<?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">10.17586/2220-8054-2017-8-6-816-822</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-660</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>Stable Ti9O10 nanophase grown from nonstoichiometric titanium monoxide TiOy nanopowder</article-title><trans-title-group xml:lang="ru"><trans-title>Stable Ti9O10 nanophase grown from nonstoichiometric titanium monoxide TiOy nanopowder</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>Valeeva</surname><given-names>A. A.</given-names></name><name name-style="western" xml:lang="en"><surname>Valeeva</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>620990 Pervomayskaya 91, Ekaterinburg; 620002 Mira 19, Ekaterinburg</p></bio><bio xml:lang="en"><p>620990 Pervomayskaya 91, Ekaterinburg; 620002 Mira 19, Ekaterinburg</p></bio><email xlink:type="simple">anibla_v@mail.ru</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>Kostenko</surname><given-names>M. G.</given-names></name><name name-style="western" xml:lang="en"><surname>Kostenko</surname><given-names>M. G.</given-names></name></name-alternatives><bio xml:lang="ru"><p>620990 Pervomayskaya 91, Ekaterinburg</p></bio><bio xml:lang="en"><p>620990 Pervomayskaya 91, Ekaterinburg</p></bio><email xlink:type="simple">makskostenko@yandex.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Institute of Solid State Chemistry, Ural Branch of the Russian Academy of Sciences; Ural Federal University named after the first President of Russia B.N. Yeltsin</institution></aff><aff xml:lang="en"><institution>Institute of Solid State Chemistry, Ural Branch of the Russian Academy of Sciences; Ural Federal University named after the first President of Russia B.N. Yeltsin</institution></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Institute of Solid State Chemistry, Ural Branch of the Russian Academy of Sciences</institution></aff><aff xml:lang="en"><institution>Institute of Solid State Chemistry, Ural Branch of the Russian Academy of Sciences</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2017</year></pub-date><pub-date pub-type="epub"><day>12</day><month>08</month><year>2025</year></pub-date><volume>8</volume><issue>6</issue><fpage>816</fpage><lpage>822</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Valeeva A.A., Kostenko M.G., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Valeeva A.A., Kostenko M.G.</copyright-holder><copyright-holder xml:lang="en">Valeeva A.A., Kostenko M.G.</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/660">https://nanojournal.ifmo.ru/jour/article/view/660</self-uri><abstract><p>A new stable Ti9O10 nanophase (sp. gr. Immm) has been detected by X-ray diffraction (XRD) after high energy ball milling and long-term vacuum annealing of nanocrystalline powder of nonstoichiometric disordered and ordered titanium monoxide TiOy with B1 structure (sp. gr. Fm3̄m). With the help of XRD data, the unit cell of the Ti9O10 nanophase as well as the distribution of atoms and structural vacancies in the titanium and oxygen sublattices of this phase have been established. The crystal structure of Ti9O10 is derived from that of TiOy by (a) a migration of the vacancies to the specific crystallographic planes of B1 structure and (b) by orthorhombic distortions. The DFT calculations of the full energy of the coarse-crystalline phases TiOy and Ti9O10 revealed that the bulk ordered phase Ti9O10 is not preferable in comparison with the bulk disordered cubic phase TiOy with the same content of vacancies in the sublattices, so, it is the nanostate that causes the formation of Ti9O10.</p></abstract><trans-abstract xml:lang="ru"><p>A new stable Ti9O10 nanophase (sp. gr. Immm) has been detected by X-ray diffraction (XRD) after high energy ball milling and long-term vacuum annealing of nanocrystalline powder of nonstoichiometric disordered and ordered titanium monoxide TiOy with B1 structure (sp. gr. Fm3̄m). With the help of XRD data, the unit cell of the Ti9O10 nanophase as well as the distribution of atoms and structural vacancies in the titanium and oxygen sublattices of this phase have been established. The crystal structure of Ti9O10 is derived from that of TiOy by (a) a migration of the vacancies to the specific crystallographic planes of B1 structure and (b) by orthorhombic distortions. The DFT calculations of the full energy of the coarse-crystalline phases TiOy and Ti9O10 revealed that the bulk ordered phase Ti9O10 is not preferable in comparison with the bulk disordered cubic phase TiOy with the same content of vacancies in the sublattices, so, it is the nanostate that causes the formation of Ti9O10.