THEORETICAL INVESTIGATION OF THE ELECTRONIC ENERGY BAND STRUCTURE OF CRYSTALS.

Abstract

After sketching the present state of theoretical energy band studies, this report concludes that band calculations based on assumed crystal potentials are somewhat out of date, and that further progress will require self-consistent energy band calculations carried out on the basis of clearly defined physical models. Preliminary results for diamond, silicon, germanium, and grey tin based o5 the free-electron exchange model are presented and compared with experiment. These results are the first that actually provide a serious basis for judging the adequacy of this exchange model in applications to valence crystals. Now that the feasibility of full-scale self-consistent band calculations has been decisively demonstrated (in terms of a simplified yet realistic model), it remains to improve various features of the underlying physical model. It will be necessary to adopt a more sophisticated treatment of exchange and correlation effects, and to take relativistic and spin-orbit coupling effects into account. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1964
Accession Number
AD0447277

Entities

People

  • Frank Herman

Organizations

  • Lockheed Martin Missiles and Space

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Band Structures
  • Electrons
  • Energy Bands
  • Free Electrons
  • Quantum Properties
  • Semiconductors
  • Spin-Orbit Interaction

Fields of Study

  • Physics

Readers

  • Molecular Photonics/Laser Physics
  • Spectroscopy.
  • Theoretical Analysis.

Technology Areas

  • Microelectronics
  • Space