Skip to main content
Log in

Spreading Kinetics of Lubricant Droplets on Magnetic Recording Disks

  • Original Paper
  • Published:
Tribology Letters Aims and scope Submit manuscript

Abstract

The spreading of droplets of perfluoropolyether lubricants is studied on unlubricated, carbon-overcoated disk surfaces, the type used in magnetic recording disk drives. As the number of hydroxyl end groups on the Fomblin-Z backbone is increased from zero to two to four (Z → Zdol → Ztetraol), the spreading kinetics slows down dramatically for each addition of two hydroxyl end groups, and with eight hydroxyl groups, the lubricant ZTMD no longer spreads. Faster spreading kinetics is observed initially when a central droplet is still available to feed lubricants into the molecularly thin lubricant film. Much slower spreading kinetics is observed once this central droplet has dissipated to form a pancake-shaped film less than a monolayer thickness. During the initial spreading stage with the central droplet, the radius R of the area covered by the spreading film grows as R ~ t ν, with ν ~ 1/3, while during the final spreading stage, ν ~ 0.1. The faster spreading mechanism during the initial spreading stage is attributed to the en masse flow of lubricant molecules in the lubricant film driven by the backing pressure of the lubricant remaining in the droplet. The slower spreading kinetics once the central droplet has dissipated is well described by a thickness-dependent diffusion coefficient D(h) obtained by modeling lubricant migration as Poiseuille flow driven by the disjoining pressure gradient.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9

Similar content being viewed by others

References

  1. de Gennes, P.G.: Wetting—statics and dynamics. Rev. Mod. Phys. 57(3), 827–863 (1985)

    Article  Google Scholar 

  2. Heslot, F., Fraysse, N., Cazabat, A.M.: Molecular layering in the spreading of wetting liquid-drops. Nature 338(6217), 640–642 (1989)

    Article  CAS  Google Scholar 

  3. Popescu, M.N., Oshanin, G., Dietrich, S., Cazabat, A.M.: Precursor films in wetting phenomena. J. Phys. Condens. Mat. 24(24), 243102 (2012)

    Google Scholar 

  4. Bonn, D., Eggers, J., Indekeu, J., Meunier, J., Rolley, E.: Wetting and spreading. Rev. Mod. Phys. 81(2), 739–805 (2009)

    Article  CAS  Google Scholar 

  5. Samsonov, V.M.: On computer simulation of droplet spreading. Curr. Opin. Colloid Interface Sci. 16(4), 303–309 (2011)

    Article  CAS  Google Scholar 

  6. Mate, C.M., Dai, Q., Payne, R.N., Knigge, B.E., Baumgart, P.: Will the numbers add up for sub-7-nm magnetic spacings? Future metrology issues for disk drive lubricants, overcoats, and topographies. IEEE Trans. Magn. 41(2), 626–631 (2005)

    Article  Google Scholar 

  7. Marchon, B.: Lubricant design attributes for subnanometer head-disk clearance. IEEE Trans. Magn. 45(2), 872–876 (2009)

    Article  CAS  Google Scholar 

  8. Dai, Q., Nayak, U., Margulies, D., Marchon, B., Waltman, R., Takano, K., Wang, J.: Tribological issues in perpendicular recording media. Tribol. Lett. 26(1), 1–9 (2007)

    Article  Google Scholar 

  9. Maboudian, R., Carraro, C.: Surface chemistry and tribology of MEMS. Annu. Rev. Phys. Chem. 55, 35–54 (2004)

    Article  CAS  Google Scholar 

  10. McClelland, G.M., Rettner, C.T., Hart, M.W., Carter, K.R., Sanchez, M.I., Best, M.E., Terris, B.D.: Contact mechanics of a flexible imprinter for photocured nanoimprint lithography. Tribol. Lett. 19(1), 59–63 (2005)

    Article  Google Scholar 

  11. Mate, C.M.: Anomalous diffusion kinetics of the precursor film that spreads from polymer droplets. Langmuir 28(49), 16821–16827 (2012)