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>Titanium monoxide</kwd><kwd>ball milling</kwd><kwd>nanophase Ti9O10</kwd><kwd>phase transition</kwd><kwd>electronic structure</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Titanium monoxide</kwd><kwd>ball milling</kwd><kwd>nanophase Ti9O10</kwd><kwd>phase transition</kwd><kwd>electronic structure</kwd></kwd-group><funding-group><funding-statement xml:lang="en">The work was carried out at the Institute of Solid State Chemistry UB RAS with financial support from the Russian Science Foundation (project 14-23-00025).</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">Okamoto H. O–Ti (Oxygen-Titanium). J. Phase Equil. Diffus., 2011, 32, P. 473–474.</mixed-citation><mixed-citation xml:lang="en">Okamoto H. O–Ti (Oxygen-Titanium). J. Phase Equil. Diffus., 2011, 32, P. 473–474.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Anderson S., Collen B., Kuylenstierna U., Magneli A. Phase Analysis Studies on the Titanium–Oxygen System. Acta Chem. Scand., 1957, 11, P. 641–1652.</mixed-citation><mixed-citation xml:lang="en">Anderson S., Collen B., Kuylenstierna U., Magneli A. Phase Analysis Studies on the Titanium–Oxygen System. Acta Chem. Scand., 1957, 11, P. 641–1652.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Banus M.D., Reed. T.B. Structural, electrical and magnetic properties of vacancy stabilized cubic TiO and VO. In: The Chemistry of Extended Defects in Non-Metallic Solids, Amsterdam-London: North-Holland Publ., 1970, P. 488–521.</mixed-citation><mixed-citation xml:lang="en">Banus M.D., Reed. T.B. Structural, electrical and magnetic properties of vacancy stabilized cubic TiO and VO. In: The Chemistry of Extended Defects in Non-Metallic Solids, Amsterdam-London: North-Holland Publ., 1970, P. 488–521.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Watanabe D., Castles J.R., Jostson A., Malin A.S. Ordered Structure of Titanium Oxide. Nature, 1966, 210, P. 934–936.</mixed-citation><mixed-citation xml:lang="en">Watanabe D., Castles J.R., Jostson A., Malin A.S. Ordered Structure of Titanium Oxide. Nature, 1966, 210, P. 934–936.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Rempel A.A., Valeeva A.A. Thermodynamics of atomic ordering in nonstoichiometric transition metal monoxides. Mend. Communication, 2010, 20, P. 101–103.</mixed-citation><mixed-citation xml:lang="en">Rempel A.A., Valeeva A.A. Thermodynamics of atomic ordering in nonstoichiometric transition metal monoxides. Mend. Communication, 2010, 20, P. 101–103.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Hilti E. Neue Phasen im System Titan–Sauerstoff. Naturwissenschaften, 1968, 55, P. 130–131.</mixed-citation><mixed-citation xml:lang="en">Hilti E. Neue Phasen im System Titan–Sauerstoff. Naturwissenschaften, 1968, 55, P. 130–131.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Gusev A.I., Valeeva A.A. Diffraction of electrons in the Cubic Ti5O5 superstructure of titanium monoxide. JETP Letters, 2012, 96, P. 364–369.</mixed-citation><mixed-citation xml:lang="en">Gusev A.I., Valeeva A.A. Diffraction of electrons in the Cubic Ti5O5 superstructure of titanium monoxide. JETP Letters, 2012, 96, P. 364–369.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Amano S., Bogdanovski D., et al. ε–TiO, a Novel Stable Polymorph of Titanium Monoxide. Angew. Chem. Int. Ed., 2016, 55, P. 1652– 1657.</mixed-citation><mixed-citation xml:lang="en">Amano S., Bogdanovski D., et al. ε–TiO, a Novel Stable Polymorph of Titanium Monoxide. Angew. Chem. Int. Ed., 2016, 55, P. 1652– 1657.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Khaenko B.V., Kachkovskaya E.. Ordering and phase ratios in Ti–O system in the range of titanium monoxide existing. Poroshkovaya metallurgiya (Powder metallurgy), 1986, 6, P. 52–59.