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A novel model for the interpretation of small‐angle scattering experiments of self‐affine structures
Author(s) -
Schneider Gerald J.,
Göritz D.
Publication year - 2010
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s0021889809048791
Subject(s) - spheres , anisotropy , deformation (meteorology) , scattering , materials science , matrix (chemical analysis) , interpretation (philosophy) , small angle scattering , affine transformation , natural rubber , small angle x ray scattering , optics , function (biology) , physics , geometry , composite material , mathematics , computer science , astronomy , evolutionary biology , biology , programming language
A novel theory is presented which allows, for the first time, the analytical description of small‐angle scattering experiments on anisotropic shaped clusters of nanoparticles. Experimentally, silica‐filled rubber which is deformed is used as an example. The silica can be modelled by solid spheres which form clusters. The experiments demonstrate that the clusters become anisotropic as a result of the deformation whereas the spheres are not affected. A comparison of the newly derived model function and the experiments provides, for the first time, microscopic evidence of the inhomogeneous deformation of clusters in the rubbery matrix.