Skip to main content
SpringerLink
Log in

The surface and the linear tension and the contact angle of a small drop under isothermal conditions

  • Physicochemical Processes at the Interfaces
  • Published:
Protection of Metals and Physical Chemistry of Surfaces Aims and scope Submit manuscript

Abstract

A small lying drop is investigated considering the linear tension at the three-phase boundary under thermodynamic and mechanical equilibrium. Formulas for the surface tension at the liquid-vapor interface, the linear tension, and the contact angle are found by the Gibbs dividing surface method. It is shown that the surface tension and the contact angle decrease while the absolute value of the linear tension increases with decreasing radius of the surface curvature. Comparison of theoretical predictions with experimental data obtained by atomic-force microscopy shows a satisfactory agreement and evidences that the linear tension must be negative.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Rekhviashvili, S.Sh. and Kishtikova, E.V., Zh. Tekh. Fiz., 2011, vol. 81, no. 1, p. 148.

    Google Scholar 

  2. Rekhviashvili, S.Sh., Kishtikova, E.V., and Sokurov, A.A., Vektor Nauki TGU, 2012, no. 4, p. 115.

    Google Scholar 

  3. Rekhviashvili, S.Sh. and Kishtikova, E.V., Prot. Met. Phys. Chem. Surf., 2012, vol. 48, no. 4, p. 402.

    Article  Google Scholar 

  4. Ono, S. and Kondo, S., Molecular Theory of Surface Tension in Liquids, Berlin: Springer, 1960.

    Google Scholar 

  5. Rusanov, A.I., Fazovye ravnovesiya i poverkhnostnye yavleniya (Phase Equilibrium and Surface Phenomena), Leningrad: Khimiya, 1967.

    Google Scholar 

  6. Rowlinson, J.S. and Widom, B., Molecular Theory of Capillarity, Mineola, N. Y.: Dover, 2002.

    Google Scholar 

  7. Babak, V.G., Usp. Khim., 1992, vol. 61, no. 10, p. 1777.

    Article  Google Scholar 

  8. Roldugin, V.I., Fizikokhimiya poverkhnosti (Physical Chemistry of the Surface), Dolgoprudnyi: Intellekt, 2008.

    Google Scholar 

  9. Tolman, R.C., J. Chem. Phys., 1949, vol. 17, no. 3, p. 333.

    Article  Google Scholar 

  10. Gladkikh, N.T., Grigor’eva, L.K., Dukarov, S.V, et al., Phys. Solid. State, 1989, vol. 31, no. 5, p. 13.

    Google Scholar 

  11. Checco, A., Schollmeyer, H., Daillant, J., et al., Langmuir, 2006, vol. 22, p. 116.

    Article  Google Scholar 

  12. Babichev, A.P., Babushkina, N.A., Bratkovskii, A.M., et al., Fizicheskie velichiny: Spravochnik, (Physical Quantities: Reference book), Grigor’ev, I.S. and Meilikhov, E.Z., Eds., Moscow: Energoatomizdat, 1991, p. 1232.

  13. Macdonald, B.F., Cole, R.J., and Koutsos, V., Surf. Sci., 2004, vol. 548, p. 41.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Research Institute of Applied Mathematics and Automation of the Kabardino-Balkar Scientific Center, Russian Academy of Sciences, Nalchik, 360000, Russia

    S. Sh. Rekhviashvili & E. V. Kishtikova

Authors
  1. S. Sh. Rekhviashvili
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. E. V. Kishtikova
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. Sh. Rekhviashvili.

Additional information

Original Russian Text © S.Sh. Rekhviashvili, E.V. Kishtikova, 2014, published in Fizikokhimiya Poverkhnosti i Zashchita Materialov, 2014, Vol. 50, No. 1, pp. 3–7.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rekhviashvili, S.S., Kishtikova, E.V. The surface and the linear tension and the contact angle of a small drop under isothermal conditions. Prot Met Phys Chem Surf 50, 1–4 (2014). https://doi.org/10.1134/S2070205114010110

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S2070205114010110

Keywords

Search

Navigation