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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">techusgu</journal-id><journal-title-group><journal-title xml:lang="ru">Известия Юго-Западного государственного университета. Серия: Техника и технологии</journal-title><trans-title-group xml:lang="en"><trans-title>Proceedings of the Southwest State University. Series: Engineering and Technology</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2223-1528</issn><publisher><publisher-name>Юго-Западный государственный университет</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21869/2223-1528-2024-14-1-88-103</article-id><article-id custom-type="elpub" pub-id-type="custom">techusgu-224</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>ФИЗИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>PHYSICS</subject></subj-group></article-categories><title-group><article-title>Исследование комбинационного рассеяния света в жидких аренах и их галогенозамещенных в низкочастотной области спектра</article-title><trans-title-group xml:lang="en"><trans-title>Study of Raman Scattering of Light in Liquid Arenes and Their Halogen-Substituted ones in the Low-Frequency Region of the Spectrum</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-9017-6285</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Мельников</surname><given-names>Г. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Melnikov</surname><given-names>G. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Мельников Геннадий Александрович, кандидат физико-математических наук, старший научный сотрудник кафедры нанотехнологий, микроэлектроники, общей и прикладной физики</p><p>ул. 50 лет Октября, д. 94, г. Курск 305040</p></bio><bio xml:lang="en"><p>Gennady A. Melnikov, Candidate of Sciences (Physics and Mathematics), Senior Researcher of the Departments of Nanotechnology, Microelectronics, General and Applied Physics</p><p>50 Let Oktyabrya Str. 94, Kursk 305040</p></bio><email xlink:type="simple">melnikovga@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-2807-9887</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Игнатенко</surname><given-names>Н. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Ignatenko</surname><given-names>N. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Игнатенко Николай Михайлович, доктор физико-математических наук, доцент, профессор кафедры нанотехнологий, микроэлектроники, общей и прикладной физики</p><p>ул. 50 лет Октября, д. 94, г. Курск 305040</p></bio><bio xml:lang="en"><p>Nikolay M. Ignatenko, Doctor of Sciences (Physics and Mathematics), Professor of the Departments of Nanotechnology, Microelectronics, General and Applied Physics</p><p>50 Let Oktyabrya Str. 94, Kursk 305040</p></bio><email xlink:type="simple">inmkstu@bk.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>Петрова</surname><given-names>Л. П.</given-names></name><name name-style="western" xml:lang="en"><surname>Petrova</surname><given-names>L. P.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Петрова Людмила Павловна, кандидат физико-математических наук, доцент кафедры нанотехнологий, микроэлектроники, общей и прикладной физики</p><p>ул. 50 лет Октября, д. 94, г. Курск 305040</p></bio><bio xml:lang="en"><p>Ludmila P. Petrova, Candidate of Sciences (Physics and Mathematics), Associate Professor of the Departments of Nanotechnology, Microelectronics, General and Applied Physics</p><p>50 Let Oktyabrya Str. 94, Kursk 305040</p></bio><email xlink:type="simple">luci78@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-6710-9949</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Громков</surname><given-names>А. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Gromkov</surname><given-names>A. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Громков Андрей Сергеевич, аспирант кафедры нанотехнологий, микроэлектроники, общей и прикладной физики</p><p>ул. 50 лет Октября, д. 94, г. Курск 305040</p></bio><bio xml:lang="en"><p>Andrey S. Gromkov, Post-Graduate Student of the Departments of Nanotechnology, Microelectronics, General and Applied Physics</p><p>50 Let Oktyabrya Str. 94, Kursk 305040</p></bio><email xlink:type="simple">andrei_gromkov@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>Манжос</surname><given-names>О. