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TMF, 2011, Volume 167, Number 1, Pages 111–122 (Mi tmf6628)  

This article is cited in 1 scientific paper (total in 1 paper)

The NMR line shape of a system of nuclear spins with equal spin–spin coupling constants

A. A. Khamzinab, R. R. Nigmatullinb

a Kazan State Energy University, Kazan, Russia
b Kazan (Volga Region) Federal University, Kazan, Russia

Abstract: We obtain an expression for the NMR line at low temperatures for a system of nuclear spins described by a Hamiltonian with equal spin–spin coupling constants. We show that in the case of “easy axis” anisotropy, the line has a logarithmic low-frequency singularity and an exponentially decreasing high-frequency asymptotic behavior at the temperature of an anomalous peak of heat capacity. In the case of “easy plane” anisotropy, the line has the traditional Gaussian form. We discuss the possibility of using NMR data to discover specific thermodynamic and magnetic properties of the considered model system.

Keywords: spin–spin coupling, free induction decay, NMR line, magnetic ordered structure

DOI: https://doi.org/10.4213/tmf6628

Full text: PDF file (592 kB)
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English version:
Theoretical and Mathematical Physics, 2011, 167:1, 496–505

Bibliographic databases:

Received: 03.09.2010

Citation: A. A. Khamzin, R. R. Nigmatullin, “The NMR line shape of a system of nuclear spins with equal spin–spin coupling constants”, TMF, 167:1 (2011), 111–122; Theoret. and Math. Phys., 167:1 (2011), 496–505

Citation in format AMSBIB
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\by A.~A.~Khamzin, R.~R.~Nigmatullin
\paper The~NMR line shape of a~system of nuclear spins with equal spin--spin coupling constants
\jour TMF
\yr 2011
\vol 167
\issue 1
\pages 111--122
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\crossref{https://doi.org/10.4213/tmf6628}
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\transl
\jour Theoret. and Math. Phys.
\yr 2011
\vol 167
\issue 1
\pages 496--505
\crossref{https://doi.org/10.1007/s11232-011-0037-7}
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\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79956066773}


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  • http://mi.mathnet.ru/eng/tmf6628
  • https://doi.org/10.4213/tmf6628
  • http://mi.mathnet.ru/eng/tmf/v167/i1/p111

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Fel'dman E.B., Zenchuk A.I., “Multiple quantum NMR dynamics in a gas of spin-carrying molecules in fluctuating nanopores”, Chemical Physics, 390:1 (2011), 20–24  crossref  adsnasa  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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