SPACE GROUP THEORY AND LATTICE DYNAMICS,

Abstract

The major applications of group theory in lattice dynamics result from the assertion that the lattice normal modes are bases for the irreducible representations of the space group. The construction of character tables for the irreducible representations in diamond is illustrated, and certain tables are presented, which have been used in deriving reduction coefficients and selection rules for infrared and Raman processes in diamond. A brief remark is made on the use of tables of coupling coefficients for the construction of lattice invariants and covariants, which are being used in a theory of infrared lattice vibration absorption. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1964
Accession Number
AD0619351

Entities

People

  • Joseph L. Birman

Organizations

  • New York University

Tags

DTIC Thesaurus Topics

  • Absorption
  • Coefficients
  • Construction
  • Couplings
  • Crystal Lattice Vibrations
  • Crystal Lattices
  • Crystal Structure
  • Dynamics
  • Lattice Dynamics
  • Personality
  • Vibration

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Materials Science and Engineering.
  • Theoretical Analysis.

Technology Areas

  • Space