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Manzhos</surname><given-names>O. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Манжос Ольга Александровна, аспирант кафедры нанотехнологий, микроэлектроники, общей и прикладной физики</p><p>ул. 50 лет Октября, д. 94, г. Курск 305040</p></bio><bio xml:lang="en"><p>Olga A. Manzhos, Post-Graduate Student of the Departments of Nanotechnology, Microelectronics, General and Applied Physics</p><p>50 Let Oktyabrya Str. 94, Kursk 305040</p></bio><email xlink:type="simple">olga.apalkova@list.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Юго-Западный государственный университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Southwest State University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>10</day><month>04</month><year>2024</year></pub-date><volume>14</volume><issue>1</issue><fpage>88</fpage><lpage>103</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Мельников Г.А., Игнатенко Н.М., Петрова Л.П., Громков А.С., Манжос О.А., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Мельников Г.А., Игнатенко Н.М., Петрова Л.П., Громков А.С., Манжос О.А.</copyright-holder><copyright-holder xml:lang="en">Melnikov G.A., Ignatenko N.M., Petrova L.P., Gromkov A.S., Manzhos O.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://techusgu.elpub.ru/jour/article/view/224">https://techusgu.elpub.ru/jour/article/view/224</self-uri><abstract><sec><title>Цель</title><p>Цель. Исследование комбинационного рассеяния света в жидких аренах и их галогенозамещенных в низкочастотной области спектра с учетом процессов кластеризации в их структуре.</p></sec><sec><title>Методы</title><p>Методы. Применялись методы спектроскопии комбинационного рассеяния света, а также метод моделирования с использованием кластерных представлений строения жидкостей. Спектры комбинационного рассеяния света в низкочастотной области спектра от 17 до 500 см-1 были получены на спектрометре LabRAM HR Evolution при комнатной температуре (23°С).</p></sec><sec><title>Результаты</title><p>Результаты. Проведен анализ теоретических и экспериментальных работ по свойствам димерных конфигураций бензола и по влиянию процессов кластеризации в веществах на их ИК-спектры и спектры комбинационного рассеяния света. Получены низкочастотные области спектров комбинационного рассеяния света жидких бензола, о-ксилола, этилбензола, фторбензола, хлорбензола, бромбензола, толуола, о-фтортолуола, м-фтортолуола, п-фтортолуола, о-хлортолуола, м-хлортолуола, п-хлортолуола, 2,4-дихлортолуола, 2,6-дихлортолуола. Апробирована модель формирования и распада кластерных образований. Получены формулы для оценки минимальной частоты либрационных колебаний ωmin димерного образования в структуре кластера и положения максимумов спектральных полос в низкочастотной области спектра комбинационного рассеяния света в зависимости от количества частиц, входящих в кластерные образования. Полученные теоретические результаты ωmin находятся в удовлетворительном согласии с данными эксперимента в пределах суммарной погрешности.</p><p>Предложенная модель позволяет прогнозировать положение некоторых спектральных полос спектра комбинационного рассеяния. Наличие других спектральных полос, очевидно, связано с многочастичным взаимодействием в структуре кластеров и требует дополнительных исследований.</p></sec><sec><title>Заключение</title><p>Заключение. Предложенная модель формирования и распада кластерных образований и соотношения, следующие из нее, позволяют по известным значениям энтальпии образования и момента инерции димера оценить значение минимальной частоты в низкочастотной области спектра комбинационного рассеяния света жидких аренов и их галогенозамещенных, и наоборот, по известным значениям минимальной частоты оценить значения энтальпии образования и момента инерции димера, не прибегая к сложным квантово-механическим расчетам.