<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<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">10.17586/2220-8054-2024-15-1-65-79</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-65</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 MATERIAL SCIENCE</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ХИМИЯ И МАТЕРИАЛОВЕДЕНИЕ</subject></subj-group></article-categories><title-group><article-title>Equilibrium of intrinsic and impurity point defects in Ca-doped Sm2Zr2O7</article-title><trans-title-group xml:lang="ru"><trans-title>Равновесие собственных и примесных точечных дефектов в кальций-допированном Sm2Zr2O7</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-0247-6198</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Воротников</surname><given-names>В. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Vorotnikov</surname><given-names>V. A.</given-names></name></name-alternatives><bio xml:lang="en"><p>Vladimir A. Vorotnikov</p><p>Kirov, 610000; Novosibirsk, 630090</p></bio><email xlink:type="simple">vorotnikov130@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-9237-8307</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Беляков</surname><given-names>С. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Belyakov</surname><given-names>S. A.</given-names></name></name-alternatives><bio xml:lang="en"><p>Semyon A. Belyakov</p><p>Yekaterinburg 620137</p></bio><email xlink:type="simple">bca2@mail.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-7666-831X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Иванов</surname><given-names>А. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Ivanov</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="en"><p>Alexey V. Ivanov</p><p>Kirov 610000; Novosibirsk, 630090</p></bio><email xlink:type="simple">alehaww@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-0369-3274</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Новикова</surname><given-names>Ю. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Novikova</surname><given-names>Yu. V.</given-names></name></name-alternatives><bio xml:lang="en"><p>Yulia V. Novikova</p><p>Yekaterinburg 620137</p></bio><email xlink:type="simple">meryl18@mail.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-6772-3321</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Строева</surname><given-names>А. Ю.</given-names></name><name name-style="western" xml:lang="en"><surname>Stroeva</surname><given-names>A. Yu.</given-names></name></name-alternatives><bio xml:lang="en"><p>Anna Yu. Stroeva</p><p>Kirov 610000</p></bio><email xlink:type="simple">stroevaanna@yandex.ru</email><xref ref-type="aff" rid="aff-3"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-5484-4642</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Гребенев</surname><given-names>В. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Grebenev</surname><given-names>V. V.</given-names></name></name-alternatives><bio xml:lang="en"><p>Vadim V. Grebenev</p><p>Moscow 119333</p></bio><email xlink:type="simple">vadimgrebenev@mail.ru</email><xref ref-type="aff" rid="aff-4"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-0894-5087</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Хмеленин</surname><given-names>Д. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Khmelenin</surname><given-names>D. N.</given-names></name></name-alternatives><bio xml:lang="en"><p>Dmitry N. Khmelenin</p><p>Moscow 119333</p></bio><email xlink:type="simple">xorrunn@gmail.com</email><xref ref-type="aff" rid="aff-4"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-3951-8985</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Емельянова</surname><given-names>О. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Emelyanova</surname><given-names>O. V.</given-names></name></name-alternatives><bio xml:lang="en"><p>Olga V. Emelyanova</p><p>Moscow 119333</p></bio><email xlink:type="simple">eolga@bk.ru</email><xref ref-type="aff" rid="aff-4"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-2701-4619</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Плеханов</surname><given-names>М. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Plekhanov</surname><given-names>M. S.</given-names></name></name-alternatives><bio xml:lang="en"><p>Maksim S. Plekhanov</p><p>Aachen 52066</p></bio><email xlink:type="simple">plexanovmax@mail.ru</email><xref ref-type="aff" rid="aff-5"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-0700-662X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Кузьмин</surname><given-names>А. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Kuzmin</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="en"><p>Anton V. Kuzmin</p><p>Kirov 610000; Novosibirsk, 630090</p></bio><email xlink:type="simple">a.v.kuzmin@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>Institute of Chemistry and Ecology, Vyatka State University; Institute of Solid-State Chemistry and Mechanochemistry SB RAS</institution><country>Russian Federation</country></aff><aff xml:lang="en" id="aff-2"><institution>Institute of High-Temperature Electrochemistry UB RAS</institution><country>Russian Federation</country></aff><aff xml:lang="en" id="aff-3"><institution>Institute of Chemistry and Ecology, Vyatka State University</institution><country>Russian Federation</country></aff><aff xml:lang="en" id="aff-4"><institution>Shubnikov Institute of Crystallography of Federal Scientific Research Centre “Crystallography and Photonics” of the RAS</institution><country>Russian Federation</country></aff><aff xml:lang="en" id="aff-5"><institution>Institute of Crystallography, RWTH Aachen University</institution><country>Germany</country></aff><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>31</day><month>05</month><year>2025</year></pub-date><volume>15</volume><issue>1</issue><fpage>65</fpage><lpage>79</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Vorotnikov V.A., Belyakov S.A., Ivanov A.V., Novikova Y.V., Stroeva A.Y., Grebenev V.V., Khmelenin D.N., Emelyanova O.V., Plekhanov M.S., Kuzmin A.V., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Воротников В.