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Physics Research International
Volume 2011 (2011), Article ID 350540, 7 pages
Research Article

Computations of Ultrasonic Parameters in Z r 𝟏 𝟎 𝟎 − 𝑋 S n 𝑋 Alloys

Department of Applied Physics, AMITY School of Engineering and Technology, Bijwasan, New Delhi 110 061, India

Received 10 September 2010; Revised 24 March 2011; Accepted 2 May 2011

Academic Editor: Ashok Chatterjee

Copyright © 2011 Pramod Kumar Yadawa. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The ultrasonic properties like ultrasonic attenuation, sound velocity in the hexagonal Z r 1 0 0 − 𝑋 S n 𝑋 alloys have been studied along unique axis at room temperature. The second- and third-order elastic constants (SOEC & TOEC) have been calculated for these alloys using Lennard-Jones potential. The velocities 𝑉 𝐿 and 𝑉 𝑆 1 have minima and maxima, respectively, at 45° with unique axis of the crystal, while 𝑉 𝑆 2 increases with the angle from unique axis. The inconsistent behaviour of angle-dependent velocities is associated to the action of second-order elastic constants. Debye average sound velocities of these alloys are increasing with the angle and has maximum at 55° with unique axis at room temperature. Hence, when a sound wave travels at 55° with unique axis of these alloys, then the average sound velocity is found to be maximum. The mechanical and ultrasonic properties of these alloys will be better than pure Zr and Sn due to their high SOEC and ultrasonic velocity and low ultrasonic attenuation. The comparison of calculated ultrasonic parameters with available theoretical/experimental physical parameters gives information about classification of these alloys.