Morphological models of complex ordered materials based on inhomogeneously clipped Gaussian fields
Autor: | Cedric J. Gommes, Jean-Paul Pirard |
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Rok vydání: | 2009 |
Předmět: |
Materials science
business.industry Scattering Gaussian Normal Distribution Function (mathematics) Mesoporous silica Complex Mixtures Gaussian random field symbols.namesake Fractal Optics Clipping (photography) Models Chemical Specific surface area symbols Computer Simulation Statistical physics Colloids business |
Zdroj: | Physical review. E, Statistical, nonlinear, and soft matter physics. 80(6 Pt 1) |
ISSN: | 1550-2376 |
Popis: | Clipping a Gaussian random field at a level that is position-dependent yields statistically inhomogeneous morphologies, relevant to many ordered nanostructured materials. The one-point and two-point probability functions of the morphology are derived, as well as a general relation between the specific surface area and the gradient of the clipping function. The general results are particularized for the comprehensive analysis of small-angle x-ray scattering and nitrogen adsorption of SBA-15 ordered mesoporous silica. |
Databáze: | OpenAIRE |
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