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

• Autorzy: Nguyen Hung , Dung Tran , Nguyen Toan , Barbara Kirchnner
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

• Czasopismo: Open Physics
• Rocznik: 2011
• Tom: 9
• Numer: 1
• Strony: 222-229

Daty

wydano

2011-02-01

online

2010-09-24

Twórcy

autor

Nguyen Hung

• Department of Physics, University of Science, VNU-Hanoi, 334 Nguyen Trai, Thanh Xuan, Hanoi, Vietnam,

autor

Dung Tran

• Department of Physics, University of Science, VNU-Hanoi, 334 Nguyen Trai, Thanh Xuan, Hanoi, Vietnam

autor

Nguyen Toan

• Department of Physics, University of Science, VNU-Hanoi, 334 Nguyen Trai, Thanh Xuan, Hanoi, Vietnam

autor

Barbara Kirchnner

• Wilhelm-Ostwald-Institute for Physical and Theoretical Chemistry, University of Leipzig, Linnéstr. 2, 04103, Leipzig, Germany

Bibliografia

• [1] F.A. Lindemann, Z. Phys. 11, 609 (1910)
• [2] J. J. Gillvarry, Phys. Rev. 102, 308 (1956) http://dx.doi.org/10.1103/PhysRev.102.308[Crossref]
• [3] N. Snapipiro, Phys. Rev. B 1, 3982 (1970) http://dx.doi.org/10.1103/PhysRevB.1.3982[Crossref]
• [4] H. H. Wolf, R. Jeanloz, J. Geophys. Res. 89, 7821 (1984) http://dx.doi.org/10.1029/JB089iB09p07821[Crossref]
• [5] C. J. Martin, D. A. O’Connor, J. Phys. C Solid State 10, 3521 (1977) http://dx.doi.org/10.1088/0022-3719/10/18/016[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) http://dx.doi.org/10.1103/PhysRevLett.70.1557[Crossref]
• [12] H. Löwen, Phys. Rep. 237, 249 (1994) http://dx.doi.org/10.1016/0370-1573(94)90017-5[Crossref]
• [13] F. H. Stillinger, Science 267, 1935 (1995) http://dx.doi.org/10.1126/science.267.5206.1935[Crossref]
• [14] Y. Zhou, M. Karplus, K. D. Ball, R. S. Berry, J. Chem. Phys. 116, 2323 (2002) http://dx.doi.org/10.1063/1.1426419[Crossref]
• [15] C. Chakravaty, P. G. Debenedetti, F. H. Stillinger, J. Chem. Phys. 126, 204508 (2007) http://dx.doi.org/10.1063/1.2737054[Crossref]
• [16] P. K. Skiff, N. S. Stoloff, Scripta Metall. 11, 7 (1997)
• [17] J. Ancsin, Metrologia 41, 198 (2004) http://dx.doi.org/10.1088/0026-1394/41/3/013[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) http://dx.doi.org/10.1103/PhysRevLett.87.055703[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) http://dx.doi.org/10.1143/JPSJ.76.084601[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)

Identyfikatory

DOI

10.2478/s11534-010-0065-1