The Theory of Interatomic Potentials in Solids.

Abstract

The use of interactomic potentials in studying lattice vibrations is reviewed, with the conclusion that long-range interactions are required in all systems, and suggesting that empirical models can only succeed if they include the appropriate long-range form for the system in question. In simple metals pseudopotentials provide a theory of the interactions, which to lowest order appear as two-body, central-force interactions. The long-range part corresponds to Friedel oscillations. The reliability of the method in defect studies remains in question but current results are encouraging. The theory has been extended to noble and transition metals by direct addition of d-band and hybrid s-d contributions. This approach is promising but the corresponding interatomic interactions have not been tested. In valence crystals, the low-order perturbation theory fails and as a consequence non-central forces become essential to a representation of the interactions. Appropriate models for interatomic interactions in nonconductors and these are discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1971
Accession Number
AD0725830

Entities

People

  • Walter A. Harrison

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Crystal Lattice Vibrations
  • Crystal Lattices
  • D Band
  • Metals
  • Oscillation
  • Perturbation Theory
  • Perturbations
  • Reliability
  • Transition Metals
  • Transitions
  • Vibration

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.