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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">nuc</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник НЯЦ РК</journal-title><trans-title-group xml:lang="en"><trans-title>NNC RK Bulletin</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1729-7516</issn><issn pub-type="epub">1729-7885</issn><publisher><publisher-name>Национальный ядерный центр Республики Казахстан</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.52676/1729-7885-2023-2-66-73</article-id><article-id custom-type="elpub" pub-id-type="custom">nuc-516</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>Статьи</subject></subj-group></article-categories><title-group><article-title>ПЕРВОПРИНЦИПНЫЕ ИССЛЕДОВАНИЯ СПЛАВОВ ГЕЙСЛЕРА X2FeSi</article-title><trans-title-group xml:lang="en"><trans-title>FIRST-PRINCIPLES STUDIES OF X2FeSi HEUSLER ALLOYS</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>Мерали</surname><given-names>Н. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Merali</surname><given-names>N. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Техническая физика, доцент</p><p>Астана</p></bio><bio xml:lang="en"><p>Astana</p></bio><email xlink:type="simple">aisulu-us1980@yandex.kz</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>Солтанбек</surname><given-names>Н. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Soltanbek</surname><given-names>N. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Астана</p></bio><bio xml:lang="en"><p>Astana</p></bio><email xlink:type="simple">aisulu-us1980@yandex.kz</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>Абуова</surname><given-names>Ф. У.</given-names></name><name name-style="western" xml:lang="en"><surname>Abuova</surname><given-names>F. U.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Астана</p></bio><bio xml:lang="en"><p>Astana</p></bio><email xlink:type="simple">aisulu-us1980@yandex.kz</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>Инербаев</surname><given-names>Т. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Inerbaev</surname><given-names>T. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Астана, Новосибирск</p></bio><bio xml:lang="en"><p>Astana, Novosibirsk</p></bio><email xlink:type="simple">aisulu-us1980@yandex.kz</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>Нуркенов</surname><given-names>С. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Nurkenov</surname><given-names>S. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Астана</p></bio><bio xml:lang="en"><p>Astana</p></bio><email xlink:type="simple">aisulu-us1980@yandex.kz</email><xref ref-type="aff" rid="aff-3"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0009-6574-9905</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Абуова</surname><given-names>А. У.</given-names></name><name name-style="western" xml:lang="en"><surname>Abuova</surname><given-names>А. U.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Айсулу Усеновна Абуова</p><p>Астана</p></bio><bio xml:lang="en"><p>Astana</p></bio><email xlink:type="simple">aisulu-us1980@yandex.kz</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">НАО «Евразийский национальный университет им. Л.Н. Гумилева»<country>Казахстан</country></aff><aff xml:lang="en">L.N. Gumilyov Eurasian National University<country>Kazakhstan</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru">НАО «Евразийский национальный университет им. Л.Н. Гумилева»; Институт геологии и минералогии им. Соболева РАН<country>Казахстан</country></aff><aff xml:lang="en">L.N. Gumilyov Eurasian National University; Sobolev Institute of Geology and Mineralogy<country>Kazakhstan</country></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru">НАО «Евразийский национальный университет им. Л.Н. Гумилева»; Астанинский международный университет<country>Казахстан</country></aff><aff xml:lang="en">L.N. Gumilyov Eurasian National University; Astana International University<country>Kazakhstan</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2023</year></pub-date><pub-date pub-type="epub"><day>06</day><month>07</month><year>2023</year></pub-date><volume>0</volume><issue>2</issue><fpage>66</fpage><lpage>73</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Мерали Н.