Rationalisation of distribution functions for models of nanoparticle magnetism

A formalism is presented which reconciles the use of different distribution functions of particle diameter in analytical models of the magnetic properties of nanoparticle systems. For the lognormal distribution a transformation is derived which shows that a distribution of volume fraction transforms...

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Bibliographic Details
Published in:Journal of magnetism and magnetic materials 2012-08, Vol.324 (16), p.2593-2595
Main Authors: El-Hilo, M., Chantrell, R.W.
Format: Article
Language:English
Subjects:
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Distribution functions
Exact sciences and technology
Formalism
Magnetic materials
Magnetic properties and materials
Magnetic properties of nanostructures
Magnetism
Nanocomposites
Nanomaterials
Nanoparticle magnetism
Nanostructure
Physics
Size distribution function
Transformations
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Summary:A formalism is presented which reconciles the use of different distribution functions of particle diameter in analytical models of the magnetic properties of nanoparticle systems. For the lognormal distribution a transformation is derived which shows that a distribution of volume fraction transforms into a lognormal distribution of particle number albeit with a modified median diameter. This transformation resolves an apparent discrepancy reported in Tournus and Tamion [Journal of Magnetism and Magnetic Materials 323 (2011) 1118]. ► We resolve a problem resulting from the misunderstanding of the nature. ► The nature of dispersion functions in models of nanoparticle magnetism. ► The derived transformation between distributions will be of benefit in comparing models and experimental results.
ISSN:0304-8853
DOI:10.1016/j.jmmm.2012.02.108