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2004 | 2 | 1 | 90-103
Tytuł artykułu

Thermodynamic model of crystallization and melting of small particles

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The size dependence of the nanocrystal melting temperature has been investigated based on a nonequilibrium thermodynamics approach. An expression has been derived for the melting temperature that, contrary to the classical Tomson formula, takes into account the metastable character of the crystal nucleus-melt shell equilibrium. Quantitative estimations have been carried out for small spherical particles of aluminum, tin, and lead.
Wydawca

Czasopismo
Rocznik
Tom
2
Numer
1
Strony
90-103
Opis fizyczny
Daty
wydano
2004-03-01
online
2004-03-01
Twórcy
autor
  • Theoretical Physics Department, Tver State University, 170024 Sadovii side-street, 35, Tver, Russia
Bibliografia
  • [1] P. Pawlov: “Uber die Abhangigkeit des Schmelzpunctes von der Oberflachenenergie eines festen Korpers”, Z. Phys. Chem., Bd. 65, (1909), Vol. 1, pp. 1–35, Vol. 5, pp.545–548.
  • [2] Yu.I. Petrov: Physics of small particles, Nauka, Pub., Moskow, 1982 (in Russian).
  • [3] V.P. Skripov and V.P. Koverda: Spontaneous crystallization of liquids, Nauka. Pub., Moskow, 1984 (in Russian).
  • [4] L.M. Shcherbakov, V.M. Samsonov, V.A. Lavrov and O.A. Rybalchenko: “Principles of similarity in thermodynamics of microgeterogenious systems”, Colloid Journal, Vol. 61, (1999), pp. 1–6.
  • [5] B. Wunderlich: Macromolecular Physics, Vol. 2, Academic Press, New York, San Francisco, London A Subsidiary of Harcourt Brace Jovanovich, Publishers, 1974.
  • [6] M. Schmidt, R. Kusche, H. Haberland and B. von Issendorff “Irregular variation in the melting point of size-selected atomic clusters”, Nature, Vol. 393, (1998), pp. 238–240. http://dx.doi.org/10.1038/30415[Crossref]
  • [7] K.F. Peters, J.B. Cohen and Ch. Yip-Wah.: “Melting of Pb nanocrystals.”, Phys. Rev. B., Vol. 57, (1998), pp. 13430–13438. http://dx.doi.org/10.1103/PhysRevB.57.13430[Crossref]
  • [8] A. Adamson: Physical chemistry of third edition, 2nd Ed., John Willey and sons, New York, London, Sidney, Toronto, 1967, pp. 113–116.
  • [9] Yu.V. Naidich, V.M. Perevertailo and N.F. Grigorenco: Capillary fenomena in processes of crystal growth and melting, Naukova dumka, Kiev, 1983.
  • [10] R. Good: “Contact Angles and Surface Free Energy of Solid”, Surface and Coloid Science, Vol. 11, (1979), pp. 1–30.
  • [11] N. Eustatopolous: “Energetics of solid/liquid interfaces of metals and alloys”, International Metals Reviews, Vol. 28(4), (1983), pp. 189–210.
  • [12] G. Kaptay: “A Model for the Solid Liquid Interfacial Energies of Pure Metals” Transactions Toining and Welding Research Institute, Vol. 30, (2001), pp. 245–250.
  • [13] Ph. Buffat and J.P. Borel: “Size effect on the melting temperature of gold particles” Phys. Rev., Vol. 13(6), (1976), pp. 2287–2298. http://dx.doi.org/10.1103/PhysRevA.13.2287[Crossref]
  • [14] R. Haase: Thermodinamik der Irreversiblen Pozesse, Dr. Dietrich Steinkopff Verlag, Darmstadt, 1963.
  • [15] Gyarmati: Non-equilibrium thermodynamics spinger, Verlag, Berlin-Heidelberg-New York, 1970.
  • [16] I. Prigogine: Introduction to thermodynamics of irreversible processes, Charles C. Thomas, Springfild, Illinois, 1955.
  • [17] P. Chambadal: Evolution et applications du concept d'entropie, Dunod, Paris, 1963.
  • [18] A.I. Rusanov: Phasengleichgewichte und Grenzflaechen erscheinungen, Academie-Verlag, Berlin, 1978.
  • [19] C.R.W. Wronski: “The size dependence of the melting point of small particles of tin”, Brit. J. Appl. Phys., Vol. 18(12), (1967), pp. 1731–1737. http://dx.doi.org/10.1088/0508-3443/18/12/308[Crossref]
  • [20] A.A. Dic, V.N. Skokov and V.P. Koverda: Size dependence of the melting temperature of aluminium island films. Thermodinamic properties of metastable systems and kinetics of phase transitions, Ural scientific center, Sverdlovsk, 1985, pp. 27–29.
  • [21] V.P. Koverda, V.N. Skokov and V.P. Skripov: “Influence of fluctuations and nonequilibrium facing on the melting of small metallic crystals”, Physics of metals and metal sience, Vol. 51, (1981), pp. 1238–1244. (in Russian).
  • [22] A.R. Regel and V.M. Glasov: Periodic low and physical properties of electronic melts, Nauka. Pub., Moskow, 1978 (in Russian).
  • [23] S.I. Popel: Surface Phenomena in Melts, Ural'sk State Technical University, 1994.
  • [24] Ch. Kittel: Introduction to solid state physics, 4th Ed., John Wiley and Sons Inc., New York, London, Sydney, Toronto, 1972.
  • [25] Kh.B. Khokonov: “The measurement methods of the surface energy and tension of metals and alloys in the solid state”, Surface phenomena in melts and solid phases, Shtiintsa, Kishinev, (1974), pp. 190–261.
  • [26] V.M. Samsonov: “Conditions for applicability of a thermodynamic description of highly disperse and microheterogeneous systems”, Russian Journal of Physical Chemistry, Vol. 76, (2002), pp. 1863–1867.
  • [27] A.N. Basulev, V.M. Samsonov, N.Yu. Sdobnyakov: “Thermodynamic perturbation theory calculations of interpose tension in small objects”, Russian Journal of Physical Chemistry, Vol. 76, (2002), pp. 1872–1876.
  • [28] V.M. Samsonov, A.N. Basulev, N.Yu. Sdobnyakov: “On applicability of the Gibbs thermodynamic to nanoparticles”, Central European Journal of Physics, (2003), (in print).
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_BF02476274
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