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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">10.17586/2220-8054-2016-7-6-1017-1023</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-840</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>The dependence of the critical energy density and hot-spot temperature on the radius of metal nanoparticles in PETN</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>Zvekov</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="en"><p>Kemerovo, 650000</p></bio><email xlink:type="simple">kriger@kemsu.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>Nikitin</surname><given-names>A. P.</given-names></name></name-alternatives><bio xml:lang="en"><p>Kemerovo, 650000</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Galkina</surname><given-names>E. V.</given-names></name></name-alternatives><bio xml:lang="en"><p>Kemerovo, 650000</p></bio><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Kalenskii</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="en"><p>Kemerovo, 650000</p></bio><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>Federal Research Center of coal and coal chemistry SB RAS (Institute of Coal Chemistry and Material Science SB RAS)</institution><country>Russian Federation</country></aff><aff xml:lang="en" id="aff-2"><institution>Kemerovo state 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>1017</fpage><lpage>1023</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Zvekov A.A., Nikitin A.P., Galkina E.V., Kalenskii A.V., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Zvekov A.A., Nikitin A.P., Galkina E.V., Kalenskii A.V.</copyright-holder><copyright-holder xml:lang="en">Zvekov A.A., Nikitin A.P., Galkina E.V., Kalenskii A.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/840">https://nanojournal.ifmo.ru/jour/article/view/840</self-uri><abstract><p>The dependencies of critical energy density and corresponding hot-spot temperature were calculated in terms of thermal model of energetic materials laser initiation for 12 metal nanoparticles in pentaerythritol tetranitrate (PETN) at pulse duration 12 ns. We showed that the critical hot-spot temperature depends mostly on the nanoparticle’s radius while its dependence on the specific heat of the metal is much weaker. The equations for the critical parameters of initiation on radius and specific heat of the nanoparticles were derived. The results are essential for the explosive compounds for optical detonator cup optimization.</p></abstract><kwd-group xml:lang="en"><kwd>pentaerythritol tetranitrate</kwd><kwd>metal nanoparticles</kwd><kwd>laser radiation</kwd><kwd>hot-spot model</kwd></kwd-group><funding-group><funding-statement xml:lang="en">This work was supported by Ministry of Education and Science of the Russian Federation (governmental project No. 2014/64) and Russian Foundation for Basic Research for the financial support (grant 14-03-31648).</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">Chernai A.V., Sobolev V.V., Chernai V.A., Ilyushin M.A., Dlugashek A. Laser Ignition of Explosive Compositions Based on di-(3- hydrazino-4-amino-1,2,3-triazole)-Copper(II) Perchlorate. 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