Mathematical models for the van der waals force and capillary force between a rough particle and surface

Langmuir

Volumn 29, Issue 29, 2013, Pages 9104-9117

  You, Siming ^a   Wan, Man Pun ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

ADHESION FORCES; CAPILLARY FORCE; CLASSICAL SOLUTIONS; EXPERIMENTAL DATUM; HURST EXPONENTS; PARTICLE SURFACE; ROUGH PARTICLES; ROUGHNESS DISTRIBUTIONS;

ADHESION; CONTACT ANGLE; MATHEMATICAL MODELS; VAN DER WAALS FORCES;

SURFACE ROUGHNESS;

EID: 84880632373     PISSN: 07437463     EISSN: 15205827     Source Type: Journal    
DOI: 10.1021/la401516m     Document Type: Article

References (68)

1. Thatcher, T. L.; Layton, D. W. Deposition, resuspension, and penetration of particles within a residence Atmos. Environ. 1995, 29 (13) 1487-1497
2. Hickey, A. J.; Mansour, H. M.; Telko, M. J.; Xu, Z.; Smyth, H. D. C.; Mulder, T.; McLean, R.; Langridge, J.; Papadopoulos, D. Physical characterization of component particles included in dry powder inhalers. I. Strategy review and static characteristics J. Pharm. Sci. 2007, 96 (5) 1282-1301
3. Wang, F.-J.; Zhu, J.-X.; Beeckmans, J. Pressure gradient and particle adhesion in the pneumatic transport of cohesive fine powders Int. J. Multiphase Flow 2000, 26 (2) 245-265
4. Zhou, H.; Götzinger, M.; Peukert, W. The influence of particle charge and roughness on particle-substrate adhesion Powder Technol. 2003, 135, 82-91
5. Gady, B.; Schleef, D.; Reifenberger, R.; Rimai, D.; DeMejo, L. Identification of electrostatic and van der Waals interaction forces between a micrometer-size sphere and a flat substrate Phys. Rev. B 1996, 53 (12) 8065
6. Bowling, R. A. An analysis of particle adhesion on semiconductor surfaces J. Electrochem. Soc. 1985, 132 (9) 2208-2214
7. Bunker, M. J.; Davies, M. C.; James, M. B.; Roberts, C. J. Direct observation of single particle electrostatic charging by atomic force microscopy Pharm. Res. 2007, 24 (6) 1165-1169
8. Johnson, K.; Kendall, K.; Roberts, A. Surface energy and the contact of elastic solids Proc. R. Soc. London, Ser. A 1971, 324 (1558) 301-313
9. Derjaguin, B.; Muller, V.; Toporov, Y. P. Effect of contact deformations on the adhesion of particles J. Colloid Interface Sci. 1975, 53 (2) 314-326
10. Rumpf, H. Die Wissenschaft des Agglomerierens Chem. Ing. Tech. 1974, 46 (1) 1-11
11. Rabinovich, Y. I.; Adler, J. J.; Ata, A.; Singh, R. K.; Moudgil, B. M. Adhesion between nanoscale rough surfaces: II. Measurement and comparison with theory J. Colloid Interface Sci. 2000, 232 (1) 17-24
12. Rabinovich, Y. I.; Adler, J. J.; Ata, A.; Singh, R. K.; Moudgil, B. M. Adhesion between Nanoscale Rough Surfaces: I. Role of Asperity Geometry J. Colloid Interface Sci. 2000, 232 (1) 10-16
13. Orr, F.; Scriven, L.; Rivas, A. Pendular rings between solids: Meniscus properties and capillary force J. Fluid Mech. 1975, 67 (4) 723-742
14. Pakarinen, O.; Foster, A.; Paajanen, M.; Kalinainen, T.; Katainen, J.; Makkonen, I.; Lahtinen, J.; Nieminen, R. Towards an accurate description of the capillary force in nanoparticle-surface interactions Modell. Simul. Mater. Sci. Eng. 2005, 13 (7) 1175
15. Beach, E. R.; Drelich, J. Atomic force microscope pull-off force measurements for insulin in contact with acrylonitrile-butadiene-styrene and polypropylene surfaces at various humidities J. Adhes. Sci. Technol. 2011, 25 (4-5) 435-449
16. Çolak, A.; Wormeester, H.; Zandvliet, H. J. W.; Poelsema, B. Surface adhesion and its dependence on surface roughness and humidity measured with a flat tip Appl. Surf. Sci. 2012, 258, 6938-6942
17. Rabinovich, Y. I.; Adler, J. J.; Esayanur, M. S.; Ata, A.; Singh, R. K.; Moudgil, B. M. Capillary forces between surfaces with nanoscale roughness Adv. Colloid Interface Sci. 2002, 96 (1-3) 213-230
18. Butt, H. J. Capillary forces: Influence of roughness and heterogeneity Langmuir 2008, 24 (9) 4715-4721
19. Greenwood, J.; Wu, J. Surface roughness and contact: An apology Meccanica 2001, 36 (6) 617-630
20. Robbe-Valloire, F. Statistical analysis of asperities on a rough surface Wear 2001, 249 (5) 401-408
