Journal of Experimental and Theoretical Physics

, Volume 93, Issue 3, pp 542–557 | Cite as

The shape of NMR absorption and cross-relaxation spectra in a heteronuclear spin system

  • V. E. Zobov
  • A. A. Lundin
  • O. E. Rodionova
Solids Structure


A dynamic theory of heteronuclear spin systems in solids at high temperatures is developed. A system of nonlinear integral equations for the spin time correlation functions is derived in the self-consistent fluctuating local field approximation taking into account corrections for the correlated local field fluctuations in real crystal lattices. The theory is applied to interpretation of the experimental data available for a LiF crystal representing a system with the nuclei of two types. The signals of free precession for Li and F nuclei, as well as the spectra of harmonic cross-relaxation, cross-polarization of the 6Li isotope, and depolarization of the 8Li isotope, were calculated for the magnetic field oriented along the principal crystallographic axes of LiF. The results of calculations show good agreement with experiment.


Local Field Field Approximation Crystallographic Axis Free Precession Nonlinear Integral Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    R. Ernst, G. Bodenhausen, and A. Wokaun, Principles of NMR in One and Two Dimensions (Clarendon Press, Oxford, 1987; Mir, Moscow, 1990).Google Scholar
  2. 2.
    V. E. Zobov and A. A. Lundin, Zh. Éksp. Teor. Fiz. 106, 1097 (1994) [JETP 79, 595 (1994)].Google Scholar
  3. 3.
    A. Abragam, The Principles of Nuclear Magnetism (Clarendon Press, Oxford, 1961; Inostrannaya Literatura, Moscow, 1963).Google Scholar
  4. 4.
    B. N. Provotorov, T. P. Kulagina, and G. E. Karnaukh, Zh. Éksp. Teor. Fiz. 113, 967 (1998) [JETP 86, 527 (1998)].Google Scholar
  5. 5.
    A. A. Lundin and A. V. Makarenko, Zh. Éksp. Teor. Fiz. 87, 999 (1984) [Sov. Phys. JETP 60, 570 (1984)].Google Scholar
  6. 6.
    A. A. Lundin, A. V. Makarenko, and V. E. Zobov, J. Phys.: Condens. Matter 2, 10131 (1990).Google Scholar
  7. 7.
    D. A. McArthur, E. L. Hahn, and R. E. Walstedt, Phys. Rev. 188, 609 (1969).CrossRefADSGoogle Scholar
  8. 8.
    V. E. Zobov, M. A. Popov, Yu. N. Ivanov, and A. I. Lifshits, Zh. Éksp. Teor. Fiz. 115, 285 (1999) [JETP 88, 157 (1999)].Google Scholar
  9. 9.
    V. E. Zobov and A. A. Lundin, Pis’ma Zh. Éksp. Teor. Fiz. 43, 418 (1986) [JETP Lett. 43, 536 (1986)].Google Scholar
  10. 10.
    M. I. Bulgakov, A. D. Gul’ko, F. S. Dzheparov, et al., Pis’ma Zh. Éksp. Teor. Fiz. 58, 614 (1993) [JETP Lett. 58, 592 (1993)].Google Scholar
  11. 11.
    Yu. G. Abov, A. D. Gul’ko, F. S. Dzheparov, et al., Fiz. Élem. Chastits At. Yadra 26, 1654 (1995) [Phys. Part. Nucl. 26, 692 (1995)].Google Scholar
  12. 12.
    V. E. Zobov, Teor. Mat. Fiz. 77, 426 (1988).MathSciNetGoogle Scholar
  13. 13.
    V. E. Zobov, Teor. Mat. Fiz. 84, 111 (1990).Google Scholar
  14. 14.
    V. E. Zobov and M. A. Popov, Zh. Éksp. Teor. Fiz. 103, 2129 (1993) [JETP 76, 1062 (1993)].Google Scholar
  15. 15.
    N. G. Kampen, Physica (Amsterdam) 143, 215 (1974).Google Scholar
  16. 16.
