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

Cedric J CJ Gommes and Jean-Paul JP Pirard

Phys Rev E Stat Nonlin Soft Matter Phys 80(6 Pt 1):061401 (2009) PMID 20365169

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.

DOI: 10.1103/PhysRevE.80.061401
Version: za2963e q8za1 q8zb9 q8zc5 q8zd1 q8ze0 q8zfb q8zgc
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