А., Беляков С.А., Иванов А.В., Новикова Ю.В., Строева А.Ю., Гребенев В.В., Хмеленин Д.Н., Емельянова О.В., Плеханов М.С., Кузьмин А.В.</copyright-holder><copyright-holder xml:lang="en">Vorotnikov V.A., Belyakov S.A., Ivanov A.V., Novikova Y.V., Stroeva A.Y., Grebenev V.V., Khmelenin D.N., Emelyanova O.V., Plekhanov M.S., Kuzmin A.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/65">https://nanojournal.ifmo.ru/jour/article/view/65</self-uri><abstract><p>In this work, a doping strategy was used to achieve a good conductivity in samarium zirconate which crystallizes in the pyrochlore. The production of nanopowders made it possible to form high-density ceramics with an optimal microstructure. It is shown that intrinsic and impurity defects coexist in Sm2−xCaxZr2O7−δ, impairing ion transport at high doping levels. Despite this, Sm1.95Ca0.05Zr2O7−δ maintains low activation energy of the parent and has good ionic conductivity (10−3 S·cm−1 at 600 ◦C) which is one of the largest among oxide pyrochlores. It has been shown to have a good chemical stability. The material has a thermal expansion coefficient (TEC) of 12 ppm K−1 which is higher than YSZ and provides better compatibility with electrode materials. The above makes it possible to successfully use it as a highly stable oxygen electrolyte or an intermediate thin layer at the electrolyte-electrode interface in electrochemical devices.</p></abstract><trans-abstract xml:lang="ru"><p>В данной работе для достижения хорошей проводимости цирконата самария со структурой пирохлора использован подход допирования. Полученные наноразмерные порошки были спечены в высокоплотную керамику. Показано, что в Sm2-xCaxZr2O7−δ присутствуют как собственные, так и примесные дефекты, блокируя перенос ионов при высоких степенях добавки. Несмотря на это, Sm1.95Ca0.05Zr2O7−δ сохраняет низкую энергию активации как у недопированного материала и обладает хорошей ионной проводимостью (10-3 S cm-1 at 600 °C), которая является одной из самых высоких среди пирохлоров. Было доказано, что данный состав обладает хорошей химической стабильностью. Материал имеет коэффициент теплового расширения около 12∙10-6 K-1, который выше, чем у YSZ, что обеспечивает лучшую совместимость с электродными материалами. Все вышесказанное позволяет рекомендовать данный состав в качестве высокостабильного кислородного электролита или промежуточного тонкого слоя на границе раздела электролит-электрод в электрохимических устройствах.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>твердооксидный электролит</kwd><kwd>пирохлоры</kwd><kwd>гранично-зеренная проводимость</kwd><kwd>нанопорошки</kwd><kwd>метод сжигания</kwd></kwd-group><kwd-group xml:lang="en"><kwd>solid oxide electrolyte</kwd><kwd>pyrochlores</kwd><kwd>grain boundary conductivity</kwd><kwd>nanoscale powders</kwd><kwd>combustion method</kwd></kwd-group><funding-group><funding-statement xml:lang="en">The research was partially supported by the Russian Science Foundation (Grant No. 22-23-01121)</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">Wu J., Wei X., Padture N.P., Klemens P.G., Gell M., Garcia E., Miranzo P., Osendi M.I. Low-Thermal-Conductivity Rare-Earth Zirconates for Potential Thermal-Barrier-Coating Applications. J. Am. Ceram. Soc.., 2002, 85 (12), P. 3031–3035.</mixed-citation><mixed-citation xml:lang="en">Wu J., Wei X., Padture N.P., Klemens P.G., Gell M., Garcia E., Miranzo P., Osendi M.I. Low-Thermal-Conductivity Rare-Earth Zirconates for Potential Thermal-Barrier-Coating Applications. J. Am. Ceram. Soc.., 2002, 85 (12), P. 3031–3035.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Wan C.L., Pan W., Xu Q., Qin Y.X., Wang J.D., Qu Z.X., Fang M.H. Effect of point defects on the thermal transport properties of (LaxGd1−x)2Zr2O7: Experiment and theoretical model. Phys. Rev. B, 2006, 74 (14), 144109.</mixed-citation><mixed-citation xml:lang="en">Wan C.L., Pan W., Xu Q., Qin Y.X., Wang J.D., Qu Z.X., Fang M.H. Effect of point defects on the thermal transport properties of (LaxGd1−x)2Zr2O7: Experiment and theoretical model. Phys. Rev. B, 2006, 74 (14), 144109.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Shin D., Shin H.G., Lee H., Thermodynamic investigation of the (La1−xGdx)2Zr2O7 pyrochlore phase. Calphad, 2014, 45, P. 27–32.</mixed-citation><mixed-citation xml:lang="en">Shin D., Shin H.G., Lee H., Thermodynamic investigation of the (La1−xGdx)2Zr2O7 pyrochlore phase. Calphad, 2014, 45, P. 27–32.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Schmitt M.P., Rai A.K., Bhattacharya R., Zhu D., Wolfe D.E. Multilayer thermal barrier coating (TBC) architectures utilizing rare earth doped YSZ and rare earth pyrochlores. Surf. Coat. Technol., 2014, 251, P. 56–63.</mixed-citation><mixed-citation xml:lang="en">Schmitt M.P., Rai A.K., Bhattacharya R., Zhu D., Wolfe D.E. Multilayer thermal barrier coating (TBC) architectures utilizing rare earth doped YSZ and rare earth pyrochlores. Surf. Coat. Technol., 2014, 251, P. 56–63.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Zhang J., Guo X., Jung Y.G., Li L., Knapp J. Lanthanum zirconate based thermal barrier coatings: A review. Surf. Coat. Technol., 2017, 323, P. 18–29.</mixed-citation><mixed-citation xml:lang="en">Zhang J., Guo X., Jung Y.G., Li L., Knapp J. Lanthanum zirconate based thermal barrier coatings: A review. Surf. Coat. Technol., 2017, 323, P. 18–29.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Mathanbabu M., Thirumalaikumarasamy D., Thirumal P., Ashokkumar M. Study on thermal, mechanical, microstructural properties and failure analyses of lanthanum zirconate based thermal barrier coatings: A review. Mater. Today Proc., 2021, 46 (17), P. 7948–7954.