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

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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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