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Purpose</title><p>Purpose. Investigation of Raman scattering of light in liquid arenas and their halogenated ones in the low-frequency range of the spectrum, taking into account the clustering processes in their structure.</p></sec><sec><title>Methods</title><p>Methods. Raman spectroscopy methods were used, as well as a modeling method using cluster representations of the structure of liquids. Raman spectra of light in the low-frequency range from 17 to 500 cm–1 were obtained using a LabRAM HR Evolution spectrometer at room temperature (23°C).</p></sec><sec><title>Results</title><p>Results. The analysis of theoretical and experimental work on the properties of dimeric configurations of benzene and on the effect of clustering processes in substances on their IR and Raman spectra is carried out. Low-frequency Raman spectra of liquid benzene, o-xylene, ethylbenzene, fluorobenzene, chlorobenzene, brombenzene, toluene, o-fluorotoluene, m-fluorotoluene, p-fluorotoluene, o-chlorotoluene, m-chlorotoluene, p-chlorotoluene, 2,4-dichlorotoluene, 2,6-dichlorotoluene were obtained. The model of formation and disintegration of cluster formations has been tested. Formulas have been obtained for estimating the minimum frequency of libration oscillations of the ωmin dimer formation in the cluster structure and the position of the maxima of spectral bands in the low-frequency region of the Raman spectrum, depending on the number of particles included in the cluster formations. The theoretical results obtained by ωmin are in satisfactory agreement with the experimental data within the total error.</p><p>The proposed model makes it possible to predict the position of some spectral bands of the Raman spectrum. The presence of other spectral bands is obviously related to the multiparticle interaction in the cluster structure and requires additional research.</p></sec><sec><title>Conclusion</title><p>Conclusion. The proposed model of formation and decay of cluster formations and the relations following from it allow us to estimate the value of the minimum frequency in the low-frequency range of the Raman spectrum of liquid arenes and their halogenated ones from the known values of the enthalpy of formation and the moment of inertia of the dimer. Conversely, using known values of the minimum frequency, the values of the enthalpy of formation and the moment of inertia of the dimer can be estimated without resorting to complex quantum mechanical calculations.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>спектр комбинационного рассеяния света</kwd><kwd>бензол</kwd><kwd>толуол</kwd><kwd>галогенозамещенные</kwd><kwd>кластерная модель</kwd><kwd>либрационные колебания</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Raman spectrum</kwd><kwd>benzene</kwd><kwd>toluene</kwd><kwd>halogen-substituted</kwd><kwd>cluster model</kwd><kwd>librational vibrations</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Авторы выражают благодарность Центру коллективного пользования «Технологии и Материалы НИУ «БелГУ» и лично доктору физико-математических наук, профессору кафедры материаловедения и нанотехнологий НИУ «БелГУ» О. Н. Иванову и кандидату физико-математических наук, научному сотруднику Центра коллективного пользования «Технологии и Материалы» НИУ «БелГУ» М. Н. Япрынцеву за оказанную помощь при проведении настоящего исследования.</funding-statement><funding-statement xml:lang="en">The authors express their gratitude to the Center for Collective Use "Technologies and Materials of the National Research University "BelSU" and personally to the Doctor of Ph.D., Professor of the Department of Materials Science and Nanotechnology of the National Research University "BelSU" O. N. Ivanov and Ph.D., researcher of the Center for Collective Use "Technologies and Materials of the National Research University "BelSU" M. N. Yapryntsev for the assistance provided during the conduct of this study.</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">Ландсберг Г. С., Мандельштам Л. И. Новое явление при рассеянии света // Журнал Русского физико-химического общества (часть физическая). 1928. Т. 60, № 4. С. 335–338.