Morphological models of complex ordered materials based on inhomogeneously clipped Gaussian fields.
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.
Gommes
Cedric J
CJ
Department of Chemical Engineering, University of Liège, Allée du 6 Août 3, B-4000 Liège, Belgium.
Pirard
Jean-Paul
JP
D003102:Colloids / Q000737:chemistry*; D045424:Complex Mixtures / Q000737:chemistry*; D003198:Computer Simulation; D008956:Models, Chemical; D016011:Normal Distribution
D003102:Colloids; D045424:Complex Mixtures