21. Beach, E.; Tormoen, G.; Drelich, J.; Han, R. Pull-off force measurements between rough surfaces by atomic force microscopy J. Colloid Interface Sci. 2002, 247 (1) 84-99
22. Bigerelle, M.; Mathia, T.; Bouvier, S. The multi-scale roughness analyses and modeling of abrasion with the grit size effect on ground surfaces Wear 2012, 286, 124-135
23. Bora, C.; Flater, E.; Street, M.; Redmond, J.; Starr, M.; Carpick, R.; Plesha, M. Multiscale roughness and modeling of MEMS interfaces Tribol. Lett. 2005, 19 (1) 37-48
24. Archard, J. Elastic deformation and the laws of friction Proc. R. Soc. London, Ser. A. 1957, 243 (1233) 190-205
25. Ibrahim, A.; Dunn, P.; Qazi, M. Experiments and validation of a model for microparticle detachment from a surface by turbulent air flow J. Aerosol Sci. 2008, 39 (8) 645-656
26. Persson, B.; Tosatti, E. The effect of surface roughness on the adhesion of elastic solids J. Chem. Phys. 2001, 115, 5597-5610
27. Persson, B.; Albohr, O.; Tartaglino, U.; Volokitin, A.; Tosatti, E. On the nature of surface roughness with application to contact mechanics, sealing, rubber friction and adhesion J. Phys.: Condens. Matter 2004, 17 (1) R1
28. Muller, V.; Yushchenko, V.; Derjaguin, B. On the influence of molecular forces on the deformation of an elastic sphere and its sticking to a rigid plane J. Colloid Interface Sci. 1980, 77 (1) 91-101
29. Greenwood, J.; Tripp, J. The contact of two nominally flat rough surfaces Proc.-Inst. Mech. Eng. 1970, 185 (1) 625-633
30. Prokopovich, P.; Perni, S. Multiasperity Contact Adhesion Model for Universal Asperity Height and Radius of Curvature Distributions Langmuir 2010, 26 (22) 17028
31. Morag, Y.; Etsion, I. Resolving the contradiction of asperities plastic to elastic mode transition in current contact models of fractal rough surfaces Wear 2007, 262 (5) 624-629
32. Lian, G.; Thornton, C.; Adams, M. J. A theoretical study of the liquid bridge forces between two rigid spherical bodies J. Colloid Interface Sci. 1993, 161 (1) 138-147
33. Xiao, X.; Qian, L. Investigation of humidity-dependent capillary force Langmuir 2000, 16 (21) 8153-8158
34. Israelachvili, J. N. Intermolecular and Surface Forces, revised 3 rd ed.; Academic Press: Waltham, MA, 2011.
35. Derjaguin, B. V. Untersuchungen über die Reibung und Adhäsion, IV Colloid Polym. Sci. 1934, 69 (2) 155-164
36. Rabinovich, Y. I.; Esayanur, M. S.; Johanson, K. D.; Adler, J. J.; Moudgil, B. M. Measurement of oil-mediated particle adhesion to a silica substrate by atomic force microscopy J. Adhes. Sci. Technol. 2002, 16 (7) 887-903
37. Zhou, H.; Peukert, W. Modeling adhesion forces between deformable bodies by FEM and hamaker summation Langmuir 2008, 24 (4) 1459-1468
38. Biggs, S.; Spinks, G. Atomic force microscopy investigation of the adhesion between a single polymer sphere and a flat surface J. Adhes. Sci. Technol. 1998, 12 (5) 461-478
39. Cleaver, J.; Looi, L. AFM study of adhesion between polystyrene particles; The influence of relative humidity and applied load Powder Technol. 2007, 174 (1) 34-37
40. Heim, L. O.; Ecke, S.; Preuss, M.; Butt, H.-J. Adhesion forces between individual gold and polystyrene particles J. Adhes. Sci. Technol. 2002, 16 (7) 829-843
41. Krupp, H. Particle Adhesion, Theory and Experiment. In Advances in Colloid Interface Science 1,2; Elsevier: Amsterdam, 1967; 111-239.
42. Maugis, D.; Pollock, H. Surface forces, deformation and adherence at metal microcontacts Acta Metall. 1984, 32 (9) 1323-1334
43. Quon, R.; Knarr, R.; Vanderlick, T. Measurement of the deformation and adhesion of rough solids in contact J. Phys. Chem. B 1999, 103 (25) 5320-5327
44. Segeren, L.; Siebum, B.; Karssenberg, F.; Van Den Berg, J.; Vancso, G. Microparticle adhesion studies by atomic force microscopy J. Adhes. Sci. Technol. 2002, 16 (7) 793-828
45. Paajanen, M.; Katainen, J.; Pakarinen, O. H.; Foster, A. S.; Lahtinen, J. Experimental humidity dependency of small particle adhesion on silica and titania J. Colloid Interface Sci. 2006, 304 (2) 518-523
