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Some Aspects of Classical Surface Thermodynamics

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Surface Phenomena

Part of the book series: Fundamental Phenomena in the Materials Sciences ((FPMS))

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Abstract

The special contribution of matter lying in and around phase boundaries to the total energy of heterogeneous systems is normally ignored in thermodynamic treatises. This neglect implies that the density of energy of a given phase remains uniform up to a mathematical surface separating it from contiguous phases. However, because of the finite, although short, range of action of atomic forces, the assumed sharp phase boundaries should actually be replaced by an interphasal region of finite thickness across which the density of energy or of any other thermodynamic property changes much less abruptly. It is reasonable to expect the normal thickness of this transition region to be of the order of a few molecular diameters ; unless the system has a relatively high surface to volume ratio, as would be the case in colloidal systems, the additional contribution of the “surface” atoms to the total energy content may justifiably be ignored.

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References

  1. J. D. van der Waals, Verhandel. Koninkl. Ned. Akad. Wetenschap. Afdel. Natuurk. Sect. I (1893).

    Google Scholar 

  2. G. Bakker, in: Handbuch der Experimentalphysik, Vol. 6, W. Wien and F. Harms (eds.), Akademische Verlagsgesellschaft (Leipzig), 1928, Chapter 15.

    Google Scholar 

  3. J. W. Cahn and J. E. Hilliard, J. Chem. Phys. 28: 258 (1958).

    Article  CAS  Google Scholar 

  4. J. W. Cahn and J. E. Hilliard, J. Chem. Phys. 31: 688 (1959).

    Article  CAS  Google Scholar 

  5. E. W. Hart, Phys. Rev. 113: 412 (1959)

    Article  CAS  Google Scholar 

  6. E. W. Hart J. Chem. Phys. 39: 3075 (1963)

    Article  CAS  Google Scholar 

  7. J. W. Gibbs, Collected Works, Vol. I, Yale University Press (New Haven, Connecticut), 1948, pp. 219–331.

    Google Scholar 

  8. J. W. Gibbs, Collected Works, Vol. I, Yale University Press (New Haven, Connecticut), 1948, p. 219.

    Google Scholar 

  9. J. W. Gibbs, Collected Works, Vol. I, Yale University Press (New Haven, Connecticut), 1948, p. 234.

    Google Scholar 

  10. J. W. Gibbs, Collected Works, Vol. I, Yale University Press (New Haven, Connecticut), 1948, p. 223.

    Google Scholar 

  11. J. W. Gibbs, Collected Works, Vol. I, Yale University Press (New Haven, Connecticut), 1948, p. 266.

    Google Scholar 

  12. J. W. Gibbs, Collected Works, Vol. I, Yale University Press (New Haven, Connecticut), 1948, p. 253.

    Google Scholar 

  13. J. W. Gibbs, Collected Works, Vol. I, Yale University Press (New Haven, Connecticut), 1948, p. 254.

    Google Scholar 

  14. J. W. Gibbs, Collected Works, Vol. I, Yale University Press (New Haven, Connecticut), 1948, p. 300.

    Google Scholar 

  15. E. A. Guggenheim, Trans. Faraday Soc. 36: 397 (1940).

    Article  CAS  Google Scholar 

  16. S. Ono and S. Kondo, in: Encyclopedia of Physics, Vol. X, S. Flügge (ed.), Springer-Verlag (Berlin-Göttingen-Heidelberg), 1960, p. 144.

    Google Scholar 

  17. I. Langmuir, J. Am. Chem. Soc. 39: 1848 (1917).

    Article  CAS  Google Scholar 

  18. See also N. K. Adam, The Physics and Chemistry of Surfaces, Oxford University Press (London), 1941.

    Google Scholar 

  19. W. D. Harkins, The Physical Chemistry of Surface Films, Reinhold Publishing Corp. (New York), 1952.

    Google Scholar 

  20. C. Herring, in: Structure and Properties of Solid Surfaces, R. Gomer and C. S. Smith (eds.), University of Chicago Press (Chicago), 1953, Chapter I.

    Google Scholar 

  21. W. W. Mullins, in: Metal Surfaces, American Society for Metals, 1963, Chapter 2.

    Google Scholar 

  22. N. Cabrera, Surface Science 2: 320 (1964).

    Article  CAS  Google Scholar 

  23. J. W. Cahn and J. E. Hilliard, Acta Met. 7: 221 (1959).

    Article  Google Scholar 

  24. R. S. Hansen, J. Phys. Chem. 66: 410 (1962).

    Article  CAS  Google Scholar 

  25. C. Herring, Phys. Rev. 82: 87 (1951).

    Article  CAS  Google Scholar 

  26. S. Ono and S. Kondo, op. cit., p. 152.

    Google Scholar 

  27. R. Shuttleworth, Proc. Phys. Soc. (London) A63: 444 (1950).

    Article  Google Scholar 

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de Bruyn, P.L. (1966). Some Aspects of Classical Surface Thermodynamics. In: Bonis, L.J., de Bruyn, P.L., Duga, J.J. (eds) Surface Phenomena. Fundamental Phenomena in the Materials Sciences. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-6347-5_1

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  • DOI: https://doi.org/10.1007/978-1-4899-6347-5_1

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-6173-0

  • Online ISBN: 978-1-4899-6347-5

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