Comments on the Anisotropy of the Lattice Vibrations of Hexagonal Close Packed Metals

  • Imafuku M.
    Department of Metallurgy and Materials Science, Faculty of Engineering, The University of Tokyo
  • Yamamoto R.
    Department of Metallurgy and Materials Science, Faculty of Engineering, The University of Tokyo
  • Doyama M.
    Department of Metallurgy and Materials Science, Faculty of Engineering, The University of Tokyo

Abstract

The local frequency spectra of hcp metals (Mg, Zn, Cd) were calculated by the recursion method along two directions, one parallel to the hexagonal c-axis and the other perpendicular to the c-axis. The force constant matrix was computed by the interatomic potentials (Lennard-Jones potential) or taken from the experimental values if they were available. The mean-square atomic displacements were also computed and compared with the experimentally observed ones. Discussions were given on the usefulness of the Lennard-Jones potentials for hcp metals.

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