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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">10.17586/2220-8054-2020-11-3-345-354</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-433</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="en"><subject>CHEMISTRY AND MATERIALS SCIENCE</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ХИМИЯ И НАУКА О МАТЕРИАЛАХ</subject></subj-group></article-categories><title-group><article-title>3D computer models of the T-x-y diagrams, forming the LiF–NaF–CaF2–LaF3 T-x-y-z diagram</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>Vorob’eva</surname><given-names>V. P.</given-names></name></name-alternatives><bio xml:lang="en"><p>6, Sakhyanova str., Ulan-Ude, 670047</p></bio><email xlink:type="simple">vvorobjeva@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>Zelenaya</surname><given-names>A. E.</given-names></name></name-alternatives><bio xml:lang="en"><p>6, Sakhyanova str., Ulan-Ude, 670047</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Lutsyk</surname><given-names>V. I.</given-names></name></name-alternatives><bio xml:lang="en"><p>6, Sakhyanova str., Ulan-Ude, 670047</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Lamueva</surname><given-names>M. V.</given-names></name></name-alternatives><bio xml:lang="en"><p>6, Sakhyanova str., Ulan-Ude, 670047</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>Institute of Physical Materials Science SB RAS</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2020</year></pub-date><pub-date pub-type="epub"><day>30</day><month>07</month><year>2025</year></pub-date><volume>11</volume><issue>3</issue><elocation-id>345–354</elocation-id><permissions><copyright-statement>Copyright &amp;#x00A9; Vorob’eva V.P., Zelenaya A.E., Lutsyk V.I., Lamueva M.V., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Vorob’eva V.P., Zelenaya A.E., Lutsyk V.I., Lamueva M.V.</copyright-holder><copyright-holder xml:lang="en">Vorob’eva V.P., Zelenaya A.E., Lutsyk V.I., Lamueva M.V.</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/433">https://nanojournal.ifmo.ru/jour/article/view/433</self-uri><abstract><p>Giving professor P.P. Fedorov his due as the leading specialist in fluoride systems and using his theoretical investigations on the topology and geometry of phase diagrams of binary and ternary fluoride systems, as well as experimental results, obtained by colleagues under his leadership, the total geometric description of the systems, forming the LiF–NaF–CaF2–LaF3 system, which has considerable promise for the development of fourth generation fuels for nuclear reactors, has been received. For this purpose, three-dimensional computer models of all four ternary systems have been constructed and the T-x-y-z diagram of this fluoride system has been predicted.</p></abstract><kwd-group xml:lang="en"><kwd>phase diagram</kwd><kwd>computer model</kwd><kwd>four-dimensional visualization</kwd><kwd>lithium fluoride</kwd><kwd>sodium fluoride</kwd><kwd>calcium fluoride</kwd><kwd>lanthanum fluoride</kwd></kwd-group><funding-group><funding-statement xml:lang="en">This work was been performed under the program of fundamental research SB RAS (project 0336-2019-0008) and it was partially supported by the RFBR projects 19-38-90035, 20-21-00056.</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Benes O., Konings R.J.M. 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