<?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="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">zldm</journal-id><journal-title-group><journal-title xml:lang="ru">Заводская лаборатория. Диагностика материалов</journal-title><trans-title-group xml:lang="en"><trans-title>Industrial laboratory. Diagnostics of materials</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1028-6861</issn><issn pub-type="epub">2588-0187</issn><publisher><publisher-name>ООО «Издательство «ТЕСТ-ЗЛ»</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.26896/1028-6861-2026-92-7-47-52</article-id><article-id custom-type="elpub" pub-id-type="custom">zldm-2886</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>ИССЛЕДОВАНИЕ СТРУКТУРЫ И СВОЙСТВ. ФИЗИЧЕСКИЕ МЕТОДЫ ИССЛЕДОВАНИЯ И КОНТРОЛЯ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>TESTING OF STRUCTURE AND PARAMETERS. PHYSICAL METHODS OF TESTING AND QUALITY CONTROL</subject></subj-group></article-categories><title-group><article-title>Determination of the composition of titanium-based alloys by neutron diffraction</article-title><trans-title-group xml:lang="en"><trans-title>Determination of the composition of titanium-based alloys by neutron diffraction</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>Khidirov</surname><given-names>I.</given-names></name><name name-style="western" xml:lang="en"><surname>Khidirov</surname><given-names>I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Irisali Khidirov</p><p>1, Xurason ko’chasi, Tashkent, 100214</p></bio><bio xml:lang="en"><p>Irisali Khidirov</p><p>1, Xurason ko’chasi, Tashkent, 100214</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>Jaksimuratov</surname><given-names>I. J.</given-names></name><name name-style="western" xml:lang="en"><surname>Jaksimuratov</surname><given-names>I. J.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Ibrayim J. Jaksimuratov</p><p>33, Durmon Yuli ko’chasi, Tashkent, 100215</p></bio><bio xml:lang="en"><p>Ibrayim J. Jaksimuratov</p><p>33, Durmon Yuli ko’chasi, Tashkent, 100215</p></bio><email xlink:type="simple">i.jaksimuratov@mail.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Parpiyev</surname><given-names>A. S.</given-names></name><name name-style="western" xml:lang="en"><surname>Parpiyev</surname><given-names>A. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Adxamjon S. Parpiyev</p><p>1, Xurason ko’chasi, Tashkent, 100214</p></bio><bio xml:lang="en"><p>Adxamjon S. Parpiyev</p><p>1, Xurason ko’chasi, Tashkent, 100214</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>Jalekeshov</surname><given-names>A. S.</given-names></name><name name-style="western" xml:lang="en"><surname>Jalekeshov</surname><given-names>A. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Azamat S. Jalekeshov</p><p>P. Seitov ko’chasi, Nukus, Karakalpakstan, 230100</p></bio><bio xml:lang="en"><p>Azamat S. Jalekeshov</p><p>P. Seitov ko’chasi, Nukus, Karakalpakstan, 230100</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>Turekeev</surname><given-names>K. S.</given-names></name><name name-style="western" xml:lang="en"><surname>Turekeev</surname><given-names>K. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Khozhaakhmetzhan S. Turekeev</p><p>1, Sh. Abdirov ko’chasi, Nukus, Karakalpakstan, 230100</p></bio><bio xml:lang="en"><p>Khozhaakhmetzhan S. Turekeev</p><p>1, Sh. Abdirov ko’chasi, Nukus, Karakalpakstan, 230100</p></bio><xref ref-type="aff" rid="aff-4"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Khajibaev</surname><given-names>D. G.</given-names></name><name name-style="western" xml:lang="en"><surname>Khajibaev</surname><given-names>D. G.