<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<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-117</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>Dipolar relaxation of multiple-quantum NMR coherences in a linear homogeneous chain of 19F nuclei in calcium fluoroapatite</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>Academician Semenov avenue 1, Chernogolovka 142432, Moscow Region</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>Academician Semenov avenue 1, Chernogolovka 142432, Moscow Region</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>Vasil'ev</surname><given-names>S. G.</given-names></name></name-alternatives><bio xml:lang="en"><p>Academician Semenov avenue 1, Chernogolovka 142432, Moscow Region</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><pub-date pub-type="collection"><year>2016</year></pub-date><pub-date pub-type="epub"><day>17</day><month>12</month><year>2016</year></pub-date><volume>18</volume><issue>2</issue><elocation-id>16202 (6 pp.)</elocation-id><permissions><copyright-statement>Copyright &amp;#x00A9; Bochkin G.A., Fel'dman E.B., Vasil'ev S.G., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Bochkin G.A., Fel'dman E.B., Vasil'ev S.G.</copyright-holder><copyright-holder xml:lang="en">Bochkin G.A., Fel'dman E.B., Vasil'ev S.G.</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/117">https://www.mrsej.ru/jour/article/view/117</self-uri><abstract><p>Experimental and theoretical investigations of dynamics and relaxation of multiple quantum (MQ) nuclear magnetic resonance (NMR) coherences of the zeroth and second orders are performed in a quasi-one-dimensional chain of nuclear spins of 19F in calcium fluorapatite. MQ NMR dynamics are studied on the preparation period of the MQ NMR experiment in the approximation of nearest neighbor interactions. The density matrix of the system at the end of the preparation period is used as the initial condition for the study of the relaxation process on the evolution period of the MQ NMR experiment. The relaxation asymptotics of the intensity of the MQ NMR coherence of the zeroth order is obtained. Relaxation of the MQ NMR coherence of the second order is investigated with ZZ part of the dipole-dipole interactions. The experimental data qualitatively agree with the results of the developed theory.</p></abstract><kwd-group xml:lang="en"><kwd>multiple quantum NMR</kwd><kwd>multiple quantum coherence</kwd><kwd>relaxation</kwd><kwd>fermions</kwd><kwd>dipole-dipole interactions</kwd><kwd>zz-model</kwd><kwd>decoherence</kwd><kwd>coherent clusters</kwd></kwd-group><funding-group><funding-statement xml:lang="en">This work is supported by the Russian Foundation for Basic Research (grants No. 16-03-00056 and No. 16-33-00867) and the Program of the Presidium of RAS No.1.26 \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">Nielsen M. A., Chuang I. L., Quantum Computation and Quantum Information (Cambridge University Press, 2000).</mixed-citation><mixed-citation xml:lang="en">Nielsen M. A., Chuang I. L., Quantum Computation and Quantum Information (Cambridge University Press, 2000).</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Cappellaro P., Ramanathan C., Cory D. G., Physical Review Letters 99, 250506 (2007).</mixed-citation><mixed-citation xml:lang="en">Cappellaro P., Ramanathan C., Cory D. G., Physical Review Letters 99, 250506 (2007).</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Kaur G., Ajoy A., Cappellaro P., New Journal of Physics 15, 093035 (2013).</mixed-citation><mixed-citation xml:lang="en">Kaur G., Ajoy A., Cappellaro P., New Journal of Physics 15, 093035 (2013).</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Fel'dman E. B., Lacelle S., Chemical Physics Letters 253, 27 (1996).</mixed-citation><mixed-citation xml:lang="en">Fel'dman E. B., Lacelle S., Chemical Physics Letters 253, 27 (1996).</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Fel'dman E. B., Lacelle S., The Journal of Chemical Physics 107, 7067 (1997).</mixed-citation><mixed-citation xml:lang="en">Fel'dman E. B., Lacelle S., The Journal of Chemical Physics 107, 7067 (1997).</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Doronin S. I., Maksimov I. I., Fel'dman E. B., Journal of Experimental and Theoretical Physics 91, 597 (2000).</mixed-citation><mixed-citation xml:lang="en">Doronin S. I., Maksimov I. I., Fel'dman E. B., Journal of Experimental and Theoretical Physics 91, 597 (2000).</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Fel'dman E. B., Applied Magnetic Resonance 45, 797 (2014).</mixed-citation><mixed-citation xml:lang="en">Fel'dman E. B., Applied Magnetic Resonance 45, 797 (2014).</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Baum J., Munoviz M., Garroway A. N., Pines A., The Journal of Chemical Physics 83, 2015 (1985).</mixed-citation><mixed-citation xml:lang="en">Baum J., Munoviz M., Garroway A. N., Pines A., The Journal of Chemical Physics 83, 2015 (1985).</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Matts D. C., The Many Body problem: An Encyclopedia of Exactly Solved Models in One Dimension (World Scientific, 1993).</mixed-citation><mixed-citation xml:lang="en">Matts D. C., The Many Body problem: An Encyclopedia of Exactly Solved Models in One Dimension (World Scientific, 1993).</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Goldman M., Spin Temperature and Nuclear Magnetic Resonance in Solids (Clarendon, 1970).</mixed-citation><mixed-citation xml:lang="en">Goldman M., Spin Temperature and Nuclear Magnetic Resonance in Solids (Clarendon, 1970).</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Jordan P., Wigner E., Zeitschrift für Physik 47, 631 (1928).</mixed-citation><mixed-citation xml:lang="en">Jordan P., Wigner E., Zeitschrift für Physik 47, 631 (1928).</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Bochkin G. A., Fel'dman E. B., Vasil'ev S. G., Zeitschrift für Physicalische Chemie, DOI: 10.1515/zpch-2016-0807 [In press].</mixed-citation><mixed-citation xml:lang="en">Bochkin G. A., Fel'dman E. B., Vasil'ev S. G., Zeitschrift für Physicalische Chemie, DOI: 10.1515/zpch-2016-0807 [In press].</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>
