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A Bayesian approach to magnetic moment determination using μSR

Abstract:

A significant challenge in zero-field μSR experiments arises from the uncertainty in the muon site. It is possible to calculate the dipole field (and hence precession frequency v) at any particular site given the magnetic moment μ and magnetic structure. One can also evaluate f(v), the probability distribution function of v assuming that the muon site can be anywhere within the unit cell with equal probability, excluding physically forbidden sites. Since v is obtained from experiment, what we would like to know is g(μjv), the probability density function of μ given the observed v. This can be obtained from our calculated f(v/μ) using Bayes’ theorem. We describe an approach to this problem which we have used to extract information about real systems including a low-moment osmate compound, a family of molecular magnets, and an iron-arsenide compound.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.phpro.2012.04.052

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Condensed Matter Physics
Role:
Author

Publisher:
Elsevier
Host title:
Physics Procedia (Special issue): 12th International Conference on Muon Spin Rotation, Relaxation and Resonance (μSR2011)
Volume:
30
Pages:
113-116
Publication date:
2012-01-01
DOI:
ISSN:
1875-3892

Keywords:
UUID:
uuid:cd3e16ca-d434-4c83-b12f-b17124c156d6
Local pid:
pubs:364192
Source identifiers:
364192
Deposit date:
2013-11-16

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