Abstract
The specific surface energy of small nanoclusters of transition fcc metals is calculated using the many-particle tight-binding potential and its earlier analog, the Gupta potential. The calculations are performed using both a theoretical model and computer simulations based on the Monte Carlo method. The equimolecular surface is considered as the dividing surface. It is found that at short radii of the nanoclusters, the surface energy and surface tension grow linearly as the particle radius increases. The values of the coefficient of proportionality in the dependence of the specific surface energy on the radius of a nanocluster are compared to the available literature data, experimental and otherwise.
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References
Gibbs, J.W., Elementary Principles in Statistical Mechanics Developed with Especial Reference to the Rational Foundation of Thermodynamics, New York: Charles Scribner’s Sons, 1902.
Tolman, R.C., J. Chem. Phys., 1949, vol. 17, no. 2, p. 333.
Rusanov, A.I., Termodinamika poverkhnostnykh yavlenii (Thermodynamics of Surface Phenomena), Leningrad: Leningr. Univ., 1960, p. 122.
Vitol’, E.N., Kolloidn. Zh., 1992, vol. 54, no. 3, p. 21.
Fenelonov, V.B., Kodenyov, G.G., and Kostrovsky, V.G., J. Phys. Chem. B, 2001, vol. 105, p. 1050.
Shcherbakov, L.M., Issledovaniya v oblasti poverkhnostnykh sil (Research in the Field of Surface Forces), Moscow: Nauka, 1964, p. 17.
Ono, S. and Kondo, S., Molecular Theory of Surface Tension in Liquids, Berlin, Heidelberg: Springer, 1960.
Samsonov, V.M., Shcherbakov, L.M., Novoselov, A.R., and Lebedev, A.V., Colloids Surf., 1999, vol. 160, no. 2, p. 117.
Samsonov, V.M., Bazulev, A.N., and Sdobnyakov, N.Yu., Cent. Eur. J. Phys., 2003, vol. 1, no. 3, p. 474.
Samsonov, V.M., Bazulev, A.N., and Sdobnyakov, N.Yu., Khim. Komp’yut. Model. Butlerov. Soobshch., 2002, no. 10, p. 267.
Samsonov, V.M., Bazulev, A.N., and Sdobnyakov, N.Yu., J. Phys. Chem., 2003, vol. 77, suppl. 1, p. 158.
Baidakov, V.G. and Boltachev, G.Sh., Phys. Rev. E, 1997, vol. 59, no. 1, p. 5648.
Morokhov, I.D., Trusov, L.I., and Lapovok, V.N., Fizicheskie yavleniya v ul’tradispersnykh sistemakh (Physical Phenomena in Ultradisperse Systems), Moscow: Energoatomizdat, 1984.
Cleri, F. and Rosato, V., Phys. Rev. B, 1993, vol. 48, no. 1, p. 22.
Rusanov, A.I., Fazovye ravnovesiya i poverkhnostnye yavleniya (Phase Equilibriums and Surface Phenomena), Leningrad: Khimiya, 1967.
Samsonov, V.M., Russ. J. Phys. Chem. A., 2002, vol. 76, no. 11, p. 1863.
Gupta, R.P., Phys. Rev. B, 1981, vol. 23, no. 12, p. 6265.
Alchagirov, A.B., Alchagirov, B.B., Taova, T.M., and Khokonov, K.B., Trans. JWRI, 2001, vol. 30, p. 287.
Magomedov, M.N., Phys. Solid State, 2004, vol. 46, no. 5, p. 954.
Shebzukhov, Z.A., Shebzukhova, M.A., and Shebzukhov, A.A., Bull. Russ. Acad. Sci.: Phys., 2009, vol. 73, no. 7, p. 928.
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Original Russian Text © V.M. Samsonov, A.A. Chernyshova, N.Yu. Sdobnyakov, 2016, published in Izvestiya Rossiiskoi Akademii Nauk. Seriya Fizicheskaya, 2016, Vol. 80, No. 6, pp. 768–771.
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Samsonov, V.M., Chernyshova, A.A. & Sdobnyakov, N.Y. Size dependence of the surface energy and surface tension of metal nanoparticles. Bull. Russ. Acad. Sci. Phys. 80, 698–701 (2016). https://doi.org/10.3103/S1062873816060290
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DOI: https://doi.org/10.3103/S1062873816060290