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Friction Measurements with Picoliter Droplets Using Scanning Probe Microscopy

Diego Cortés, Michael Kappl, and Hans-Jürgen Butt*

Pranav Sudersan

Tomas P. Corrales

  • *Contact author: butt@mpip-mainz.mpg.de

Phys. Rev. Lett. 135, 048203 – Published 23 July, 2025

DOI: https://doi.org/10.1103/s6ln-s593

Abstract

Topographical and chemical defects on solid surfaces tend to pin three-phase contact lines of moving liquid drops. Our quantitative understanding of the pinning process is, however, still poor. Here we use an atomic force microscope to slide ≈100  pL droplets of water-glycerol mixtures over hydrophobic surfaces and measure friction forces. By using picoliter droplets, the sensitivity for detecting processes at the contact line is enhanced. We have found that only a region <200  nm around the contact line contributes to friction. By imaging isolated nanospherical defects, we could quantify the force and energy dissipation when the front and rear of the droplet passes the defect and compare it to theory.

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28 October, 2025

Correction: The contact author information was missing and has now been inserted.

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References (46)

  1. J. H. Snoeijer and B. Andreotti, Annu. Rev. Fluid Mech. 45, 269 (2013).
  2. D. Bonn, J. Eggers, J. Indekeu, J. Meunier, and E. Rolley, Rev. Mod. Phys. 81, 739 (2009).
  3. N. Le Grand, A. Daerr, and L. Limat, J. Fluid Mech. 541, 293 (2005).
  4. P. Olin, S. B. Lindstrom, T. Pettersson, and L. Wagberg, Langmuir 29, 9079 (2013).
  5. B. S. Yilbas, A. Al-Sharafi, H. Ali, and N. Al-Aqeeli, RSC Adv. 7, 48806 (2017).
  6. X. Li, F. Bodziony, M. Yin, H. Marschall, R. Berger, and H.-J. Butt, Nat. Commun. 14, 4571 (2023).
  7. D. ’t Mannetje, A. Banpurkar, H. Koppelman, M. H. Duits, D. van den Ende, and F. Mugele, Langmuir 29, 9944 (2013).
  8. C. Hinduja, A. Laroche, S. Shumaly, Y. Wang, D. Vollmer, H. J. Butt, and R. Berger, Langmuir 38, 14635 (2022).
  9. D. Daniel, J. V. I. Timonen, R. Li, S. J. Velling, M. J. Kreder, A. Tetreault, and J. Aizenberg, Phys. Rev. Lett. 120, 244503 (2018).
  10. M. Backholm, D. Molpeceres, M. Vuckovac, H. Nurmi, M. J. Hokkanen, V. Jokinen, J. V. Timonen, and R. H. Ras, Commun. Mater. 1, 64 (2020).
  11. A. Saal, B. B. Straub, H.-J. Butt, and R. Berger, Europhys. Lett. 139, 47001 (2022).
  12. R. Goodwin, D. Rice, and S. Middleman, J. Colloid Interface Sci. 125, 162 (1988).
  13. C. Extrand and A. Gent, J. Colloid Interface Sci. 138, 431 (1990).
  14. R. Tadmor, P. Bahadur, A. Leh, H. E. N’guessan, R. Jaini, and L. Dang, Phys. Rev. Lett. 103, 266101 (2009).
  15. S. P. Evgenidis, K. Kalić, M. Kostoglou, and T. D. Karapantsios, Colloids Surfaces A 521, 38 (2017).
  16. D. Guan, E. Charlaix, and P. Tong, Phys. Rev. Lett. 124, 188003 (2020).
  17. A. H. Barber, S. R. Cohen, and H. D. Wagner, Phys. Rev. Lett. 92, 186103 (2004).
  18. S. Franiatte, G. Paredes, T. Ondarçuhu, and P. Tordjeman, Soft Matter 20, 3798 (2024).
  19. R. R. Dagastine, R. Manica, S. L. Carnie, D. Y. C. Chan, G. W. Stevens, and F. Grieser, Science 313, 210 (2006).
  20. W. S. Y. Wong, T. P. Corrales, A. Naga, P. Baumli, A. Kaltbeitzel, M. Kappl, P. Papadopoulos, D. Vollmer, and H.-J. Butt, ACS Nano 14, 3836 (2020).
  21. R. S. Hansen and M. Miotto, J. Am. Chem. Soc. 79, 1765 (1957).
  22. H. J. Butt, R. Berger, W. Steffen, D. Vollmer, and S. A. Weber, Langmuir 34, 11292 (2018).
  23. N. V. Churaev, V. Starov, and B. Derjaguin, J. Colloid Interface Sci. 89, 16 (1982).
  24. P.-G. De Gennes, Rev. Mod. Phys. 57, 827 (1985).
  25. N. Tretyakov, M. Müller, D. Todorova, and U. Thiele, J. Chem. Phys. 138, 064905 (2013).
  26. J.-C. Fernandez-Toledano, T. Blake, P. Lambert, and J. De Coninck, Adv. Colloid Interface Sci. 245, 102 (2017).
  27. H. Jiang, F. Müller-Plathe, and A. Z. Panagiotopoulos, J. Chem. Phys. 147, 084708 (2017).
  28. J. Joanny and P.-G. De Gennes, J. Chem. Phys. 81, 552 (1984).
  29. G. D. Nadkarni and S. Garoff, Europhys. Lett. 20, 523 (1992).
  30. J. A. Marsh and A. M. Cazabat, Phys. Rev. Lett. 71, 2433 (1993).
  31. K. M. Jansons, J. Fluid Mech. 154, 1 (1985).
  32. M. Ramiasa, J. Ralston, R. Fetzer, R. Sedev, D. M. Fopp-Spori, C. Morhard, C. Pacholski, and J. P. Spatz, J. Am. Chem. Soc. 135, 7159 (2013).
  33. H. Perrin, R. Lhermerout, K. Davitt, E. Rolley, and B. Andreotti, Phys. Rev. Lett. 116, 184502 (2016).
  34. T. D. Blake, J. Colloid Interface Sci. 299, 1 (2006).
  35. See Supplemental Material at http://link.aps.org/supplemental/10.1103/s6ln-s593 for sample preparation and experiment details; the force calibration; drop volume calculation; contact angle on picoliter drops; azimuthal angle dependence calculation for force, work, and energy; simulation details and results; normal components of the force, which includes Ref. [36].
  36. K. A. Brakke, Exp. Math. 1, 141 (1992).
  37. N. Gao, F. Geyer, D. W. Pilat, S. Wooh, D. Vollmer, H.-J. Butt, and R. Berger, Nat. Phys. 14, 191 (2018).
  38. K. Kawasaki, J. Colloid Sci. 15, 402 (1960).
  39. C. Furmidge, J. Colloid Sci. 17, 309 (1962).
  40. A. ElSherbini and A. Jacobi, J. Colloid Interface Sci. 299, 841 (2006).
  41. J. Cleveland, S. Manne, D. Bocek, and P. Hansma, Rev. Sci. Instrum. 64, 403 (1993).
  42. D. S. Golovko, H.-J. Butt, and E. Bonaccurso, Langmuir 25, 75 (2009).
  43. M. O. Robbins and J.-F. Joanny, Europhys. Lett. 3, 729 (1987).
  44. A. Scheludko and D. Nikolov, Colloid Polymer Sci. 253, 396 (1975).
  45. K. Yatsuzuka, Y. Mizuno, and K. Asano, J. Electrost. 32, 157 (1994).
  46. X. Li, A. D. Ratschow, S. Hardt, and H.-J. Butt, Phys. Rev. Lett. 131, 228201 (2023).

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