</mixed-citation><mixed-citation xml:lang="en">Mathanbabu M., Thirumalaikumarasamy D., Thirumal P., Ashokkumar M. Study on thermal, mechanical, microstructural properties and failure analyses of lanthanum zirconate based thermal barrier coatings: A review. Mater. Today Proc., 2021, 46 (17), P. 7948–7954.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Anokhina I.A., Animitsa I.E., Buzina A.F., Nokhrin S.S., Zaikov Y.P., Voronin V.I., Vykhodets, V.B. Kurennykh, T.E. Kazakova, V.N. Electrical properties of Li+-substituted solid solutions based on Gd2Zr2O7. Russ. J. Phys. Chem. A, 2021, 95, P. 2426–2431.</mixed-citation><mixed-citation xml:lang="en">Anokhina I.A., Animitsa I.E., Buzina A.F., Nokhrin S.S., Zaikov Y.P., Voronin V.I., Vykhodets, V.B. Kurennykh, T.E. Kazakova, V.N. Electrical properties of Li+-substituted solid solutions based on Gd2Zr2O7. Russ. J. Phys. Chem. A, 2021, 95, P. 2426–2431.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Anokhina I.A., Animitsa I.E., Voronin V.I., Vykhodets V.B., Kurennykh T.E., Molchanova N.G., Vylkov A.I., Dedyukhin A.E., Zaikov Y.P. The structure and electrical properties of lithium doped pyrochlore Gd2Zr2O7. Ceram. Int., 2021, 47, P. 1949–1961.</mixed-citation><mixed-citation xml:lang="en">Anokhina I.A., Animitsa I.E., Voronin V.I., Vykhodets V.B., Kurennykh T.E., Molchanova N.G., Vylkov A.I., Dedyukhin A.E., Zaikov Y.P. The structure and electrical properties of lithium doped pyrochlore Gd2Zr2O7. Ceram. Int., 2021, 47, P. 1949–1961.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Anokhina I., Pavlenko O., Proskurnina N., Dedyukhin A., Animitsa I. The Gd2−xMgxZr2O7−x/2 Solid Solution: Ionic Conductivity and Chemical Stability in the Melt of LiCl–Li2O. Materials, 2022, 15, 4079.</mixed-citation><mixed-citation xml:lang="en">Anokhina I., Pavlenko O., Proskurnina N., Dedyukhin A., Animitsa I. The Gd2−xMgxZr2O7−x/2 Solid Solution: Ionic Conductivity and Chemical Stability in the Melt of LiCl–Li2O. Materials, 2022, 15, 4079.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Sickafus K.E., Mimervini L., Grimes R.W., Valdez J.A., Ishimaru M., Li F., McClellan K.J. Hartmann, T. Radiation tolerance of complex oxides. Science, 2000, 289 (5480), P. 748–751.</mixed-citation><mixed-citation xml:lang="en">Sickafus K.E., Mimervini L., Grimes R.W., Valdez J.A., Ishimaru M., Li F., McClellan K.J. Hartmann, T. Radiation tolerance of complex oxides. Science, 2000, 289 (5480), P. 748–751.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Wang S.X., Begg B.D., Wang L.M., Ewing R.C., Weber W.J., Govidan Kutty K.V. Radiation stability of gadolinium zirconate: a waste form for plutonium disposition, J. Mater. Res., 1999, 14, P. 4470–4473.</mixed-citation><mixed-citation xml:lang="en">Wang S.X., Begg B.D., Wang L.M., Ewing R.C., Weber W.J., Govidan Kutty K.V. Radiation stability of gadolinium zirconate: a waste form for plutonium disposition, J. Mater. Res., 1999, 14, P. 4470–4473.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Wuensch B.J., Eberman K.W., Heremans C., Ku E.M., Onnerud P., Yeo E.M.E., Haile S.M., Stalick J.K., Jorgensen J.D. Connection between oxygen-ion conductivity of pyrochlore fuel-cell materials and structural change with composition and temperature. Solid State Ion, 2000, 129, P. 111–133.</mixed-citation><mixed-citation xml:lang="en">Wuensch B.J., Eberman K.W., Heremans C., Ku E.M., Onnerud P., Yeo E.M.E., Haile S.M., Stalick J.K., Jorgensen J.D. Connection between oxygen-ion conductivity of pyrochlore fuel-cell materials and structural change with composition and temperature. Solid State Ion, 2000, 129, P. 111–133.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Anantharaman A.P., Dasari H.P. Potential of pyrochlore structure materials in solid oxide fuel cell applications. Ceram. Int., 2021, 47, P. 4367– 4388.</mixed-citation><mixed-citation xml:lang="en">Anantharaman A.P., Dasari H.P. Potential of pyrochlore structure materials in solid oxide fuel cell applications. Ceram. Int., 2021, 47, P. 4367– 4388.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Mandal B.P., Tyagi A.K. Ionic conductivity in materials with a pyrochlore structure. In Pyrochlore Ceramics: Properties, Processing, and Applications, Elsevier Series on Advanced Ceramic Materials, Chowdhury A., Ed., Elsevier: Amsterdam, Netherlands, 2022, 7, P. 277–294.</mixed-citation><mixed-citation xml:lang="en">Mandal B.P., Tyagi A.K. Ionic conductivity in materials with a pyrochlore structure. In Pyrochlore Ceramics: Properties, Processing, and Applications, Elsevier Series on Advanced Ceramic Materials, Chowdhury A., Ed., Elsevier: Amsterdam, Netherlands, 2022, 7, P. 277–294.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Van Dijk M.P., Burggraaf A.J., Cormack A.N., Catlow C.R.A. Defect structures and migration mechanisms in oxide pyrochlores. Solid State Ion, 1985, 17 (2), P. 159–167.</mixed-citation><mixed-citation xml:lang="en">Van Dijk M.P., Burggraaf A.J., Cormack A.N., Catlow C.R.A. Defect structures and migration mechanisms in oxide pyrochlores. Solid State Ion, 1985, 17 (2), P. 159–167.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Tabira Y., Withers R., Thompson J., Schmid S. Structured diffuse scattering as an indicator of inherent cristobalite-like displacive flexibility in the rare earth zirconate pyrochlore LaδZr1−δO2−δ/2, 0.49 &lt; δ &lt; 0.51. J. Solid State Chem., 1999, 142, P. 393–399.</mixed-citation><mixed-citation xml:lang="en">Tabira Y., Withers R., Thompson J., Schmid S. Structured diffuse scattering as an indicator of inherent cristobalite-like displacive flexibility in the rare earth zirconate pyrochlore LaδZr1−δO2−δ/2, 0.49 &lt; δ &lt; 0.51. J. Solid State Chem., 1999, 142, P. 393–399.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Whittle K.R., Cranswick L.M.D., Redfern S.A.T., Swainson I.P., Lumpkin G.R. Lanthanum pyrochlores and the effect of yttrium addition in the systems La2−xYxZr2O7 and La2−xYxHf2O7. J. Solid State Chem., 2009, 182, P. 442–450.