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Dusmukhammad G. Khajibaev</p><p>39, Kori Niyozy ko’chasi, Tashkent, 100000</p></bio><bio xml:lang="en"><p>Dusmukhammad G. Khajibaev</p><p>39, Kori Niyozy ko’chasi, Tashkent, 100000</p></bio><xref ref-type="aff" rid="aff-5"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Institute of Nuclear Physics of the Academy of Sciences of the Republic of Uzbekistan</institution><country>Узбекистан</country></aff><aff xml:lang="en"><institution>Institute of Nuclear Physics of the Academy of Sciences of the Republic of Uzbekistan</institution><country>Uzbekistan</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Institute of Ion-Plasma and Laser Technologies of the Academy of Sciences of the Republic of Uzbekistan</institution><country>Узбекистан</country></aff><aff xml:lang="en"><institution>Institute of Ion-Plasma and Laser Technologies of the Academy of Sciences of the Republic of Uzbekistan</institution><country>Uzbekistan</country></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru"><institution>Ajiniyaz Nukus State Pedagogical Institute</institution><country>Узбекистан</country></aff><aff xml:lang="en"><institution>Ajiniyaz Nukus State Pedagogical Institute</institution><country>Uzbekistan</country></aff></aff-alternatives><aff-alternatives id="aff-4"><aff xml:lang="ru"><institution>Berdax Karakalpak State University</institution><country>Узбекистан</country></aff><aff xml:lang="en"><institution>Berdax Karakalpak State University</institution><country>Uzbekistan</country></aff></aff-alternatives><aff-alternatives id="aff-5"><aff xml:lang="ru"><institution>Institute of Fundamental and Applied Research, National Research University TIIAME</institution><country>Узбекистан</country></aff><aff xml:lang="en"><institution>Institute of Fundamental and Applied Research, National Research University TIIAME</institution><country>Uzbekistan</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>26</day><month>07</month><year>2026</year></pub-date><volume>92</volume><issue>7</issue><fpage>47</fpage><lpage>52</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Khidirov I., Jaksimuratov I.J., Parpiyev A.S., Jalekeshov A.S., Turekeev K.S., Khajibaev D.G., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Khidirov I., Jaksimuratov I.J., Parpiyev A.S., Jalekeshov A.S., Turekeev K.S., Khajibaev D.G.</copyright-holder><copyright-holder xml:lang="en">Khidirov I., Jaksimuratov I.J., Parpiyev A.S., Jalekeshov A.S., Turekeev K.S., Khajibaev D.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://www.zldm.ru/jour/article/view/2886">https://www.zldm.ru/jour/article/view/2886</self-uri><abstract><p>Titanium-based solid solution alloys with the general composition TixMo1 – xCyN1 – y and a face-centered cubic (FCC) NaCl-type structure have attracted considerable attention due to their remarkable hardness, thermal and oxidation resistance, and chemical stability, making them indispensable in modern engineering, coating, and biomedical applications. The mechanical and physical behavior of these alloys is governed by their atomic-scale chemical composition, particularly by the ratio of transition metal and interstitial elements. However, despite extensive experimental and computational research, the correlation between elemental distribution and the resulting mechanical characteristics remains insufficiently understood. This limitation is largely associated with the drawbacks of conventional chemical analysis techniques, which are often destructive, lack precision at the atomic scale, and preclude repeated investigations. The present study aims to assess the potential of neutron diffraction as a precise and non-destructive method for determining the atomic composition and crystal structure of multicomponent TixMo1 – xCyN1 – y solid solutions. Experimental investigations confirmed that all synthesized alloys possess a NaCl-type crystal structure corresponding to the same space group as titanium carbide and nitride. Analysis of neutron diffraction data performed using the FullProf software demonstrated that titanium and molybdenum atoms occupy equivalent 4b lattice sites, while carbon and nitrogen atoms statistically substitute each other in octahedral 4a positions. The refined Rietveld parameters — including the reliability factors and lattice constant — exhibited excellent agreement between the calculated and experimental values, with deviations not exceeding 3%. These findings validate neutron diffraction as a powerful technique for accurate quantitative structural characterization of multicomponent carbides and carbonitrides. The proposed approach can be extended to other NaCl-type alloys containing heavy and light elements, offering a reliable pathway for the non-destructive evaluation and design of advanced heat- and wear-resistant materials.