</mixed-citation><mixed-citation xml:lang="en">Khaenko B.V., Kachkovskaya E.. Ordering and phase ratios in Ti–O system in the range of titanium monoxide existing. Poroshkovaya metallurgiya (Powder metallurgy), 1986, 6, P. 52–59.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Valeeva A.A., Rempel A.A., Gusev A.I. Ordering of cubic titanium monoxide into monoclinic Ti5O5. Inorganic materials, 2001, 37, P. 603–612.</mixed-citation><mixed-citation xml:lang="en">Valeeva A.A., Rempel A.A., Gusev A.I. Ordering of cubic titanium monoxide into monoclinic Ti5O5. Inorganic materials, 2001, 37, P. 603–612.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Valeeva A.A., Nazarova S.Z., Rempel A.A. Influence of Particle Size, Stoichiometry, and Degree of Long-Range Order on Magnetic Susceptibility of Titanium Monoxide. Physics of the Solid State, 2016, 58, P. 771–778.</mixed-citation><mixed-citation xml:lang="en">Valeeva A.A., Nazarova S.Z., Rempel A.A. Influence of Particle Size, Stoichiometry, and Degree of Long-Range Order on Magnetic Susceptibility of Titanium Monoxide. Physics of the Solid State, 2016, 58, P. 771–778.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Rempel A.A. Hybrid nanoparticles based on sulfides, oxides, and carbides. Russ. Chem. Bull., 2013, 4, P. 857–868.</mixed-citation><mixed-citation xml:lang="en">Rempel A.A. Hybrid nanoparticles based on sulfides, oxides, and carbides. Russ. Chem. Bull., 2013, 4, P. 857–868.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Schaefer H.-E. Nanoscience. Springer Verlag, Berlin, 2010, 772 p.</mixed-citation><mixed-citation xml:lang="en">Schaefer H.-E. Nanoscience. Springer Verlag, Berlin, 2010, 772 p.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Valeeva A.A., Nazarova S.Z., Rempel A.A. In situ study of atomic-vacancy ordering in stoichiometric titanium monoxide by the magnetic susceptibility. JETP Letters, 2015, 101, P. 258–263.</mixed-citation><mixed-citation xml:lang="en">Valeeva A.A., Nazarova S.Z., Rempel A.A. In situ study of atomic-vacancy ordering in stoichiometric titanium monoxide by the magnetic susceptibility. JETP Letters, 2015, 101, P. 258–263.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Valeeva A.A., Rempel A.A., Gusev A.I. Two-sublattice ordering in titanium monoxide. JETP Letters, 2000, 71, P. 460–464.</mixed-citation><mixed-citation xml:lang="en">Valeeva A.A., Rempel A.A., Gusev A.I. Two-sublattice ordering in titanium monoxide. JETP Letters, 2000, 71, P. 460–464.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Hall W.H. X-Ray Line Broadening in Metals. Proc. Phys. Soc. London. Sect. A, 1949, 62, P. 741–743.</mixed-citation><mixed-citation xml:lang="en">Hall W.H. X-Ray Line Broadening in Metals. Proc. Phys. Soc. London. Sect. A, 1949, 62, P. 741–743.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Hall W.H., Williamson G.K. The Diffraction Pattern of Cold Worked Metals: I The Nature of Extinction. Proc. Phys. Soc. London. Sect. B, 1951, 64, P. 937–946.</mixed-citation><mixed-citation xml:lang="en">Hall W.H., Williamson G.K. The Diffraction Pattern of Cold Worked Metals: I The Nature of Extinction. Proc. Phys. Soc. London. Sect. B, 1951, 64, P. 937–946.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Valeeva A.A., Petrovykh K.A., Schroettner H., Rempel A.A. Effect of stoichiometry on the size of titanium monoxide nanoparticles produced by fragmentation. Inorganic Materials, 2015, 51, P. 1132–1137.</mixed-citation><mixed-citation xml:lang="en">Valeeva A.A., Petrovykh K.A., Schroettner H., Rempel A.A. Effect of stoichiometry on the size of titanium monoxide nanoparticles produced by fragmentation. Inorganic Materials, 2015, 51, P. 1132–1137.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Kohn W., Sham L.J. Self-Consistent Equations Including Exchange and Correlation Effects. Phys. Rev. A, 1965, 140, P. 1133–1138.</mixed-citation><mixed-citation xml:lang="en">Kohn W., Sham L.J. Self-Consistent Equations Including Exchange and Correlation Effects. Phys. Rev. A, 1965, 140, P. 1133–1138.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Jones R.O., Gunnarsson O. The density functional formalism, its applications and prospects. Rev. Mod. Phys., 1989, 61, P. 689–746.