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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">mrisel</journal-id><journal-title-group><journal-title xml:lang="en">Magnetic Resonance in Solids</journal-title><trans-title-group xml:lang="ru"><trans-title>Magnetic Resonance in Solids</trans-title></trans-title-group></journal-title-group><issn pub-type="epub">2072-5981</issn><publisher><publisher-name>Kazan Federal University</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">mrisel-182</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>Статьи</subject></subj-group></article-categories><title-group><article-title>Multiple quantum NMR of interacting equivalent spins</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>Fedorova</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="en"><p>N.N. Semenov av. 1, Chernogolovka 142432</p></bio><email xlink:type="simple">panna@icp.ac.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>Fel'dman</surname><given-names>E. B.</given-names></name></name-alternatives><bio xml:lang="en"><p>N.N. Semenov av. 1, Chernogolovka 142432</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>Institute of Problems of Chemical Physics of RAS</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2009</year></pub-date><pub-date pub-type="epub"><day>20</day><month>01</month><year>2024</year></pub-date><volume>11</volume><issue>2</issue><fpage>24</fpage><lpage>28</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Fedorova A.V., Fel'dman E.B., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Fedorova A.V., Fel'dman E.B.</copyright-holder><copyright-holder xml:lang="en">Fedorova A.V., Fel'dman E.B.</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.mrsej.ru/jour/article/view/182">https://www.mrsej.ru/jour/article/view/182</self-uri><abstract><p>A theory of multiple quantum (MQ) NMR dynamics is developed for systems of interacting equivalent spins (s=1/2). The theory can be applied for the interpretation of both MQ NMR spectra of bullvalene molecules dissolved in nematic liquid crystal solution and MQ NMR of nanopores in an external magnetic field. Numerical realization of the developed approach allows us to investigate MQ NMR dynamics in systems consisting of several hundred spins. The dependence of the MQ NMR coherence intensities on their orders (the profile of MQ coherence) is investigated in many-spin systems. It is shown that the profile is exponential in such systems. We discuss the information which can be extracted from MQ NMR spectra of systems of interacting equivalent spins.</p></abstract><kwd-group xml:lang="en"><kwd>multiple quantum NMR</kwd><kwd>nanopores</kwd><kwd>coherences</kwd><kwd>degeneration</kwd></kwd-group><funding-group><funding-statement xml:lang="en">The work was supported by the Program of the Presidium of RAS No. 27 “Foundations of fundamental investigations of nanotechnologies and nanomaterials”.</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">Baum J., Munowitz M., Garroway A.N., Pines A., J. Chem. Phys. 83, 2015 (1985).</mixed-citation><mixed-citation xml:lang="en">Baum J., Munowitz M., Garroway A.N., Pines A., J. Chem. 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