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Multilevel relaxation model for describing the Mössbauer spectra of nanoparticles in a magnetic field

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Abstract

A theory is developed for the Mössbauer absorption spectra of an ensemble of single-domain particles in a magnetic field. This theory is based on the generalization of a relaxation model with a quantummechanical description of the stationary states of a particle and on the formalism of Liouville operators for describing the hyperfine interaction for a hyperfine field changing in both the magnitude and direction for various stationary states. The general scheme of calculating relaxation Mössbauer spectra in terms of a standard stochastic approach is substantially optimized using operations with block matrices and a unique tridiagonalization of high-rank non-Hermitian matrices with a simple nonorthogonal transformation in the calculation procedure. The resulting model can easily be implemented on a personal computer. It considers the physical mechanisms of formation of a hyperfine structure in a spectrum of nanoparticles in a real situation and self-consistently describes the qualitative features of the nontrivial evolution of spectra with the temperature and the magnetic-field direction and strength, which has been detected in 57Fe nucleus experiments performed on magnetic nanoparticles for half a century.

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Authors and Affiliations

  1. Institute of Physics and Technology, Russian Academy of Sciences, Moscow, 117218, Russia

    M. A. Chuev

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Correspondence to M. A. Chuev.

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Original Russian Text © M.A. Chuev, 2012, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2012, Vol. 141, No. 4, pp. 698–722.

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Chuev, M.A. Multilevel relaxation model for describing the Mössbauer spectra of nanoparticles in a magnetic field. J. Exp. Theor. Phys. 114, 609–630 (2012). https://doi.org/10.1134/S1063776112020185

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