    Article  CAS  Google Scholar 

  12. Heslot, F., Cazabat, A.M., Levinson, P.: Dynamics of wetting of tiny drops—ellipsometric study of the late stages of spreading. Phys. Rev. Lett. 62(11), 1286–1289 (1989)

    Article  CAS  Google Scholar 

  13. Heslot, F., Cazabat, A.M., Fraysse, N.: Diffusion-controlled wetting films. J. Phys. Condens Mat. 1(33), 5793–5798 (1989)

    Article  Google Scholar 

  14. Mate, C.M.: Tribology on the small scale: a bottom up approach to friction, lubrication, and wear. Oxford University Press, Oxford (2008)

    Google Scholar 

  15. Forcada, M.L., Mate, C.M.: The flow of thin viscous-liquid films on rotating-disks. J. Colloid Interface Sci. 160(1), 218–225 (1993)

    Article  CAS  Google Scholar 

  16. Pit, R., Zeng, Q.H., Dai, Q., Marchon, B.: Experimental study of lubricant-slider interactions. IEEE Trans. Magn. 39(2), 740–742 (2003)

    Article  Google Scholar 

  17. Mate, C.M., Marchon, B., Murthy, A.N., Kim, S.-H.: Lubricant-induced spacing increases at slider–disk interfaces in disk drives. Tribol. Lett. 37(3), 581–590 (2010)

    Article  Google Scholar 

  18. Dai, Q., Saint-Olive, C., Pit, R., Marchon, B.: Genesis and evolution of lubricant moguls. IEEE Trans. Magn. 38(5), 2111–2113 (2002)

    Article  Google Scholar 

  19. Dai, Q., Hendriks, F., Marchon, B.: Modeling the washboard effect at the head/disk interface. J. Appl. Phys. 96(1), 696–703 (2004)

    Article  CAS  Google Scholar 

  20. Marchon, B., Olson, T.: Magnetic spacing trends: from LMR to PMR and beyond. IEEE Trans. Magn. 45, 3608–3611 (2009)

    Article  Google Scholar 

  21. Mate, C.M., Toney, M.F., Leach, K.A.: Roughness of thin perfluoropolyether lubricant films: influence on disk drive technology. IEEE Trans. Magn. 37(4), 1821–1823 (2001)

    Article  CAS  Google Scholar 

  22. Lin, L.-J.J., Saperstein, D.D.: Process for bonding lubricants to thin film recording media. U.S. Patent No. 5030478, Jul. 9, 1991

  23. Marchon, B., Guo, X.C., Canchi, S., Wang, R.H., Supper, N., Burns, J., Deoras, S., Zhang, J., Yang, A., Bach, N., Saito, Y.: Air entrapment in nanometer-thick lubricant films and its effect on slider flying height in a hard disk drive. Tribol. Lett. 47, 349–355 (2012)

    Article  CAS  Google Scholar 

  24. Guo, X.C., Knigge, B., Marchon, B., Waltman, R.J., Carter, M., Burns, J.: Multidentate functionalized lubricant for ultralow head/disk spacing in a disk drive. J. Appl. Phys. 100(4), 044306 (2006)

    Article  Google Scholar 

  25. Marchon, B., Guo, X.C., Karis, T., Deng, H., Dai, Q., Burns, J., Waltman, R.: Fomblin multidentate lubricants for ultra-low magnetic spacing. IEEE Trans. Magn. 42(10), 2504–2506 (2006)

    Article  Google Scholar 

  26. Guo, X.C., Marchon, B., Wang, R.H., Mate, C.M., Dai, Q., Waltman, R.J., Deng, H., Pocker, D., Xiao, Q.F., Saito, Y., Ohtani, T.: A multidentate lubricant for use in hard disk drives at sub-nanometer thickness. J. Appl. Phys. 111, 0240503 (2012)