</mixed-citation><mixed-citation xml:lang="en">Whittle K.R., Cranswick L.M.D., Redfern S.A.T., Swainson I.P., Lumpkin G.R. Lanthanum pyrochlores and the effect of yttrium addition in the systems La2−xYxZr2O7 and La2−xYxHf2O7. J. Solid State Chem., 2009, 182, P. 442–450.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Blanchard P.E.R., Clements R., Kennedy B.J., Ling C.D., Reynolds E., Avdeev M., Stampfl A.P.J., Zhang Z., Jang L.Y. Does local disorder occur in the pyrochlore zirconates? Inorg. Chem., 2012, 51, P. 13237–13244.</mixed-citation><mixed-citation xml:lang="en">Blanchard P.E.R., Clements R., Kennedy B.J., Ling C.D., Reynolds E., Avdeev M., Stampfl A.P.J., Zhang Z., Jang L.Y. Does local disorder occur in the pyrochlore zirconates? Inorg. Chem., 2012, 51, P. 13237–13244.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Hagiwara T., Yamamura H., Nishino H. Relationship between oxide-ion conductivity and ordering of oxygen vacancy in the Ln2Zr2O7 (Ln = La, Nd, Eu) system having a pyrochlore composition. IOP Conf. Series: Materials Science and Engineering, 2011, 18, 132003.</mixed-citation><mixed-citation xml:lang="en">Hagiwara T., Yamamura H., Nishino H. Relationship between oxide-ion conductivity and ordering of oxygen vacancy in the Ln2Zr2O7 (Ln = La, Nd, Eu) system having a pyrochlore composition. IOP Conf. Series: Materials Science and Engineering, 2011, 18, 132003.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Van Dijk M.P., de Vries K.J., Burggraaf A.J. Oxygen ion and mixed conductivity in compounds with the fluorite and pyrochlore structure. Solid State Ion, 1983, 9&amp;10, P. 913–920.</mixed-citation><mixed-citation xml:lang="en">Van Dijk M.P., de Vries K.J., Burggraaf A.J. Oxygen ion and mixed conductivity in compounds with the fluorite and pyrochlore structure. Solid State Ion, 1983, 9&amp;10, P. 913–920.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Wilde P.J., Catlow C.R.A. Defects and diffusion in pyrochlore structured oxides. Solid State Ion, 1998, 112, P. 173–183.</mixed-citation><mixed-citation xml:lang="en">Wilde P.J., Catlow C.R.A. Defects and diffusion in pyrochlore structured oxides. Solid State Ion, 1998, 112, P. 173–183.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Pirzada M., Grimes R.W., Minervini L., Maguire J.F., Sickafus K.E. Oxygen migration in A2B2O7 pyrochlores. Solid State Ion, 2001, 140, P. 201–208.</mixed-citation><mixed-citation xml:lang="en">Pirzada M., Grimes R.W., Minervini L., Maguire J.F., Sickafus K.E. Oxygen migration in A2B2O7 pyrochlores. Solid State Ion, 2001, 140, P. 201–208.</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Nyman B.J., Bjo¨rketun M.E., Wahnstro¨m G. Substitutional doping and oxygen vacancies in La2Zr2O7 pyrochlore oxide. Solid State Ion, 2011, 189, P. 19–28.</mixed-citation><mixed-citation xml:lang="en">Nyman B.J., Bjo¨rketun M.E., Wahnstro¨m G. Substitutional doping and oxygen vacancies in La2Zr2O7 pyrochlore oxide. Solid State Ion, 2011, 189, P. 19–28.</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Li Y., Kowalski P.M. Energetics of defects formation and oxygen migration in pyrochlore compounds from first principles calculations, J. Nucl. Mater., 2018, 505, P. 255–261.</mixed-citation><mixed-citation xml:lang="en">Li Y., Kowalski P.M. Energetics of defects formation and oxygen migration in pyrochlore compounds from first principles calculations, J. Nucl. Mater., 2018, 505, P. 255–261.</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Minervini L., Grimes R.W., Sickafus K.E. Disorder in pyrochlore oxides. J. Am. Ceram. Soc., 2000, 83, P. 1873–1878.</mixed-citation><mixed-citation xml:lang="en">Minervini L., Grimes R.W., Sickafus K.E. Disorder in pyrochlore oxides. J. Am. Ceram. Soc., 2000, 83, P. 1873–1878.</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Shlyakhtina A.V., Savvin S.N., Levchenko A.V., Knotko A.V., Fedtke P., Busch A., Barfels T., Wienecke M., Shcherbakova L.G. Study of bulk and grain-boundary conductivity of Ln2+xHf2−xO7−δ (Ln = Sm–Gd, x = 0, 0.096) pyrochlores. J. Electroceram., 2010, 24, P. 300–307.</mixed-citation><mixed-citation xml:lang="en">Shlyakhtina A.V., Savvin S.N., Levchenko A.V., Knotko A.V., Fedtke P., Busch A., Barfels T., Wienecke M., Shcherbakova L.G. Study of bulk and grain-boundary conductivity of Ln2+xHf2−xO7−δ (Ln = Sm–Gd, x = 0, 0.096) pyrochlores. J. Electroceram., 2010, 24, P. 300–307.</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">Li Y., Kowalski P.M., Beridze G., Birnie A.R., Finkeldei S., Bosbach D. Defect formation energies in A2B2O7 pyrochlores. Scr. Mater., 2015, 107, P. 18–21.</mixed-citation><mixed-citation xml:lang="en">Li Y., Kowalski P.M., Beridze G., Birnie A.R., Finkeldei S., Bosbach D. Defect formation energies in A2B2O7 pyrochlores. Scr. Mater., 2015, 107, P. 18–21.</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">Marlton F.P., Zhang Z., Zhang Y., Proffen T.E., Ling C.D., Kennedy B.J. Lattice Disorder and Oxygen Migration Pathways in Pyrochlore and Defect-Fluorite Oxides. Chem. Mater., 2021, 33, P. 1407–1415.</mixed-citation><mixed-citation xml:lang="en">Marlton F.P., Zhang Z., Zhang Y., Proffen T.E., Ling C.D., Kennedy B.J. Lattice Disorder and Oxygen Migration Pathways in Pyrochlore and Defect-Fluorite Oxides. Chem. Mater., 2021, 33, P. 1407–1415.</mixed-citation></citation-alternatives></ref><ref id="cit29"><label>29</label><citation-alternatives><mixed-citation xml:lang="ru">Zhang F.X., Lang M., Ewing R.C. Atomic disorder in Gd2Zr2O7 pyrochlore. Appl. Phys. Lett., 2015, 106, 191902.</mixed-citation><mixed-citation xml:lang="en">Zhang F.X., Lang M., Ewing R.C. Atomic disorder in Gd2Zr2O7 pyrochlore. Appl. Phys. Lett., 2015, 106, 191902.</mixed-citation></citation-alternatives></ref><ref id="cit30"><label>30</label><citation-alternatives><mixed-citation xml:lang="ru">D´ıaz-Guille´n J.A., D´ıaz-Guille´n M.R., Padmasree K.P., Fuentes A.F., Santamar´ıa J., Leo´n C. High ionic conductivity in the pyrochlore-type Gd2−yLayZr2O7 solid solution (0 ≤ y ≤ 1). Solid State Ion, 2008, 179, P. 2160–2164.