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Vibrational motions of the ions and thermal effects

  • Attilio Rigamonti
  • Pietro Carretta
Part of the UNITEXT book series (UNITEXT)

Abstract

Hereafter we shall afford the problem of the motions of the ions around their equilibrium positions in an ideal (disorder- and defect-free) crystal. The motions are called lattice vibrations. The Born-Oppenheimer separation and the adiabatic approximation (§7.1) will be implicit and the concepts involved in the description of the normal modes (§10.6) in the harmonic approximation will be used. In fact, the crystal cell will be considered as a molecular unit: its normal modes propagate along the crystal with a phase factor, in view of the spatial periodicity.

Keywords

Sound Velocity Vibrational Spectrum Debye Temperature Lattice Vibration Acoustic Mode 
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Copyright information

© Springer-Verlag Italia 2009

Authors and Affiliations

  • Attilio Rigamonti
    • 1
  • Pietro Carretta
    • 1
  1. 1.Dipartimento di Fisica “A. Volta”Università degli Studi di PaviaPavia

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