Abstract
The nature of inverse velocity surfaces as well as energy surfaces for elastic wave propagation in the (111) plane have been studied for a number of cubic crystals. The sections of inverse velocity surfaces by the (111) plane exhibit six-fold symmetry in all cases. Cuspidal edges are exhibited with a six-fold symmetry by both the slow transverse and fast transverse shear modes in the (111) plane, unlike the case of the (100) and (110) planes for which only the slow transverse shear mode exhibits cuspidal edges. The slow transverse mode energy surface exhibits cuspidal edges along\((\bar 1\bar 12)\) direction or an equivalent symmetry direction. The inverse velocity surfaces of the A-15 compounds exhibit unusually large inflexions for the slow transverse mode, whereas their energy surfaces have large cuspidal edges which intersect each other resulting in common regions of cusps.
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References
Auld B A 1973Acoustic fields and waves in solids (New York: Interscience)
Bishop A R and Schneider T 1978Solitons and condensed matter physics (New York: Springer Verlag)
Brugger K 1965J. Appl. Phys. 36 759
Farnel G W 1961Can. J. Phys. 39 65
Federov F I 1966The theory of elastic waves in crystals (New York: Plenum Press)
Jacob Philip and Viswanathan K S 1977Pramana 8 348
Lax M and Narayanamurti V 1980Phys. Rev. B22 4876
Maris H J 1971J. Acoust. Soc. Am. 50 812
Miller G F and Musgrave M J P 1956Proc. R. Soc. A236 352
McCurdy A K 1974Phys. Rev. B9 466
Musgrave M J P 1957Proc. Cambridge Philos. Soc. 53 897
Musgrave M J P 1970Crystal acoustics (San Francisco: Holden Day)
Narayanamurti V, Andres K and Dynes R C 1973Phys. Rev. Lett. 31 687
Testardi L R, Reed W A, Bateman and Chirba V G 1965Phys. Rev. Lett. 15 250
Toda M 1967J. Phys. Soc. Jpn. 23 501
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Iyer, V.N., Viswanathan, K.S. Elastic wave surfaces for the (111) plane of cubic crystals. Pramana - J Phys 17, 135–142 (1981). https://doi.org/10.1007/BF02875429
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DOI: https://doi.org/10.1007/BF02875429