А., Солтанбек Н.С., Абуова Ф.У., Инербаев Т.М., Нуркенов С.А., Абуова А.У., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Мерали Н.А., Солтанбек Н.С., Абуова Ф.У., Инербаев Т.М., Нуркенов С.А., Абуова А.У.</copyright-holder><copyright-holder xml:lang="en">Merali N.A., Soltanbek N.S., Abuova F.U., Inerbaev T.M., Nurkenov S.A., Abuova А.U.</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://journals.nnc.kz/jour/article/view/516">https://journals.nnc.kz/jour/article/view/516</self-uri><abstract><p>В рамках теории функционала плотности изучены характеристики, связанные с электричеством и магнетизмом в сплавах Гейслера как с полной (L21), так и с инверсной (XA) структурой X2FeSi (X = Mn, V). Расчеты проводились на трех различных функционалах: LDA, GGA и мета-GGA. Цель состояла в том, чтобы исследовать энергетическую стабильность структур L21 и XA для этих композиций. Полученные данные показали, что структура ХА является энергетически стабильной для обеих структур. Отмечено, что выбор функционала не оказывает качественного влияния на энергетическую устойчивость фаз. На основе расчетов было установлено, что meta-GGA (SCAN) более точно описывает электронные свойства этих сплавов. В процессе расчетов было установлено, что эти соединения являются полуметаллами. Был проведен анализ с точки зрения местной окружающей среды, чтобы исследовать и понять причины полуметаллической запрещенной зоны и изменения электронных и магнитных свойств, наблюдаемые в соединениях Гейслера. Расчеты также показали, что магнитный момент Mn2FeSi для обеих структур составляет 1,99 µБ/ф.е. Для V2FeSi µ = 2,00 µБ/ф.е. для структуры XA и µ = 2,37 µБ/ф.е. для структуры L21. Эти расчеты согласуются с правилом Слейтера-Полинга для XA-структуры.</p></abstract><trans-abstract xml:lang="en"><p>The characteristics related to electricity and magnetism in Heusler alloys with both full (L21) and inverse (XA) structures X2FeSi (X = Mn, V) have been studied within the framework of the Density Functional Theory. Three different methods, namely LDA, GGA, and SCAN, were used to perform calculations. The aim was to investigate the energy stability of the L21 and XA structures for these compositions. The findings revealed that the XA structure is energetically stable for both structures. The choice of functional is indicated does not have a qualitative effect on the energy stability of the phases. Based on calculations, it was found that meta-GGA (SCAN) more accurately describes the electronic properties of these alloys. In the process of the calculations, it was found that these compounds are semimetals. An analysis was conducted from a local environment perspective to investigate and understand the reasons behind the semi-metallic band gap and the variations in electronic and magnetic properties observed in Heusler compounds. Calculations also showed that the magnetic moment Mn2FeSi for both structures was 1.99 µB/f.u. With regard to V2FeSi, µ = 2.00 µB/f.u. for structure XA and µ = 2.37 µB/f.u. for structure L21. These calculations are consistent with the Slater-Pauling rule for the XA structure.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>сплавы Гейслера</kwd><kwd>теория функционала плотности</kwd><kwd>магнитные свойства</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Heusler alloys</kwd><kwd>DFT study</kwd><kwd>magnetic properties</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">M.N. Rasul, A. Javed, M.A. Khan, A. Hussain, Structural stability, mechanical, electronic and magnetic behavior of quaternary ScNiCrX (X = Al, Ga) Heusler alloys under pressure, Mater. Chem. Phys. 222 (2018) 321–332. https://doi.org/10.1016/j.matchemphys.2018.09.015</mixed-citation><mixed-citation xml:lang="en">M.N. Rasul, A. Javed, M.A. Khan, A. Hussain, Structural stability, mechanical, electronic and magnetic behavior of quaternary ScNiCrX (X = Al, Ga) Heusler alloys under pressure, Mater. Chem. Phys. 222 (2018) 321–332, https://doi.org/10.1016/j.matchemphys.2018.09.015.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">A. Abada, K. Amara, S. Hiadsi, B. Amrani, First principles study of a new halfmetallic ferrimagnets Mn2based full Heusler compounds: Mn2ZrSi and Mn2ZrGe, J. Magn. Magn. Mater. 