Hyperfine Interactions

, Volume 96, Issue 1, pp 167–175 | Cite as

A generalized Kubo-Toyabe formula for muon spin relaxation in crystals with uniaxial symmetry

  • G. Solt
Article
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Abstract

The Kubo-Toyabe semiclassical formula, describing the time development of the polarization of a particle in zero external field at a lattice site with cubic local environment, is generalized for uniaxial site symmetry. The relaxation function and, in particular, its first moments and long time asymptotics obtained in a closed form depend on the angleθ between polarization and the crystalc-axis and are shown to vary sensitively with the asymmetryε of the field distribution at the particular muon site. Besides the exact “uniaxial” variant of the Kubo-Toyabe relaxation function, an approximate simple interpolation formula is also derived, which is correct for both short times and in its long time asymptotics. The two parameters (ε, Δ1) in the “uniaxial” formulae can be determined by using the observed values of the second momentM2 for two different crystal orientations.

Keywords

Time Development Closed Form External Field Lattice Site Local Environment 
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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Copyright information

© J.C. Baltzer AG, Science Publishers 1995

Authors and Affiliations

  • G. Solt
    • 1
  1. 1.Paul Scherrer InstituteVilligenSwitzerland

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