</mixed-citation><mixed-citation xml:lang="en">Jones R.O., Gunnarsson O. The density functional formalism, its applications and prospects. Rev. Mod. Phys., 1989, 61, P. 689–746.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Perdew J.P., Burke K., Ernzerhof M. Generalized Gradient Approximation Made Simple. Phys. Rev. Lett., 1996, 77, P. 3865–3868.</mixed-citation><mixed-citation xml:lang="en">Perdew J.P., Burke K., Ernzerhof M. Generalized Gradient Approximation Made Simple. Phys. Rev. Lett., 1996, 77, P. 3865–3868.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Giannozzi P., Baroni S., Bonini N. et al. Quantum espresso: a modular and open-source software project for quantum simulations of materials. J. Phys. Condens. Matter, 2009, 21, 395502 (19 p.).</mixed-citation><mixed-citation xml:lang="en">Giannozzi P., Baroni S., Bonini N. et al. Quantum espresso: a modular and open-source software project for quantum simulations of materials. J. Phys. Condens. Matter, 2009, 21, 395502 (19 p.).</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Gusev A.I. Ordered Orthorhombic Phases of Titanium Monoxide. JETP Letters, 2001, 74, P. 91–95.</mixed-citation><mixed-citation xml:lang="en">Gusev A.I. Ordered Orthorhombic Phases of Titanium Monoxide. JETP Letters, 2001, 74, P. 91–95.</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Payne M.C., Teter M.P., et al. Iterative minimization techniques for ab initio total-energy calculations: molecular dynamics and conjugate gradients. Rev. Mod. Phys., 1992, 64, P. 1045–1097.</mixed-citation><mixed-citation xml:lang="en">Payne M.C., Teter M.P., et al. Iterative minimization techniques for ab initio total-energy calculations: molecular dynamics and conjugate gradients. Rev. Mod. Phys., 1992, 64, P. 1045–1097.</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Andersson D.A., Korzhavyi P.A., Johansson B. Thermodynamics of structural vacancies in titanium monoxide from first-principles calculations. Phys. Rev. B, 2005, 71, 144101 (12 p.).</mixed-citation><mixed-citation xml:lang="en">Andersson D.A., Korzhavyi P.A., Johansson B. Thermodynamics of structural vacancies in titanium monoxide from first-principles calculations. Phys. Rev. B, 2005, 71, 144101 (12 p.).</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Graciani J., Mrquez A., Sanz J.F. Role of vacancies in the structural stability of α–TiO: A first-principles study based on density-functional calculations. Phys. Rev. B, 2005, 72, 054117 (6 p.).</mixed-citation><mixed-citation xml:lang="en">Graciani J., Mrquez A., Sanz J.F. Role of vacancies in the structural stability of α–TiO: A first-principles study based on density-functional calculations. Phys. Rev. B, 2005, 72, 054117 (6 p.).</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">Kostenko M.G., Lukoyanov A.V., Zhukov V.P., Rempel A.A. Vacancies in ordered and disordered titanium monoxide: Mechanism of B1 structure stabilization. J. Sol. St. Chem., 2013, 204, P. 146–152.</mixed-citation><mixed-citation xml:lang="en">Kostenko M.G., Lukoyanov A.V., Zhukov V.P., Rempel A.A. Vacancies in ordered and disordered titanium monoxide: Mechanism of B1 structure stabilization. J. Sol. St. Chem., 2013, 204, P. 146–152.</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">Kostenko M.G., Lukoyanov A.V., Zhukov V.P., Rempel A.A. Effect of the long-range order in the vacancy distribution on the electronic structure of titanium monoxide TiO1.0. JETP Lett., 2012, 96, P. 507–510.</mixed-citation><mixed-citation xml:lang="en">Kostenko M.G., Lukoyanov A.V., Zhukov V.P., Rempel A.A. Effect of the long-range order in the vacancy distribution on the electronic structure of titanium monoxide TiO1.0. JETP Lett., 2012, 96, P. 507–510.</mixed-citation></citation-alternatives></ref><ref id="cit29"><label>29</label><citation-alternatives><mixed-citation xml:lang="ru">Kostenko M.G., Rempel A.A., Sharf S.V., Lukoyanov A.V. Simulation of the short-range order in disordered cubic titanium monoxide TiO1.0. JETP Lett., 2013, 97, P. 616–620.</mixed-citation><mixed-citation xml:lang="en">Kostenko M.G., Rempel A.A., Sharf S.V., Lukoyanov A.V. Simulation of the short-range order in disordered cubic titanium monoxide TiO1.0. JETP Lett., 2013, 97, P. 616–620.</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>
