• Elastic wave surfaces for the (111) plane of cubic crystals

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      https://www.ias.ac.in/article/fulltext/pram/017/02/0135-0142

    • Keywords

       

      Inverse velocity surfaces; energy surfaces; A-15 compounds; cuspidal edges

    • 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.

    • Author Affiliations

       

      V Narasimha Iyer1 K S Viswanathan1

      1. Department of Physics, University of Kerala, Kariavattom, Trivandrum - 695 581, India
    • Dates

       
  • Pramana – Journal of Physics | News

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