THEORY OF METAL SURFACE: CHARGE DENSITY AND SURFACE ENERGY.

Abstract

The first part of this paper deals with the jellium model of a metal surface. The theory of the inhomogeneous electron gas, with local exchange and correlation energies, is used. Self-consistent electron density distributions are obtained. The surface energy is found to be negative for high densities (r sub s = or < 2.5). In the second part, two corrections to the surface energy are calculated which arise when the positive background model is replaced by a pseudopotential model of the ions. One correction is a cleavage energy of a classical neutralized lattice, the other an interaction energy of the pseudopotentials with the electrons. Both of these corrections are essential at higher densities (r sub s = or < 4). The resulting surface energy is in semiquantitative agreement with surface-tension measurements for eight simple metals (Li, Na, K, Rb, Cs, Mg, Zn, Al), typical errors being about 25%. For Pb there is a serious disagreement. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 22, 1970
Accession Number
AD0701344

Entities

People

  • N. D. Lang
  • W. Kohn

Organizations

  • University of California, San Diego

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Charge Density
  • Electron Density
  • Electron Gas
  • Electrons
  • Energy
  • High Density
  • Surface Energy
  • Surface Tension

Fields of Study

  • Physics

Readers

  • Materials Science and Engineering.
  • Plasma Physics / Magnetohydrodynamics
  • Quantum Chemistry

Technology Areas

  • Microelectronics