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Theoretical Analysis of Multiple Quantum NMR Dynamics in One-Dimensional Inhomogeneous Spin Systems (\(s=1/2\))

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Abstract

Multiple quantum (MQ) NMR dynamics in an inhomogeneous spin chain, where the distances between the various pairs of neighboring spins can be different, has been studied in the approximation of nearest-neighbor dipole–dipole interaction (DDI). Though the fermion spectrum after performing the Jordan-Wigner transformation is not known, this article shows that the MQ NMR spectrum consists of MQ coherences of orders 0 and ±2 only, and their intensities are determined by the system’s fermion spectrum. As an example application of the theory developed, we calculate MQ NMR spectra of uniform, alternated and doubly alternated (with three different dipolar coupling constants) spin chains.

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Acknowledgements

This work was done as a part of the state task (Registration No. AAAA-A19-119071190017-7). This work was partially supported by the Russian Foundation for Basic Research (Grant No. 20-03-00147).

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Authors and Affiliations

  1. Institute of Problems of Chemical Physics, Chernogolovka, 142432, Moscow region, Russia

    G. A. Bochkin, E. B. Fel’dman & S. G. Vasil’ev

Authors
  1. G. A. Bochkin
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  2. E. B. Fel’dman
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  3. S. G. Vasil’ev
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Contributions

All authors contributed to the study conception and design. EBF wrote the first draft of the manuscript. GAB prepared the figures and edited the text. SGV edited the text. All authors reviewed the manuscript.

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Correspondence to G. A. Bochkin.

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The authors declare no competing interests except funding as described in the Acknowledgements section.

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Bochkin, G.A., Fel’dman, E.B. & Vasil’ev, S.G. Theoretical Analysis of Multiple Quantum NMR Dynamics in One-Dimensional Inhomogeneous Spin Systems (\(s=1/2\)). Appl Magn Reson 53, 1439–1448 (2022). https://doi.org/10.1007/s00723-022-01474-y

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