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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 pub-id-type="doi">10.26907/mrsej-19106</article-id><article-id custom-type="elpub" pub-id-type="custom">mrisel-42</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>Decay of multiple quantum NMR coherences in quasi-one-dimensional chains in calcium fluorapatite</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>Bochkin</surname><given-names>G. A.</given-names></name></name-alternatives><bio xml:lang="en"><p>142432 Chernogolovka</p></bio><email xlink:type="simple">bochkin.g@yandex.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>142432 Chernogolovka</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>Lazarev</surname><given-names>I. D.</given-names></name></name-alternatives><bio xml:lang="en"><p>142432 Chernogolovka; GSP-1, 119991 Moscow</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>Vasil'ev</surname><given-names>S. G.</given-names></name></name-alternatives><bio xml:lang="en"><p>142432 Chernogolovka</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>Volkov</surname><given-names>V. I.</given-names></name></name-alternatives><bio xml:lang="en"><p>142432 Chernogolovka</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 Russian Academy of Sciences</institution><country>Russian Federation</country></aff><aff xml:lang="en" id="aff-2"><institution>Institute of Problems of Chemical Physics of Russian Academy of Sciences; Faculty of Fundamental Physical-Chemical Engineering, Lomonosov Moscow State University</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2019</year></pub-date><pub-date pub-type="epub"><day>08</day><month>02</month><year>2019</year></pub-date><volume>21</volume><issue>1</issue><elocation-id>19106 (5 pp.)</elocation-id><permissions><copyright-statement>Copyright &amp;#x00A9; Bochkin G.A., Fel'dman E.B., Lazarev I.D., Vasil'ev S.G., Volkov V.I., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Bochkin G.A., Fel'dman E.B., Lazarev I.D., Vasil'ev S.G., Volkov V.I.</copyright-holder><copyright-holder xml:lang="en">Bochkin G.A., Fel'dman E.B., Lazarev I.D., Vasil'ev S.G., Volkov V.I.</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/42">https://www.mrsej.ru/jour/article/view/42</self-uri><abstract><p>Multiple quantum (MQ) nuclear magnetic resonance (NMR) experiment is considered on chains of fluorine atoms in calcium fluorapatite. The second moments of the line shapes of the MQ coherences on the evolution period of the MQ NMR experiment are calculated analytically in the approximation of nearest neighbor interactions. The calculated values are used for a description of the experimental data with semi-phenomenological formulas assuming that the relaxation of the MQ coherences follows the Gaussian law on the evolution period. A satisfactory agreement with the experimental data is demonstrated.</p></abstract><kwd-group xml:lang="en"><kwd>multiple quantum NMR</kwd><kwd>multiple quantum coherence</kwd><kwd>relaxation</kwd><kwd>dipole-dipole interactions</kwd><kwd>zz model</kwd><kwd>second moments</kwd></kwd-group><funding-group><funding-statement xml:lang="en">This work is supported by Russian Foundation for Basic Research (grant No. 16-03-00056) and the Program of the Presidium of RAS No. 5 \Electron spin resonance, spin-dependent electron effects and spin technologies".</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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