[en] We show experimentally and analytically that for single-valued, isotropic, homogeneous, randomly rough surfaces consisting of bumps randomly protruding over a continuous background, superhydrophobicity is related to the power spectral density of the surface height, which can be derived from microscopy measurements. More precisely, superhydrophobicity correlates with the third moment of the power spectral density, which is directly related to the notion of Wenzel roughness (i.e., the ratio between the real area of the surface and its projected area). In addition, we explain why randomly rough surfaces with identical root-mean-square roughness values may behave differently with respect to water repellence and why roughness components with wavelength larger than 10 μm are not likely to be of importance or, stated otherwise, why superhydrophobicity often requires a contribution from submicrometer-scale components such as nanoparticles. The analysis developed here also shows that the simple thermodynamic arguments relating superhydrophobicity to an increase in the sample area are valid for this type of surface, and we hope that it will help researchers to fabricate efficient superhydrophobic surfaces based on the rational design of their power spectral density.
Research Center/Unit :
Center for Education and Research on Macromolecules (CERM)
Disciplines :
Materials science & engineering Chemistry
Author, co-author :
Awada, Houssein; Université catholique de Louvain (UCL) > Institute of Condensed Matter and Nanosciences
Grignard, Bruno ; Université de Liège - ULiège > Department of Chemistry > Center for Education and Research on Macromolecules (CERM)
Jérôme, Christine ; Université de Liège - ULiège > Department of Chemistry > Center for Education and Research on Macromolecules (CERM)
Vaillant, Alexandre; University of Mons (UMons) > Laboratoire de Physique des Surfaces et des Interfaces (LPSI)
De Coninck, Joël; University of Mons (UMons) > Laboratoire de Physique des Surfaces et des Interfaces (LPSI)
Nysten, Bernard; Université catholique de Louvain (UCL) > Institute of Condensed Matter and Nanosciences
Jonas, Alain M.; Université catholique de Louvain (UCL) > Institute of Condensed Matter and Nanosciences
Language :
English
Title :
Correlation between superhydrophobicity and the power spectral density of randomly rough surfaces
Publication date :
07 December 2010
Journal title :
Langmuir
ISSN :
0743-7463
eISSN :
1520-5827
Publisher :
American Chemical Society, Washington, United States - District of Columbia
F.R.S.-FNRS - Fonds de la Recherche Scientifique BELSPO - SPP Politique scientifique - Service Public Fédéral de Programmation Politique scientifique The Walloon Region in the frame of the CORRONET project
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Bibliography
de Gennes, P.-G.; Brochard-Wyart, F.; Quéré, D. Capillarity and Wetting Phenomena: Drops, Bubbles, Pearls, Waves.: Springer: New York, 2004.
Palasantzas, G.; De Hosson, J. Th. M. Acta Mater. 2001, 49, 3533-3538
Duparré, A.; Flemming, M.; Steinert, J.; Reihs, K. Appl. Opt. 2002, 41, 3294-3298
Flemming, M.; Coriand, L.; Duparré, A. J. Adhes. Sci. Technol. 2009, 23, 381-400
A single-valued surface is a surface for which any line drawn perpendicular to the average interface intersects the air/material interface only once. Multivalued surfaces are, for example, surfaces exhibiting re-entrant roughness, such as those made of a mat of horizontal fibers.
Johnson, R. E., Jr. J. Phys. Chem. 1959, 63, 1655-1658
Gray, V. R. Chem. Ind. 1965, 969-978
Press, W. H.; Teukolsy, S. A.; Vetterling, W. T.; Flannery, B. P. Numerical Recipes in C: The Art of Scientific Computing, 2 nd ed.; Cambridge University Press: Cambridge, U.K., 1992.
Pratt, W. K. Digital Image Processing; Wiley: New York, 1991.
Stone, V. W.; Jonas, A. M.; Nysten, B.; Legras, R. Phys. Rev. B 1999, 60, 5883-5894
Sentenac, A.; Daillant, J. In X-ray and Neutron Reflectivity: Principles and Applications; Daillant, J.,; Gibaud, A., Eds; Springer: Berlin, 1999; Chapter 2.
Grignard, B.; Jérôme, C.; Calberg, C.; Detrembleur, C.; Jérôme, R. J. Polym. Sci., Part A: Polym. Chem. 2007, 45, 1499-1506
Grignard, B.; Jérôme, C.; Calberg, C.; Jérôme, R.; Detrembleur, C. Eur. Polym. J. 2008, 44, 861-871
Bollinne, C.; Cuenot, S.; Nysten, B.; Jonas, A. M. Eur. Phys. J. E 2003, 12, 389-396
Barthlott, W.; Neinhuis, C. Planta 1997, 202, 1-8
Herminghaus, S. Europhys. Lett. 2000, 52, 165-170
Hipp, B.; Kunert, I.; Dürr, M. Langmuir 2010, 26, 6557-6560
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