Abstract
Although the surface tension of liquids has been understood and measured since the time of Young1 and Laplace2, the surface energy of solids has eluded understanding and evaded measurement, despite its postulated importance to catalysis, crystal growth, colloidal behaviour, sintering and fracture. It is salutary to reflect that solid surface energies are even now more readily determined by theoretical argument than by experiment. Here we show that solid surface energies can be evaluated experimentally by measuring the elastic modulus of submicrometre powder assemblies, knowing the particle diameter, elastic modulus and volume fraction.
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References
Young, T. Phil. Trans R. Soc. 95, 65–87 (1805).
Laplace, P. S. Mecanique Celeste Suppl Book 10 (translated by Bowditch, N.) 685–1018 (Chelsea Publishing, New York, 1966).
Chapman, J. C. & Porter, H. L. Proc. R. Soc. A83, 65–68 (1910).
Berggren, B. Ann. Phys. 44, 61–80 (1914).
Bikerman, J. J. Phys. Status Solidi 10, 3–25 (1965).
Alexander, G. B. J. phys. Chem. A171, 1563–1564 (1957).
Benson, G. C., Schreiber, H. P. & van Zeggeren, F. Can. J. Chem. 34, 1553–1556 (1956).
Sill, R. C. & Skapski, A. S. J. chem. Phys. 24, 644–651 (1956).
Griffith, A. A. Phil. Trans. R. Soc. A221, 163–198 (1920).
Obreimoff, J. W. Proc. R. Soc. A127, 290–297 (1930).
Gilman, J. J. J. appl. Phys. 31, 2208–2218 (1960).
Lawn, B. R. & Wilshaw, T. R. Fracture of Brittle Solids, Ch. 6 (Cambridge University Press, Cambridge, 1975).
Johnson, K. L., Kendall, K. & Roberts, A. D. Proc. R. Soc. A324, 301–313 (1971).
Hertz, H. J. Reine angew. Math. 92, 156–171 (1882).
Tabor, D. J. Colloid. Interface Sci. 58, 2–13 (1977); 67, 380 (1978); 73, 294 (1980).
Derjaguin, B. V., Muller, V. M. & Toporov, Y. P. J. colloid Interface Sci. 53, 314–326 (1975); 67, 378–379 (1978); 73, 293 (1980).
Muller, V. M., Derjaguin, B. V. & Toporov, Y. P. Colloids Surfaces 7, 251–259 (1983).
Pashley, M. D. Colloids Surfaces 12, 69–77 (1984).
Horn, R. G., Israelachvili, J. N. & Pribac, F. J. colloid Interface Sci. (in the press).
Maugis, D. & Barquins, M. in Adhesion and Adsorption of Polymers (ed. Lee, L.) 203–277 (Plenum, New York, 1980).
Fuller, K. N. G. & Tabor, D. Proc. R. Soc. A345, 327–342 (1975).
Johnson, K. L. Proc. IUTAM Symp. on The Mechanics of Contact between Deformable Bodies (eds de Pater & Kalker) 26–40 (Delft University Press, 1975).
Kendall, K., Alford, N. McN. & Birchall, J. D. Spec. Ceram. 8, 255–265 (Institute of Ceramics, Stoke-on-Trent, 1986).
Easterling, K. E. & Thölen, A. R. Acta met. 20, 1001–1008 (1972).
Kendall, K. & Padget, J. C. Int. J. Adhesion Adhesives July, 149–154 (1982).
Kendall, K., Alford, N. McN. & Birchall, J. D. Proc. R. Soc. (submitted).
Holliday, L. Composite Materials Ch. 2 (Elsevier, London, 1966).
Norman, L. D. & Maust, R. Bull. U.S. Bur. Mines 58, 35–48 (1971).
Bruce, R. H. Sci. Ceram. 2, 359–367 (1966).
Kendall, K. Nature 319, 203–205 (1986).
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Kendall, K., McN.Alford, N. & Birchall, J. A new method for measuring the surface energy of solids. Nature 325, 794–796 (1987). https://doi.org/10.1038/325794a0
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DOI: https://doi.org/10.1038/325794a0
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