Analysis of Contact Interactions between a Rough Deformable Colloid and a Smooth Substrate.

A model was developed for the effect of van der Waals interactions between a rough, deformable, spherical colloid and a flat, smooth, hard surface in contact. The model demonstrates the significant effect of colloid roughness on removal force. Small changes in colloid roughness produce large changes in the predicted removal force. Several authors attribute discrepancies in the observed interaction force between particles and surfaces to colloid roughness, and our model supports their hypotheses. Experimental data documenting the force required to remove colloids of polystyrene latex from silica substrates in aqueous solution were collected during AFM studies of this system. When colloid roughness exists, as is the case in this work, our model bounds the observed removal force. The predicted range of removal forces is in better quantitative agreement with our removal force data than are forces predicted by classical DLVO theory. Copyright 2000 Academic Press.

[1]  D. Tabor.  Surface Forces and Surface Interactions , 1977 .

[2]  R. Allen Bowling,et al.  An Analysis of Particle Adhesion on Semiconductor Surfaces , 1985 .

[3]  R. S. Bradley,et al.  LXXIX. The cohesive force between solid surfaces and the surface energy of solids , 1932 .

[4]  Marek W. Urban,et al.  The effect of Young’s modulus on the surface‐force‐induced contact radius of spherical glass particles on polyurethane substrates , 1992 .

[5]  Marco Tortonese,et al.  Characterization of application-specific probes for SPMs , 1997, Photonics West.

[6]  M. B. Ranade,et al.  Adhesion and Removal of Fine Particles on Surfaces , 1987 .

[7]  Shigeru Okuma,et al.  Adhesive force distribution on microstructures investigated by an atomic force microscope , 1994 .

[8]  Lakkapragada Suresh,et al.  Effect of Surface Roughness on the Interaction Energy between a Colloidal Sphere and a Flat Plate , 1996 .

[9]  Timothy Senden,et al.  Measurement of forces in liquids using a force microscope , 1992 .

[10]  U. Landman,et al.  Nanotribology: friction, wear and lubrication at the atomic scale , 1995, Nature.

[11]  K. Kendall,et al.  Surface energy and the contact of elastic solids , 1971, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[12]  Jacob N. Israelachvili,et al.  Interactions of silica surfaces , 1994 .

[13]  D. Rimai,et al.  Surface force interactions between micrometer-size polystyrene spheres and silicon substrates using atomic force techniques , 1994 .

[14]  H. Mizes.  Surface Roughness and Particle Adhesion , 1995 .

[15]  Francois Creuzet,et al.  Atomic force microscopy for local characterization of surface acid-base properties , 1993 .

[16]  T. Dąbroś,et al.  Attenuation of the van der Waals attraction energy in the particlesemi-infinite medium system due to the roughness of the particle surface , 1980 .

[17]  G. Spinks,et al.  Atomic force microscopy investigation of the adhesion between a single polymer sphere and a flat surface , 1998 .

[18]  D. Maugis.  Adhesion of spheres : the JKR-DMT transition using a dugdale model , 1992 .

[19]  Butt,et al.  Measuring adhesion, attraction, and repulsion between surfaces in liquids with an atomic-force microscope. , 1992, Physical review. B, Condensed matter.

[20]  David Tabor,et al.  The effect of surface roughness on the adhesion of elastic solids , 1975, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[21]  D. F. Evans,et al.  Long-range attractive force between hydrophobic surfaces observed by atomic force microscopy. , 1993, Science.

[22]  Shigeru Okuma,et al.  Scanning force microscope technique for adhesion distribution measurement , 1995 .

[23]  Richard M. Pashley,et al.  Direct measurement of colloidal forces using an atomic force microscope , 1991, Nature.

[24]  B. V. Derjaguin,et al.  Effect of contact deformations on the adhesion of particles , 1975 .

[25]  Egon Matijević,et al.  Surface and Colloid Science , 1971 .

[26]  B. Derjaguin,et al.  On the influence of molecular forces on the deformation of an elastic sphere and its sticking to a rigid plane , 1980 .

[27]  B. Ninham,et al.  Theory of self-assembly of lipid bilayers and vesicles. , 1977, Biochimica et biophysica acta.

[28]  H. Butt,et al.  Measuring local surface charge densities in electrolyte solutions with a scanning force microscope. , 1992, Biophysical journal.

[29]  P. Hansma,et al.  A nondestructive method for determining the spring constant of cantilevers for scanning force microscopy , 1993 .

[30]  B. Derjaguin,et al.  Untersuchungen über die Reibung und Adhäsion, IV , 1934 .

[31]  D. Rimai,et al.  Surface roughness and its influence on particle adhesion using atomic force techniques , 1995 .

[32]  R. C. Bowen,et al.  Adhesion‐induced deformations of polymeric substrates: Particle size dependence of the contact area , 1989 .

[33]  Hubert M. Pollock,et al.  Surface forces, deformation and adherence at metal microcontacts , 1984 .

[34]  H. C. Hamaker.  The London—van der Waals attraction between spherical particles , 1937 .

[35]  D. Rimai,et al.  Observations of adhesion‐induced deformations between spheroidal gold particles and conducting substrates , 1989 .

[36]  M. J. Sparnaay.  Four notes on van der waals forces. Induction effect, nonadditivity, attraction between a cone and a flat plate (asperities), history , 1983 .

[37]  H. Butt,et al.  Measuring electrostatic, van der Waals, and hydration forces in electrolyte solutions with an atomic force microscope. , 1991, Biophysical journal.

[38]  R. M. Cannon,et al.  Full spectral calculation of non-retarded Hamaker constants for ceramic systems from interband transition strengths , 1995 .

[39]  S. Bhattacharjee,et al.  DLVO interaction between rough surfaces , 1998 .

[40]  R. S. Bradley,et al.  The cohesion between smoke particles , 1936 .

[41]  Y. Chiang,et al.  Comparisons of Hamaker constants for ceramic systems with intervening vacuum or water : From force laws and physical properties , 1996 .

[42]  H. Pollock.  Contact adhesion between solids in vacuum. II. Deformation and interfacial energy , 1978 .

[43]  D. Rimai,et al.  Surface‐force‐induced deformations of monodisperse polystyrene spheres on planar silicon substrates , 1990 .