    Google Scholar 

  27. Toney, M.F., Mate, C.M., Leach, K.A., Pocker, D.: Thickness measurements of thin perfluoropolyether polymer films on silicon and amorphous-hydrogenated carbon with X-ray reflectivity, ESCA and optical ellipsometry. J. Colloid Interface Sci. 225(1), 219–226 (2000)

    Article  CAS  Google Scholar 

  28. Mate, C.M., Yen, B.K., Miller, D.C., Toney, M.F., Scarpulla, M., Frommer, J.E.: New methodologies for measuring film thickness, coverage, and topography. IEEE Trans. Magn. 36(1), 110–114 (2000)

    Article  CAS  Google Scholar 

  29. Toney, M.F., Mate, C.M., Pocker, D.: Calibrating ESCA and ellipsometry measurements of perfluoropolyether lubricant thickness. IEEE Trans. Magn. 34(4), 1774–1776 (1998)

    Article  CAS  Google Scholar 

  30. Hare, E.F., Zisman, W.A.: Autophobic liquids and the properties of their adsorbed films. J Phys Chem 59(4), 335–340 (1955)

    Article  CAS  Google Scholar 

  31. Min, B.G., Choi, J.W., Brown, H.R., Yoon, D.Y.: Spreading characteristics of thin liquid films of perfluoropolyalkylethers on solid surfaces. Effects of chain-end functionality and humidity. Tribol. Lett. 1, 225–232 (1995)

    Article  CAS  Google Scholar 

  32. Marchon, B., Karis, T.: Poiseuille flow at a nanometer scale. Europhys. Lett. 74(2), 294–298 (2006)

    Article  CAS  Google Scholar 

  33. Mate, C.M.: Application of disjoining and capillary-pressure to liquid lubricant films in magnetic recording. J. Appl. Phys. 72(7), 3084–3090 (1992)

    Article  CAS  Google Scholar 

  34. Mate, C.M., Novotny, V.J.: Molecular-conformation and disjoining pressure of polymeric liquid-films. J. Chem. Phys. 94(12), 8420–8427 (1991)

    Article  CAS  Google Scholar 

  35. Israelachvili, J.N.: Intermolecular and surface forces, 3rd edn. Academic Press, Burlington (2011)

    Google Scholar 

  36. Mate, C.M.: Taking a fresh look at disjoining pressure of lubricants at slider-disk interfaces. IEEE Trans. Magn. 47(1) (2011)

  37. Fukuzawa, K., Kawamura, J., Deguchi, T., Zhang, H., Mitsuya, Y.: Measurement of disjoining pressure of a molecularly thin lubricant film by using a microfabricated groove. IEEE Trans. Magn. 40(4), 3183–3185 (2004)

    Article  CAS  Google Scholar 

  38. Bowles, A.P., Hsia, Y.T., Jones, P.M., Schneider, J.W., White, L.R.: Quasi-equilibrium AFM measurement of disjoining pressure in lubricant nano-films I: Fomblin Z03 on silica. Langmuir 22(26), 11436–11446 (2006)

    Article  CAS  Google Scholar 

  39. Ala-Nissila, T., Herminghaus, S., Hjelt, T., Leiderer, P.: Diffusive spreading of chainlike molecules on surfaces. Phys. Rev. Lett. 76(21), 4003–4006 (1996)

    Article  CAS  Google Scholar 

  40. Novotny, V.J.: Migration of liquid polymers on solid-surfaces. J Chem Phys 92(5), 3189–3196 (1990)

    Article  CAS  Google Scholar 

  41. Ma, X., Gui, J., Smoliar, L., Grannen, K., Marchon, B., Jhon, M.S., Bauer, C.L.: Spreading of perfluoropolyalkylether films on amorphous carbon surfaces. J Chem Phys 110(6), 3129–3137 (1999)

    Article  CAS  Google Scholar 

  42. Ma, X., Gui, J., Smoliar, L., Grannen, K., Marchon, B., Bauer, C.L., Jhon, M.S.: Complex terraced spreading of perfluoropolyalkylether films on carbon surfaces. Phys. Rev. E 59(1), 722–727 (1999)

