Elastic Waves and the Thermal Capacity of a Crystal

  • Fedor I. Fedorov

Abstract

Dulong and Petit in 1819 discovered the rule that the atomic thermal capacity of any solid is 6 cal/deg. This rule agrees well with experiment for suitable high temperatures, and classical statistical physics readily explains it by considering each atom as a threedimensional harmonic oscillator with quasielastic binding to some equilibrium position, the distribution of the energy over the degrees of freedom being invoked. This distribution indicates that each degree of freedom at equilibrium has the same energy kT/2, in which T is absolute temperature and k is Boltzmann’s constant, which is 1.38044 × 10-16 erg/deg.

Keywords

Elastic Wave Debye Temperature Barium Titanate Hexagonal Crystal Proper Mode 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1968

Authors and Affiliations

  • Fedor I. Fedorov
    • 1
    • 2
  1. 1.Laboratory of Theoretical PhysicsPhysics Institute of the Academy of Sciences of the Belorussian SSRBelarus
  2. 2.Department of Theoretical PhysicsBelorussian State UniversityMinskBelarus

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