Polonium bulk and surface vibrational dynamics

Antoine Khater, Rachid Tigrine, Boualem Bourahla

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Calculations are presented for the bulk phonons and for surface Rayleigh phonons and resonances for Polonium, the only element known to form in the simple cubic lattice. The static stability of this lattice has been confirmed recently by ab initio simulations which yield two bulk elastic constants, c11 and c 12. Constitutive equations are derived for the isotropic cubic lattice based upon the Fuchs's method. This permits effectively a numerical evaluation of central potential force constants for Polonium from the ab initio results. Numerical calculations are then made for the material vibration dynamics in the force constant model with the use of the matching method. The numerical applications yield for Polonium the bulk phonon branches along [100], [110], and [111], and the Rayleigh phonons and surface resonances along the [010] direction in an unreconstructed (001) surface. The local vibration densities of states are calculated for bulk and surface sites for this element.

Original languageEnglish
Pages (from-to)1614-1617
Number of pages4
JournalPhysica Status Solidi (B) Basic Research
Volume246
Issue number7
DOIs
Publication statusPublished - Jul 2009
Externally publishedYes

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Polonium
polonium
Phonons
phonons
cubic lattices
static stability
vibration
constitutive equations
Elastic constants
Constitutive equations
elastic properties
evaluation
simulation

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Polonium bulk and surface vibrational dynamics. / Khater, Antoine; Tigrine, Rachid; Bourahla, Boualem.

In: Physica Status Solidi (B) Basic Research, Vol. 246, No. 7, 07.2009, p. 1614-1617.

Research output: Contribution to journalArticle

Khater, Antoine ; Tigrine, Rachid ; Bourahla, Boualem. / Polonium bulk and surface vibrational dynamics. In: Physica Status Solidi (B) Basic Research. 2009 ; Vol. 246, No. 7. pp. 1614-1617.
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