    Article  CAS  Google Scholar 

  43. Ma, X., Gui, J., Marchon, B., Jhon, M.S., Bauer, C.L., Rauch, G.C.: Lubricant replenishment on carbon coated discs. IEEE Trans. Magn. 35(5), 2454–2456 (1999)

    Article  CAS  Google Scholar 

  44. Ma, X.D., Gui, J., Grannen, K.J., Smoliar, L.A., Marchon, B., Jhon, M.S., Bauer, C.L.: Spreading of PFPE lubricants on carbon surfaces: effect of hydrogen and nitrogen content. Tribol. Lett. 6(1), 9–14 (1999)

    Article  CAS  Google Scholar 

  45. Mitsuya, Y., Zhang, H., Ohgi, J., Fukuzawa, K.: Experimental comparisons of spreading and replenishment flows of molecularly thin lubricant films coated on magnetic disks. IEEE Trans. Magn. 44(11), 3641–3644 (2008)

    Article  CAS  Google Scholar 

  46. Scarpulla, M.A., Mate, C.M., Carter, M.D.: Air shear driven flow of thin perfluoropolyether polymer films. J. Chem. Phys. 118(7), 3368–3375 (2003)

    Article  CAS  Google Scholar 

  47. Mate, C.M., Marchon, B.: Shear response of molecularly thin liquid films to an applied air stress. Phys. Rev. Lett. 85(18), 3902–3905 (2000)

    Article  CAS  Google Scholar 

  48. O’Connor, T.M., Back, Y.R., Jhon, M.S., Min, B.G., Karis, T.E.: Surface diffusion of thin perfluoropolyalkylether films. J. Appl. Phys. 79(8), 5788–5790 (1996)

    Article  Google Scholar 

  49. O’Connor, T.M., Jhon, M.S., Bauer, C.L., Min, B.G., Yoon, D.Y., Karis, T.: Surface diffusion and flow activation energies of perfluoropolyalkylether. Tribol. Lett. 1, 219–223 (1995)

    Google Scholar 

  50. Itoh, S., Takahashi, K., Fukuzawa, K., Amakawa, H., Zhang, H.D.: Spreading properties of monolayer lubricant films: effect of bonded molecules. IEEE Trans. Magn. 45(11), 5055–5060 (2009)

    Article  CAS  Google Scholar 

  51. Pit, R., Marchon, B.: Direct measurement of lubricant relaxation on a disk surface. IEEE Trans. Magn. 37(4), 1830–1832 (2001)

    Article  Google Scholar 

  52. Ma, X., Bauer, C.L., Jhon, M.S., Gui, J., Marchon, B.: Monte Carlo simulations of liquid spreading on a solid surface: effect of end-group functionality. Phys. Rev. E 60(5), 5795–5801 (1999)

    Article  CAS  Google Scholar 

  53. Deb Nath, S.K., Wong, C.H., Sorkin, V., Sha, Z.D., Zhang, Y.W., Kim, S.G.: Study of the spreading of perfluoropolyether lubricants on a diamond-like carbon film. Tribol. Trans. 56(2), 255–267 (2013)

    Article  CAS  Google Scholar 

  54. Shirakawa, D., Sonoda, K., Ohnishi, K.: A study on design and synthesis of new lubricant for near contact recording. IEEE Trans. Magn. 43(6), 2253–2255 (2007)

    Article  CAS  Google Scholar 

Download references

Acknowledgments

The author would like to thank X. C. Guo for supplying the ZTMD lubricant and B. Marchon for valuable discussions on this work.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to C. Mathew Mate.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mate, C.M. Spreading Kinetics of Lubricant Droplets on Magnetic Recording Disks. Tribol Lett 51, 385–395 (2013). https://doi.org/10.1007/s11249-013-0171-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11249-013-0171-5

Keywords

Navigation