On applicability of Gibbs thermodynamics to nanoparticles

• Authors: V. Samsonov , A. Bazulev , N. Sdobnyakov
• Languages of publication: EN

Abstracts

EN

The problem of applicability of thermodynamics to small objects has been investigated. It is shown that the Gibbs surface phase method may be extended to nanoparticles if the effective surface tension (the specific excess free energy) is interpreted as a function of the particle radius.

Keywords

EN

Theoretical methods; models and techniques; equilibrium thermodynamics and statistical mechanics; surface thermodynamics; surface energy; surface structure; surface tension; nanoscience; 68.03.Cd; 81.07.-b; 05.70.Np

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2003
• Volume: 1
• Issue: 3
• Pages: 474-484

Dates

published

1 - 9 - 2003

online

1 - 9 - 2003

Contributors

author

V. Samsonov

• Tver State University, 33 Zhelyabov St., 170000, Tver, Russia

author

A. Bazulev

• Tver State University, 33 Zhelyabov St., 170000, Tver, Russia

author

N. Sdobnyakov

• Tver State University, 33 Zhelyabov St., 170000, Tver, Russia

References

• [1] J.W. Gibbs: The Collected Works, Vol. 1, Longmans, Green and Co. New York, London, Toronto, 1928.
• [2] T.L. Hill: Thermodynamics of Small Systems, W.A. Benjamin Inc. Publishers, New York, Amsterdam, 1963.
• [3] R.C. Tolman: “The effect of droplet size on surface tension”, Journ. Chem. Phys., Vol. 17, (1949), pp. 333–340. http://dx.doi.org/10.1063/1.1747247[Crossref]
• [4] R.C. Tolman: Relativity Thermodynamics and Cosmology, Clarendon Press, Oxford, 1969.
• [5] V.M. Samsonov and Murav'ev: “Chemistry of Highly Organized Compounds and Scientific Foundations of Nanotechnology”, Proceeding of the 1 st International Conference, S-Peterburg (Russian), 1996, Vol. 3, pp. 512–515.
• [6] J.S. Rowlinson and B. Widom: Molecular Theory of Capillarity, Clarendon Press, Oxford, 1982.
• [7] J.A. Wingrave, R.S. Schechter, W.H. Wade: in The Modern Theory of Capillarity, Khimia Pub. Leningrad, 1980, pp. 244–273.
• [8] V.V. Pogosov: “Curvature correction for surface tension of a metal droplets”, Chem. Phys. Lett., Vol. 193, (1992), pp. 473–477. http://dx.doi.org/10.1016/0009-2614(92)85834-W[Crossref]
• [9] A.I. Rusanov: Phasengleichgewichte und Grenzflaechenerscheinungen, Chapter 8, Academe-Verlag, Berlin, 1978.
• [10] L.M. Scherbakov: Research in Surface Forces, Vol. 2, Consultants Bureau, N.Y., 1966, pp. 26–32.
• [11] R.P. Feynman: Statistical Mechanics, Chapter 2, W.A. Benjamin Inc. Massachusetts, 1972.
• [12] V.M. Samsonov, L.M. Shcherbakov, A.R. Novoselov, A.V. Lebedev: “Investigation of the Microdrop Surface Tension and the Linear Tension of the Wetting Perimeter on the Basic of Similarity Concepts and the Thermodynamic Perturbation Theory”, Colloids and Surfaces, Vol. 160, (1999), pp. 117. http://dx.doi.org/10.1016/S0927-7757(99)00350-7[Crossref]
• [13] V.M. Samsonov, S.D. Murav'ev, A.N. Bazulev: “Surface characteristics, structure and stability of the nanosized particles”, Russian Journal of Physical Chemistry, Vol. 74, (2000), pp. 1791.
• [14] V.M. Samsonov, A.N. Bazulev, S.D. Murav'ev: “Investigation of the surface tension of metal microdrops on the basis of the thermodynamic perturbation theory. Trans”, Joining and Welding Research Institute, Osaka University, Vol. 30, (2001), pp. 293.
• [15] V.A. Mazur and Yu.A. Pochkin: “Analytical model for the radial distribution function of the Lennard-Jones liquid”, Zhurn. Strukt. Khim., Vol. 5, (1986), pp. 144.
• [16] R.B. Bird, J.O. Hirshfelder, C.F. Curtis: Molecular Theory of Gases and Liquids, “University of Wisconsin John Wiley and Sons Inc”, N.Y., 1954.
• [17] D. Schiff: “Computer experiments on liquid metals”, Phys. Rev., Vol. 186, (1969), pp. 151–159. http://dx.doi.org/10.1103/PhysRev.186.151[Crossref]
• [18] D. Chandler and H. C. Andersen: “Optimized cluster expansion for classifical fluids. Theory of molecular liquids. Journ”, Journ. Chem. Phys., Vol. 57, (1972), pp. 1930–1937. http://dx.doi.org/10.1063/1.1678513[Crossref]
• [19] T.V. Bykov, A.K. Shchekin: “Surface tension, Tolman's length and effective hardness constant of the surface droplet layer with large curvature radius”, Inorg. Materials, Vol. 35, (1999), pp. 759.
• [20] V.M. Samsonov, A.N. Bazulev, N.Yu. Sdobnyakov: Russian Journal of Physical Chemistry, (2003), (in press) [WoS]
• [21] V.M. Samsonov, N. Yu. Sdobnyakov, A.N. Bazulev: “On thermodynamic stability conditions for nanosized particles”, Surface Science, Vol. 532–535, (2003), pp. 526–530. http://dx.doi.org/10.1016/S0039-6028(03)00090-6[Crossref]
• [22] B.O. Hall, B. Flueli, R. Monot, J.P. Borel: “Multiply twinned structures and unsupported ultrafine silver particles observed by electron diffraction”, Phys. Rev. B., Vol. 43, (1991), pp. 3906–3917. http://dx.doi.org/10.1103/PhysRevB.43.3906[Crossref]
• [23] F. Baletto, C. Mottet, R. Ferrado: “Reentrant Morphology Transition in the Growth of Free Silver Nanoclusters”, Phys. Rev. Lett., Vol. 84, (2000), pp. 5544–5547. http://dx.doi.org/10.1103/PhysRevLett.84.5544[Crossref]

Identifiers

DOI

10.2478/BF02475858