</mixed-citation><mixed-citation xml:lang="en">D´ıaz-Guille´n J.A., D´ıaz-Guille´n M.R., Padmasree K.P., Fuentes A.F., Santamar´ıa J., Leo´n C. High ionic conductivity in the pyrochlore-type Gd2−yLayZr2O7 solid solution (0 ≤ y ≤ 1). Solid State Ion, 2008, 179, P. 2160–2164.</mixed-citation></citation-alternatives></ref><ref id="cit31"><label>31</label><citation-alternatives><mixed-citation xml:lang="ru">Mandal B.P., Deshpande S.K., Tyagi A.K. Ionic conductivity enhancement in Gd2Zr2O7 pyrochlore by Nd doping. J. Mater. Res., 2008, 23, P. 911–916.</mixed-citation><mixed-citation xml:lang="en">Mandal B.P., Deshpande S.K., Tyagi A.K. Ionic conductivity enhancement in Gd2Zr2O7 pyrochlore by Nd doping. J. Mater. Res., 2008, 23, P. 911–916.</mixed-citation></citation-alternatives></ref><ref id="cit32"><label>32</label><citation-alternatives><mixed-citation xml:lang="ru">Moreno K.J., Fuentes A.F., Garc´ıa-Barriocanal J., Leo´n C., Santamar´ıa J. Mechanochemical synthesis and ionic conductivity in the Gd2(Sn1−yZry)2O7 (0 ≤ y ≤ 1) solid solution. J. Solid State Chem., 2006, 179, P. 323–330.</mixed-citation><mixed-citation xml:lang="en">Moreno K.J., Fuentes A.F., Garc´ıa-Barriocanal J., Leo´n C., Santamar´ıa J. Mechanochemical synthesis and ionic conductivity in the Gd2(Sn1−yZry)2O7 (0 ≤ y ≤ 1) solid solution. J. Solid State Chem., 2006, 179, P. 323–330.</mixed-citation></citation-alternatives></ref><ref id="cit33"><label>33</label><citation-alternatives><mixed-citation xml:lang="ru">D´ıaz-Guille´n M.R., Moreno K.J., D´ıaz-Guille´n J.A., Fuentes A.F., Garc´ıa-Barriocanal J., Santamar´ıa J., Leo´n C. Dynamics of mobile oxygen ions in disordered pyrochlore-type oxide-ion conductors. Defect and Diffusion Forum, 2009, 289–292, P. 347–354.</mixed-citation><mixed-citation xml:lang="en">D´ıaz-Guille´n M.R., Moreno K.J., D´ıaz-Guille´n J.A., Fuentes A.F., Garc´ıa-Barriocanal J., Santamar´ıa J., Leo´n C. Dynamics of mobile oxygen ions in disordered pyrochlore-type oxide-ion conductors. Defect and Diffusion Forum, 2009, 289–292, P. 347–354.</mixed-citation></citation-alternatives></ref><ref id="cit34"><label>34</label><citation-alternatives><mixed-citation xml:lang="ru">D´ıaz-Guille´n J.A., Fuentes A.F., D´ıaz-Guille´n M.R., Almanza J.M., Santamar´ıa J., Leo´n, C. The effect of homovalent A-site substitutions on the ionic conductivity of pyrochlore-type Gd2Zr2O7. J. Power Sources, 2009, 186, P. 349–352.</mixed-citation><mixed-citation xml:lang="en">D´ıaz-Guille´n J.A., Fuentes A.F., D´ıaz-Guille´n M.R., Almanza J.M., Santamar´ıa J., Leo´n, C. The effect of homovalent A-site substitutions on the ionic conductivity of pyrochlore-type Gd2Zr2O7. J. Power Sources, 2009, 186, P. 349–352.</mixed-citation></citation-alternatives></ref><ref id="cit35"><label>35</label><citation-alternatives><mixed-citation xml:lang="ru">Tuller H.L. Oxygen ion conduction and structural disorder in conductive oxides. J. Phys. Chem. Solids, 1994, 55 (12), P. 1393–1404.</mixed-citation><mixed-citation xml:lang="en">Tuller H.L. Oxygen ion conduction and structural disorder in conductive oxides. J. Phys. Chem. Solids, 1994, 55 (12), P. 1393–1404.</mixed-citation></citation-alternatives></ref><ref id="cit36"><label>36</label><citation-alternatives><mixed-citation xml:lang="ru">Omata T., Otsuka-Yao-Matsuo S. Electrical properties of proton-conducting Ca -doped La2Zr2O7 with a pyrochlore-type structure. J. Electrochem. Soc., 2001, 148 (6), P. 252–261.</mixed-citation><mixed-citation xml:lang="en">Omata T., Otsuka-Yao-Matsuo S. Electrical properties of proton-conducting Ca -doped La2Zr2O7 with a pyrochlore-type structure. J. Electrochem. Soc., 2001, 148 (6), P. 252–261.</mixed-citation></citation-alternatives></ref><ref id="cit37"><label>37</label><citation-alternatives><mixed-citation xml:lang="ru">Omata T., Ikeda K., Tokashiki R., Otsuka-Yao-Matsuo S. Proton solubility for La2Zr2O7 with a pyrochlore structure doped with a series of alkaline-earth ions. Solid State Ion, 2004, 167, P. 389–397.</mixed-citation><mixed-citation xml:lang="en">Omata T., Ikeda K., Tokashiki R., Otsuka-Yao-Matsuo S. Proton solubility for La2Zr2O7 with a pyrochlore structure doped with a series of alkaline-earth ions. Solid State Ion, 2004, 167, P. 389–397.</mixed-citation></citation-alternatives></ref><ref id="cit38"><label>38</label><citation-alternatives><mixed-citation xml:lang="ru">Huo D., Gosset D., Sime´one D., Baldinozzi G., Khodja H., Villeroy B., Surble´ S. Influence of sintering methods on microstructure and ionic conductivity of La1.95Sr0.05Zr2O6.975 synthesized by co-precipitation. Solid State Ion, 2015, 278, P. 181–185.</mixed-citation><mixed-citation xml:lang="en">Huo D., Gosset D., Sime´one D., Baldinozzi G., Khodja H., Villeroy B., Surble´ S. Influence of sintering methods on microstructure and ionic conductivity of La1.95Sr0.05Zr2O6.975 synthesized by co-precipitation. Solid State Ion, 2015, 278, P. 181–185.</mixed-citation></citation-alternatives></ref><ref id="cit39"><label>39</label><citation-alternatives><mixed-citation xml:lang="ru">Huo D., Baldinozzi G., Sime´one D., Khodja H., Surble´ S. Grain size-dependent electrical properties of La1.95Sr0.05Zr2O7−δ as potential Proton Ceramic Fuel Cell electrolyte. Solid State Ion, 2016, 298, P. 35–43.</mixed-citation><mixed-citation xml:lang="en">Huo D., Baldinozzi G., Sime´one D., Khodja H., Surble´ S. Grain size-dependent electrical properties of La1.95Sr0.05Zr2O7−δ as potential Proton Ceramic Fuel Cell electrolyte. Solid State Ion, 2016, 298, P. 35–43.</mixed-citation></citation-alternatives></ref><ref id="cit40"><label>40</label><citation-alternatives><mixed-citation xml:lang="ru">Antonova E.P., Ananyev M.V., Farlenkov A.S., Tropin E.S., Khodimchuk A.V., Porotnikova N.M. Phase equilibria, water dissolution, and peculiarities of charge transfer in Ca-doped La2Zr2O7−α. Russ. J. Electrochem., 2017, 53, P. 651–657.