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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">chemicallytech</journal-id><journal-title-group><journal-title xml:lang="en">Fine Chemical Technologies</journal-title><trans-title-group xml:lang="ru"><trans-title>Тонкие химические технологии</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2410-6593</issn><issn pub-type="epub">2686-7575</issn><publisher><publisher-name>MIREA – Russian Technological University (RTU MIREA).</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.32362/2410-6593-2020-15-5-54-62</article-id><article-id custom-type="elpub" pub-id-type="custom">chemicallytech-1650</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 TECHNOLOGY OF INORGANIC MATERIALS</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ХИМИЯ И ТЕХНОЛОГИЯ НЕОРГАНИЧЕСКИХ МАТЕРИАЛОВ</subject></subj-group></article-categories><title-group><article-title>Determining the phase stability of luminescent materials based on the solid solutions of oxyorthosilicates (Lu1−xLnx)[(SiO4)0.5O0.5], where Ln = La−Yb</article-title><trans-title-group xml:lang="ru"><trans-title>Определение фазовой стабильности люминесцентных материалов на основе твердых растворов оксиортосиликатов (Lu1−xLnx)[(SiO4)0.5O0.5], где Ln = La–Yb</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-7665-556X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Гетьман</surname><given-names>Е. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Get’man</surname><given-names>E. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Гетьман Евгений Иванович, доктор химических наук, профессор кафедры неорганической, органической и аналитической химии факультета химии, биологии и биотехнологий. Scopus Author ID 6602738183</p><p>Украина, 21021, Винница, ул. 600-летия, 21</p></bio><bio xml:lang="en"><p>Eugeni I. Get’man, Dr. of Sci. (Chemistry), Full Professor. Scopus Author ID 6602738183</p><p>21, vul. 600–richchia, Vinnytsia, 21021, Ukraine</p></bio><email xlink:type="simple">ie.getman@donnu.edu.ua</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-7328-6674</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Олексий</surname><given-names>Ю. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Oleksii</surname><given-names>Yu. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Олексий Юлия Анатольевна, магистрант, лаборант образовательно-научной лаборатории специальных методов исследования в аналитической химии факультета химии, биологии и биотехнологий</p><p>Украина, 21021, Винница, ул. 600-летия, 21</p></bio><bio xml:lang="en"><p>Yuliia A. Oleksii, Master Student, Laboratory Assistant of the Educational-Scientific Laboratory of Special Research Methods in Analytical Chemistry</p><p>21, vul. 600–richchia, Vinnytsia, 21021, Ukraine</p></bio><email xlink:type="simple">oleksii.i@donnu.edu.ua</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-9808-0392</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Радио</surname><given-names>С. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Radio</surname><given-names>S. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Радио Сергей Викторович, кандидат химических наук, заведующий научно-исследовательской частью, доцент кафедры неорганической, органической и аналитической химии факультета химии, биологии и биотехнологий. Scopus Author ID 12765904800, ResearcherID P-9022-2017</p><p>Украина, 21021, Винница, ул. 600-летия, 21</p></bio><bio xml:lang="en"><p>Serhii V. Radio, Cand. of Sci. (Chemistry), Head of the Department for Research, Associate Professor. Scopus Author ID 12765904800, ResearcherID P-9022-2017</p><p>21, vul. 600–richchia, Vinnytsia, 21021, Ukraine</p></bio><email xlink:type="simple">radio@donnu.edu.ua</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-8562-3113</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Арданова</surname><given-names>Л. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Ardanova</surname><given-names>L. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Арданова Людмила Ивановна, профессор кафедры химии и геологии. Scopus Author ID 7801510561</p><p>США, 56001, Миннесота, Манкейто, Форд Холл, 241</p></bio><bio xml:lang="en"><p>Lyudmyla I. Ardanova, Associate Professor. Scopus Author ID 7801510561</p><p>241 Ford Hall, Mankato, Minnesota, 56001, USA</p></bio><email xlink:type="simple">lyudmyla.stackpool@mnsu.edu</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Донецкий национальный университет им. Васыля Стуса</institution><country>Украина</country></aff><aff xml:lang="en"><institution>Department of Inorganic, Organic, and Analytical Chemistry, Faculty of Chemistry, Biology, and Biotechnologies, Vasyl’ Stus Donetsk National University</institution><country>Ukraine</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Государственный университет Миннесоты</institution><country>Соединённые Штаты Америки</country></aff><aff xml:lang="en"><institution>Department of Biochemistry, Chemistry, and Geology, Minnesota State University</institution><country>United States</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2020</year></pub-date><pub-date pub-type="epub"><day>14</day><month>11</month><year>2020</year></pub-date><volume>15</volume><issue>5</issue><fpage>54</fpage><lpage>62</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Get’man E.I., Oleksii Y.A., Radio S.V., Ardanova L.I., 2020</copyright-statement><copyright-year>2020</copyright-year><copyright-holder xml:lang="ru">Гетьман Е.