J. Phys. I France 4 (1994) 1077-1084
Note on ultrasonic effects due to third-order elastic coefficients in icosahedrally symmetric systemsShmuel Y. Goshen1 and Joseph L. Birman2
1 Physics Dept., Nuclear Research Center, Negev, P.O. Box 9001, Beer-Sheva 84190, Israel
2 Physics Dept., City College of the City University of New York, New York, NY 10031, U.S.A.
(Received 6 September 1993, revised 14 March 1994, accepted 21 March 1994)
The identification of alloy systems of AlMn and other compounds with macroscopic icosahedral symmetry has been reported. In this work we discuss several macroscopic tensor properties which may distinguish between icosahedral point group symmetry I, from either full isotropie SO (3) symmetry, or cubic O symmetry. Emphasis is given to the structure of the third order elastic coefficient tensor and the non-linear elastic coefficients which arise in 1-symmetry systems. Corresponding sound velocities are obtained : these can permit experimental measurements using ultrasonic techniques.
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