</mixed-citation><mixed-citation xml:lang="en">Antonova E.P., Ananyev M.V., Farlenkov A.S., Tropin E.S., Khodimchuk A.V., Porotnikova N.M. Phase equilibria, water dissolution, and peculiarities of charge transfer in Ca-doped La2Zr2O7−α. Russ. J. Electrochem., 2017, 53, P. 651–657.</mixed-citation></citation-alternatives></ref><ref id="cit41"><label>41</label><citation-alternatives><mixed-citation xml:lang="ru">Antonova E.P., Farlenkov A.S., Tropin E.S., Eremin V.A., Khodimchuk A.V., Ananyev M.V. Oxygen isotope exchange, water uptake and electrical conductivity of Ca-doped lanthanum zirconate. Solid State Ion, 2017, 306, P. 112–117.</mixed-citation><mixed-citation xml:lang="en">Antonova E.P., Farlenkov A.S., Tropin E.S., Eremin V.A., Khodimchuk A.V., Ananyev M.V. Oxygen isotope exchange, water uptake and electrical conductivity of Ca-doped lanthanum zirconate. Solid State Ion, 2017, 306, P. 112–117.</mixed-citation></citation-alternatives></ref><ref id="cit42"><label>42</label><citation-alternatives><mixed-citation xml:lang="ru">Farlenkov A.S., Khodimchuk A.V., Eremin V.A., Tropin E.S., Fetisov A.V., Shevyrev N.A., Leonidov I.I., Ananyev M.V. Oxygen isotope exchange in doped lanthanum zirconates. J. Solid State Chem., 2018, 268, P. 45–54.</mixed-citation><mixed-citation xml:lang="en">Farlenkov A.S., Khodimchuk A.V., Eremin V.A., Tropin E.S., Fetisov A.V., Shevyrev N.A., Leonidov I.I., Ananyev M.V. Oxygen isotope exchange in doped lanthanum zirconates. J. Solid State Chem., 2018, 268, P. 45–54.</mixed-citation></citation-alternatives></ref><ref id="cit43"><label>43</label><citation-alternatives><mixed-citation xml:lang="ru">Vorotnikov V.A., Belyakov S.A., Plekhanov M.S., Stroeva A.Yu., Lesnichyova A.S., Zhigalina O.M., Khmelenin D.N., A` tanova` A.V., Basu V.G., Kuzmin A.V. Proton transfer in La2−xCaxZr2O7−δ pyrochlores: Reasons for limited water uptake and high grain boundary conductivity. Ceram. Int., 2022, 48, P. 35166–35175.</mixed-citation><mixed-citation xml:lang="en">Vorotnikov V.A., Belyakov S.A., Plekhanov M.S., Stroeva A.Yu., Lesnichyova A.S., Zhigalina O.M., Khmelenin D.N., A` tanova` A.V., Basu V.G., Kuzmin A.V. Proton transfer in La2−xCaxZr2O7−δ pyrochlores: Reasons for limited water uptake and high grain boundary conductivity. Ceram. Int., 2022, 48, P. 35166–35175.</mixed-citation></citation-alternatives></ref><ref id="cit44"><label>44</label><citation-alternatives><mixed-citation xml:lang="ru">Fournier T., Nots J.Y., Muller J., Joubert J.C. Conductive ionique des phases de type pyrochlore Gd2−xCaxZr2O7−x/2 and Gd2Zr2−xScxO7−x/2. Solid State Ion, 1985, 15, P. 71–74.</mixed-citation><mixed-citation xml:lang="en">Fournier T., Nots J.Y., Muller J., Joubert J.C. Conductive ionique des phases de type pyrochlore Gd2−xCaxZr2O7−x/2 and Gd2Zr2−xScxO7−x/2. Solid State Ion, 1985, 15, P. 71–74.</mixed-citation></citation-alternatives></ref><ref id="cit45"><label>45</label><citation-alternatives><mixed-citation xml:lang="ru">Zhong F., Zhao J., Shi L., Xiao Y., Cai G., Zheng Y., Long J. Alkaline-earth metals-doped pyrochlore Gd2Zr2O7 as oxygen conductors for improved NO2 sensing performance. Sci. Rep., 2017, 7, 4684.</mixed-citation><mixed-citation xml:lang="en">Zhong F., Zhao J., Shi L., Xiao Y., Cai G., Zheng Y., Long J. Alkaline-earth metals-doped pyrochlore Gd2Zr2O7 as oxygen conductors for improved NO2 sensing performance. Sci. Rep., 2017, 7, 4684.</mixed-citation></citation-alternatives></ref><ref id="cit46"><label>46</label><citation-alternatives><mixed-citation xml:lang="ru">Shlyakhtina A.V., Abrantes J.C.C., Gomes E., Lyskov N.V., Konysheva E.Y., Chernyak S.A., Kharitonova E.P., Karyagina O.K., Kolbanev I.V., Shcherbakova L.G. Evolution of Oxygen–Ion and Proton Conductivity in Ca-Doped Ln2Zr2O7 (Ln = Sm, Gd), Located Near Pyrochlore–Fluorite Phase Boundary. Materials, 2019, 12, 2452.</mixed-citation><mixed-citation xml:lang="en">Shlyakhtina A.V., Abrantes J.C.C., Gomes E., Lyskov N.V., Konysheva E.Y., Chernyak S.A., Kharitonova E.P., Karyagina O.K., Kolbanev I.V., Shcherbakova L.G. Evolution of Oxygen–Ion and Proton Conductivity in Ca-Doped Ln2Zr2O7 (Ln = Sm, Gd), Located Near Pyrochlore–Fluorite Phase Boundary. Materials, 2019, 12, 2452.</mixed-citation></citation-alternatives></ref><ref id="cit47"><label>47</label><citation-alternatives><mixed-citation xml:lang="ru">Kuzmin A.V., Stroeva A.Yu, Gorelov V.P., Novikova Yu.V., Lesnichyova A.S., Farlenkov A.S., Khodimchuk A.V. Synthesis and characterization of dense proton-conducting La1−xSrxScO3−δ ceramics. Hydrogen Energy, 2019, 44, P. 1130–1138.</mixed-citation><mixed-citation xml:lang="en">Kuzmin A.V., Stroeva A.Yu, Gorelov V.P., Novikova Yu.V., Lesnichyova A.S., Farlenkov A.S., Khodimchuk A.V. Synthesis and characterization of dense proton-conducting La1−xSrxScO3−δ ceramics. Hydrogen Energy, 2019, 44, P. 1130–1138.</mixed-citation></citation-alternatives></ref><ref id="cit48"><label>48</label><citation-alternatives><mixed-citation xml:lang="ru">Jiang L., Wang C., Wang J., Liu F., You R., Lv S., Zeng G., Yang Z., He J., Liu A., et al. Pyrochlore Ca-doped Gd2Zr2O7 solid state electrolyte type sensor coupled with ZnO sensing electrode for sensitive detection of HCHO. Sens. Actuators B Chem., 2020, 309, 127768.</mixed-citation><mixed-citation xml:lang="en">Jiang L., Wang C., Wang J., Liu F., You R., Lv S., Zeng G., Yang Z., He J., Liu A., et al. Pyrochlore Ca-doped Gd2Zr2O7 solid state electrolyte type sensor coupled with ZnO sensing electrode for sensitive detection of HCHO. Sens. Actuators B Chem., 2020, 309, 127768.</mixed-citation></citation-alternatives></ref><ref id="cit49"><label>49</label><citation-alternatives><mixed-citation xml:lang="ru">Liu Z.G., Ouyang J.H., Zhou Y., Xia X.L. Effect of Sm substitution for Gd on the electrical conductivity of fluorite-type Gd2Zr2O7. J. Power Sources, 2008, 185 (2), P. 876–880.</mixed-citation><mixed-citation xml:lang="en">Liu Z.G., Ouyang J.H., Zhou Y., Xia X.L. Effect of Sm substitution for Gd on the electrical conductivity of fluorite-type Gd2Zr2O7. J. Power Sources, 2008, 185 (2), P. 876–880.