Soviet Physics Journal

, Volume 22, Issue 11, pp 1196–1199 | Cite as

Use of natural coordinates in calculating particle oscillations in a crystal lattice

  • I. V. Rigina
  • A. A. Zaitsev
  • R. I. Podgaetskaya
Article
  • 21 Downloads

Abstract

On the basis of the classical theory of crystal-lattice oscillation and the theory of molecular oscillation, the problem of writing equations of motion for crystal-lattice oscillation, using the change in bond length and angles between bonds as the coordinates, is considered. General methods of taking into account translational symmetry in the force-constant and kinematic-coefficient matrices are determined, and the problem of eliminating unwanted coordinates is considered. Oscillations in a plane quadratic lattice are used to illustrate the method.

Keywords

Bond Length Crystal Lattice Classical Theory Translational Symmetry Quadratic Lattice 

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Copyright information

© Plenum Publishing Corporation 1980

Authors and Affiliations

  • I. V. Rigina
    • 1
  • A. A. Zaitsev
    • 1
  • R. I. Podgaetskaya
    • 1
  1. 1.Siberian Technological InstituteUSSR

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