Article (Scientific journals)
Inelastic neutron scattering analysis with time-dependent Gaussian-field models
Gommes, Cédric; Zorn, Reiner; Jaksch, Sebastian et al.
2021In Journal of Chemical Physics, 155 (2), p. 024121
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Keywords :
neutron scattering; neutron spin echo; small-angle scattering
Abstract :
[en] Converting neutron scattering data to real-space time-dependent structures can only be achieved through suitable models, which is particularly challenging for geometrically disordered structures. We address this problem by introducing time-dependent clipped Gaussian field models. General expressions are derived for all space- and time-correlation functions relevant to coherent inelastic neutron scattering for multiphase systems and arbitrary scattering contrasts. Various dynamic models are introduced that enable one to add time-dependence to any given spatial statistics, as captured, e.g., by small-angle scattering. In a first approach, the Gaussian field is decomposed into localized waves that are allowed to fluctuate in time or to move either ballistically or diffusively. In a second approach, a dispersion relation is used to make the spectral components of the field time-dependent. The various models lead to qualitatively different dynamics, which can be discriminated by neutron scattering. The methods of this paper are illustrated with oil/water microemulsion studied by small-angle scattering and neutron spin-echo. All available data—in both film and bulk contrasts, over the entire range of q and τ—are analyzed jointly with a single model. The analysis points to the static large-scale structure of the oil and water domains while the interfaces are subject to thermal fluctuations. The fluctuations have an amplitude of around 60 Å and contribute to 30% of the total interface area.
Disciplines :
Materials science & engineering
Physics
Author, co-author :
Gommes, Cédric  ;  Université de Liège - ULiège > Department of Chemical Engineering > Department of Chemical Engineering
Zorn, Reiner;  Forschungszentrum Jülich
Jaksch, Sebastian;  Forschungszentrum Jülich
Frielinghaus, Heinrich;  Forschungszentrum Jülich
Holderer, Olaf;  Forschungszentrum Jülich
Language :
English
Title :
Inelastic neutron scattering analysis with time-dependent Gaussian-field models
Publication date :
2021
Journal title :
Journal of Chemical Physics
ISSN :
0021-9606
eISSN :
1089-7690
Publisher :
American Institute of Physics, United States - New York
Volume :
155
Issue :
2
Pages :
024121
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 25 January 2022

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