</mixed-citation><mixed-citation xml:lang="en">Landsberg G. S., Mandelstam L. I. Novoye yavleniye pri rasseyanii sveta [New phenomenon in light scattering]. Zhurnal Russkogo fiziko-khimicheskogo obshchestva (chast' fizicheskaya) = Journal of the Russian Physical and Chemical Society (physical part), 1928, vol. 60, no. 4, pp. 335–338.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Характерные особенности низкочастотной области инфракрасных спектров и кластерная модель строения жидкостей / Г. А. Мельников, Н. М. Игнатенко, К. Н. Болдырев, О. А. Манжос, А. С. Громков // Оптика и спектроскопия. 2023. Т. 131, вып. 3. С 361–369. https://doi.org/10.21883/OS.2023.03.55386.4535-22.</mixed-citation><mixed-citation xml:lang="en">Melnikov G. A., Ignatenko N. M., Boldyrev K. N., Manzhos O. A., Gromkov A. S. Kharakternyye osobennosti nizkochastotnoy oblasti infrakrasnykh spektrov i klasternaya model' stroyeniya zhidkostey [Characteristic features of the low-frequency region of infrared spectra and a cluster model of the structure of liquids]. Optika i spektroskopiya = Optics and spectroscopy, 2023, vol. 131, is. 3, pp. 361–369. https://doi.org/10.21883/OS.2023.03.55386.4535-22</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Галашев А. Е., Рахманова О. Р. Взаимодействие ионов хлора с кластерами воды, абсорбирующими озон. Компьютерный эксперимент // Химическая физика. 2011. Т. 30, № 4. С. 3–15.</mixed-citation><mixed-citation xml:lang="en">Galashev A. E., Rakhmanova O. R. Vzaimodeystviye ionov khlora s klasterami vody, absorbiruyushchimi ozon. Komp'yuternyi eksperiment [Interaction of chlorine ions with water clusters that absorb ozone. Computer experiment]. Khimicheskaya fizika = Chemical physics, 2011, vol. 30, no. 4, pp. 3–15.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Eaton D. C. Ozone complexes with substituted aromatic compounds // Honors Theses. 1976. URL: https://digitalworks.union.edu/theses/2208/ (дата обращения: 13.01.2024).</mixed-citation><mixed-citation xml:lang="en">Eaton D. C. Ozone complexes with substituted aromatic compounds. Honors Theses. 1976. URL: https://digitalworks.union.edu/theses/2208/ (accessed 23.01.2024).</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Разумовский С. Д., Заиков Г. Е. Озон и его реакции с органическими соединениями. М.: Наука, 1974. 322 с.</mixed-citation><mixed-citation xml:lang="en">Razumovsky S. D., Zaikov G. E. Ozon i yego reaktsii s organicheskimi soyedineniyami [Ozone and its reactions with organic compounds]. Moscow, Nauka Publ., 1974. 322 p.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Галашев А. Е. Молекулярно-динамическое моделирование адсорбции озона и нитрат-ионов кластерами воды // Теплофизика высоких температур. 2012. Т. 50, вып. 2. С. 222–232.</mixed-citation><mixed-citation xml:lang="en">Galashev A. E. Molekulyarno-dinamicheskoye modelirovaniye adsorbtsii ozona i nitrat-ionov klasterami vody [Molecular dynamics modeling of the adsorption of ozone and nitrate ions by water clusters]. Teplofizika vysokikh temperatur = Thermophysics of high temperatures, 2012, vol. 50, is. 2, pp. 222– 232.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Фабелинский И. Л. Комбинационному рассеянию света – 70 лет // Успехи физических наук. 1998. Т. 168, № 12. С. 1341–1360. https://doi.org/10.3367/UFNr.0168.199812g.1341.</mixed-citation><mixed-citation xml:lang="en">Fabelinsky I. L. Kombinatsionnomu rasseyaniyu sveta – 70 let [Raman scattering – 70 years]. Uspekh ifizicheskikh nauk = Physics - Uspekhi, 1998, vol. 168, no. 12, pp. 1341–1360. https://doi.org/10.3367/UFNr.0168.199812g.1341</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Волькенштейн М. В. Раман-эффект и междумолекулярное взаимодействие // Успехи физических наук. 1937. Т. 18, вып. 2. С. 153–202. https://doi.org/10.3367/UFNr.0018.193706a.0153.</mixed-citation><mixed-citation xml:lang="en">Volkenshtein M. V. Raman-effekt i mezhmolekulyarnoye vzaimodeystviye [Raman effect and intermolecular interaction]. Uspekhi fizicheskikh nauk = Physical Uspekhi, 1937, vol. 18, is. 2, pp. 153–202. https://doi.org/10.3367/UFNr.0018.193706a.0153</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Ахманов С. А., Коротеев Н. И. Методы нелинейной оптики в спектроскопии рассеяния света: активная спектроскопия рассеяния света. М.: Наука, 1981. 