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Fourier Transform μSR

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Fourier, Hadamard, and Hilbert Transforms in Chemistry

Abstract

The technique of muon spin rotation (μSR) is described, with examples of its application in the fields of chemistry and solid state physics. It is shown how the raw experimental data contains information about the evolution of the spin polarization of muons stopped in matter. Fourier transformation provides a means of extracting the precession frequencies characteristic of various muonic species. Some manipulation of the raw data is essential to ensure accurate representation of the frequency information, and further techniques are often used to improve the final spectrum. These are discussed, and some examples are given of their effects. This is followed by descriptions of specific applications of Fourier transform μSR in the study of the light hydrogen isotope muoniun (Mu = μ+e−), muonium-substituted free radicals, and paramagnetic states of the μ+ in solids.

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Author information

Authors and Affiliations

  1. Department of Physics, University of British Columbia, Vancouver, B.C., V6T 2A6, Canada

    Jess H. Brewer

  2. Department of Chemistry, University of British Columbia, Vancouver, B.C., V6T 1Y6, Canada

    Donald G. Fleming

  3. Department of Chemistry, Simon Fraser University, Burnaby, B.C., V5A 1S6, Canada

    Paul W. Percival

Authors
  1. Jess H. Brewer
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  2. Donald G. Fleming
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  3. Paul W. Percival
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Editors and Affiliations

  1. The Ohio State University, Columbus, Ohio, USA

    Alan G. Marshall

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Brewer, J.H., Fleming, D.G., Percival, P.W. (1982). Fourier Transform μSR. In: Marshall, A.G. (eds) Fourier, Hadamard, and Hilbert Transforms in Chemistry. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0336-5_12

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  • DOI: https://doi.org/10.1007/978-1-4899-0336-5_12

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-0338-9

  • Online ISBN: 978-1-4899-0336-5

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