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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="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">10.17586/2220-8054-2021-12-6-672-679</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-551</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>PHYSICS</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ФИЗИКА</subject></subj-group></article-categories><title-group><article-title>Ab initio calculations of layered compounds consisting of sp3 or sp+sp2 hybridized carbon atoms</article-title><trans-title-group xml:lang="ru"><trans-title>Ab initio calculations of layered compounds consisting of sp3 or sp+sp2 hybridized carbon atoms</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>Belenkov</surname><given-names>E. A.</given-names></name><name name-style="western" xml:lang="en"><surname>Belenkov</surname><given-names>E. A.</given-names></name></name-alternatives><bio xml:lang="en"><p>129, Bratiev Kashirinykh,  Chelyabinsk, 454001.</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>Greshnyakov</surname><given-names>V. A.</given-names></name><name name-style="western" xml:lang="en"><surname>Greshnyakov</surname><given-names>V. A.</given-names></name></name-alternatives><bio xml:lang="en"><p>129, Bratiev Kashirinykh,  Chelyabinsk, 454001.</p></bio><email xlink:type="simple">greshnyakov@csu.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>Mavrinskii</surname><given-names>V. V.</given-names></name><name name-style="western" xml:lang="en"><surname>Mavrinskii</surname><given-names>V. V.</given-names></name></name-alternatives><bio xml:lang="en"><p>38, Lenin Street, Magnitogorsk, 455000.</p></bio><email xlink:type="simple">gefest80@gmail.com</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>Chelyabinsk State University</institution><country>Russian Federation</country></aff><aff xml:lang="en" id="aff-2"><institution>Nosov Magnitogorsk State Technical University</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2021</year></pub-date><pub-date pub-type="epub"><day>07</day><month>08</month><year>2025</year></pub-date><volume>12</volume><issue>6</issue><fpage>672</fpage><lpage>679</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Belenkov E.A., Greshnyakov V.A., Mavrinskii V.V., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Belenkov E.A., Greshnyakov V.A., Mavrinskii V.V.</copyright-holder><copyright-holder xml:lang="en">Belenkov E.A., Greshnyakov V.A., Mavrinskii V.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/551">https://nanojournal.ifmo.ru/jour/article/view/551</self-uri><abstract><p>The density functional theory method was used to study new layered carbon nanostructures consisting of sp3- and sp+sp2-hybridized atoms. The nanostructures are theoretically built on the basis of graphene 5 – 7 layers. As a result of calculations, it is found that the structures of two diamondlike bilayers and twenty-one graphyne layers are stable. The diamond-like bilayers have a band gap of ∼ 1.8 eV, so their properties should be semiconducting. For fourteen graphyne layers, the band gap is zero and their properties are metallic. Seven graphyne layers have band gaps ranging from 0.05 to 0.2 eV.</p></abstract><trans-abstract xml:lang="ru"><p>Методом теории функционала плотности исследованы новые слоистые углеродные наноструктуры, состоящие из sp3- и sp+sp2-гибридизированных атомов. Наноструктуры теоретически строятся на основе 5-7 слоев графена. В результате расчетов установлено, что структуры из двух алмазоподобных бислоев и двадцати одного графинового слоя устойчивы. Алмазоподобные бислои имеют ширину запрещенной зоны ~ 1,8 эВ, поэтому их свойства должны быть полупроводниковыми. Для четырнадцати слоев графина ширина запрещенной зоны равна нулю, а их свойства являются металлическими. Семь графиновых слоев имеют ширину запрещенной зоны от 0,05 до 0,2 эВ.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>графен</kwd><kwd>алмазоподобные бислои</kwd><kwd>слои графена</kwd><kwd>компьютерное моделирование</kwd></kwd-group><kwd-group xml:lang="en"><kwd>graphene</kwd><kwd>diamond-like bilayers</kwd><kwd>graphyne layers</kwd><kwd>computer simulation</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">Belenkov E.A., Greshnyakov V.A. Classification schemes of carbon phases and nanostructures. New Carbon Materials, 2013, 28 (4), P. 273– 283.</mixed-citation><mixed-citation xml:lang="en">Belenkov E.A., Greshnyakov V.A. Classification schemes of carbon phases and nanostructures. 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