Phonon Spectrum of Scandium Metal by Inelastic Scattering of Neutrons

N. Wakabayashi, S. K. Sinha, and F. H. Spedding
Phys. Rev. B 4, 2398 – Published 15 October 1971
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Abstract

The phonon dispersion relations along the principal symmetry axes of the hexagonal close-packed metal scandium have been measured at room temperature by means of inelastic neutron scattering. The results have been analyzed in terms of a sixth-neighbor modified axially symmetric force-constant model. Both the dispersion curves and the force-constant model are qualitatively similar to those obtained for yttrium metal and yield long-range interactions in the basal plane, but interactions which decrease rapidly in the direction normal to the basal plane. A qualitative discussion is also given concerning the directional nature of the bonding in hcp metals from a consideration of the electron-phonon matrix elements. Evidence has been found for an anomaly along the Δ1 branch reflecting the nesting feature of the Fermi surface along that direction. An unsuccessful search has been made for paramagnon-type excitations in this metal down to 4.2 K.

  • Received 29 March 1971

DOI:https://doi.org/10.1103/PhysRevB.4.2398

©1971 American Physical Society

Authors & Affiliations

N. Wakabayashi*, S. K. Sinha, and F. H. Spedding

  • Institute for Atomic Research and Department of Physics, Iowa State University, Ames, Iowa 50010

  • *Present address: Solid State Division, Oak Ridge National Laboratory, Oak Ridge, Tenn. 37830.

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Issue

Vol. 4, Iss. 8 — 15 October 1971

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