EXCITED-STATE WAVE FUNCTION RESEARCH.

Abstract

Self-consistent field wave functions were determined in analytical form for states of neutral and ionized nitrogen and oxygen. By use of the Slater approximation to the Hartree-Fock method, numerical wave functions were computed for about 400 excited configurations of the various ionic species of nitrogen and oxygen. From these wave functions, dipole transition probabilities were computed for about 1,400 bound-state transitions. A perturbation-expansion method is presented for calculating approximate Hartree-Fock transition probabilities, and computations of a variety of 2s-2p transitions for the carbon and lithium sequences are carried out. A large number of parameters is tabulated to simplify the computation of additional transition probabilities. A discussion of the orthogonality problem for Hartree-Fock wave functions is presented which shows that these wave functions for a pair of states of the same symmetry depart from orthogonality by terms of second order in inverse powers of the nuclear charge. Finally, an exploratory investigation is made of correlation corrections to Hartree-Fock wave functions. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1963
Accession Number
AD0423114

Entities

People

  • B. H. Armstrong
  • C. C. J. Roothaan
  • J. Sokoloff
  • M. Cohen
  • P. S. Kelly

Organizations

  • Lockheed Martin Missiles and Space

Tags

DTIC Thesaurus Topics

  • Computations
  • First Principles Calculations
  • Mathematics
  • Nitrogen
  • Orthogonality
  • Perturbations
  • Probability
  • Sequences
  • Symmetry
  • Transitions
  • Wave Functions

Fields of Study

  • Physics

Readers

  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Statistical inference.