    A. A. Lundin and B. N. Provotorov, Zh. Éksp. Teor. Fiz. 70, 2201 (1976) [Sov. Phys. JETP 43, 1149 (1976)].Google Scholar
  17. 17.
    V. E. Zobov, A. A. Lundin, and A. V. Makarenko, Preprint No. 436F, IF SO AN SSSR im. L. V. Kirenskogo (Kirenskii Institute of Physics, Siberian Division, Academy of Sciences of USSR, Krasnoyarsk, 1987).Google Scholar
  18. 18.
    G. E. Karnaukh, A. A. Lundin, B. N. Provotorov, and K. T. Summanen, Zh. Éksp. Teor. Fiz. 91, 2229 (1986) [Sov. Phys. JETP 64, 1324 (1986)].Google Scholar
  19. 19.
    P. W. Anderson and P. R. Weiss, Rev. Mod. Phys. 25, 269 (1953).CrossRefADSGoogle Scholar
  20. 20.
    H. T. Stokes and D. C. Ailion, Phys. Rev. B 15, 1271 (1977).CrossRefADSGoogle Scholar
  21. 21.
    M. Engelsberg and I. J. Lowe, Phys. Rev. B 10, 822 (1974).CrossRefADSGoogle Scholar
  22. 22.
    B. T. Gravely and J. T. Memory, Phys. Rev. B 3, 3426 (1971).CrossRefADSGoogle Scholar
  23. 23.
    A. A. Lundin, Zh. Éksp. Teor. Fiz. 102, 352 (1992) [Sov. Phys. JETP 75, 187 (1992)].Google Scholar
  24. 24.
    A. A. Lundin and A. V. Makarenko, in Nuclear Magnetic Resonance and Crystal Structure (Inst. Fiz. Sib. Otd. Akad. Nauk SSSR im. L. V. Kirenskogo, Krasnoyarsk, 1984), p. 40.Google Scholar
  25. 25.
    A. A. Lundin and A. V. Makarenko, Fiz. Tverd. Tela (Leningrad) 29, 1229 (1987) [Sov. Phys. Solid State 29, 702 (1987)].Google Scholar
  26. 26.
    K. W. Becker, T. Plefka, and G. Sauermann, J. Phys. C 9, 4041 (1976).CrossRefADSGoogle Scholar
  27. 27.
    G. Sauermann and M. Wiegand, Physica B (Amsterdam) 103, 309 (1981).Google Scholar
  28. 28.
    P. S. Pershan, Phys. Rev. 117, 109 (1960).CrossRefADSGoogle Scholar
  29. 29.
    M. Goldman, Spin Temperature and Nuclear Magnetic Resonance in Solids (Clarendon Press, Oxford, 1970; Mir, Moscow, 1972).Google Scholar
  30. 30.
    L. L. Buishvili, G. V. Kobakhidze, and M. G. Menabde, Zh. Éksp. Teor. Fiz. 84, 138 (1983) [Sov. Phys. JETP 57, 80 (1983)].Google Scholar
  31. 31.
    D. E. Demco, J. Tegenfeldt, and J. S. Waugh, Phys. Rev. B 11, 4133 (1975).CrossRefADSGoogle Scholar
  32. 32.
    D. V. Lang and P. R. Moran, Phys. Rev. B 1, 53 (1970).ADSGoogle Scholar
  33. 33.
    U. Haeberlen, High Resolution NMR in Solids (Academic, New York, 1976; Mir, Moscow, 1980); M. Mehring, High Resolution NMR Spectroscopy in Solids (Springer-Verlag, New York, 1976; Mir, Moscow, 1980).Google Scholar
  34. 34.
    M. Engelsberg and R. E. Norberg, Phys. Rev. B 5, 3395 (1972).CrossRefADSGoogle Scholar
  35. 35.
    J. T. Markert and R. M. Gotts, Phys. Rev. B 36, 6993 (1987).CrossRefADSGoogle Scholar
  36. 36.
    V. A. Atsarkin, Fiz. Tverd. Tela (Leningrad) 27, 656 (1985) [Sov. Phys. Solid State 27, 406 (1985)].Google Scholar
  37. 37.
    A. Losche, Kerninduktion (Deutsche Verlag der Wissenschaften, Berlin, 1957; Inostrannaya Literatura, Moscow, 1963).Google Scholar

Copyright information

© MAIK "Nauka/Interperiodica" 2001

Authors and Affiliations

  • V. E. Zobov
    • 1
  • A. A. Lundin
    • 1
  • O. E. Rodionova
    • 1
  1. 1.Semenov Institute of Chemical PhysicsRussian Academy of SciencesMoscowRussia

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