</mixed-citation></citation-alternatives></ref><ref id="cit50"><label>50</label><citation-alternatives><mixed-citation xml:lang="ru">Liu Z., Ouyang J., Sun K., Zhou Y. Effect of CaO addition on the structure and electrical conductivity of the pyrochlore-type GdSmZr2O7. Ceram. Int., 2012, 38, P. 2935–2941.</mixed-citation><mixed-citation xml:lang="en">Liu Z., Ouyang J., Sun K., Zhou Y. Effect of CaO addition on the structure and electrical conductivity of the pyrochlore-type GdSmZr2O7. Ceram. Int., 2012, 38, P. 2935–2941.</mixed-citation></citation-alternatives></ref><ref id="cit51"><label>51</label><citation-alternatives><mixed-citation xml:lang="ru">Liu Z.-G., Ouyang J.-H., Sun K.-N., Zhou Y. Influence of magnesia doping on structure and electrical conductivity of pyrochlore type GdSmZr2O7. Adv. Appl. Ceram., 2012, 111, P. 214–219.</mixed-citation><mixed-citation xml:lang="en">Liu Z.-G., Ouyang J.-H., Sun K.-N., Zhou Y. Influence of magnesia doping on structure and electrical conductivity of pyrochlore type GdSmZr2O7. Adv. Appl. Ceram., 2012, 111, P. 214–219.</mixed-citation></citation-alternatives></ref><ref id="cit52"><label>52</label><citation-alternatives><mixed-citation xml:lang="ru">Shannon R.D. Revised effective ionic radii and systematic studies of interatomic distances in halides and chalcogenides. Acta Cryst. A, 1976, 32, P. 751–767.</mixed-citation><mixed-citation xml:lang="en">Shannon R.D. Revised effective ionic radii and systematic studies of interatomic distances in halides and chalcogenides. Acta Cryst. A, 1976, 32, P. 751–767.</mixed-citation></citation-alternatives></ref><ref id="cit53"><label>53</label><citation-alternatives><mixed-citation xml:lang="ru">Xia X.-L., Ouyang J.-H., Liu Z.-G. Influence of CaO on structure and electrical conductivity of pyrochlore-type Sm2Zr2O7. J. Power Sources, 2009, 189, P. 888–893.</mixed-citation><mixed-citation xml:lang="en">Xia X.-L., Ouyang J.-H., Liu Z.-G. Influence of CaO on structure and electrical conductivity of pyrochlore-type Sm2Zr2O7. J. Power Sources, 2009, 189, P. 888–893.</mixed-citation></citation-alternatives></ref><ref id="cit54"><label>54</label><citation-alternatives><mixed-citation xml:lang="ru">Kovrova A.I., Gorelov V.P. Characteristics of Pt electrode activated by Tb1−xCexO2−α films in contact with ZrO2 + 10 mol % Y2O3 electrolyte. Russ. J. Electrochem., 2019, 55, P. 132–136.</mixed-citation><mixed-citation xml:lang="en">Kovrova A.I., Gorelov V.P. Characteristics of Pt electrode activated by Tb1−xCexO2−α films in contact with ZrO2 + 10 mol % Y2O3 electrolyte. Russ. J. Electrochem., 2019, 55, P. 132–136.</mixed-citation></citation-alternatives></ref><ref id="cit55"><label>55</label><citation-alternatives><mixed-citation xml:lang="ru">Wan T.H., Saccoccio M., Chen C., Ciucci F. Influence of the discretization methods on the distribution of relaxation times deconvolution: implementing radial basis functions with DRTtools. Electrochim. Acta, 2015, 184, P. 483–499.</mixed-citation><mixed-citation xml:lang="en">Wan T.H., Saccoccio M., Chen C., Ciucci F. Influence of the discretization methods on the distribution of relaxation times deconvolution: implementing radial basis functions with DRTtools. Electrochim. Acta, 2015, 184, P. 483–499.</mixed-citation></citation-alternatives></ref><ref id="cit56"><label>56</label><citation-alternatives><mixed-citation xml:lang="ru">Gavrilyuk A.L., Osinkin D.A., Bronin D.I. The use of Tikhonov regularization method for calculating the distribution function of relaxation times in impedance spectroscopy. Russ. J. Electrochem., 2017, 53, P. 575–588.</mixed-citation><mixed-citation xml:lang="en">Gavrilyuk A.L., Osinkin D.A., Bronin D.I. The use of Tikhonov regularization method for calculating the distribution function of relaxation times in impedance spectroscopy. Russ. J. Electrochem., 2017, 53, P. 575–588.</mixed-citation></citation-alternatives></ref><ref id="cit57"><label>57</label><citation-alternatives><mixed-citation xml:lang="ru">Schlu¨ter N., Ernst S., Schro¨der U. Finding the Optimal Regularization Parameter in Distribution of Relaxation Times Analysis. ChemElectroChem, 2019, 6 (24), P. 6027–6037.</mixed-citation><mixed-citation xml:lang="en">Schlu¨ter N., Ernst S., Schro¨der U. Finding the Optimal Regularization Parameter in Distribution of Relaxation Times Analysis. ChemElectroChem, 2019, 6 (24), P. 6027–6037.</mixed-citation></citation-alternatives></ref><ref id="cit58"><label>58</label><citation-alternatives><mixed-citation xml:lang="ru">Yastrebtsev A.A., Popov V.V., Menushenkov A.P., Beskrovnyi A.I., Neov D.S., Shchetinin I.V., Ponkratov K.V. Comparative neutron and X-ray diffraction analysis of anionic and cationic ordering in rare-earth zirconates (Ln = La, Nd, Tb, Yb, Y). J. Alloys Compd., 2020, 832, 154863.</mixed-citation><mixed-citation xml:lang="en">Yastrebtsev A.A., Popov V.V., Menushenkov A.P., Beskrovnyi A.I., Neov D.S., Shchetinin I.V., Ponkratov K.V. Comparative neutron and X-ray diffraction analysis of anionic and cationic ordering in rare-earth zirconates (Ln = La, Nd, Tb, Yb, Y). J. Alloys Compd., 2020, 832, 154863.</mixed-citation></citation-alternatives></ref><ref id="cit59"><label>59</label><citation-alternatives><mixed-citation xml:lang="ru">Uno M., Kosuga A., Okui M., Horisaka K., Muta H., Kurosaki K., Yamanaka S. Photoelectrochemical study of lanthanide zirconium oxides, Ln2Zr2O7 (Ln = La, Ce, Nd and Sm). J. Alloys Compd., 2006, 420, P. 291–297.</mixed-citation><mixed-citation xml:lang="en">Uno M., Kosuga A., Okui M., Horisaka K., Muta H., Kurosaki K., Yamanaka S. Photoelectrochemical study of lanthanide zirconium oxides, Ln2Zr2O7 (Ln = La, Ce, Nd and Sm). J. Alloys Compd., 2006, 420, P. 291–297.</mixed-citation></citation-alternatives></ref><ref id="cit60"><label>60</label><citation-alternatives><mixed-citation xml:lang="ru">Govindan Kutty, K.V., Rajagopalan, S., Mathews, C.K., Varadaraju, U.V. Thermal expansion behavior of some rare earth oxide pyrochlores. Mater. Res. Bull., 1994, 29 (7), P. 759–766.