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

作者: Cedric J. Gommes , Jean-Paul Pirard

DOI: 10.1103/PHYSREVE.80.061401

关键词:

摘要: Clipping a Gaussian random field at 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 general relation between specific surface area gradient clipping function. results particularized for comprehensive analysis small-angle x-ray scattering nitrogen adsorption SBA-15 mesoporous silica.

参考文章(36)
John A. Quintanilla, W. Max Jones, Using convex quadratic programming to model random media with Gaussian random fields. Physical Review E. ,vol. 75, pp. 046709- 046709 ,(2007) , 10.1103/PHYSREVE.75.046709
Michal Kruk, Mietek Jaroniec, Chang Hyun Ko, Ryong Ryoo, Characterization of the Porous Structure of SBA-15 Chemistry of Materials. ,vol. 12, pp. 1961- 1968 ,(2000) , 10.1021/CM000164E
S. Ciccariello, G. Cocco, A. Benedetti, S. Enzo, Correlation functions of amorphous multiphase systems Physical Review B. ,vol. 23, pp. 6474- 6485 ,(1981) , 10.1103/PHYSREVB.23.6474
Anthony P. Roberts, Morphology and thermal conductivity of model organic aerogels Physical Review E. ,vol. 55, ,(1997) , 10.1103/PHYSREVE.55.R1286
S. H. Chen, D. D. Lee, K. Kimishima, H. Jinnai, T. Hashimoto, Measurement of the Gaussian curvature of the surfactant film in an isometric bicontinuous one-phase microemulsion. Physical Review E. ,vol. 54, pp. 6526- 6531 ,(1996) , 10.1103/PHYSREVE.54.6526
P. Debye, H. R. Anderson, H. Brumberger, Scattering by an Inhomogeneous Solid. II. The Correlation Function and Its Application Journal of Applied Physics. ,vol. 28, pp. 679- 683 ,(1957) , 10.1063/1.1722830
S. Förster, A. Timmann, M. Konrad, C. Schellbach, A. Meyer, S. S. Funari, P. Mulvaney, R. Knott, Scattering curves of ordered mesoscopic materials. Journal of Physical Chemistry B. ,vol. 109, pp. 1347- 1360 ,(2005) , 10.1021/JP0467494
Cedric J. Gommes, Anthony P. Roberts, Structure development of resorcinol-formaldehyde gels: microphase separation or colloid aggregation. Physical Review E. ,vol. 77, pp. 041409- ,(2008) , 10.1103/PHYSREVE.77.041409
Cedric J. Gommes, Heiner Friedrich, Mariska Wolters, Petra E. de Jongh, Krijn P. de Jong, Quantitative Characterization of Pore Corrugation in Ordered Mesoporous Materials Using Image Analysis of Electron Tomograms Chemistry of Materials. ,vol. 21, pp. 1311- 1317 ,(2009) , 10.1021/CM803092C