543 с.</mixed-citation><mixed-citation xml:lang="en">Akhmanov S. A., Koroteev N. I. Metody nelineynoy optiki v spektroskopii rasseyaniya sveta: aktivnaya spektroskopiya rasseyaniya sveta [Nonlinear optics methods in light scattering spectroscopy: active light scattering spectroscopy]. Moscow, Nauka Publ., 1981. 543 p.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Бенуэлл К. Н. Основы молекулярной спектроскопии. М.: Мир, 1985. 384 с.</mixed-citation><mixed-citation xml:lang="en">Benwell K. N. Osnovy molekulyarnoy spektroskopii [Fundamentals of molecular spectroscopy]. Moscow, Mir Publ., 1985. 384 p.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Беллами Л. Д. Новые данные по ИК-спектрам сложных молекул. М.: Мир, 1971. 318 с.</mixed-citation><mixed-citation xml:lang="en">Bellamy L. D. Novyye dannyye po IK-spektram slozhnykh molekul [New data on the IR spectra of complex molecules]. Moscow, Mir Publ., 1971. 318 p.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Исимару А. Распространение и рассеяние волн в случайно неоднородных средах. Т. 1. Однократное рассеяние и теория переноса. М.: Мир, 1981. 280 с.</mixed-citation><mixed-citation xml:lang="en">Ishimaru A. Rasprostraneniye i rasseyaniye voln v sluchayno neodnorodnykh sredakh. T. 1. Odnokratnoye rasseyaniye i teoriyaperenosa [Propagation and scattering of waves in randomly inhomogeneous media. Vol. 1. Single scattering and transport theory]. Moscow, Mir Publ., 1981. 280 p.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Тарасевич Б. Н. ИК-спектры основных классов органических соединений. М.: МГУ им. М. В. Ломоносова, 2012. 55 с.</mixed-citation><mixed-citation xml:lang="en">Tarasevich B. N. IK spektry osnovnykh klassov organicheskikh soyedineniy [IR spectra of the main classes of organic compounds]. Moscow, Lomonosov Moscow St. Univ. Publ., 2012. 55 p.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Combination scatter of light in liquids, taking into account clusterization processes in their structure / G. A. Melnikov, O. A. Manzhos, N. M. Ignatenko, A. S. Gromkov // 7th International Congress on Energy Fluxes and Radiation Effects (EFRE). Tomsk: IEEE, 2020. P. 946–951. https://doi.org/10.1109/EFRE47760.2020.9241975.</mixed-citation><mixed-citation xml:lang="en">Melnikov G. A., Manzhos O. A., Ignatenko N. M., Gromkov A. S. Combination scatter of light in liquids, taking into account clusterization processes in their structure. 7th International Congress on Energy Fluxes and Radiation Effects (EFRE 2020). Tomsk, IEEE, 2020, pp. 946–951. https://doi.org/10.1109/EFRE47760.2020.9241975</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">ИК-спектры и магические числа в кластерных системах / Г. А. Мельников, Н. М. Игнатенко, В. Г. Мельников, Е. Н. Черкасов, О. А. Апалькова // Известия Юго-Западного государственного университета. Серия: Техника и технологии. 2014. № 4. С. 96–101.</mixed-citation><mixed-citation xml:lang="en">Melnikov G. A., Ignatenko N. M., Melnikov V. G., Cherkasov E. N., Apalkova O. A. IK-spektry i magicheskiye chisla v klasternykh sistemakh [IR spectra and magic numbers in cluster systems]. Izvestiya Yugo-Zapadnogo gosudarstvennogo universiteta. Seriya: Tekhnika i tekhnologii = Proceedings of the Southwest State University. Series: Engineering and Technologies, 2014, no. 4, pp. 96–101.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Formation of cluster systems in condensed matters and IR spectra of liquids / G. Melnikov, N. Ignatenko, P. Krasnych, V. Melnikov, E. Cherkasov // IOP Conference Series: Materials Science and Engineering. 2016. Vol. 110. P. 012064. https://doi.org/10.1088/1757-899X/110/1/012064.</mixed-citation><mixed-citation xml:lang="en">Melnikov G., Ignatenko N., Krasnych P., Melnikov V., Cherkasov E. Formation of cluster systems in condensed matters and IR spectra of liquids. IOP Conference Series: Materials Science and Engineering, 2016, vol. 110, pp. 012064. https://doi.org/10.1088/1757-899X/110/1/012064</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">On the influence of clustering processes in the liquid structure on Raman scattering / G. Melnikov, N. Ignatenko, L. Petrova, O. Manzhos, A. Gromkov // MATEC Web of Conferences. 