И., Олексий Ю.А., Радио С.В., Арданова Л.И.</copyright-holder><copyright-holder xml:lang="en">Get’man E.I., Oleksii Y.A., Radio S.V., Ardanova L.I.</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://www.finechem-mirea.ru/jour/article/view/1650">https://www.finechem-mirea.ru/jour/article/view/1650</self-uri><abstract><sec><title>Objectives</title><p>Objectives. This study aimed to predict the limits of substitution and stability of luminescent materials based on low-temperature modifications of solid solutions (spatial group P21/c) with lutetium oxyorthosilicates (Lu1−xLnx)[(SiO4)0.5O0.5], where Ln represents the rare-earth elements (REEs) of the La–Yb series.</p></sec><sec><title>Methods</title><p>Methods. The V.S. Urusov’s crystal energy theory of isomorphous substitutions and a crystallochemical approach in the regular solid solution approximation were used to calculate the energies of the mixing (interaction parameters) of the solid solutions.</p></sec><sec><title>Results</title><p>Results. Using the V.S. Urusov’s theory, we calculated the energies of mixing (interaction parameters) in the systems under study. The dependences of the decomposition temperatures of solid solutions on the REE number and composition (x) were obtained and used to create a diagram of the thermodynamic stability of the solid solutions, allowing us to predict the substitution limits depending on the temperature or determine the decomposition temperature using the given substitution limits.</p></sec><sec><title>Conclusions</title><p>Conclusions. The results of the study can be useful when choosing the ratio of components in matrices (host materials) and the amount of the activator (dopant) in the new luminescent, laser, and other materials based on low-temperature modifications of solid solutions of “mixed” REE oxyorthosilicates (Lu1−xLnx)[(SiO4)0.5O0.5].</p></sec></abstract><trans-abstract xml:lang="ru"><sec><title>Цели</title><p>Цели. Целью работы явилось прогнозирование пределов замещения и стабильности люминесцентных материалов на основе низкотемпературных модификаций твердых растворов (пространственная группа Р21/с) на основе оксиортосиликата лютеция (Lu1−xLnx)[(SiO4)0.5O0.5], где Ln – редкоземельный элемент серии La–Yb.</p></sec><sec><title>Методы</title><p>Методы. Для расчета энергий смешения (параметров взаимодействия) для твердых растворов была использована теория изоморфной смесимости В.С. Урусова и кристаллохимический подход в приближении регулярного твердого раствора.</p></sec><sec><title>Результаты</title><p>Результаты. Получены зависимости температур распада твердых растворов от порядкового номера редкоземельных элементов и состава, которые использованы для построения диаграмм термодинамической устойчивости твердых растворов, что позволило прогнозировать пределы замещения в зависимости от температуры или определять температуру распада на основе заданных пределов замещения.</p></sec><sec><title>Выводы</title><p>Выводы. Результаты исследования могут быть полезны при выборе соотношения компонентов в матрице («хозяине») и количества активатора (допанта) в новых люминесцентных, лазерных и других материалах на основе низкотемпературных модификаций твердых растворов «смешанных» оксиортосиликатов редкоземельных элементов (Lu1−xLnx)[(SiO4)0.5O0.5].</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>оксиортосиликат</kwd><kwd>редкоземельные элементы</kwd><kwd>изоморфное замещение</kwd><kwd>твердый раствор</kwd><kwd>энергия смешения</kwd></kwd-group><kwd-group xml:lang="en"><kwd>oxyorthosilicate</kwd><kwd>rare-earth elements</kwd><kwd>isomorphous substitution</kwd><kwd>solid solution</kwd><kwd>energy of mixing</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Исследование выполнено в рамках Программы фундаментальных исследований Министерства образования и науки Украины (проекты №№ 0119U100025 и 0120U102059).</funding-statement><funding-statement xml:lang="en">This study was supported by the Fundamental Research Program funded by the Ministry of Education and Science of Ukraine (Projects Nos. 0119U100025 and 0120U102059); this article has been edited for English language and spelling by Enago, an editing brand of Crimson Interactive Inc.</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">Wang J., Tian S., Li G., Liao F., Jing X. 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