</mixed-citation><mixed-citation xml:lang="en">Govindan Kutty, K.V., Rajagopalan, S., Mathews, C.K., Varadaraju, U.V. Thermal expansion behavior of some rare earth oxide pyrochlores. Mater. Res. Bull., 1994, 29 (7), P. 759–766.</mixed-citation></citation-alternatives></ref><ref id="cit61"><label>61</label><citation-alternatives><mixed-citation xml:lang="ru">Shimamura K., Arima T., Idemitsu K., Inagaki Y. Thermophysical Properties of Rare-Earth-Stabilized Zirconia and Zirconate Pyrochlores as Surrogates for Actinide-Doped Zirconia. Int. J. Thermophys., 2007, 28, P. 1074–1084.</mixed-citation><mixed-citation xml:lang="en">Shimamura K., Arima T., Idemitsu K., Inagaki Y. Thermophysical Properties of Rare-Earth-Stabilized Zirconia and Zirconate Pyrochlores as Surrogates for Actinide-Doped Zirconia. Int. J. Thermophys., 2007, 28, P. 1074–1084.</mixed-citation></citation-alternatives></ref><ref id="cit62"><label>62</label><citation-alternatives><mixed-citation xml:lang="ru">Liu X.Y., Xu Z.H., Liang G.Y. Comparative study of the sintering behaviors between YSZ and LZ/YSZ composite. Mater. Lett., 2017, 191, P. 108–111.</mixed-citation><mixed-citation xml:lang="en">Liu X.Y., Xu Z.H., Liang G.Y. Comparative study of the sintering behaviors between YSZ and LZ/YSZ composite. Mater. Lett., 2017, 191, P. 108–111.</mixed-citation></citation-alternatives></ref><ref id="cit63"><label>63</label><citation-alternatives><mixed-citation xml:lang="ru">Qu Z., Wan C., Pan W. Thermal expansion and defect chemistry of MgO-doped Sm2Zr2O7. Chem. Mater., 2007, 19, P. 4913–4918.</mixed-citation><mixed-citation xml:lang="en">Qu Z., Wan C., Pan W. Thermal expansion and defect chemistry of MgO-doped Sm2Zr2O7. Chem. Mater., 2007, 19, P. 4913–4918.</mixed-citation></citation-alternatives></ref><ref id="cit64"><label>64</label><citation-alternatives><mixed-citation xml:lang="ru">Nikonov A.V., Kuterbekov K.A., Bekmyrza K.Z., Pavzderin N.B. A brief review of conductivity and thermal expansion of perovskite-related oxides for SOFC cathode. Eurasian J. Phys. Funct. Mater., 2018, 2 (3), P. 274–292.</mixed-citation><mixed-citation xml:lang="en">Nikonov A.V., Kuterbekov K.A., Bekmyrza K.Z., Pavzderin N.B. A brief review of conductivity and thermal expansion of perovskite-related oxides for SOFC cathode. Eurasian J. Phys. Funct. Mater., 2018, 2 (3), P. 274–292.</mixed-citation></citation-alternatives></ref><ref id="cit65"><label>65</label><citation-alternatives><mixed-citation xml:lang="ru">Eurenius K.E.J., Ahlberg E., Knee C.S. Role of B-site ion on proton conduction in acceptor-doped Sm2B2O7−δ (B = Ti, Sn, Zr and Ce) pyrochlores and C-type compounds. Dalton Trans., 2011, 40, P. 3946–3954.</mixed-citation><mixed-citation xml:lang="en">Eurenius K.E.J., Ahlberg E., Knee C.S. Role of B-site ion on proton conduction in acceptor-doped Sm2B2O7−δ (B = Ti, Sn, Zr and Ce) pyrochlores and C-type compounds. Dalton Trans., 2011, 40, P. 3946–3954.</mixed-citation></citation-alternatives></ref><ref id="cit66"><label>66</label><citation-alternatives><mixed-citation xml:lang="ru">Hagiwara T., Nomura K., Kageyama H. Crystal structure analysis of Ln2Zr2O7 (Ln = Eu and La) with a pyrochlore composition by hightemperature powder X-ray diffraction. J. Ceram. Soc. Jpn., 2017, 125, P. 65–70.</mixed-citation><mixed-citation xml:lang="en">Hagiwara T., Nomura K., Kageyama H. Crystal structure analysis of Ln2Zr2O7 (Ln = Eu and La) with a pyrochlore composition by hightemperature powder X-ray diffraction. J. Ceram. Soc. Jpn., 2017, 125, P. 65–70.</mixed-citation></citation-alternatives></ref><ref id="cit67"><label>67</label><citation-alternatives><mixed-citation xml:lang="ru">Shenu A. Structural Analysis and Its Implications for Oxide ion Conductivity of Lanthanide Zirconate Pyrochlores. PhD Thesis, School of Biological and Chemical Sciences, Queen Mary University of London, London, UK, 2018.</mixed-citation><mixed-citation xml:lang="en">Shenu A. Structural Analysis and Its Implications for Oxide ion Conductivity of Lanthanide Zirconate Pyrochlores. PhD Thesis, School of Biological and Chemical Sciences, Queen Mary University of London, London, UK, 2018.</mixed-citation></citation-alternatives></ref><ref id="cit68"><label>68</label><citation-alternatives><mixed-citation xml:lang="ru">Shlyakhtina A.V., Belov D.A., Knotko A.V., Kolbanev I.V., Streletskii A.N., Karyagina O.K., Shcherbakova L.G. Oxygen Interstitial and Vacancy Conduction in Symmetric Ln2±xZr2±xO7±x/2 (Ln = Nd, Sm) Solid Solutions. Inorg. Mater., 2014, 50 (10), P. 1035–1049.</mixed-citation><mixed-citation xml:lang="en">Shlyakhtina A.V., Belov D.A., Knotko A.V., Kolbanev I.V., Streletskii A.N., Karyagina O.K., Shcherbakova L.G. Oxygen Interstitial and Vacancy Conduction in Symmetric Ln2±xZr2±xO7±x/2 (Ln = Nd, Sm) Solid Solutions. Inorg. Mater., 2014, 50 (10), P. 1035–1049.</mixed-citation></citation-alternatives></ref><ref id="cit69"><label>69</label><citation-alternatives><mixed-citation xml:lang="ru">Guo X., Maier J. Grain Boundary Blocking Effect in Zirconia: A Schottky Barrier Analysis. J. Electrochem. Soc., 2001, 148, E121–E126.</mixed-citation><mixed-citation xml:lang="en">Guo X., Maier J. Grain Boundary Blocking Effect in Zirconia: A Schottky Barrier Analysis. J. Electrochem. Soc., 2001, 148, E121–E126.</mixed-citation></citation-alternatives></ref><ref id="cit70"><label>70</label><citation-alternatives><mixed-citation xml:lang="ru">Perriot R., Dholabhai P.P., Uberuaga B.P. Disorder-induced transition from grain boundary to bulk dominated ionic diffusion in pyrochlores. Nanoscale, 2017, 9, P. 6826–6836.</mixed-citation><mixed-citation xml:lang="en">Perriot R., Dholabhai P.P., Uberuaga B.P. Disorder-induced transition from grain boundary to bulk dominated ionic diffusion in pyrochlores. Nanoscale, 2017, 9, P. 6826–6836.</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>
