Accession Number:

AD0728793

Title:

A Continuum Theory of a Diatomic, Elastic Dielectric.

Descriptive Note:

Technical rept.,

Corporate Author:

COLUMBIA UNIV NEW YORK DEPT OF CIVIL ENGINEERING AND ENGINEERING MECHANICS

Personal Author(s):

Report Date:

1971-07-01

Pagination or Media Count:

36.0

Abstract:

The field equations and boundary conditions of the continuum theory of elastic dielectrics, including the contribution of the polarization gradient, are extended to apply to a compound material. A formula is obtained for the surface energy of deformation and polarization of a cubic crystal. The solution of a problem of plane waves leads to the identification of transverse and longitudinal optical, as well as acoustical, branches in the dispersion relation. A one-dimensional model of the NaC1-type crystal lattice of shell-model atoms is constructed and its finite difference equations of motion are shown to have the corresponding equations of the continuum theory as their long wave limit, without restriction to low frequency. Author

Subject Categories:

  • Solid State Physics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE