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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="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">pimi</journal-id><journal-title-group><journal-title xml:lang="ru">Приборы и методы измерений</journal-title><trans-title-group xml:lang="en"><trans-title>Devices and Methods of Measurements</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2220-9506</issn><issn pub-type="epub">2414-0473</issn><publisher><publisher-name>BNTU</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21122/2220-9506-2024-15-1-50-59</article-id><article-id custom-type="elpub" pub-id-type="custom">pimi-858</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>Методы измерений, контроля, диагностики</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Methods of measurements, monitoring, diagnostics</subject></subj-group></article-categories><title-group><article-title>Определение концентрации ионов Tm3+ и Ho3+ в стеклянной и кристаллической фазах в оксифторидной стеклокерамике в результате анализа спектров поглощения</article-title><trans-title-group xml:lang="en"><trans-title>Determination of the Concentration of Tm3+ and Ho3+ Ions in the Glass and Crystalline Phases in Oxyfluoride Glass Ceramics by Absorption Spectra Analysis</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Ясюкевич</surname><given-names>А. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Yasukevich</surname><given-names>A. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>НИЦ оптических материалов и технологий </p><p>Адрес для переписки:Ясюкевич А.С.НИЦ оптических материалов и технологий, БНТУ, пр-т Независимости, 65, г. Минск 220013, Беларусь e-mail: anatol@bntu.by</p></bio><bio xml:lang="en"><p>Research Center for Optical Materials and Technologies</p><p>Address for correspondence:Yasukevich А.S.Research Center for Optical Materials and Technologies, BNTU,Nezalezhnasti Ave., 65, Minsk 220013, Belarus e-mail: anatol@bntu.by</p></bio><email xlink:type="simple">anatol@bntu.by</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Кисель</surname><given-names>В. Э.</given-names></name><name name-style="western" xml:lang="en"><surname>Kisel</surname><given-names>V. E.</given-names></name></name-alternatives><bio xml:lang="ru"><p>НИЦ оптических материалов и технологий</p><p>пр-т Независимости, 65, г. Минск 220013,</p></bio><bio xml:lang="en"><p>Research Center for Optical Materials and Technologies</p><p>Nezalezhnasti Ave., 65, Minsk 220013</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Трусова</surname><given-names>Е. Е.</given-names></name><name name-style="western" xml:lang="en"><surname>Trusova</surname><given-names>E. E.</given-names></name></name-alternatives><bio xml:lang="ru"><p>ул. Свердлова, 13а, г. Минск 220006</p></bio><bio xml:lang="en"><p>Sverdlova Str., 13a, Minsk 220006</p></bio><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Рачковская</surname><given-names>Г. Е.</given-names></name><name name-style="western" xml:lang="en"><surname>Rachkovskaya</surname><given-names>G. E.</given-names></name></name-alternatives><bio xml:lang="ru"><p>ул. Свердлова, 13а, г. Минск 220006</p></bio><bio xml:lang="en"><p>Sverdlova Str., 13a, Minsk 220006</p></bio><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Захаревич</surname><given-names>Г. Б.</given-names></name><name name-style="western" xml:lang="en"><surname>Zakharevich</surname><given-names>G. B.</given-names></name></name-alternatives><bio xml:lang="ru"><p>ул. Свердлова, 13а, г. Минск 220006</p></bio><bio xml:lang="en"><p>Sverdlova Str., 13a, Minsk 220006</p></bio><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Подболотов</surname><given-names>К. Б.</given-names></name><name name-style="western" xml:lang="en"><surname>Podbolotov</surname><given-names>K. B.</given-names></name></name-alternatives><bio xml:lang="ru"><p>ул. Академика Купревича, 10, г. Минск 220084</p></bio><bio xml:lang="en"><p>Academician Kuprevich Str., 10, Minsk 220084</p></bio><xref ref-type="aff" rid="aff-3"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Гурин</surname><given-names>В. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Gurin</surname><given-names>V. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>ул. Ленинградская, 14, г. Минск 220006</p></bio><bio xml:lang="en"><p>Leningradskaya Str., 14, Minsk 220030</p></bio><xref ref-type="aff" rid="aff-4"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Белорусский национальный технический университет</institution><country>Беларусь</country></aff><aff xml:lang="en"><institution>Belarusian National Technical University</institution><country>Belarus</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Белорусский государственный технологический университет</institution><country>Беларусь</country></aff><aff xml:lang="en"><institution>Belarusian State Technological University</institution><country>Belarus</country></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru"><institution>Физико-технический институт Национальной академии наук Беларуси</institution><country>Беларусь</country></aff><aff xml:lang="en"><institution>Physical-Technical Institute of the National Academy of Sciences of Belarus</institution><country>Belarus</country></aff></aff-alternatives><aff-alternatives id="aff-4"><aff xml:lang="ru"><institution>НИИ Физико-химических проблем Белорусского государственного университета</institution><country>Беларусь</country></aff><aff xml:lang="en"><institution>Research Institute for Physical Chemical Problems, Belarusian State University</institution><country>Belarus</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>12</day><month>04</month><year>2024</year></pub-date><volume>15</volume><issue>1</issue><fpage>50</fpage><lpage>59</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Ясюкевич А.С., Кисель В.Э., Трусова Е.Е., Рачковская Г.Е., Захаревич Г.Б., Подболотов К.Б., Гурин В.С., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Ясюкевич А.С., Кисель В.Э., Трусова Е.Е., Рачковская Г.Е., Захаревич Г.Б., Подболотов К.Б., Гурин В.С.</copyright-holder><copyright-holder xml:lang="en">Yasukevich A.S., Kisel V.E., Trusova E.E., Rachkovskaya G.E., Zakharevich G.B., Podbolotov K.B., Gurin V.S.</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://pimi.bntu.by/jour/article/view/858">https://pimi.bntu.by/jour/article/view/858</self-uri><abstract><p>Оптическая стеклокерамика на основе оксифторидных стёкол, активированная ионами редкоземельных элементов, обладает привлекательными свойствами для разработки лазеров и усилителей в ближней инфракрасной области спектра, так как сочетает в себе свойства фторидных кристаллов с низкими частотами фононов и химические и механические свойства оксидных матриц. В стеклокерамических материалах спектроскопические свойства ионов-активаторов в кристаллической и стеклянной фазах могут иметь существенные различия. В этом случае спектральные методы исследования позволяют установить в какой степени примесные ионы распределяются между этими фазами. Целью данной работы являлась разработка спектрального метода определения концентрации ионов тулия и гольмия в кристаллической, PbF2, и стеклянной фазах стеклокерамик, полученных при вторичной тепловой обработке оксифторидных стёкол, активированных ионами Tm3+ и соактивированных ионами Tm3+ и Ho3+. В работе изучались спектроскопические характеристики оксифторидных стёкол, активированных ионами Tm3+ и соактивированных ионами Tm3+ и Ho3+, а также стеклокерамик, полученных из исходных стёкол в результате вторичной термообработки. Методами рентгенофазового анализа установлено, что при определённых условиях термообработки в них образуется кристаллическая фаза β-PbF2. Проведено сравнение спектров поглощения и и люминесценции примесных ионов Tm3+ и Ho3+в исходном стекле, в кристаллах β-PbF2 с их спектрами в стеклокерамике, и на основе этого предложен метод определения концентрации ионов в кристаллической и стеклянной фазах. Изучена зависимость распределения ионов Tm3+ и Ho3+ между стеклянной и кристаллической фазами в зависимости от режима вторичной термообработки стёкол.