VARIATIONAL CALCULATIONS OF SOME S-STATES IN TWO-ELECTRON ATOMS,

Abstract

Nonrelativistic energies of the 2(1)S and 2(3)S states of He, Li(+), and Be(++) and the 3(1)S and 3(3)S states of He and Li(+) have been calculated by the Rayleigh-Ritz variational method. Mass polarization corrections have also been evaluated. After correction for mass polarization, relativistic, and electromagnetic shifts the energies calculated with 31-term expansions differ from experimental values by about 2 or 3 reciprocal cm for singlet, and about .4 reciprocal cm for triplet, states. The relative effectiveness of expansions involving one, two, and three exponential parameters is discussed. For excited singlet S states, expansions with three exponential parameters result in a considerably better energy than expansions with two such parameters. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 23, 1963
Accession Number
AD0420153

Entities

People

  • J. F. Perkins

Organizations

  • United States Army Aviation and Missile Command

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Calculus
  • Calculus Of Variations
  • Charged Particles
  • Electrons
  • Elementary Fermions
  • Elementary Particles
  • Fermions
  • Leptons
  • Mathematics
  • Polarization
  • Variational Methods

Fields of Study

  • Physics

Readers

  • Molecular Photonics/Laser Physics
  • Plasma Physics / Magnetohydrodynamics
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Microelectronics