</p></abstract><trans-abstract xml:lang="en"><p>Titanium-based solid solution alloys with the general composition TixMo1 – xCyN1 – y and a face-centered cubic (FCC) NaCl-type structure have attracted considerable attention due to their remarkable hardness, thermal and oxidation resistance, and chemical stability, making them indispensable in modern engineering, coating, and biomedical applications. The mechanical and physical behavior of these alloys is governed by their atomic-scale chemical composition, particularly by the ratio of transition metal and interstitial elements. However, despite extensive experimental and computational research, the correlation between elemental distribution and the resulting mechanical characteristics remains insufficiently understood. This limitation is largely associated with the drawbacks of conventional chemical analysis techniques, which are often destructive, lack precision at the atomic scale, and preclude repeated investigations. The present study aims to assess the potential of neutron diffraction as a precise and non-destructive method for determining the atomic composition and crystal structure of multicomponent TixMo1 – xCyN1 – y solid solutions. Experimental investigations confirmed that all synthesized alloys possess a NaCl-type crystal structure corresponding to the same space group as titanium carbide and nitride. Analysis of neutron diffraction data performed using the FullProf software demonstrated that titanium and molybdenum atoms occupy equivalent 4b lattice sites, while carbon and nitrogen atoms statistically substitute each other in octahedral 4a positions. The refined Rietveld parameters — including the reliability factors and lattice constant — exhibited excellent agreement between the calculated and experimental values, with deviations not exceeding 3%. These findings validate neutron diffraction as a powerful technique for accurate quantitative structural characterization of multicomponent carbides and carbonitrides. The proposed approach can be extended to other NaCl-type alloys containing heavy and light elements, offering a reliable pathway for the non-destructive evaluation and design of advanced heat- and wear-resistant materials.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>neutron diffraction pattern</kwd><kwd>concentration</kwd><kwd>TixMo1 – xCyN1 – y alloys</kwd><kwd>Rietveld method</kwd><kwd>iteration method.</kwd></kwd-group><kwd-group xml:lang="en"><kwd>neutron diffraction pattern</kwd><kwd>concentration</kwd><kwd>TixMo1 – xCyN1 – y alloys</kwd><kwd>Rietveld method</kwd><kwd>iteration method.</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">The work was carried out using basic funding allocated to the Institute of Nuclear Physics of the Academy of Sciences of the Republic of Uzbekistan.</funding-statement><funding-statement xml:lang="en">The work was carried out using basic funding allocated to the Institute of Nuclear Physics of the Academy of Sciences of the Republic of Uzbekistan.</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">Mari D., Bolognini S., Feusier G., et al. Ti-Mo-C-N based cermets. Part II. Microstructure and room temperature mechanical properties / Int. J. Refr. Met. Hard Mater. 2003. Vol. 21. P. 47 – 53. DOI: 10.1016/s0263-4368(03)00011-8</mixed-citation><mixed-citation xml:lang="en">Mari D., Bolognini S., Feusier G., et al. Ti-Mo-C-N based cermets. Part II. Microstructure and room temperature mechanical properties / Int. J. Refr. Met. Hard Mater. 