</p></abstract><trans-abstract xml:lang="en"><p>Optical glass ceramics based on oxyfluoride glasses activated by rare earth ions have attractive properties for development of lasers and near-infrared amplifiers, since they combine properties of fluoride crystals with low phonon frequencies and chemical and mechanical properties of oxide matrices. Spectroscopic properties of activator ions in crystalline and glass phases of glass-ceramics can differ significantly. Thus, it is possible to determine impurity ions’ distribution between these phases by means of absorption or luminescence spectra analysis. The main goal of this work was to develop a method for determining the concentration of Tm3+ and Ho3+ ions in the crystalline, PbF2 and glassy phases of glass ceramics after secondary thermal treatment of thulium-doped and thulium-holmium co-doped oxyfluoride glasses. Spectroscopic characteristics of oxyfluoride glasses activated by Tm3+ ions and co-activated by Tm3+ and Ho3+ ions, as well as glass ceramics obtained from the original glasses as a result of secondary heat treatment were studied. It was established by X-ray phase analysis method that under certain heat treatment conditions crystalline β-PbF2 phase is formed in those glasses. Absorption and luminescence spectra of Tm3+ and Ho3+ impurity ions in the original glass and in β-PbF2 crystals were compared with their ones in glass ceramics. A method for determining the concentration of ions in the crystalline and glass phases of glass ceramics was proposed on the basis of this comparison. Dependence of Tm3+ and Ho3+ ions distribution between the glass and crystalline phases on different regime of glasses' secondary heat treatment was studied.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>оксифторидная стеклокерамика</kwd><kwd>ионы Tm3+ и Ho3+</kwd><kwd>спектры поглощения и люминесценции</kwd></kwd-group><kwd-group xml:lang="en"><kwd>oxyfluoride glass ceramics</kwd><kwd>ions of Tm3+ and Ho3+</kwd><kwd>absorption and luminescence spectra</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">Hayashi H, Hanada T. 1.4 µm band emission properties of Tm3+ ions in transparent glass ceramics containing PbF2 nanocrystals for S-band amplifier. Journal of Applied Physics. 2001;89(2):1041-1045. DOI: 10.1063/1.1335645</mixed-citation><mixed-citation xml:lang="en">Hayashi H, Hanada T. 1.4 µm band emission properties of Tm3+ ions in transparent glass ceramics containing PbF2 nanocrystals for S-band amplifier. Journal of Applied Physics. 2001;89(2):1041-1045. DOI: 10.1063/1.1335645</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Tick PA, Borrelli NF, Cornelius LK, Newhouse MA. Transparent glass ceramics for 1300 nm amplifier applications. Journal of Applied Physics. 1995;78(11):6367-6374. DOI: 10.1063/1.360518</mixed-citation><mixed-citation xml:lang="en">Tick PA, Borrelli NF, Cornelius LK, Newhouse MA. Transparent glass ceramics for 1300 nm amplifier applications. Journal of Applied Physics. 1995;78(11):6367-6374. DOI: 10.1063/1.360518</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Goncalves MC, Santos LF, Almeida RM. Rareearth-doped transparent glass ceramics. Comptes Rendus Chimie. 