2-Point correlation function of nanostructured materials via the grey-tone correlation function of electron tomograms: A three-dimensional structural analysis of ordered mesoporous silica

Gommes, Cédric; Friedrich, Heiner; De Jongh, Petra E; De Jong, Krijn P

doi:10.1016/j.actamat.2009.09.055

Article (Scientific journals)

2-Point correlation function of nanostructured materials via the grey-tone correlation function of electron tomograms: A three-dimensional structural analysis of ordered mesoporous silica

Gommes, Cédric; Friedrich, Heiner; De Jongh, Petra E et al.

2010 • In Acta Materialia, 58, p. 770-780

Peer Reviewed verified by ORBi

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https://hdl.handle.net/2268/36472

DOI
10.1016/j.actamat.2009.09.055

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Keywords :

mesoporous materials; Electron tomography; Image analysis; Correlation analysis

Abstract :

[en] Electron tomography is a unique technique for imaging the microstructure of materials with a nanometer resolution. The signal to noise ratio of electron tomograms is, however, often too low for a reliable segmentation-based image analysis. We derive a general relation between the grey-tone correlation function of the tomograms and the 2-point correlation function of the morphology, which enables to analyze quantitatively the grey-tone correlation function with a morphological model of the material. The methodology is applied to SBA-15 ordered mesoporous silica. The three-dimensional grey-tone correlation function obtained from electron tomography is analyzed in terms of a hexagonal array of Gaussian independent pores. The model enables to relate the morphology obtained from the 2-point correlation function to macroscopic characterization data of the material, notably small-angle X-ray scattering and nitrogen adsorption.

Research Center/Unit :

Departement de Chimie Appliquée, ULiège

Disciplines :

Materials science & engineering

Author, co-author :

Gommes, Cédric ; Université de Liège - ULiège > Département de chimie appliquée > Génie chimique - Génie catalytique

Friedrich, Heiner; Universiteit Utrecht > Inorganic Cemistry and Catalysis

De Jongh, Petra E; Universiteit Utrecht > Inorganic Cemistry and Catalysis

De Jong, Krijn P; Universiteit Utrecht > Inorganic Cemistry and Catalysis

Language :

English

Title :

2-Point correlation function of nanostructured materials via the grey-tone correlation function of electron tomograms: A three-dimensional structural analysis of ordered mesoporous silica

Publication date :

2010

Journal title :

Acta Materialia

ISSN :

1359-6454

eISSN :

1873-2453

Publisher :

Elsevier Science

Volume :

Pages :

770-780

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

http://www.sciencedirect.com/science/journal/13596454

Funders :

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

Available on ORBi :

since 17 May 2010

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