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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">10.17586/2220-8054-2016-7-2-340-348</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-833</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>CONTRIBUTED TALKS</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>CONTRIBUTED TALKS</subject></subj-group></article-categories><title-group><article-title>An interpretation of the strongest X-ray diffraction peak for various carbon nanoclusters</article-title><trans-title-group xml:lang="ru"><trans-title>An interpretation of the strongest X-ray diffraction peak for various carbon nanoclusters</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>Siklitskaya</surname><given-names>A. V.</given-names></name><name name-style="western" xml:lang="en"><surname>Siklitskaya</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Warsaw</p></bio><bio xml:lang="en"><p>Warsaw</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>Yastrebov</surname><given-names>S. G.</given-names></name><name name-style="western" xml:lang="en"><surname>Yastrebov</surname><given-names>S. G.</given-names></name></name-alternatives><bio xml:lang="ru"><p>St. Petersburg</p></bio><bio xml:lang="en"><p>St. Petersburg</p></bio><email xlink:type="simple">Yastrebov@mail.ioffe.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>Smith</surname><given-names>R.</given-names></name><name name-style="western" xml:lang="en"><surname>Smith</surname><given-names>R.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Loughborough</p></bio><bio xml:lang="en"><p>Loughborough</p></bio><xref ref-type="aff" rid="aff-3"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Institute of Theoretical Physics, University of Warsaw</institution></aff><aff xml:lang="en"><institution>Institute of Theoretical Physics, University of Warsaw</institution></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Ioffe Institute</institution></aff><aff xml:lang="en"><institution>Ioffe Institute</institution></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru"><institution>Loughborough University, Department of Mathematical Sciences</institution></aff><aff xml:lang="en"><institution>Loughborough University, Department of Mathematical Sciences</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2016</year></pub-date><pub-date pub-type="epub"><day>13</day><month>08</month><year>2025</year></pub-date><volume>7</volume><issue>2</issue><issue-title>Special Issue</issue-title><fpage>340</fpage><lpage>348</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Siklitskaya A.V., Yastrebov S.G., Smith R., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Siklitskaya A.V., Yastrebov S.G., Smith R.</copyright-holder><copyright-holder xml:lang="en">Siklitskaya A.V., Yastrebov S.G., Smith R.</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/833">https://nanojournal.ifmo.ru/jour/article/view/833</self-uri><abstract><p>The most intensive X-ray diffraction peaks for three types of carbon allotropes are analyzed: i) temperature-annealed nanodiamond powder (carbon “onions”), ii) multi-walled carbon nanotubes, iii) layers of epitaxial graphene. A reconstruction of the X-ray diffraction pattern using an intershell distribution, obtained by high resolution transmission electron microscopy, was compared to the XRD data. For a qualitative analysis of the diffraction profiles, the method of convolution of Lorentzians (size broadening profile), together with a statistical consideration of interlayer spacings (lattice strain broadening profile) were used. For the case of iii) the statistical distribution reduces to a Gaussian and the method itself transforms to a best fit procedure of the classical Voigt function to the experimental data. For cases i) and ii) and the high-resolution electron microscopy-reconstructed data, the method fits the experiment better using either negatively or positively-skewed statistical distributions, correspondingly. A model of particles with a spiral internal structure and with radius-dependent spacings between the successive turns may explain experimental data for these cases. The data for epitaxial graphene allows different interpretations, including fluctuations of lattice spacings caused by distortions of the valence bands and angles in the graphene planes or by the formation of scrolls.</p></abstract><trans-abstract xml:lang="ru"><p>The most intensive X-ray diffraction peaks for three types of carbon allotropes are analyzed: i) temperature-annealed nanodiamond powder (carbon “onions”), ii) multi-walled carbon nanotubes, iii) layers of epitaxial graphene. A reconstruction of the X-ray diffraction pattern using an intershell distribution, obtained by high resolution transmission electron microscopy, was compared to the XRD data. For a qualitative analysis of the diffraction profiles, the method of convolution of Lorentzians (size broadening profile), together with a statistical consideration of interlayer spacings (lattice strain broadening profile) were used. For the case of iii) the statistical distribution reduces to a Gaussian and the method itself transforms to a best fit procedure of the classical Voigt function to the experimental data. For cases i) and ii) and the high-resolution electron microscopy-reconstructed data, the method fits the experiment better using either negatively or positively-skewed statistical distributions, correspondingly. A model of particles with a spiral internal structure and with radius-dependent spacings between the successive turns may explain experimental data for these cases. The data for epitaxial graphene allows different interpretations, including fluctuations of lattice spacings caused by distortions of the valence bands and angles in the graphene planes or by the formation of scrolls.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>graphene</kwd><kwd>carbon onions</kwd><kwd>carbon</kwd><kwd>multiwalled carbon nanotubes</kwd><kwd>X-ray diffraction</kwd></kwd-group><kwd-group xml:lang="en"><kwd>graphene</kwd><kwd>carbon onions</kwd><kwd>carbon</kwd><kwd>multiwalled carbon nanotubes</kwd><kwd>X-ray diffraction</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">Mykhaylyk O. O., Solonin Y. M., Batchelder D. N. et al. 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