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