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Theory of nuclear relaxation in concentrated paramagnetic solutions

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Abstract

Relaxation equations are derived for an electron-nuclear spin system, with account of the exchange interaction between electronic spins. It is shown that the relaxation equations can be derived by standard perturbation theory, with the help of the random-local-field method, based on a certain stochastic model of the exchange coupling. The perturbation theory is carried out to second order only for the interactions which are directly responsible for the relaxation, and the exchange interaction can be arbitrarily strong. The relaxation times are expressed in terms of the spectral densities of the correlation functions, which describe not only the thermal broadening of the electron-nuclear interactions, but also the exchange interaction. An explicit expression is obtained for these correlation functions.

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Authors and Affiliations

  1. Kirov Ural Polytechnic Institute, USSR

    S. P. Dovgopol & T. G. Izyumova

Authors
  1. S. P. Dovgopol
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  2. T. G. Izyumova
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Dovgopol, S.P., Izyumova, T.G. Theory of nuclear relaxation in concentrated paramagnetic solutions. Soviet Physics Journal 11, 74–79 (1968). https://doi.org/10.1007/BF00817948

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  • DOI: https://doi.org/10.1007/BF00817948

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