2002;5(12):845-854. DOI: 10.1016/S1631-0748(02)01457-1</mixed-citation><mixed-citation xml:lang="en">Goncalves MC, Santos LF, Almeida RM. Rareearth-doped transparent glass ceramics. Comptes Rendus Chimie. 2002;5(12):845-854. DOI: 10.1016/S1631-0748(02)01457-1</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Tick PA, Borrelli NF, Reaney IM. The relationship between structure and transparency in glass-ceramic materials. Optical Materials. 2000;15(1):81-91. DOI: 10.1016/S0925-3467(00)00017-3</mixed-citation><mixed-citation xml:lang="en">Tick PA, Borrelli NF, Reaney IM. The relationship between structure and transparency in glass-ceramic materials. Optical Materials. 2000;15(1):81-91. DOI: 10.1016/S0925-3467(00)00017-3</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Mattarelli M, Tikhomirov VK, Seddon AB, Montagna M, Moser E, Chiasera A, Chaussedent S, Nunzi Conti G, Pelli S, Righini GC, Zampedri L, Ferrari M. Tm3+-activated transparent oxy-fluoride glass-ceramics: structural and spectroscopic properties. Journal of Non-Crystalline Solids. 2004;345&amp;346:354-358. DOI: 10.1016/j.jnoncrysol.2004.08.043</mixed-citation><mixed-citation xml:lang="en">Mattarelli M, Tikhomirov VK, Seddon AB, Montagna M, Moser E, Chiasera A, Chaussedent S, Nunzi Conti G, Pelli S, Righini GC, Zampedri L, Ferrari M. Tm3+-activated transparent oxy-fluoride glass-ceramics: structural and spectroscopic properties. Journal of Non-Crystalline Solids. 2004;345&amp;346:354-358. DOI: 10.1016/j.jnoncrysol.2004.08.043</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">De Pablos-Martin A, Patzig C, Hoche T, Duran A, Walsh BM, Barnes NP, Reichle DJ, Jiang S. Optical properties of Tm3+ ions in alkali germanate glass, Journal of Non-Crystalline Solids. 2006;352:5344-5352. DOI: 10.1016/j.jnoncrysol.2006.08.029</mixed-citation><mixed-citation xml:lang="en">De Pablos-Martin A, Patzig C, Hoche T, Duran A, Walsh BM, Barnes NP, Reichle DJ, Jiang S. Optical properties of Tm3+ ions in alkali germanate glass, Journal of Non-Crystalline Solids. 2006;352:5344-5352. DOI: 10.1016/j.jnoncrysol.2006.08.029</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">7. . Hirao K, Tanaka K, Makita M, Soga N. Preparation and optical properties of transparent glassceramics containing βPbF2:Tm3+. Journal of Applied Physics. 1995;78:3445-3450. DOI: 10.1063/1.359975</mixed-citation><mixed-citation xml:lang="en">7. . Hirao K, Tanaka K, Makita M, Soga N. Preparation and optical properties of transparent glassceramics containing βPbF2:Tm3+. Journal of Applied Physics. 1995;78:3445-3450. DOI: 10.1063/1.359975</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Tikhomirov VK, Furniss D, Seddon AB, Reaney IM. Beggiora M, Ferrari M, Montagna M, Rolli R. Fabrication and characterization of nanoscale, Er3+-doped, ultratransparent oxy-fluoride glass ceramics. Applied Physics Letters. 2002;81(11):1937-1939. DOI: 10.1063/1.1497196</mixed-citation><mixed-citation xml:lang="en">Tikhomirov VK, Furniss D, Seddon AB, Reaney IM. Beggiora M, Ferrari M, Montagna M, Rolli R. Fabrication and characterization of nanoscale, Er3+-doped, ultratransparent oxy-fluoride glass ceramics. Applied Physics Letters. 2002;81(11):1937-1939. DOI: 10.1063/1.1497196</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Samson BN, Tick PA, Borrelli NF. Efficient neodymium-doped glass-ceramic fiber laser and amplifier. Optics Letters. 2001;26(3):145-147. DOI: 10.1364/OL.26.000145</mixed-citation><mixed-citation xml:lang="en">Samson BN, Tick PA, Borrelli NF. Efficient neodymium-doped glass-ceramic fiber laser and amplifier. Optics Letters. 2001;26(3):145-147. DOI: 10.1364/OL.26.000145</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Vilejshikova EV, Loiko PA, Rachkovskaya GE, Zakharevich GB, Yumashev KV. Up-conversion luminescence in oxyfluoride glass-ceramics with PbF2:(Yb3+, Eu3+, RE3+) (RE = Tm, Ho, OR Er) nanocrystals. Journal of Applied Spectroscopy. 