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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">phmath</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Государственного университета просвещения. Серия: Физика-Математика</journal-title><trans-title-group xml:lang="en"><trans-title>Bulletin of Federal State University of Education. Series: Physics and Mathematics</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2949-5083</issn><issn pub-type="epub">2949-5067</issn><publisher><publisher-name>Federal State University of Education</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">phmath-378</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>РАЗДЕЛ II. ФИЗИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>SECTION II. PHYSICS</subject></subj-group></article-categories><title-group><article-title>О ВЕЩЕСТВАХ С ОТРИЦАТЕЛЬНОЙ РАЗМЕРНОСТЬЮ КОЛЕБАТЕЛЬНЫХ СПЕКТРОВ</article-title><trans-title-group xml:lang="en"><trans-title>ABOUT MATERIALS WITH NEGATIVE DIMENSION OF VIBRATIONAL SPECTRA</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>Кузнецов</surname><given-names>Вадим Михайлович</given-names></name><name name-style="western" xml:lang="en"><surname>Kuznetsov</surname><given-names>V. .</given-names></name></name-alternatives><email xlink:type="simple">vadim.kuznetsov.З7@mail.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>Терешкина</surname><given-names>К. Б.</given-names></name><name name-style="western" xml:lang="en"><surname>Tereshkina</surname><given-names>K. .</given-names></name></name-alternatives><email xlink:type="simple">ksenia.tereshkina@gmail.com</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Российский химико-технологический университет им. Д.И. Менделеева (РХТУ им. Д.И. Менделеева)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>D. Mendeleyev University of Chemical Technology of Russia</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Российский химико-технологический университет им. Д.И. Менделеева (РХТУ им. Д.И. Менделеева); Институт химической физики им. Н.Н. Семёнова РАН (ИХФ РАН)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>D. Mendeleyev University of Chemical Technology of Russia; Semenov Institute of Chemical Physics of Russian Academy of Sciences</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2014</year></pub-date><pub-date pub-type="epub"><day>20</day><month>01</month><year>2023</year></pub-date><volume>0</volume><issue>4</issue><fpage>69</fpage><lpage>75</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Кузнецов В.М., Терешкина К.Б., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Кузнецов В.М., Терешкина К.Б.</copyright-holder><copyright-holder xml:lang="en">Kuznetsov V..., Tereshkina K...</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://www.physmathmgou.ru/jour/article/view/378">https://www.physmathmgou.ru/jour/article/view/378</self-uri><abstract><p>Обнаружено, что межмолекулярные колебательные спектры малых ван-дер-ваальсовых кластеров, рассчитанные методами ab initio, имеют степенную зависимость от частоты, подобно кристаллическим телам. Однако показатели df их пространственной размерности, в отличие, например, от трёхмерного волнового пространства df=3 (закон Дебая), принимают значения df&lt;1, df=0 и даже могут быть отрицательными. Спектров с размерностью df&lt;0 у веществ ранее обнаружено не было.</p></abstract><trans-abstract xml:lang="en"><p>It was found that intermodular vibrational spectra of Van der Waals clusters, calculated by ab initio methods have power-law dependence on the frequency, like crystalline bodies. However, the argument df of their spatial dimension, in contrast, for example, from the three-dimensional wave space df = 3 (the Debye law), take the values df&lt;1, df=0, and may even be negative. Substances with dimension of spectra df &lt;0, previously were not found.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>димеры</kwd><kwd>тримеры</kwd><kwd>межмолекулярные спектры</kwd><kwd>отрицатель</kwd><kwd>dimers</kwd><kwd>trimmers</kwd><kwd>intermodular spectra</kwd><kwd>negative dimension</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">Кузнецов В.М., Хромов В.И. Фрактальная модификация континуального приближения квантовой теории решёточной теплоемкости. // ПЖТФ. - 2010. - Т. 36. - № 11. - С. 98-103.</mixed-citation><mixed-citation xml:lang="en">Кузнецов В.М., Хромов В.И. 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