388 (2015) 59–67. https://doi.org/10.1016/j.jmmm.2015.04.023</mixed-citation><mixed-citation xml:lang="en">A. Abada, K. Amara, S. Hiadsi, B. Amrani, First principles study of a new halfmetallic ferrimagnets Mn2-based full Heusler compounds: Mn2ZrSi and Mn2ZrGe, J. Magn. Magn Mater. 388 (2015) 59–67, https://doi.org/10.1016/j.jmmm.2015.04.023.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Y. Ze-Jin, G. Qing-He, X. Heng-Na, et al., Pressureinduced magnetic moment abnormal increase in Mn2FeAl and non-continuing decrease in Fe2MnAl via first principles, Sci. Rep. 7 (1) (2017) 16522. https://doi.org/10.1038/s41598-017-16735-1</mixed-citation><mixed-citation xml:lang="en">Y. Ze-Jin, G. Qing-He, X. Heng-Na, et al., Pressure-induced magnetic moment abnormal increase in Mn2FeAl and non-continuing decrease in Fe2MnAl via first principles, Sci. Rep. 7 (1) (2017) 16522, https://doi.org/10.1038/s41598-017-16735-1.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">S. Qi, C.-H. Zhang, B. Chen, J. Shen, N. Chen, Firstprinciples study on the ferrimagnetic half-metallic Mn2FeAs alloy, J. Solid State Chem. 225 (2015) 8–12, https://doi.org/10.1016/j.jssc.2014.11.026</mixed-citation><mixed-citation xml:lang="en">S. Qi, C.-H. Zhang, B. Chen, J. Shen, N. Chen, First-principles study on the ferrimagnetic half-metallic Mn2FeAs alloy, J. Solid State Chem. 225 (2015) 8–12, https://doi.org/10.1016/j.jssc.2014.11.026.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">S. Ahmad Khandy, J.-D. Chai, Novel half-metallic L21 structured full-Heusler compound for promising spintronic applications: a DFT-based computer simulation, J. Magn. Magn Mater. (2019) 165289. https://doi.org/10.1016/j.jmmm.2019.165289</mixed-citation><mixed-citation xml:lang="en">S. Ahmad Khandy, J.-D. Chai, Novel half-metallic L21 structured full-Heusler compound for promising spintronic applications: a DFT-based computer simulation, J. Magn. Magn Mater. (2019) 165289, https://doi.org/10.1016/j. jmmm.2019.165289.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">F.U. Abuova, T.M. Inerbayev, A.U. Abuova, G.A. Kaptagay, N.A. Merali, N. Soltanbek // Electronic structure, magnetic properties and stability of Heusler alloys Mn2Co1-хVхZ (Z = Al, Ga). NNC RK Bulletin. – 2020. – No. 4(84). – P. 22–29. [in rus.]</mixed-citation><mixed-citation xml:lang="en">Абуова Ф.У., Инербаев Т.М.,Абуова А.У., Каптагай Г.А., Мерәлі Н.А. Солтанбек Н.С. // Электронная структура, магнитные свойства и стабильность сплавов Гейслера Mn2Co1-хVхZ (Z = Al, Ga). Вестник НЯЦ РК, Курчатов. -2020.- №24. – с 22-29</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Said Bakkar, New Inverse-Heusler Materials with Potential Spintronics Applications Theses. 2207, Southern Illinois University Carbondale, United States, 2017, p. 75.</mixed-citation><mixed-citation xml:lang="en">Said Bakkar, New Inverse-Heusler Materials with Potential Spintronics Applications Theses. 2207, Southern Illinois University Carbondale, United States, 2017, p. 75p.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">A.B. Granovskii, E.A. Soboleva, Fadeev, et al., Martensitic phase transition in magnetic thin films based on inverse Mn2FeSi Heusler alloys, J. Exp. Theor. Phys. 130 (1) (2020) 117–122. https://doi.org/10.1134/s1063776119120033</mixed-citation><mixed-citation xml:lang="en">A.B. Granovskii, E.A. Soboleva, Fadeev, et al., Martensitic phase transition in magnetic thin films based on inverse Mn2FeSi heusler alloys, J. Exp. Theor. Phys.130 (1) (2020) 117–122, https://doi.org/10.1134/s1063776119120033.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Sergey V. Faleev, Yari Ferrante, Jaewoo Jeong, Mahesh G. Samant, Barbara Jones, and Stuart S. P. Parkin, Origin of the Tetragonal Ground State of Heusler Compounds, Phys. Rev. 7 (3) (2017). https://doi.org/10.1103/PhysRevApplied.7.034022</mixed-citation><mixed-citation xml:lang="en">S.V. Faleev, Y. Ferrante, J. Jeong, M.G. Samant, B. Jones, Parkin, Phys. Rev. 7 (3) (2017), https://doi.org/10.1103/PhysRevApplied.7.034022.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Abuova, F., et al., Structural, Electronic and Magnetic Properties of Mn2Co1-xVXZ (Z= Ga, Al) Heusler Alloys: An Insight from DFT Study. Magnetochemistry, 2021. 