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New Information About Manifestations of Spin Exchange in the EPR Spectra of Solutions of Paramagnetic Particles Under Saturation Conditions

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A Correction to this article was published on 20 November 2021

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Abstract

For a model system of spins with two frequencies, a detailed analysis of the spin exchange in the EPR spectrum under saturation conditions in dilute solutions of paramagnetic particles is performed. For an arbitrary power of the microwave field, explicit analytical formulas are obtained for the frequency and width of the spectral lines, and for the contribution of the dispersion to the observed lines in the region of relatively slow spin exchange. A formula is obtained for the integral intensity of the spectrum for an arbitrary microwave field strength and spin exchange rate. The analysis of the dependence of the width of the spectrum lines and the contribution of the dispersion to the spectrum on the spin coherence transfer rate and on the microwave field power revealed the "destructive interference” of these factors in terms of their manifestation in the EPR spectra. It is shown that in a wide range of spin exchange rates up to the collapse of the spectrum, the dependence of the line broadening on the spin exchange rate is given by a straight line, the slope of which does not depend on the power of the microwave field. Extrapolating this straight line to the zero spin exchange rate gives a value that depends on the microwave field strength and the relaxation times of the longitudinal and transverse magnetization. The results obtained can be used to find the magnetic resonance parameters of the spins, including the spin–lattice relaxation time, from the continuous wave EPR spectroscopy data with high accuracy.

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References

  1. A. Lund, M. Shiotani, Sh. Shimada, Principle and Applications of ESR Spectroscopy (Springer, Dordrecht, 2011)

    Book  Google Scholar 

  2. Yu.N. Molin, K.M. Salikhov, K.I. Zamaraev, Spin Exchange, Principles and Applications in Chemistry and Biology (Springer Verlag, Heidelberg, 1980)

    Google Scholar 

  3. J.D. Currin, Phys. Rev. 126, 1995 (1962)

    Article  ADS  Google Scholar 

  4. B.L. Bales, Inhomogeneously Broadened Spin-Label Spectra. in Biological Magnetic Resonance, Ed. L.J. Berliner, 8, (Plenum Publishing Corporation, New York, 1989), p. 77

  5. B.L. Bales, M.M. Bakirov, R.T. Galeev, I.A. Kirilyuk, A.I. Kokorin, K.M. Salikhov, Appl. Magn. Reson. 48, 1399–1447 (2017)

    Article  Google Scholar 

  6. K.M. Salikhov, Phys.-Uspekhi 62, 951–975 (2019). (Originally in Russian UFN, 189, 1017-1043 (2019))

    Article  ADS  Google Scholar 

  7. K.M. Salikhov, Fundamentals of Spin Exchange. Story of a Paradigm Shift (Springer Nature Switzerland AG, 2019)

    Book  Google Scholar 

  8. K.M. Salikhov, Appl. Magn. Reson. 51, 297–325 (2020)

    Article  Google Scholar 

  9. K.M. Salikhov, J. Phys. Chem. B 124(30), 6628–6641 (2020)

    Article  Google Scholar 

  10. A. Abragam, The Principles of Nuclear Magnetism (Oxford at the Clarendon Press, 1961)

    Google Scholar 

  11. A.M. Portis, Phys. Rev. 97, 1071–1078 (1953)

    Article  ADS  Google Scholar 

  12. T.G. Castner, Phys. Rev. 115, 1506–1515 (1959)

    Article  ADS  Google Scholar 

  13. Ya.S. Lebedev, S.N. Dobryakov, Zh. Struct. Khim 8, 838 (1967). (in Russian)

    Google Scholar 

  14. КM. Salikhov, A.G. Semenov, Yu.D. Tsvetkov, Electron Spin Echo and Its Application (Nauka Sibirian Branch, Novosibirsk, 1976)

    Google Scholar 

  15. P.J. Zand’siza, S.J. Weissman, J. Chem. Phys. 5, 757 (1961)

    ADS  Google Scholar 

  16. H. Fischer, H. Mol, Phys. 9, 149–152 (1965)

    Google Scholar 

  17. E.L. Wolf, Phys. Rev. 142, 555–569 (1966)

    Article  ADS  Google Scholar 

  18. K.M. Salikhov, I.T. Khairuzhdinov, JETP 128, 684–699 (2019).

    Article  Google Scholar 

  19. J.H. Freed, J. Phys. Chem. 71, 38–51 (1967)

    Article  Google Scholar 

  20. M.P. Eastman, R.G. Kooser, M.P. Das, J.H. Freed, J. Chem. Phys. 51, 2690–2709 (1969)

    Article  ADS  Google Scholar 

  21. K.M. Salikhov, Appl. Magn. Reson. 38, 237–256 (2010)

    Article  Google Scholar 

  22. K.M. Salikhov, M.M. Bakirov, R.T. Galeev, Appl. Magn. Reson. 47, 1095–1122 (2016)

    Article  Google Scholar 

  23. K.M. Salikhov, Appl. Magn. Reson. 47, 1207–1228 (2016)

    Article  Google Scholar 

  24. B.L. Bales, M. Peric, J. Phys. Chem. B 101, 8707 (1997)

    Article  Google Scholar 

  25. B.L. Bales, M. Peric, J. Phys. Chem. A 106, 4846 (2002)

    Article  Google Scholar 

  26. B.L. Bales, M. Peric, H. Dragutan, J. Phys. Chem. A 107, 9086–9098 (2003)

    Article  Google Scholar 

  27. B.L. Bales, M. Meyer, S. Smith, M. Peric, J. Phys. Chem. A 112, 2177–2181 (2008)

    Article  Google Scholar 

  28. B.L. Bales, M. Meyer, S. Smith, M. Peric, J. Phys. Chem. A 113, 4930–4940 (2009)

    Article  Google Scholar 

  29. B.L. Bales, K.M. Cadman, M. Peric, R.N. Schwartz, M. Peric, J. Phys. Chem. 115, 10903–10910 (2011)

    Article  Google Scholar 

  30. K.M. Salikhov, Appl. Magn. Reson. 49, 1417–1430 (2018)

    Article  Google Scholar 

  31. R.T. Galeev, K.M. Salikhov, Khimicheskaya Fisika 15, 48–64 (1996)

    Google Scholar 

Download references

Acknowledgements

I am grateful to my colleagues M. M. Bakirov, M. Bowman, R. T. Galeev, I. T. Khairutdinov, A. I. Kokorin, A. G. Maryasov, V. F. Tarasov, V. K. Voronkova, R. B. Zaripov for fruitful discussing the results of this work.

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  1. Zavoisky Physical-Technical Institute, Federal Research Center “Kazan Scientific Center of Russian Academy of Sciences”, Sibirsky Trakt Str, 10/7, Kazan, 420029, Tatarstan Republik, Russian Federation

    K. M. Salikhov

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Salikhov, K.M. New Information About Manifestations of Spin Exchange in the EPR Spectra of Solutions of Paramagnetic Particles Under Saturation Conditions. Appl Magn Reson 52, 1063–1091 (2021). https://doi.org/10.1007/s00723-021-01364-9

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  • DOI: https://doi.org/10.1007/s00723-021-01364-9

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