018</year>
        </date>
        <date date-type="accepted" iso-8601-date="2019-03-24">
          <day>24</day>
          <month>03</month>
          <year>2019</year>
        </date>
        <date date-type="rev-recd" iso-8601-date="2019-06-25">
          <day>25</day>
          <month>06</month>
          <year>2019</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>© V. M. Sizyakov, T. E. Litvinova, V. N. Brichkin, A. T. Fedorov</copyright-statement>
        <copyright-year>2019</copyright-year>
        <copyright-holder xml:lang="ru">В. М. Сизяков, Т. Е. Литвинова, В. Н. Бричкин, А. Т. Федоров</copyright-holder>
        <copyright-holder xml:lang="en">V. M. Sizyakov, T. E. Litvinova, V. N. Brichkin, A. T. Fedorov</copyright-holder>
        <license xlink:href="http://creativecommons.org/licenses/by/4.0">
          <license-p>CC BY 4.0</license-p>
        </license>
      </permissions>
      <self-uri xlink:type="simple" xlink:href="https://pmi.spmi.ru/pmi/article/view/13208">https://pmi.spmi.ru/pmi/article/view/13208</self-uri>
      <abstract xml:lang="ru">
        <p>Равновесные и неравновесные состояния систем Na2O–Al2O3–H2O и K2O–Al2O3–H2O имеют определяющее значение для установления ключевых технологических показателей глиноземного производства и их оптимизации. Обоснована необходимость систематизации и статистической обработки данных о равновесии в указанных системах для создания достоверной базы их физико-химического состояния, анализа и математического моделирования фазовых равновесий вследствие заметного расхождения экспериментальных результатов и термодинамических расчетов по материалам отдельных исследователей. Выявлена тенденция к уменьшению степени гидратации твердых алюминатов натрия с ростом температуры и переходом систем из области устойчивого состояния гиббсита к равновесию с бемитом. Приведены аппроксимирующие функции, позволяющие с высокими показателями достоверности описать изотермы равновесия в технологически значимой области концентраций систем Na2O–Al2O3–H2O и K2O–Al2O3–H2O. Упрощение аппроксимирующей функции возможно путем деления изотерм равновесия на два участка с интервалами содержания щелочного реагента 0-0,25 и 0,25-0,4 моль/100 г раствора. Выявлены закономерности в ходе изотерм растворимости для систем Na2O–Al2O3–H2O и K2O–Al2O3–H2O, которые имеют удовлетворительное объяснение с позиций изменения ионного состава алюминатных растворов в зависимости от их концентрации и температуры, а также вследствие различий, связанных с гидратацией катиона щелочного металла, что имеет принципиальное значение для термодинамического моделирования рассмотренных равновесий.</p>
      </abstract>
      <abstract xml:lang="en">
        <p>Equilibrium and non-equilibrium states of systems Na2O–Al2O3–H2O and K2O–Al2O3–H2O are crucial for establishing key technological parameters in alumina production and their optimization. Due to a noticeable discrepancy between experimental results and thermodynamic calculations based on materials of individual researchers the necessity of systematization and statistical processing of equilibrium data in these systems to create a reliable base of their physicochemical state, analysis and mathematical modeling of phase equilibria is substantiated. The tendency to a decrease of the hydration degree of solid sodium aluminates with increasing temperature and the transition of systems from the steady state of gibbsite to equilibrium with boehmite is revealed. The paper contains approximating functions that provide high-precision description of equilibrium isotherms in technologically significant area of Na2O–Al2O3–H2O and K2O–Al2O3–H2O concentrations. Approximating function can be simplified by dividing the isotherm into two sections with the intervals of alkaline content 0-0.25 and 0.25-0.4 mole/100 g of solution. The differences in solubility isotherms for Na2O–Al2O3–H2O and K2O–Al2O3–H2O systems provide are associated with changes in the ionic composition solutions that depends on concentration and temperature, as well as differences connecting with alkali cation hydration, which is crucially important for thermodynamic modeling of equilibria under consideration.</p>
      </abstract>
      <kwd-group xml:lang="ru">
        <title>Ключевые слова</title>
        <kwd>системы глиноземного производства</kwd>
        <kwd>алюминатные растворы</kwd>
        <kwd>гиббсит</kwd>
        <kwd>бемит</kwd>
        <kwd>ионный состав</kwd>
        <kwd>изотермы равновесия</kwd>
        <kwd>анализ</kwd>
        <kwd>математическое моделирование</kwd>
      </kwd-group>
      <kwd-group xml:lang="en">
        <title>Keywords</title>
        <kwd>alumina industry systems</kwd>
        <kwd>aluminate solutions</kwd>
        <kwd>gibbsite</kwd>
        <kwd>boehmite</kwd>
        <kwd>ionic composition</kwd>
        <kwd>equilibrium isotherms</kwd>
        <kwd>analysis</kwd>
        <kwd>mathematical modeling</kwd>
      </kwd-group>
      <funding-group>
        <funding-statement xml:lang="ru">Работа проведена при финансовой поддержке Российского научного фонда по Соглашению No 18-19-00577 от 26.04.2018 о предоставлении гранта на проведение фундаментальных научных исследований и поисковых научных исследований</funding-statement>
        <funding-statement xml:lang="en">The study has been carried out with financial support from the Russian Science Foundation under the Agreement N18-19-00577 from 26.04.2018 on grant allocation for basic and exploratory scientific research</funding-statement>
      </funding-group>
    </article-meta>
  </front>
  <body/>
  <back>
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