46. Van Zwol, P.; Palasantzas, G.; De Hosson, J. T. M. Influence of roughness on capillary forces between hydrophilic surfaces Phys. Rev. E 2008, 78 (3) 031606
47. Ata, A.; Rabinovich, Y. I.; Singh, R. K. Role of surface roughness in capillary adhesion J. Adhes. Sci. Technol. 2002, 16 (4) 337-346
48. Matope, S.; Rabinovich, Y.; Van der Merwe, A. Van der Waals interactions between silica spheres and metallic thin films created by e-beam evaporation Colloids Surf., A 2012, 411, 87-93
49. Jacobs, T. D.; Ryan, K. E.; Keating, P. L.; Grierson, D. S.; Lefever, J. A.; Turner, K. T.; Harrison, J. A.; Carpick, R. W. The effect of atomic-scale roughness on the adhesion of nanoscale asperities: A combined simulation and experimental investigation Tribol. Lett. 2013, 1-13
50. Leite, F.; Riul, A.; Herrmann, P. Mapping of adhesion forces on soil minerals in air and water by atomic force spectroscopy (AFS) J. Adhes. Sci. Technol. 2003, 17 (16) 2141-2156
51. Tormoen, G. W.; Drelich, J.; Beach, E. R. Analysis of atomic force microscope pull-off forces for gold surfaces portraying nanoscale roughness and specific chemical functionality J. Adhes. Sci. Technol. 2004, 18 (1) 1-17
52. Fukunishi, A.; Mori, Y. Adhesion force between particles and substrate in a humid atmosphere studied by atomic force microscopy Adv. Powder Technol. 2006, 17 (5) 567-580
53. Sedin, D. L.; Rowlen, K. L. Adhesion forces measured by atomic force microscopy in humid air Anal. Chem. 2000, 72 (10) 2183-2189
54. Schaefer, D.; Carpenter, M.; Gady, B.; Reifenberger, R.; Demejo, L.; Rimai, D. Surface roughness and its influence on particle adhesion using atomic force techniques J. Adhes. Sci. Technol. 1995, 9 (8) 1049-1062
55. Coelho, M.; Harnby, N. Moisture bonding in powders Powder Technol. 1978, 20 (2) 201-205
56. Houssa, M.; Nigam, T.; Mertens, P.; Heyns, M. Effect of extreme surface roughness on the electrical characteristics of ultra-thin gate oxides Solid-State Electron. 1999, 43 (1) 159-167
57. Cheng, W.; Dunn, P.; Brach, R. Surface roughness effects onmicroparticle adhesion J. Adhes. 2002, 78 (11) 929-965
58. Jones, R.; Pollock, H. M.; Cleaver, J. A. S.; Hodges, C. S. Adhesion forces between glass and silicon surfaces in air studied by AFM: Effects of relative humidity, particle size, roughness, and surface treatment Langmuir 2002, 18 (21) 8045-8055
59. Coelho, M.; Harnby, N. The effect of humidity on the form of water retention in a powder Powder Technol. 1978, 20 (2) 197-200
60. Kim, T.-G.; Yoo, Y.-S.; Lee, S.-H.; Park, J.-G. Effects of size, humidity, and aging on particle removal from Si wafers Microelectron. Eng. 2009, 86 (2) 145-149
61. Hsiao, E.; Marino, M. J.; Kim, S. H. Effects of gas adsorption isotherm and liquid contact angle on capillary force for sphere-on-flat and cone-on-flat geometries J. Colloid Interface Sci. 2010, 352 (2) 549-557
62. De Souza, E.; Brinkmann, M.; Mohrdieck, C.; Crosby, A.; Arzt, E. Capillary forces between chemically different substrates Langmuir 2008, 24 (18) 10161-10168
63. Durst, P. J.; Mason, G. L.; McKinley, B.; Baylot, A. Predicting RMS surface roughness using fractal dimension and PSD parameters Journal of Terramechanics 2011, 48 (2) 105-111
64. Tanaka, M.; Komagata, M.; Tsukada, M.; Kamiya, H. Fractal analysis of the influence of surface roughness of toner particles on their flow properties and adhesion behavior Powder Technol. 2008, 186 (1) 1-8
65. Ergincan, O.; Palasantzas, G.; Kooi, B. Influence of random roughness on cantilever curvature sensitivity Appl. Phys. Lett. 2010, 96 (4) 041912-041912-3
66. Ferreira, S.; Ribeiro, I.; Suela, J.; Menezes-Sobrinho, I.; Ferreira, S.; Alves, S. Effect of temperature on the Hurst and growth exponents of CdTe polycrystalline films Appl. Phys. Lett. 2006, 88 (24) 244102-244102-3
67. Ponson, L.; Bonamy, D.; Bouchaud, E. Two-dimensional scaling properties of experimental fracture surfaces Phys. Rev. Lett. 2006, 96 (3) 35506
68. Zaiser, M.; Grasset, F. M.; Koutsos, V.; Aifantis, E. C. Self-affine surface morphology of plastically deformed metals Phys. Rev. Lett. 2004, 93 (19) 195507