Reference : Magnetic Guinier Law and Uniaxial Polarization Analysis in Small Angle Neutron Scattering
Dissertations and theses : Doctoral thesis
Physical, chemical, mathematical & earth Sciences : Physics
Physics and Materials Science
Magnetic Guinier Law and Uniaxial Polarization Analysis in Small Angle Neutron Scattering
Malyeyev, Artem mailto [University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS) >]
University of Luxembourg, ​Luxembourg, ​​Luxembourg
Michels, Andreas mailto
Guennou, Mael mailto
Mühlbauer, Sebastian mailto
Brida, Daniele mailto
Barquin, Luis Fernandez mailto
[en] The present PhD thesis is devoted to the development of the use of the magnetic small-angle neutron scattering (SANS) technique for analyzing the magnetic microstructures of magnetic materials. The emphasis is on the three aspects: (i) analytical development of the magnetic Guinier law; (ii) the application the magnetic Guinier law and of the generalized Guinier-Porod model to the analysis of experimental neutron data on various magnets such as a Nd-Fe-B nanocomposite, nanocrystalline cobalt, and Mn-Bi rare-earth-free permanent magnets; (iii) development of the theory of uniaxial neutron polarization analysis and experimental testing on a soft magnetic nanocrystalline alloy.

The conventional “nonmagnetic” Guinier law represents the low-q approximation for the small-angle scattering curve from an assembly of particles. It has been derived for nonmagnetic particle-matrix-type systems and is routinely employed for the estimation of particle sizes in e.g., soft-matter physics, biology, colloidal chemistry, materials science. Here, the extension of the Guinier law is provided for magnetic SANS through the introduction of the magnetic Guinier radius, which depends on the applied magnetic field, on the magnetic interactions (exchange constant, saturation magnetization), and on the magnetic anisotropy-field radius. The latter quantity characterizes the size over which the magnetic anisotropy field is coherently aligned into the same direction. In contrast to the conventional Guinier law, the magnetic version can be applied to fully dense random-anisotropy-type ferromagnets. The range of applicability is discussed and the validity of the approach is experimentally demonstrated on a Nd-Fe-B-based ternary permanent magnet and on a nanocrystalline cobalt sample.

Rare-earth-free permanent magnets in general and the Mn-Bi-based ones in particular have received a lot of attention lately due to their application potential in electronics devices and electromotors. Mn-Bi samples with three different alloy compositions were studied by means of unpolarized SANS and by very small-angle neutron scattering (VSANS). It turns out that the magnetic scattering of the Mn-Bi samples is determined by long-wavelength transversal magnetization fluctuations. The neutron data is analyzed in terms of the generalized Guinier-Porod model and the distance distribution function. The results for the so-called dimensionality parameter obtained from the Guinier-Porod model indicate that the magnetic scattering of a Mn$_{45}$Bi$_{55}$ specimen has its origin in slightly shape-anisotropic structures and the same conclusions are drawn from the distance distribution function analysis.

Finally, based on Brown’s static equations of micromagnetics and the related theory of magnetic SANS, the uniaxial polarization of the scattered neutron beam of a bulk magnetic material is computed. The theoretical expressions are tested against experimental data on a soft magnetic nanocrystalline alloy, and both qualitative and quantitative correspondence is discussed. The rigorous analysis of the polarization of the scattered neutron beam establishes the framework for the emerging polarized real-space techniques such as spin-echo small-angle neutron scattering (SESANS), spin-echo modulated small-angle neutron scattering (SEMSANS), and polarized neutron dark-field contrast imaging (DFI), and opens up a new avenue for magnetic neutron data analysis on nanoscaled systems.
Fonds National de la Recherche - FnR
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