Morphological models of complex ordered materials  based on inhomogeneously clipped Gaussian fields

[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/Unit :

Departement de Chimie Appliquée, ULiège

Disciplines :

Materials science & engineering
Physics

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 :

Pages :

061401

Peer reviewed :

Peer Reviewed verified by ORBi

Funders :

F.R.S.-FNRS - Fonds de la Recherche Scientifique

Available on ORBi :

since 17 December 2009

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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.