2021. Vol. 344. P. 01010. https://doi.org/10.1051/matecconf/202134401010.</mixed-citation><mixed-citation xml:lang="en">Melnikov G., Ignatenko N., Petrova L., Manzhos O., Gromkov A. On the influence of clustering processes in the liquid structure on Raman scattering. MATEC Web of Conferences, 2021, vol. 344, pp. 01010. https://doi.org/10.1051/matecconf/202134401010</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">The structure of small clusters and IR spectrum condensed matters / G. A. Melnikov, N. M. Ignatenko, V. G. Melnikov, E. N. Cherkasov, O. A. Manzhos // Journal of Nano- and Electronic Physics. 2015. Vol. 7, no. 4. P. 04087.</mixed-citation><mixed-citation xml:lang="en">Melnikov G. A., Ignatenko N. M., Melnikov V. G., Cherkasov E. N., Manzhos O. A. The structure of small clusters and IR spectrum condensed matters. Journal of Nano- and Electronic Physics, 2015, vol. 7, no. 4, pp. 04087.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Magic numbers in mass spectra of large Van der Waals clusters / O. Echt, O. Kandler, T. Leisner, W. Miehle, E. Recknagel // Journal of the Chemical Society, Faraday Transactions. 1990. Vol. 86. P. 2411– 2415. https://doi.org/10.1039/FT9908602411.</mixed-citation><mixed-citation xml:lang="en">Echt O., Kandler O., Leisner T., Miehle W., Recknagel E. Magic numbers in mass spectra of large Van der Waals clusters. Journal of the Chemical Society, Faraday Transactions, 1990, vol. 86, pp. 2411– 2415. https://doi.org/10.1039/FT9908602411</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Nagels N., Hauchecorne D., Herrebout W. A. Exploring the C-X…π halogen bonding motif: an infrared and Raman study of the complexes of CF₃X (X = Cl, Br and I) with the aromatic model compounds benzene and toluene // Molecules. 2013. Vol. 18, is. 6. P. 6829–6851. https://doi.org/10.3390/molecules18066829.</mixed-citation><mixed-citation xml:lang="en">Nagels N., Hauchecorne D., Herrebout W. A. Exploring the C-X…π halogen bonding motif: an infrared and Raman study of the complexes of CF₃X (X = Cl, Br and I) with the aromatic model compounds benzene and toluene. Molecules, 2013, vol. 18, is. 6, pp. 6829–6851. https://doi.org/10.3390/molecules18066829</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Arrays of plasmonic nanoparticle dimers with defined nanogap spacers / H.-Ho Jeong, M. C. Adams, J.-P. Günther, M. Alarcón-Correa, I. Kim, E. Choi, C. Miksch, A. F. Mark, A. G. Mark, P. Fischer // ACS Nano. 2019. Vol. 13, is. 10. P. 11453–11459. https://doi.org/10.1021/acsnano.9b04938.</mixed-citation><mixed-citation xml:lang="en">Jeong H.-Ho, Adams M. C., Günther J.-P., Alarcón-Correa M., Kim I., Choi E., Miksch C., Mark A. F., Mark A. G., Fischer P. Arrays of plasmonic nanoparticle dimers with defined nanogap spacers. ACS Nano, 2019, vol. 13, is. 10, pp. 11453–11459. https://doi.org/10.1021/acsnano.9b04938</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Plasmonic mode mixing in nanoparticle dimers with nm-separations via substrate-mediated coupling / J. Theiss, M. Aykol, P. Pavaskar, S. B. Cronin // Nano Res. 2014. Vol. 7. P. 1344–1354. https://doi.org/10.1007/s12274-014-0499-7.</mixed-citation><mixed-citation xml:lang="en">Theiss J., Aykol M., Pavaskar P., Cronin S. B. Plasmonic mode mixing in nanoparticle dimers with nm-separations via substrate-mediated coupling. Nano Res., 2014, vol. 7, pp. 1344–1354. https://doi.org/10.1007/s12274-014-0499-7</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Efficient bond function basis set for π-π interaction energies / Y. Ding, Y. Mei, J. Z. H. Zhang, F.-M. Tao // Journal of Computational Chemistry. 2008. Vol. 29, no. 2. P. 275–279. https://doi.org/10.1002/jcc.20788.</mixed-citation><mixed-citation xml:lang="en">Ding Y., Mei Y., Zhang J. Z. H., Tao F.