TAILIEUCHUNG - Báo cáo " Calculation of Lindemann’s melting Temperature and Eutectic Point of bcc Binary Alloys "

Analytical expressions for the ratio of the root mean square fluctuation in atomic positions on the equilibrium lattice positions and the nearest neighbor distance and the mean melting curves of bcc binary alloys have been derived. This melting curve provides information on Lindemann’s melting temperatures of binary alloys with respect to any proportion of constituent elements and on their euctectic points. Numerical results for some bcc binary alloys are found to be in agreement with experiment. Keywords: Lindemann’s melting temperature, eutectic point, bcc binary alloys. . | VNU Journal of Science Mathematics - Physics 26 2010 147-154 Calculation of Lindemann s melting Temperature and Eutectic Point of bcc Binary Alloys Nguyen Van Hung Nguyen Cong Toan Hoang Thi Khanh Giang Department of Physics University of Science VNU 334 Nguyen Trai Thanh Xuan Hanoi Vietnam Received 1 June 2010 Abstract. Analytical expressions for the ratio of the root mean square fluctuation in atomic positions on the equilibrium lattice positions and the nearest neighbor distance and the mean melting curves of bcc binary alloys have been derived. This melting curve provides information on Lindemann s melting temperatures of binary alloys with respect to any proportion of constituent elements and on their euctectic points. Numerical results for some bcc binary alloys are found to be in agreement with experiment. Keywords Lindemann s melting temperature eutectic point bcc binary alloys. 1. Introduction The melting of materials has great scientific and technological interest. The problem is to understand how to determine the temperature at which a solid melts . its melting temperature. The atomic vibrational theory has been successfully applied by Lindemann and others 1-5 . The Lindemann s criterion 1 is based on the concept that the melting occurs when the ratio of the root mean square fluctuation RMSF in atomic positions on the equilibrium lattice positions and the nearest neighbor distance reaches a critical value. Hence the lattice thermodynamic theory is one of the most important fundamentals for interpreting thermodynamic properties and melting of materials 1-6 8-15 . The binary alloys have phase diagrams containing the liquidus or melting curve going from the point corresponding the melting temperature of the host element to the one of the doping element. The minimum of this melting curve is called the eutectic point. The melting is studied by experiment 7 and by different theoretical methods. X-ray Absorption Fine Structure XAFS procedure in studying .

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