Crystals under Strain: Symmetry Considerations.

Abstract

The application of Group Theory to the calculation of electronic energy shifts in ordered crystals under strain considerably simplifies the computational effort and presentation of results. A perturbation approach to such calculation is outlined. To make full use of Group Theory arbitrary strains must first be decomposed into component strains and the point groups associated with the particular component strains must be known. This report indicates how one determines these associations and describes the simplifying relations which exist due to symmetry alone. Specific examples for deformations of cubic, hexagonal, and tetragonal crystals are given. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1976
Accession Number
ADA031846

Entities

People

  • D. M. Gray

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Atomic Spectroscopy
  • Band Theory Of Solids
  • Bravais Lattices
  • Computer Programs
  • Crystal Lattices
  • Energy Bands
  • Energy Levels
  • Geometry
  • Perturbation Theory
  • Perturbations
  • Physics
  • Plane Waves
  • Quantum Mechanics
  • Solid State Physics
  • Theorems
  • Three Dimensional
  • Two Dimensional

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Materials Science and Engineering.
  • Systems Analysis and Design

Technology Areas

  • Microelectronics
  • Microelectronics - Graphene