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Double-layer force suppression between charged microspheres
Phys. Rev. E 97, 022611 – Published 14 February, 2018
DOI: https://doi.org/10.1103/PhysRevE.97.022611
Abstract
In this paper we propose a protocol to suppress double-layer forces between two microspheres immersed in a dielectric medium, being one microsphere metallic at a controlled potential and the other a charged one either metallic or dielectric. The approach is valid for a wide range of distances between them. We show that, for a given distance between the two microspheres, the double-layer force can be totally suppressed by simply tuning up to values dictated by the linearized Poisson-Boltzmann equation. Our key finding is that such values can be substantially different from the ones predicted by the commonly used proximity force approximation, also known as the Derjaguin approximation, even in situations where the latter is expected to be accurate. The proposed procedure can be used to suppress the double-layer interaction in force spectroscopy experiments, thus paving the way for measurements of other surface interactions, such as Casimir dispersion forces.
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References (61)
- H. J. Butt and M. Kappl, Surface and Interfacial Forces (Wiley-VCH, Weinheim, 2010).
- J. N. Israelachvili, Intermolecular and Surface Forces (Academic Press, Waltham, 2011).
- E. J. W. Verwey and J. T. G. Overbeek, Theory of the Stability of Lyophobic Colloids (Elsevier, New York, 1948).
- B. Derjaguin and L. Landau, Prog. Surf. Sci. 43, 30 (1993).
- B. Derjaguin and L. D. Landau, Acta Physicochim. URSS 14, 633 (1941).
- D. L. Chapman, Philos. Mag. 25, 475 (1913).
- L. G. Gouy, J. Phys. Theor. Appl. 9, 457 (1910).
- P. Debye and E. Hückel, Phys. Z. 24, 185 (1923).
- H. J. B. Butt, B. Cappella, and M. Kappl, Surf. Sci. Rep. 59, 1 (2005).
- J. N. Munday and F. Capasso, Phys. Rev. A 75, 060102(R) (2007).
- J. N. Munday, F. Capasso, V. A. Parsegian, and S. M. Bezrukov, Phys. Rev. A 78, 032109(R) (2008).
- P. J. van Zwol, G. Palasantzas, and J. T. M. DeHosson, Phys. Rev. E 79, 041605 (2009).
- I. Popa, P. Sinha, M. Finessi, P. Maroni, G. Papastavrou, and M. Borkovec, Phys. Rev. Lett. 104, 228301 (2010).
- M. Borkovec, I. Szilagyi, I. Popa, M. Finessi, P. Sinha, P. Maroni, and G. Papastavrou, Adv. Colloid Interface Sci. 179, 85 (2012).
- F. J. M. Ruiz-Cabello, G. Trefalt, P. Maroni, and M. Borkovec, Langmuir 30, 4551 (2014).
- M. Elzbieciak-Wodka, M. N. Popescu, F. J. M. Ruiz-Cabello, G. Trefalt, P. Maroni, and M. Borkovec, J. Chem. Phys. 140, 104906 (2014).
- J. C. Crocker and D. G. Grier, Phys. Rev. Lett. 73, 352 (1994).
- P. M. Hansen, J. K. Dreyer, J. Ferkinghoff-Borg, and L. Oddershede, J. Colloid Interface Sci. 287, 561 (2005).
- S. K. Sainis, V. Germain, and E. R. Dufresne, Phys. Rev. Lett. 99, 018303 (2007).
- S. K. Sainis, V. Germain, C. O. Mejean, and E. R. Dufresne, Langmuir 24, 1160 (2008).
- E. Schäffer, S. F. Nørrelykke, and J. Howard, Langmuir 23, 3654 (2007).
- D. S. Ether, L. B. Pires, S. Umrath, D. Martinez, Y. Ayala, B. Pontes, G. R. de S. Araújo, S. Frases, G.-L. Ingold, F. S. S. Rosa et al., EPL 112, 44001 (2015).
- S. G. Flicker and S. G. Bike, Langmuir 9, 257 (1993).
- L. Liu, A. Woolf, A. W. Rodriguez, and F. Capasso, Proc. Natl. Acad. Sci. U.S.A. 111, E5609 (2014).
- L. Liu, S. Kheifets, V. Ginis, and F. Capasso, Phys. Rev. Lett. 116, 228001 (2016).
