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Paramagnetic Mössbauer spectra of161Dy(Г6 or Г7 and166Er(Г8) in cubic symmetry: Influence of relaxation

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Abstract

When hyperfine interactions are non-diagonal with respect to the electronic states, the effective-field approximation does not hold, and the influence of relaxation on paramagnetic Mössbauer spectra can be described by the Clauser and Blume stochastic theory. This theory involves the inversion of matrices whose dimension is:d=(2S+1)2 (2I e+1)(2I g+1) and becomes impracticable ifd is large. It is then possible to simplify the method by using the random phase approximation, which eliminates the stochastic indices in the expression of the line shape: only matrices of dimension (2I e+1)(2I g+1) have to be inverted at each point of the spectrum. Specific calculations are presented for161Dy and166Er nuclei in a cubic environment.

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Authors and Affiliations

  1. Département de Recherche Fondamentale, Laboratoire de Chimie Physique Nucléaire, Centre d'Etudes Nucléaires de Grenoble, B.P. 85, 38041, Grenoble Cedex, France

    J. Sivardiere

  2. Physics Department, Brookhaven National Laboratory, 11973, Upton, NY, USA

    M. Blume

  3. State University of New-York, 11794, Stony Brook, NY, USA

    M. Blume

Authors
  1. J. Sivardiere
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  2. M. Blume
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Additional information

Work at Brookhaven performed under the auspices of the US Energy Research and Development Administration; at Stony Brook supported by the National Science Foundation.

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Sivardiere, J., Blume, M. Paramagnetic Mössbauer spectra of161Dy(Г6 or Г7 and166Er(Г8) in cubic symmetry: Influence of relaxation. Hyperfine Interact 1, 283–294 (1975). https://doi.org/10.1007/BF01022460

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  • DOI: https://doi.org/10.1007/BF01022460

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