-M. Efficient bond function basis set for π-π interaction energies. Journal of Computational Chemistry, 2008, vol. 29, no. 2, pp. 275–279. https://doi.org/10.1002/jcc.20788</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Моделирование димерных образований в структуре кластеров бензола / Г. А. Мельников, Н. М. Игнатенко, В. М. Пауков, В. В. Сучилкин // Физико-математическое моделирование систем: материалы XIX Международного семинара. Воронеж: ВГТУ, 2018. С. 145–149.</mixed-citation><mixed-citation xml:lang="en">Melnikov G. A., Ignatenko N. M., Paukov V. M., Suchilkin V. V. Modelirovaniye dimernykh obrazovaniy v structure klasterov benzola [Modeling of dimer formations in the structure of benzene clusters]. Fiziko-matematicheskoye modelirovaniye system. Materialy XIX Mezhdunarodnogo seminara [Physico-mathematical modeling of systems. Materials of the XIX International Seminar]. Voronezh, VSTU Publ., 2018, pp. 145–149.</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Melnikov G. A. Clusters of Fibonacci in the structure of condensed medium // Известия вузов. Физика. 2018. Т. 61, № 9-2(729). С. 207–210.</mixed-citation><mixed-citation xml:lang="en">Melnikov G. A. Clusters of Fibonacci in the structure of condensed medium. Izvestiya vuzov. Fizika = Proceedings of universities. Physics, 2018, vol. 61, no. 9-2(729), pp. 207–210.</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Аракелян Г. Математика и История золотого сечения. М.: Логос, 2014. 404 с.</mixed-citation><mixed-citation xml:lang="en">Arakelyan G. Matematika i Istoriya zolotogo secheniya [Mathematics and the History of the Golden section]. Moscow, Logos Publ., 2014. 404 p.</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">Bertie J. E., Keefe C. D. Infrared intensities of liquids XXIV: optical constants of liquid benzeneh6 at 25 °C extended to 11.5 cm−1 and molar polarizabilities and integrated intensities of benzene-h6 between 6200 and 11.5 cm−1 // Journal of Molecular Structure. 2004. Vol. 695/696. P. 39–57. https://doi.org/10.1016/j.molstruc.2003.11.002.</mixed-citation><mixed-citation xml:lang="en">Bertie J. E., Keefe C. D. Infrared intensities of liquids XXIV: optical constants of liquid benzeneh6 at 25°C extended to 11.5 cm−1 and molar polarizabilities and integrated intensities of benzene-h6 between 6200 and 11.5 cm−1. Journal of Molecular Structure, 2004, vol. 695–696, pp. 39–57. https://doi.org/10.1016/j.molstruc.2003.11.002</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">Simulated structure, dynamics, and vibrational spectra of liquid benzene / R. Chelli, G. Cardini, P. Procacci, R. Righini, S. Califano, A. Albrecht // The Journal of Chemical Physics. 2000. Vol. 113. P. 6851–6863. https://doi.org/10.1063/1.1290729.</mixed-citation><mixed-citation xml:lang="en">Chelli R., Cardini G., Procacci P., Righini R., Califano S., Albrecht A. Simulated structure, dynamics, and vibrational spectra of liquid benzene. The Journal of Chemical Physics, 2000, vol. 113, pp. 6851/6863. https://doi.org/10.1063/1.1290729</mixed-citation></citation-alternatives></ref><ref id="cit29"><label>29</label><citation-alternatives><mixed-citation xml:lang="ru">Badoğlu S., Yurdakul Ş. FT-IR spectroscopic and DFT computational study on solvent effects on 8-hydroxy-2-quinolinecarboxylic acid // Optics and Spectroscopy. 2015. Vol. 118. С. 364–388. https://doi.org/10.1134/S0030400X15030066.</mixed-citation><mixed-citation xml:lang="en">Badoğlu S., Yurdakul Ş. FT-IR spectroscopic and DFT computational study on solvent effects on 8-hydroxy-2-quinolinecarboxylic acid. Optics and Spectroscopy, 2015, vol. 118, pp. 364–388. https://doi.org/10.1134/S0030400X15030066</mixed-citation></citation-alternatives></ref><ref id="cit30"><label>30</label><citation-alternatives><mixed-citation xml:lang="ru">Kearley G. J., Jonson M. R., Tomkinson J. Intermolecular interactions in solid benzene // The Journal of Chemical Physics. 2006. Vol. 124. P. 044514. https://doi.org/10.1063/1.2145926.</mixed-citation><mixed-citation xml:lang="en">Kearley G. J., Jonson M. R., Tomkinson J. Intermolecular interactions in solid benzene. The Journal of Chemical Physics, 2006, vol. 124, pp. 044514. https://doi.org/10.1063/1.2145926.