Study of Bond Strengths in Metals Using Localized Functions.

Abstract

The possibility of using Wannier functions in the theory of the energy of metals is important because it would greatly simplify the analysis of local interactions involved in defect formation, diffusion, ordering and precipitation. The objective of this study was to determine to what extent such localized functions could be applied to metals. This study began with the development of a general formalism that showed how to construct quasi-Wannier localized functions for nonperiodic as well as crystalline systems, and to incorporate such functions in cohesive energy theory. The theory was applied to the alkali metals, alkaline earth metals and cadmium, to successfully describe the cohesive energy, lattice parameter, compressibility and equation of state. The conclusion was that the method is practical, and localized functions can indeed be used in metals. A model was proposed, the 'rigid Wannier function' model, which would greatly simplify calculations in distorted crystals. The model gives a reasonable representation of the electron density around point defects in ideal methods. It is currently being applied to phonon spectra and relaxation of atoms around an impurity. This work will continue even though the contract period is over. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1976
Accession Number
ADA021150

Entities

People

  • Louis A. Girifalco

Organizations

  • University of Pennsylvania

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Alkali Metals
  • Alkaline Earth Metals
  • Charged Particles
  • Compressive Properties
  • Contracts
  • Crystal Lattices
  • Crystals
  • Diffusion
  • Electron Density
  • Electrons
  • Elementary Fermions
  • Elementary Particles
  • Equations
  • Fermions
  • Impurities
  • Metals
  • Point Defects

Readers

  • Materials Science and Engineering.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Theoretical Analysis.

Technology Areas

  • Microelectronics