Preferences help
enabled [disable] Abstract
Number of results
2011 | 9 | 1 | 222-229
Article title

A thermodynamic lattice theory on melting curve and eutectic point of binary alloys. Application to fcc and bcc structure

Title variants
Languages of publication
A thermodynamic lattice theory has been developed for determination of the melting curves and eutectic points of binary alloys. Analytical expressions for the melting curves of binary alloys composed of constituent elements with the same structure have been derived from expressions for the ratio of root mean square fluctuation in atomic positions on the equilibrium lattice positions and the nearest neighbor distance. This melting curve provides information on Lindemann’s melting temperatures of binary alloys with respect to any proportion of constituent elements, as well as on their eutectic points. The theory has been applied to fcc and bcc structure. Numerical results for some binary alloys provide a good correspondence between the calculated and experimental phase diagrams, where the calculated results for Cu1−x
Nix agree well with the measured ones, and those for the other alloys are found to be in a reasonable agreement with experiment.
Physical description
1 - 2 - 2011
24 - 9 - 2010
  • Department of Physics, University of Science, VNU-Hanoi, 334 Nguyen Trai, Thanh Xuan, Hanoi, Vietnam
  • Department of Physics, University of Science, VNU-Hanoi, 334 Nguyen Trai, Thanh Xuan, Hanoi, Vietnam
  • Department of Physics, University of Science, VNU-Hanoi, 334 Nguyen Trai, Thanh Xuan, Hanoi, Vietnam
  • Wilhelm-Ostwald-Institute for Physical and Theoretical Chemistry, University of Leipzig, Linnéstr. 2, 04103, Leipzig, Germany
  • [1] F.A. Lindemann, Z. Phys. 11, 609 (1910)
  • [2] J. J. Gillvarry, Phys. Rev. 102, 308 (1956)[Crossref]
  • [3] N. Snapipiro, Phys. Rev. B 1, 3982 (1970)[Crossref]
  • [4] H. H. Wolf, R. Jeanloz, J. Geophys. Res. 89, 7821 (1984)[Crossref]
  • [5] C. J. Martin, D. A. O’Connor, J. Phys. C Solid State 10, 3521 (1977)[Crossref]
  • [6] C. Kittel, Introductionto Solid State Physics, 7 th edition (Wiley & Son, New York, 1996)
  • [7] T. B. Massalski, Binary Alloy Phase Diagrams, 2nd edition (ASM International Materials Parks, OH, 1990)
  • [8] D. Machon, P. Toledano, G. Krexner, Phys. Rev. B71, 024110 (2005)
  • [9] E. A. Stern, P. Livins, Z. Zhang, Phys. Rev. B43, 8850 (1991)
  • [10] D. Alfè, L. Vočadlo, G. D. Price, M. J. Gillan, J. Phys. - Condens. Mat. 16, 937 (2004)
  • [11] H. Löwen, T. Palberg, R. Simon, Phys. Rev. Lett. 70, 1557 (1993)[Crossref]
  • [12] H. Löwen, Phys. Rep. 237, 249 (1994)[Crossref]
  • [13] F. H. Stillinger, Science 267, 1935 (1995)[Crossref]
  • [14] Y. Zhou, M. Karplus, K. D. Ball, R. S. Berry, J. Chem. Phys. 116, 2323 (2002)[Crossref]
  • [15] C. Chakravaty, P. G. Debenedetti, F. H. Stillinger, J. Chem. Phys. 126, 204508 (2007)[Crossref]
  • [16] P. K. Skiff, N. S. Stoloff, Scripta Metall. 11, 7 (1997)
  • [17] J. Ancsin, Metrologia 41, 198 (2004)[Crossref]
  • [18] J. M. Ziman, Principles of the Theory of Solids (Cambridge University Press, London, 1972)
  • [19] Z. H. Jin, P. Gumbsch, K. Lu, E. Ma, Phys. Rev. Lett. 87, 055703 (2001)[Crossref]
  • [20] N. V. Hung, J. J. Rehr, Phys. Rev. B56, 43 (1997)
  • [21] M. Daniel, D. M. Pease, N. V. Hung, J. I. Budnick, Phys. Rev. B69, 134414 (2004)
  • [22] N. V. Hung, P. Fornasini, J. Phys. Soc. Jpn. 76, 084601 (2007)[Crossref]
  • [23] N. V. Hung, T. S. Tien, L. H. Hung, R. R. Frahm, Int. J. Mod. Phys. B22, 5155 (2008)
  • [24] Y. S. Touloukian, R. K. Kirby, R. E. Taylor, P. D. Desai, Thermal expansion, Metallic, Elements and Alloys. Thermophys. properties of matter, Vol. 12 (IFI/Plenum, New York-Washington, 1975)
Document Type
Publication order reference
YADDA identifier
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.