Skip to main content
SpringerLink
Log in

Possibility of Measurement of the Three-Spin Dipolar Contribution to Nuclear Spin–Lattice Relaxation in Solids by the Conventional Pulse NMR Technique

  • Original Paper
  • Published:
Applied Magnetic Resonance Aims and scope Submit manuscript

Abstract

It is shown that the contribution of the three-spin non-secular dipolar interactions of nuclei to their spin–lattice relaxation in solids can be measured with the modified conventional coherent pulse NMR technique at the laboratory-frame (LF) high frequency. In this method, the measurements are carried out in the specific magic-angle triply rotating frame (TRF), while the first (single) rotating frame (RF) is in the usual resonant coherent conditions and the second (doubly rotating) frame is in the conditions of the standard magic-angle. The procedure is similar to the well-known technique of measuring spin–lattice relaxation in the usual resonant RF. It is realized in the form of continuous spin-locking in the TRF effective field. The NMR signal is then registered in the form of the LF free induction decay (FID) after a sudden turn-off of a special-designed locking high-frequency pulse. The spin–lattice relaxation curve in the TRF is measured point-by-point by multiple repetitions of the experiment with varying the pulse length and recording the FID amplitude. Formulas for the contribution of the three-spin non-secular dipolar interactions into the TRF spin–lattice relaxation rate have been derived and quantitatively analyzed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

References

  1. M. Lee, W.I. Goldburg, Phys. Rev. A 140, 1261 (1965)

    Article  ADS  Google Scholar 

  2. A.E. Mefed, V.A. Atsarkin, Zh. Eksp. Teor. Fiz. 74, 720 (1978)

    Google Scholar 

  3. V.A. Atsarkin, A.E. Mefed, M.I. Rodak, Fiz. Tverd. Tela 21, 2672 (1979)

    Google Scholar 

  4. C.P. Slichter, Principles of Magnetic Resonance, 2nd edn. (Springer, Berlin, 1980)

    Google Scholar 

  5. A.E. Mefed, A.V. Yaroslavtsev, V.E. Zobov, A.V. Ponomarenko, M.A. Popov, Pis’ma Zh. Eksp. Teor. Fiz. 55, 412 (1992)

    Google Scholar 

  6. V.E. Zobov, M.A. Popov, Zh. Eksp. Teor. Fiz. 103, 2129 (1993)

    Google Scholar 

  7. B.N. Provotorov, E.B. Fel’dman, Zh. Eksp. Teor. Fiz. 104, 3521 (1993)

    Google Scholar 

  8. E.B. Fel’dman, Phys. Lett. A 184, 290 (1994)

    Article  ADS  Google Scholar 

  9. A.E. Mefed, Zh. Eksp. Teor. Fiz. 86, 302 (1984)

    Google Scholar 

  10. A.E. Mefed, V.A. Atsarkin, M.E. Zhabotinskii, Zh. Eksp. Teor. Fiz. 91, 671 (1986)

    Google Scholar 

  11. V.A. Atsarkin, T.N. Khazanovich, Zh. Eksp. Teor. Fiz. 87, 279 (1984)

    Google Scholar 

  12. V.E. Zobov, A.V. Ponomarenko, Preprint No 657 F (Institute of Physics, Siberian Branch of Akademii Nauk of SSSR, Krasnoyarsk, 1990)

    Google Scholar 

  13. A.E. Mefed, Appl. Magn. Reson. (2021). https://doi.org/10.1007/s00723-021-01327-0

    Article  Google Scholar 

  14. A.E. Mefed, Prib. Tekh. Eksp. 1, 131 (1988)

    Google Scholar 

  15. A.E. Mefed, Appl. Magn. Reson. 16, 411 (1999)

    Article  Google Scholar 

  16. F. De Luca, P. Fattibene, N. Lugeri, R. Campanella, B. Maraviglia, Appl. Magn. Reson. 2, 93 (1991)

    Article  Google Scholar 

  17. F. De Luca, C. Nuccetelli, B.C. De Simone, B. Maraviglia, J. Magn. Reson. 69, 496 (1986)

    ADS  Google Scholar 

  18. F. De Luca, C. Nuccetelli, B.C. De Simone, B. Maraviglia, Solid State Commun. 70, 797 (1989)

    Article  ADS  Google Scholar 

  19. L.N. Erofeev, A.I. Sosikov, A.K. Khitrin, Pis’ma. Zh. Eksp. Teor. Fiz. 39, 357 (1984)

    Google Scholar 

  20. T.C. Farrar, E.D. Becker, Pulse and Fourier Transform NMR (Academic Press, London, 1971)

    Google Scholar 

  21. A.E. Mefed, Appl. Magn. Reson. 21, 127 (2001)

    Article  Google Scholar 

  22. V.E. Zobov, M.A. Popov, Zh. Eksp. Teor. Fiz. 110, 635 (1996)

    Google Scholar 

  23. V.A. Atsarkin, Fiz. Tverd. Tela (Leningrad) 27, 656 (1985)

    Google Scholar 

  24. A.E. Mefed, Zh. Eksp. Teor. Fiz. (2008). https://doi.org/10.1134/s1063776108100117

    Article  Google Scholar 

  25. E.R. Andrew, R.G. Eades, Proc. R. Soc. Lond. A218, 537 (1953)

    ADS  Google Scholar 

  26. C.S. Yannoni, H.-M. Vieth, Phys. Rev. Lett. 37, 1230 (1976)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

The author thanks Professor V.A. Atsarkin for critical remarks and Ms. L.I. Putilova for assistance in the preparation of the article in English

Funding

The work is funded by Ministry of Science and Higher Education of the Russian Federation (State task No. 075-00-362-21-00/FIRE for Fryazino branch of Kotelnikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Fryazino, Moscow district, Moscow, Russian Federation).

Author information

Authors and Affiliations

  1. Kotelnikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Fryazino Branch, Fryazino, Moscow District, Moscow, 141191, Russian Federation

    A. E. Mefed

Authors
  1. A. E. Mefed
    View author publications

    You can also search for this author in PubMed Google Scholar

Contributions

This is not applicable because the author is single.

Corresponding author

Correspondence to A. E. Mefed.

Ethics declarations

Competing interests

The authors declare no competing interests.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Mefed, A.E. Possibility of Measurement of the Three-Spin Dipolar Contribution to Nuclear Spin–Lattice Relaxation in Solids by the Conventional Pulse NMR Technique. Appl Magn Reson 53, 1633–1647 (2022). https://doi.org/10.1007/s00723-022-01491-x

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00723-022-01491-x

Search

Navigation