Gaussian random fields; mesoporous materials; SBA15
Abstract :
[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.
Research center :
Departement de Chimie Appliquée, ULiège
Disciplines :
Physics Materials science & engineering
Author, co-author :
Gommes, Cédric ; Université de Liège - ULiège > Département de chimie appliquée > Génie chimique - Génie catalytique
Pirard, Jean-Paul ; Université de Liège - ULiège > Département de chimie appliquée > Génie chimique - Génie catalytique
Language :
English
Title :
Morphological models of complex ordered materials based on inhomogeneously clipped Gaussian fields
Publication date :
December 2009
Journal title :
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
ISSN :
1539-3755
eISSN :
1550-2376
Publisher :
American Physical Society, College Park, United States - Maryland
Volume :
80
Pages :
061401
Peer reviewed :
Peer Reviewed verified by ORBi
Funders :
F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE]
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See EPAPS Document No. E-PLEEE8-80-014912 for the derivation of the relation between 2-point function and specific surface area for inhomogeneous morphologies, as well as for the details of calculations leading to Eq.. For more information on EPAPS, see http://www.aip.org/pubservs/epaps.html.