7(12): p. 159.</mixed-citation><mixed-citation xml:lang="en">Abuova, F., et al., Structural, Electronic and Magnetic Properties of Mn2Co1-xVxZ (Z= Ga, Al) Heusler Alloys: An Insight from DFT Study. Magnetochemistry, 2021. 7(12): p. 159.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Abuova, A., et al., Electronic Properties and Chemical Bonding in V2FeSi and Fe2VSi Heusler Alloys. Crystals, 2022. 12(11): p. 1546.</mixed-citation><mixed-citation xml:lang="en">Abuova, A., et al., Electronic Properties and Chemical Bonding in V2FeSi and Fe2VSi Heusler Alloys. Crystals, 2022. 12(11): p. 1546.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">H. Z. Luo, H. W. Zhang, Z. Y. Zhu, L. Ma, S. F. Xu, G. H. Wu, X. X. Zhu, C. B. Jiang, and H. B. Xu, Half-metallic properties for the Mn2FeZ (⁠Z=Al ⁠, Ga, Si, Ge, Sb) Heusler alloys: A first-principles study, Journal of Applied Physics 103, 083908 (2008). https://doi.org/10.1063/1.2903057</mixed-citation><mixed-citation xml:lang="en">H. Z. Luo, H. W. Zhang, Z. Y. Zhu, L. Ma, S. F. Xu, G. H. Wu, X. X. Zhu, C. B. Jiang, and H. B. Xu    https://aip.scitation.org/doi/10.1063/1.2903057</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">A. Aryal, S. Bakkar, H. Samassekou, et al., Mn2FeSi: an antiferromagnetic inverse-Heusler alloy, J. Alloys Compd. 823 (2020) 153770, https://doi.org/10.1016/j.jallcom.2020.153770</mixed-citation><mixed-citation xml:lang="en">A. Aryal, S. Bakkar, H. Samassekou, et al., Mn2FeSi: an antiferromagnetic inverse - Heusler alloy, J. Alloys Compd. 823 (2020) 153770, https://doi.org/10.1016/j. jallcom.2020.153770</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Jianhua Ma, Jiangang He, Dipanjan Mazumdar, et al., Computational investigation of inverse Heusler compounds for spintronics applications, Phys. Rev. B 98 (2018), 094410. https://doi.org/10.1103/PhysRevB.98.094410</mixed-citation><mixed-citation xml:lang="en">Jianhua Ma, Jiangang He, Dipanjan Mazumdar, et al., Phys. Rev. B 98 (2018), 094410, https://doi.org/10.1103/PhysRevB.98.094410.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Oksana N. Draganyuk, Vyacheslav S. Zhandun*, Natalia G. Zamkova, Half-metallicity in Fe2MnSi and Mn2FeSi Heusler compounds: A comparative ab initio study, Materials Chemistry and Physics, Vol. 271, 2021, 124897. https://doi.org/10.1016/j.matchemphys.2021.124897</mixed-citation><mixed-citation xml:lang="en">Oksana N. Draganyuk , Vyacheslav S. Zhandun *, Natalia G. Zamkova  https://www.sciencedirect.com/science/article/abs/pii/S0254058421006805</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Ondrˇej Životský, Katerˇina Skotnicová, Tomáš Cˇegan, Jan Jurˇica, Lucie Gembalová, František Zažímal and Ivo Szurman, Structural and Magnetic Properties of InverseHeusler Mn2FeSi Alloy Powder Prepared by Ball Milling, Materials (Basel). 2022; 15(3): 697. https://doi.org/10.3390/ma15030697</mixed-citation><mixed-citation xml:lang="en">Ondrˇej Životský , Katerˇina Skotnicová , Tomáš Cˇ egan , Jan Jurˇica, Lucie Gembalová ,František Zažímal  and Ivo Szurman https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8837106/</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">M.A. Zagrebin, V.D. Buchelnikov, V.V. Sokolovskiy, I.A. Taranenko, S.I. Saunina, First Principles Calculations of Magnetic Exchange Parameters of Fe-Mn-Al Heusler Alloys. Solid State Phenomena. – 2014. – Vol. 215. – P. 131–136. https://doi.org/10.4028/www.scientific.net/SSP.215.131</mixed-citation><mixed-citation xml:lang="en">M.A. Zagrebin, V.D. Buchelnikov, V.V. Sokolovskiy, I.A. Taranenko, S.I. Saunina  https://www.scientific.net/SSP.215.131</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">I. Galanakis, K. Özdoğan, E. Şaşıoğlu and B. Aktaş, Doping of Mn2VAl and Mn2VSi Heusler alloys as a route to half-metallic antiferromagnetism, Phys. Rev. B 75, 092407. https://doi.org/10.1103/PhysRevB.75.092407</mixed-citation><mixed-citation xml:lang="en">I. Galanakis, K. Özdoğan, E. Şaşıoğlu and B. Aktaş 10.1103/PhysRevB.75.092407</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Blöchl, P. E. Projector augmented-wave method / P. E. Blöchl // Phys. Rev. − 1994. − V. 50, No. 24. − P. 17953– 17979.