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Central European Journal of Physics

, Volume 9, Issue 1, pp 222–229 | Cite as

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

  • Nguyen V. HungEmail author
  • Dung T. Tran
  • Nguyen C. Toan
  • Barbara Kirchnner
Research Article
  • 70 Downloads

Abstract

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 Ni x agree well with the measured ones, and those for the other alloys are found to be in a reasonable agreement with experiment.

Keywords

thermodynamic lattice theory Lindemann’s melting temperature eutectic point binary alloys 

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Copyright information

© © Versita Warsaw and Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Nguyen V. Hung
    • 1
    Email author
  • Dung T. Tran
    • 1
  • Nguyen C. Toan
    • 1
  • Barbara Kirchnner
    • 2
  1. 1.Department of PhysicsUniversity of ScienceThanh Xuan, HanoiVietnam
  2. 2.Wilhelm-Ostwald-Institute for Physical and Theoretical ChemistryUniversity of LeipzigLeipzigGermany

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