2003. Vol. 21. P. 47 – 53. DOI: 10.1016/s0263-4368(03)00011-8</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Balţatu M., Vizureanu P., Sandu A., et al. Prospects on titanium biomaterials / Eur. J. Mater. Sci. Eng. 2023. Vol. 8. No. 4. P. 201. DOI: 10.36868/ejmse.2023.08.04.201</mixed-citation><mixed-citation xml:lang="en">Balţatu M., Vizureanu P., Sandu A., et al. Prospects on titanium biomaterials / Eur. J. Mater. Sci. Eng. 2023. Vol. 8. No. 4. P. 201. DOI: 10.36868/ejmse.2023.08.04.201</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Yi B., Zhou S., Qiu Z., et al. The influences of pulsed bias duty cycle on tribological properties of solid lubricating TiMoCN coatings / Vacuum. 2020. Vol. 180. P. 109552. DOI: 10.1016/j.vacuum.2020.109552</mixed-citation><mixed-citation xml:lang="en">Yi B., Zhou S., Qiu Z., et al. The influences of pulsed bias duty cycle on tribological properties of solid lubricating TiMoCN coatings / Vacuum. 2020. Vol. 180. P. 109552. DOI: 10.1016/j.vacuum.2020.109552</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Khidirov I., Jaksimuratov I., Khallokov F. Study of the structure and properties of interstitial alloys TixMo1 – xCyNz / Industr. Lab. Mater. Diagn. 2024. Vol. 90. No. 3. P. 32 [in Russian]. DOI: 10.26896/1028-6861-2024-90-3-32-38</mixed-citation><mixed-citation xml:lang="en">Khidirov I., Jaksimuratov I., Khallokov F. Study of the structure and properties of interstitial alloys TixMo1 – xCyNz / Industr. Lab. Mater. Diagn. 2024. Vol. 90. No. 3. P. 32 [in Russian]. DOI: 10.26896/1028-6861-2024-90-3-32-38</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Ivashchenko V. I., Turchi P. E. A., Shevchenko V. I., et al. Stability and mechanical properties of molybdenum carbides and the Ti-Mo-C solid solutions: a first-principles study / Mater. Chem. Phys. 2022. Vol. 275. P. 125178. DOI: 10.1016/j.matchemphys.2021.125178</mixed-citation><mixed-citation xml:lang="en">Ivashchenko V. I., Turchi P. E. A., Shevchenko V. I., et al. Stability and mechanical properties of molybdenum carbides and the Ti-Mo-C solid solutions: a first-principles study / Mater. Chem. Phys. 2022. Vol. 275. P. 125178. DOI: 10.1016/j.matchemphys.2021.125178</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Cao Z., Jin N., Ye J., et al. A first principles investigation on the solid solution behavior of transition metal elements (W, Mo, Ta, Cr) in Ti(C, N) / Int. J. Refr. Met. Hard Mater. 2021. Vol. 99. P. 105605. DOI: 10.1016/j.ijrmhm.2021.105605</mixed-citation><mixed-citation xml:lang="en">Cao Z., Jin N., Ye J., et al. A first principles investigation on the solid solution behavior of transition metal elements (W, Mo, Ta, Cr) in Ti(C, N) / Int. J. Refr. Met. Hard Mater. 2021. Vol. 99. P. 105605. DOI: 10.1016/j.ijrmhm.2021.105605</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Xiong Z., Ye J., Liu Y., et al. Study on the phase evolution, microstructure and densification behavior of (Ti, M)(C, N)-based cermets / Mater. Chem. Phys. 2020. Vol. 240. P. 122249. DOI: 10.1016/j.matchemphys.2019.122249</mixed-citation><mixed-citation xml:lang="en">Xiong Z., Ye J., Liu Y., et al. Study on the phase evolution, microstructure and densification behavior of (Ti, M)(C, N)-based cermets / Mater. Chem. Phys. 2020. Vol. 240. P. 122249. DOI: 10.1016/j.matchemphys.2019.122249</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Lv J., Du Y., Peng Y., et al. Effect of C content on the surface gradient structure of (Ti, Mo)(C, N) and Ti(C, N)-based cermets / J. Mater. Res. Technol. 2022. Vol. 16. P. 544 – 554. DOI: 10.1016/j.jmrt.2021.12.021</mixed-citation><mixed-citation xml:lang="en">Lv J., Du Y., Peng Y., et al. Effect of C content on the surface gradient structure of (Ti, Mo)(C, N) and Ti(C, N)-based cermets / J. Mater. Res. Technol. 2022. Vol. 16. P. 544 – 554. DOI: 10.1016/j.jmrt.2021.12.021</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Li J., Chen Y., Guan C., et al. Microstructure and wear resistance of in situ synthesized Ti(C, N) ceramic-reinforced nickel-based coatings by laser cladding / Materials. 