[en] Gaussian random fields ; mesoporous materials ; SBA15
[en] Clipping a Gaussian random field at a level that is position-dependent yields statistically non-homogeneous morphologies, relevant to many ordered nanostructured materials. The 1-point and 2-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.
Departement de Chimie Appliquée, ULg
Fonds de la Recherche Scientifique (Communauté française de Belgique) - F.R.S.-FNRS