</mixed-citation><mixed-citation xml:lang="en">Blöchl, P. E. Projector augmented−wave method / P. E. Blöchl // Phys. Rev. − 1994. − V. 50, N 24. − P. 17953—17979</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">P. Hohenberg and W. Kohn, Inhomogeneous Electron Gas, Phys. Rev. 136, B864 (1964). https://doi.org/10.1103/PhysRev.136.B864</mixed-citation><mixed-citation xml:lang="en">P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964).</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">W. Kohn and L.J. Sham, Self-Consistent Equations Including Exchange and Correlation Effects, Phys. Rev. 140, A1133 (1965). https://doi.org/10.1103/PhysRev.140.A1133</mixed-citation><mixed-citation xml:lang="en">W. Kohn and L.J. Sham, Phys. Rev. 140, A1133 (1965).</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">J.P. Perdew, K. Burke, and M. Ernzerhof, Generalized Gradient Approximation Made Simple, Phys. Rev. Lett. 77, 3865 (1996). https://doi.org/10.1103/PhysRevLett.77.3865</mixed-citation><mixed-citation xml:lang="en">J.P. Perdew, K. Burke, and M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996).</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">J. Sun, R.C. Remsing, Y. Zhang, Z. Sun, A. Ruzsinszky, H. Peng, Z. Yang, A. Paul, U. Waghmare, X. Wu, M.L. Klein, and J.P. Perdew, Accurate first-principles structures and energies of diversely bonded systems from an efficient density functional, Nat. Chem. 8, 831 (2016). https://doi.org/10.1038/nchem.2535</mixed-citation><mixed-citation xml:lang="en">J. Sun, R.C. Remsing, Y. Zhang, Z. Sun, A. Ruzsinszky, H. Peng, Z. Yang, A. Paul, U. Waghmare, X. Wu, M.L. Klein, and  J.P. Perdew, Nat. Chem. 8, 831 (2016).</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">J. Sun, B. Xiao, Y. Fang, R. Haunschild, P. Hao, A. Ruzsinszky, G.I. Csonka, G.E. Scuseria, and J.P. Perdew, Density Functionals that Recognize Covalent, Metallic, and Weak Bonds, Phys. Rev. Lett. 111, 106401 (2013). https://doi.org/10.1103/PhysRevLett.111.106401</mixed-citation><mixed-citation xml:lang="en">J. Sun, B. Xiao, Y. Fang, R. Haunschild, P. Hao, A. Ruzsinszky, G.I. Csonka, G.E. Scuseria, and J.P. Perdew, Phys. Rev.  Lett. 111, 106401 (2013).</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">I. Galanakis, P.H. Dederichs, N. Papanikolaou, Slater-Pauling behavior and origin of the half-metallicity of the full-Heusler alloys, Phys. Rev. B 66 (2002) 174429.</mixed-citation><mixed-citation xml:lang="en">I. Galanakis, P.H. Dederichs, N. Papanikolaou, Slater-Pauling behavior and origin of the half-metallicity of the full-Heusler alloys, Phys. Rev. B 66 (2002) 174429.</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">S. Skaftouros, K. Özdoğan, E. Şaşıoğlu, and I. Galanakis, Generalized Slater-Pauling rule for the inverse Heusler compounds, Phys. Rev. B 87, 024420. https://doi.org/10.1103/PhysRevB.87.024420</mixed-citation><mixed-citation xml:lang="en">S. Skaftouros, K. O¨ zdog˘an, E. S¸ as¸ıog˘lu, and I. Galanakis  https://www.researchgate.net/publication/232503478_Generalized_Slater Pauling_rule_for_the_inverse_Heusler_compounds</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">N.G. Zamkova, V.S. Zhandun, S.G. Ovchinnikov, I.S. Sandalov, Effect of local environment on moment formation in iron silicides, J. Alloys Compd. 695 (2017) 1213–1222.</mixed-citation><mixed-citation xml:lang="en">N.G. Zamkova, V.S. Zhandun, S.G. Ovchinnikov, I.S. Sandalov, Effect of local environment on moment formation in iron silicides, J. Alloys Compd. 695 (2017) 1213–1222.</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">F.U. Abuova, T.M. Inerbaev, A.U. Abuova, G.A. Kaptagay, N.A. Merali, Structural, electronic and magnetic properties of vanadium doped Mn2CoZ(Al/Ga). News of the Academy of Sciences of the Republic of Kazakhstan. аl-Farabi Kazakh National University. 5 (339), 2021 [in rus.]. https://doi.org/10.32014/2021.25181726.79</mixed-citation><mixed-citation xml:lang="en">Абуова Ф.У., Инербаев Т.М.,Абуова А.У., Каптагай Г.А., Мерәлі Н.А. // Структурные, электронные и магнитные свойства Mn2CoZ(Al/Ga) при легировании ванадием. Известия НАН. РК. Казахский национальный университет имени аль-Фараби. 5 (339), 2021. https://doi.org/10.32014/2021.2518-1726.79</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>