2024. Vol. 17. No. 15. P. 3878. DOI: 10.3390/ma17153878</mixed-citation><mixed-citation xml:lang="en">Li J., Chen Y., Guan C., et al. Microstructure and wear resistance of in situ synthesized Ti(C, N) ceramic-reinforced nickel-based coatings by laser cladding / Materials. 2024. Vol. 17. No. 15. P. 3878. DOI: 10.3390/ma17153878</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Zhao Z., Jia P., Zhang Y. Preparation of ultrafine Co- and Ni-coated (Ti, W, Mo, Ta)(C, N) powders and their influence on the microstructure of Ti(C, N)-based cermets / Materials. 2024. Vol. 17. No. 8. P. 1807. DOI: 10.3390/ma17081807</mixed-citation><mixed-citation xml:lang="en">Zhao Z., Jia P., Zhang Y. Preparation of ultrafine Co- and Ni-coated (Ti, W, Mo, Ta)(C, N) powders and their influence on the microstructure of Ti(C, N)-based cermets / Materials. 2024. Vol. 17. No. 8. P. 1807. DOI: 10.3390/ma17081807</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Khidirov I., Rakhmanov S., Parpiev A. Neutron diffraction study of the Ti1 – xMoxCy alloy / J. Phys. Conf. Ser. 2022. Vol. 2155. P. 012010. DOI: 10.1088/1742-6596/2155/1/012010</mixed-citation><mixed-citation xml:lang="en">Khidirov I., Rakhmanov S., Parpiev A. Neutron diffraction study of the Ti1 – xMoxCy alloy / J. Phys. Conf. Ser. 2022. Vol. 2155. P. 012010. DOI: 10.1088/1742-6596/2155/1/012010</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Gabbasov R. M., Salamatov V. G. Features of the thermal structure of reaction waves in the Ti-Mo-N2 system / J. Phys. Conf. Ser. 2020. Vol. 1459. P. 012012. DOI: 10.1088/1742-6596/1459/1/012012</mixed-citation><mixed-citation xml:lang="en">Gabbasov R. M., Salamatov V. G. Features of the thermal structure of reaction waves in the Ti-Mo-N2 system / J. Phys. Conf. Ser. 2020. Vol. 1459. P. 012012. DOI: 10.1088/1742-6596/1459/1/012012</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Pitkälä J., Holappa L., Jokilaakso A. Nitrogen control in production of N-alloyed stainless steels in AOD converter: application of Sieverts’ law / Metallurg. Mater. Trans. B. 2024. Vol. 55. No. 1. P. 524 – 536. DOI: 10.1007/s11663-023-02974-3</mixed-citation><mixed-citation xml:lang="en">Pitkälä J., Holappa L., Jokilaakso A. Nitrogen control in production of N-alloyed stainless steels in AOD converter: application of Sieverts’ law / Metallurg. Mater. Trans. B. 2024. Vol. 55. No. 1. P. 524 – 536. DOI: 10.1007/s11663-023-02974-3</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Dronskowski R., Brückel T., Kohlmann H. Neutron diffraction: a primer / Zeitschr. Kristallogr. — Cryst. Mater. 2024. Vol. 239. Nos. 5 – 6. P. 139 – 166. DOI: 10.1515/zkri-2024-0001</mixed-citation><mixed-citation xml:lang="en">Dronskowski R., Brückel T., Kohlmann H. Neutron diffraction: a primer / Zeitschr. Kristallogr. — Cryst. Mater. 2024. Vol. 239. Nos. 5 – 6. P. 139 – 166. DOI: 10.1515/zkri-2024-0001</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Stefanopoulos K. L. Probing the behaviour of fluids confined in porous materials by neutron scattering: applications to CO2 sequestration and enhanced oil and gas recovery / Chem. Plus Chem. 2024. Vol. 89. P. 1 – 24. DOI: 10.1002/cplu.202400353</mixed-citation><mixed-citation xml:lang="en">Stefanopoulos K. L. Probing the behaviour of fluids confined in porous materials by neutron scattering: applications to CO2 sequestration and enhanced oil and gas recovery / Chem. Plus Chem. 2024. Vol. 89. P. 1 – 24. DOI: 10.1002/cplu.202400353</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Xu G., Liu W., Yi C. Formation of solid solution structures in (Ti, W, Ta, Mo)(C, N) cermet via spark plasma sintering / Int. J. Refr. Met. Hard Mater. 2023. Vol. 113. P. 106218. DOI: 10.1016/j.ijrmhm.2023.106218</mixed-citation><mixed-citation xml:lang="en">Xu G., Liu W., Yi C. Formation of solid solution structures in (Ti, W, Ta, Mo)(C, N) cermet via spark plasma sintering / Int. J. Refr. Met. Hard Mater. 