2016;83(5):723-729. DOI: 10.1007/s10812-016-0354-6</mixed-citation><mixed-citation xml:lang="en">Vilejshikova EV, Loiko PA, Rachkovskaya GE, Zakharevich GB, Yumashev KV. Up-conversion luminescence in oxyfluoride glass-ceramics with PbF2:(Yb3+, Eu3+, RE3+) (RE = Tm, Ho, OR Er) nanocrystals. Journal of Applied Spectroscopy. 2016;83(5):723-729. DOI: 10.1007/s10812-016-0354-6</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Yasukevich AS, Kuleshov NV, Rachkovskaya GE, Zakharevich GB, Trusova EE. The entry of thulium ions into the crystalline and glass phases in oxyfluoride glass ceramics, Proceedings of the 13th International Scientific and Technical Conference, Instrument Engineering 2020, Minsk, November 18-20, 2020. Belarusian National Technical University; editor: O.K. Gusev [and others]. Minsk, 2020;334-336.</mixed-citation><mixed-citation xml:lang="en">Yasukevich AS, Kuleshov NV, Rachkovskaya GE, Zakharevich GB, Trusova EE. The entry of thulium ions into the crystalline and glass phases in oxyfluoride glass ceramics, Proceedings of the 13th International Scientific and Technical Conference, Instrument Engineering 2020, Minsk, November 18-20, 2020. Belarusian National Technical University; editor: O.K. Gusev [and others]. Minsk, 2020;334-336.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Demesh MP, Gusakova NV, Yasukevich AS, Kuleshov NV, Grigor`ev SV, Krot YA, Kosmyna MV, Shekhovtsov AN. Application of Fuchtbauer-Ladenburgh equation and reciprocity method for determination of emission cross sections of Nd doped laser media. Devices and Methods of Measurements. 2015;6(2):211-219. (In Russ.).</mixed-citation><mixed-citation xml:lang="en">Demesh MP, Gusakova NV, Yasukevich AS, Kuleshov NV, Grigor`ev SV, Krot YA, Kosmyna MV, Shekhovtsov AN. Application of Fuchtbauer-Ladenburgh equation and reciprocity method for determination of emission cross sections of Nd doped laser media. Devices and Methods of Measurements. 2015;6(2):211-219. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Walsh BM, Barnes NP, Reichle DJ, Jiang S. Optical properties of Tm3+ ions in alkali germanate glass, Journal of Non-Crystalline Solids. 2006;352:5344-5352. DOI: 10.1016/j.jnoncrysol.2006.08.029</mixed-citation><mixed-citation xml:lang="en">Walsh BM, Barnes NP, Reichle DJ, Jiang S. Optical properties of Tm3+ ions in alkali germanate glass, Journal of Non-Crystalline Solids. 2006;352:5344-5352. DOI: 10.1016/j.jnoncrysol.2006.08.029</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Seshadri M, Ferencz Junior JAP, Ratnakaram YC, Barbosa LC. Spectroscopic properties of Ho3+, Tm3+ and Ho3+/Tm3+ doped tellurite glasses for fiber laser applications. Fiber Lasers XI: Technology, Systems, and Applications. 2014;8961, 896139 (pp. 1-10). DOI: 10.1117/12.2036876</mixed-citation><mixed-citation xml:lang="en">Seshadri M, Ferencz Junior JAP, Ratnakaram YC, Barbosa LC. Spectroscopic properties of Ho3+, Tm3+ and Ho3+/Tm3+ doped tellurite glasses for fiber laser applications. Fiber Lasers XI: Technology, Systems, and Applications. 2014;8961, 896139 (pp. 1-10). DOI: 10.1117/12.2036876</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Yin JG, Hang Y, He XH, Zhang LH, Zhao CC, Ma E, Gong J, Zhang PG. Transition intensities and excited state relaxation dynamics of Tm3+ in Tm:PbF2 crystal. Laser Physics. 2012;22(3):609-613. DOI: 10.1134/S1054660X12030279</mixed-citation><mixed-citation xml:lang="en">Yin JG, Hang Y, He XH, Zhang LH, Zhao CC, Ma E, Gong J, Zhang PG. Transition intensities and excited state relaxation dynamics of Tm3+ in Tm:PbF2 crystal. Laser Physics. 