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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">10.17586/2220-8054-2016-7-6-1002-1009</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-837</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>Assessment for applicability of the “tangent technique” in X-ray small-angle scattering</article-title><trans-title-group xml:lang="ru"><trans-title></trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Smirnov</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="en"><p>49, Kronverkskiy, St. Petersburg, 197101</p></bio><email xlink:type="simple">borfedorov1@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Kalyakin</surname><given-names>V. Yu.</given-names></name></name-alternatives><bio xml:lang="en"><p>49, Kronverkskiy, St. Petersburg, 197101</p></bio><email xlink:type="simple">smirnav_2@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Fedorov</surname><given-names>B. A.</given-names></name></name-alternatives><bio xml:lang="en"><p>49, Kronverkskiy, St. Petersburg, 197101</p></bio><email xlink:type="simple">slav.yrich@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>ITMO University</institution><country>Russian Federation</country></aff><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>6</issue><fpage>1002</fpage><lpage>1009</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Smirnov A.V., Kalyakin V.Y., Fedorov B.A., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Smirnov A.V., Kalyakin V.Y., Fedorov B.A.</copyright-holder><copyright-holder xml:lang="en">Smirnov A.V., Kalyakin V.Y., Fedorov B.A.</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/837">https://nanojournal.ifmo.ru/jour/article/view/837</self-uri><abstract><p>A number of simple model systems are used to examine the applicability of the “tangent technique”, employed in the small-angle X-ray scattering for estimating the particle size distribution function, as well as to ascertain the relative contributions of the scattering intensity by differently sized particles to the total scattering intensity. The undertaken analysis has shown that, even in the most favorable case-an ensemble of two groups of different-size particles-the “tangent technique” cannot be used either to find the particle size proper, or to ascertain the relative contributions of individual groups to the total scattering intensity.</p></abstract><kwd-group xml:lang="en"><kwd>small-angle X-ray scattering</kwd><kwd>size distribution of nanoparticles</kwd><kwd>Guinier plot</kwd></kwd-group><funding-group><funding-statement xml:lang="en">The authors are grateful to ITMO university student N. S. Bondarev for his assistance in calculations.</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">Porai-Koshits E.A. Small Angle X-Ray Diffuse Scattering. Uspekhi fizicheskikh nauk, 1949, 39(4), P. 573–611.</mixed-citation><mixed-citation xml:lang="en">Porai-Koshits E.A. 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