2023. Vol. 113. P. 106218. DOI: 10.1016/j.ijrmhm.2023.106218</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Rietveld H. M. Line profiles of neutron powder-diffraction peaks for structure refinement / Acta Crystallogr. 1967. Vol. 22. P. 151 – 152. DOI: 10.1107/s0365110x67000234</mixed-citation><mixed-citation xml:lang="en">Rietveld H. M. Line profiles of neutron powder-diffraction peaks for structure refinement / Acta Crystallogr. 1967. Vol. 22. P. 151 – 152. DOI: 10.1107/s0365110x67000234</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Carvajal R., Resent J. Developments of the program Fullprof, in commission on powder diffraction (IUCr) / Newsletter. 2001. Vol. 26. P. 12 – 19.</mixed-citation><mixed-citation xml:lang="en">Carvajal R., Resent J. Developments of the program Fullprof, in commission on powder diffraction (IUCr) / Newsletter. 2001. Vol. 26. P. 12 – 19.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Nagy E., Kristály F., Mertinger V. Application of Rietveld refinement in orientated material structures / IOP Conf. Ser. Mater. Sci. Eng. 2020. Vol. 903. P. 012028. DOI: 10.1088/1757-899x/903/1/012028</mixed-citation><mixed-citation xml:lang="en">Nagy E., Kristály F., Mertinger V. Application of Rietveld refinement in orientated material structures / IOP Conf. Ser. Mater. Sci. Eng. 2020. Vol. 903. P. 012028. DOI: 10.1088/1757-899x/903/1/012028</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Bacon G. E. Neutron diffraction. — Oxford: Clarendon, 1955. — 426 p.</mixed-citation><mixed-citation xml:lang="en">Bacon G. E. Neutron diffraction. — Oxford: Clarendon, 1955. — 426 p.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Dawidowski J., Granada J., Santisteban J., et al. Appendix — neutron scattering lengths and cross sections / Exp. Meth. Phys. Sci. 2013. Vol. 44. P. 471. DOI: 10.1016/b978-0-12-398374-9.09989-7</mixed-citation><mixed-citation xml:lang="en">Dawidowski J., Granada J., Santisteban J., et al. Appendix — neutron scattering lengths and cross sections / Exp. Meth. Phys. Sci. 2013. Vol. 44. P. 471. DOI: 10.1016/b978-0-12-398374-9.09989-7</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Valiev E. Z., Zeldovich V. I., Teplykh A. E., et al. Long-range atomic order and martensitic transformations in titanium nickelide / Phys. Met. Metallogr. 2002. Vol. 93. No. 5. P. 465 – 469.</mixed-citation><mixed-citation xml:lang="en">Valiev E. Z., Zeldovich V. I., Teplykh A. E., et al. Long-range atomic order and martensitic transformations in titanium nickelide / Phys. Met. Metallogr. 2002. Vol. 93. No. 5. P. 465 – 469.</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Hicks D., Mehl M., Esters M., et al. The AFLOW library of crystallographic prototypes: part 3 / Comput. Mater. Sci. 2021. Vol. 199. P. 110450. DOI: 10.1016/j.commatsci.2021.110450</mixed-citation><mixed-citation xml:lang="en">Hicks D., Mehl M., Esters M., et al. The AFLOW library of crystallographic prototypes: part 3 / Comput. Mater. Sci. 2021. Vol. 199. P. 110450. DOI: 10.1016/j.commatsci.2021.110450</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Garrett S. J. Introduction to actuarial and financial mathematical methods. — London: Acad. Press, 2015. — 411 p.</mixed-citation><mixed-citation xml:lang="en">Garrett S. J. Introduction to actuarial and financial mathematical methods. — London: Acad. Press, 2015. — 411 p.</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Biwer C., Feng Z., Finstad D., et al. Spotlight: efficient automated global optimization in Rietveld analysis of diffraction data / Sci. Rep. 2025. Vol. 15. No. 1. P. 8358. DOI: 10.1038/s41598-025-92452-4</mixed-citation><mixed-citation xml:lang="en">Biwer C., Feng Z., Finstad D., et al. Spotlight: efficient automated global optimization in Rietveld analysis of diffraction data / Sci. Rep. 2025. Vol. 15. No. 1. P. 8358. DOI: 10.1038/s41598-025-92452-4</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>