</mixed-citation></citation-alternatives></ref><ref id="cit31"><label>31</label><citation-alternatives><mixed-citation xml:lang="ru">Smith T., Slipchenko L. V., Gordon M. S. Modeling π–πinteractions with the effective fragment potential method: the benzene dimer and substituents // The Journal of Physical Chemistry A. 2008. Vol. 112. P. 5286–5294. https://doi.org/10.1021/jp800107z.</mixed-citation><mixed-citation xml:lang="en">Smith T., Slipchenko L. V., Gordon M. S. Modeling π–π interactions with the effective fragment potential method: the benzene dimer and substituents. The Journal of Physical Chemistry A, 2008, vol. 112, pp. 5286–5294. https://doi.org/10.1021/jp800107z</mixed-citation></citation-alternatives></ref><ref id="cit32"><label>32</label><citation-alternatives><mixed-citation xml:lang="ru">Smith Q. A., Gordon M. S., Slipchenko L. V. Benzene-pyridine interactions predicted by the effective fragment potential method // The Journal of Physical Chemistry A. 2011. Vol. 115. P. 4598–4609. https://doi.org/10.1021/jp201039b.</mixed-citation><mixed-citation xml:lang="en">Smith Q. A., Gordon M. S., Slipchenko L. V. Benzene−pyridine interactions predicted by the effective fragment potential method. The Journal of Physical Chemistry A, 2011, vol. 115, pp. 4598–4609. https://doi.org/10.1021/jp201039b</mixed-citation></citation-alternatives></ref><ref id="cit33"><label>33</label><citation-alternatives><mixed-citation xml:lang="ru">Giraud G., Wynne K. A comparison of the low-frequency vibrational spectra of liquids obtained through infrared and Raman spectroscopies // The Journal of Chemical Physics. 2003. Vol. 119. P. 11753– 11764. https://doi.org/10.1063/1.1623747.</mixed-citation><mixed-citation xml:lang="en">Giraud G., Wynne K. A comparison of the low-frequency vibrational spectra of liquids obtained through infrared and Raman spectroscopies. The Journal of Chemical Physics, 2003, vol. 119, pp. 11753– 11764. https://doi.org/10.1063/1.1623747</mixed-citation></citation-alternatives></ref><ref id="cit34"><label>34</label><citation-alternatives><mixed-citation xml:lang="ru">Infrared cavity ringdown spectroscopy of methanol clusters: Single donor hydrogen bonding / R. A. Provencal, J. B. Paul, K. Roth, C. Chapo, R. N. Casaes, R. J. Saykally, G. S. Tschumper, H. F. III Schaefer // The Journal of Chemical Physics. 1999. Vol. 10. P. 4258–4267. https://doi.org/10.1063/1.478309.</mixed-citation><mixed-citation xml:lang="en">Provencal R. A., Paul J. B., Roth K., Chapo C., Casaes R. N., Saykally R. J., Tschumper G. S., Schaefer H. F. III. Infrared cavity ringdown spectroscopy of methanol clusters: Single donor hydrogen bonding. The Journal of Chemical Physics, 1999, vol. 10, pp. 4258–4267. https://doi.org/10.1063/1.478309</mixed-citation></citation-alternatives></ref><ref id="cit35"><label>35</label><citation-alternatives><mixed-citation xml:lang="ru">Arivazhagan M., Jeyavijayan S. Molecular structure and vibrational spectroscopic studies of 1-nitro-4-(trifluoromethoxy) benzene by density functional method // Indian Journal of Pure &amp; Applied Physics. 2011. Vol. 49. P. 516–522.</mixed-citation><mixed-citation xml:lang="en">Arivazhagan M., Jeyavijayan S. Molecular structure and vibrational spectroscopic studies of 1-nitro-4-(trifluoromethoxy) benzene by density functional method. Indian Journal of Pure &amp; Applied Physics, 2011, vol. 49, pp. 516–522.</mixed-citation></citation-alternatives></ref><ref id="cit36"><label>36</label><citation-alternatives><mixed-citation xml:lang="ru">Structural evolution and properties of subnanometer Tcn (n = 2–15) clusters / P. F. Weck, E. Kim, F. Poineaua, K. R. Czerwinskia // Physical Chemistry Chemical Physics. 2009. Vol. 11. P. 10003–10008. https://doi.org/10.1039/B914610E.</mixed-citation><mixed-citation xml:lang="en">Weck P. F., Kim E., Poineaua F., Czerwinskia K. R. Structural evolution and properties of subnanometerTcn (n = 2–15) clusters. Physical Chemistry Chemical Physics, 2009, vol. 11, pp. 10003–10008. https://doi.org/10.1039/B914610E</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