- J. N. Munday, F. Capasso, and V. A. Parsegian, Nature (London) 457, 170 (2009).
- A. C. Hillier, S. Kim, and A. J. Bard, J. Phys. Chem. 100, 18808 (1996).
- D. Barten, J. M. Kleijn, J. Duval, H. P. v. Leeuwen, J. Lyklema, and M. A. C. Stuart, Langmuir 19, 1133 (2003).
- V. Kuznetsov and G. Papastavrou, J. Phys. Chem. C 118, 2673 (2014).
- A. P. dos Santos and Y. Levin, Phys. Rev. Lett. 106, 167801 (2011).
- T. Oncsik, G. Trefalt, M. Borkovec, and I. Szilagyi, Langmuir 31, 3799 (2015).
- Y. Levin, Physica A (Amsterdam) 265, 432 (1999).
- A. P. dos Santos, A. Bakhshanded, and Y. Levin, J. Chem. Phys. 135, 044124 (2011).
- A. Naji, M. Kanduč, J. Forsman, and R. Podgornik, J. Chem. Phys. 139, 150901 (2013).
- A. A. Lee, C. S. Perez-Martinez, A. M. Smith, and S. Perkin, Phys. Rev. Lett. 119, 026002 (2017).
- A. Bakhshandeh, A. P. dos Santos, and Y. Levin, Phys. Rev. Lett. 107, 107801 (2011).
- G. Trefalt, S. H. Behrens, and M. Borkovec, Langmuir 32, 380 (2016).
- S. L. Carnie and D. Y. C. Chan, J. Colloid Interface Sci. 155, 297 (1993).
- A. B. Glendinning and W. B. Russel, J. Colloid Interface Sci. 93, 95 (1983).
- S. L. Carnie and D. Y. C. Chan, J. Colloid Interface Sci. 161, 260 (1993).
- S. L. Carnie, D. Y. C. Chan, and J. S. Gunning, Langmuir 10, 2993 (1994).
- M. E. Fisher, Y. Levin, and X. Li, J. Chem. Phys. 101, 2273 (1994).
- I. N. Derbenev, A. V. Filippov, A. J. Stace, and E. Besley, J. Chem. Phys. 145, 084103 (2016).
- J. D. Jackson, Classical Electrodynamics - Third Edition (John Wiley and Sons, New York, 1999).
- J. W. Krozel and D. A. Saville, J. Colloid Interface Sci. 150, 365 (1992).
- S. H. Behrens and M. Borkovec, J. Chem. Phys. 111, 382 (1999).
- S. H. Behrens and M. Borkovec, J. Phys. Chem. B 103, 2918 (1999).
- R. Pericet-Camara, G. Papastavrou, S. H. Behrens, and M. Borkovec, J. Phys. Chem. B 108, 19467 (2004).
- F. J. M. Ruiz-Cabello, G. Trefalt, Z. Csendes, P. Sinha, T. Oncsik, I. Szilagyi, P. Maroni, and M. Borkovec, J. Phys. Chem. B 117, 11853 (2013).
- G. Trefalt, I. Szilagyi, and M. Borkovec, J. Colloid Interface Sci. 406, 111 (2013).
- G. M. Bell, S. Levine, and L. N. McCartney, J. Colloid Interface Sci. 33, 335 (1970).
- B. Derjaguin, Kolloid Z. 69, 155 (1934).
- J. Blocki, J. Randrup, W. J. Swiatecki, and C. F. Tsang, Ann. Phys. (N.Y.) 105, 427 (1977).
- G. S. Roberts, T. A. Wood, W. J. Frith, and P. Bartlett, J. Chem. Phys. 126, 194503 (2007).
- D. Y. C. Chan, Langmuir 31, 9889 (2015).
- W. D. Hall and K. V. Beard, Pure Appl. Geophys. 113, 515 (1975).
- K. Larson-Smith, A. Jackson, and D. C. Pozzo, Langmuir 28, 2493 (2012).
- G. S. Roberts, R. Sanchez, R. Kemp, T. Wood, and P. Bartlett, Langmuir 24, 6530 (2008).
- D. Langbein, Theory of Van der Waals Attraction (Springer-Verlag, Berlin, 1974).
- M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover Publications, New York, 1965).
- W. B. Russel, D. A. Saville, and W. R. Schowalter, Colloidal Dispersions (Cambridge Monographs on Mechanics) (Cambridge University Press, New York, 1989).