2012;22(3):609-613. DOI: 10.1134/S1054660X12030279</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Li Y, Zhao L, Fu Y, Shi Y, Zhang X, Yu H. Cubic to tetragonal phase transition of Tm3+ doped nanocrystals in oxyfluoride glass ceramics. AIP Advances. 2016;6:025001 (pp. 1-7). DOI: 10.1063/1.4941442</mixed-citation><mixed-citation xml:lang="en">Li Y, Zhao L, Fu Y, Shi Y, Zhang X, Yu H. Cubic to tetragonal phase transition of Tm3+ doped nanocrystals in oxyfluoride glass ceramics. AIP Advances. 2016;6:025001 (pp. 1-7). DOI: 10.1063/1.4941442</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Zhang P, Yin J, Zhang B, Zhang L, Hong J, He J, Hang Y. Intense 2.8 μm emission of Ho3+ doped PbF2 single crystal. Optics Letters. 2014;39(13):3942-3945. DOI: 10.1134/S1054660X12030279</mixed-citation><mixed-citation xml:lang="en">Zhang P, Yin J, Zhang B, Zhang L, Hong J, He J, Hang Y. Intense 2.8 μm emission of Ho3+ doped PbF2 single crystal. Optics Letters. 2014;39(13):3942-3945. DOI: 10.1134/S1054660X12030279</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Zhang P, Wan Y, Yin J, Zhang L, Liu Y, Hong J, Ning K, Chen Z, Wang X, Shi C, Hang Y. Low-phonon PbF2:Tm3+-doped crystal for 1.9 µm lasing. Laser Physics Letters. 2014;11:115802 (5 pp.) DOI: 10.1088/1612-2011/11/11/115802</mixed-citation><mixed-citation xml:lang="en">Zhang P, Wan Y, Yin J, Zhang L, Liu Y, Hong J, Ning K, Chen Z, Wang X, Shi C, Hang Y. Low-phonon PbF2:Tm3+-doped crystal for 1.9 µm lasing. Laser Physics Letters. 2014;11:115802 (5 pp.) DOI: 10.1088/1612-2011/11/11/115802</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Zhang P, Zhang L, Hong J, Wang Y, Chen G, Chen Z, Wang X, Shi C, Hang Y. Spectroscopic properties of Ho3+-doped PbF2 single crystal for 2 µm lasers. Optical Materials. 2015;46:389-392. DOI: 10.1016/j.optmat.2015.04.053</mixed-citation><mixed-citation xml:lang="en">Zhang P, Zhang L, Hong J, Wang Y, Chen G, Chen Z, Wang X, Shi C, Hang Y. Spectroscopic properties of Ho3+-doped PbF2 single crystal for 2 µm lasers. Optical Materials. 2015;46:389-392. DOI: 10.1016/j.optmat.2015.04.053</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Yasukevich AS, Rachkovskaya GE, Zakharevich GB, Trusova EE, Kornienko AA, Dunina EB, Kisel VE, Kuleshov NV. Spectral-luminescence properties of oxyfluoride lead-silicate-germanate glass doped with Tm3+ ions. Journal of Luminescence. 2021;229:117667(1- 8). DOI: 10.1016/j.jlumin.2020.117667</mixed-citation><mixed-citation xml:lang="en">Yasukevich AS, Rachkovskaya GE, Zakharevich GB, Trusova EE, Kornienko AA, Dunina EB, Kisel VE, Kuleshov NV. Spectral-luminescence properties of oxyfluoride lead-silicate-germanate glass doped with Tm3+ ions. Journal of Luminescence. 2021;229:117667(1- 8). DOI: 10.1016/j.jlumin.2020.117667</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Kolda TG, Lewis RM, Torczon V. Optimization by Direct Search: New Perspectives on Some Classical and Modern Methods, SIAM REVIEW. 2003;45(3):385- 482. DOI: 10.1137/S0036144502428893</mixed-citation><mixed-citation xml:lang="en">Kolda TG, Lewis RM, Torczon V. Optimization by Direct Search: New Perspectives on Some Classical and Modern Methods, SIAM REVIEW. 2003;45(3):385- 482. DOI: 10.1137/S0036144502428893</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Dyussembekova S, Trusova E, Kichanov S, Podbolotov K, Kozlenko D. A Study of PbF2 Nanoparticles Crystallization Mechanism in Mixed Oxyde-Fluoride Glasses, Ceramics. 2023;6:1508-1516. DOI: 10.3390/ceramics6030093</mixed-citation><mixed-citation xml:lang="en">Dyussembekova S, Trusova E, Kichanov S, Podbolotov K, Kozlenko D. A Study of PbF2 Nanoparticles Crystallization Mechanism in Mixed Oxyde-Fluoride Glasses, Ceramics. 2023;6:1508-1516. DOI: 10.3390/ceramics6030093</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>
