# Accession Number:

## AD0658037

# Title:

## THE GROUND STATE OF ATOMIC TWO-ELECTRON SYSTEMS IN THE INDEPENDENT PARTICLE MODEL,

# Descriptive Note:

# Corporate Author:

## UPPSALA UNIV (SWEDEN) QUANTUM CHEMISTRY GROUP

# Personal Author(s):

# Report Date:

## 1967-07-01

# Pagination or Media Count:

## 42.0

# Abstract:

Scaled variational functions of the form Phi sub alphak e exp. -Z-1e exp. -alphakrkr, where Z is the nuclear charge and alpha is a parameter, and Phi sub betaalphak exp. -beta e exp -alphakrkr, where both alpha and beta are parameters, are used for the description of the ground state of atomic two-electron systems in the independent particle model. The scale factor k has been introduced in order to satisfy the virial theorem. Apart from the energy, a number of one-electron expectation values have been calculated and the results are compared with those obtained from other variational functions. The function Phi sub alphak yields already a good approximation to the Hartree-Fock solution whereas with the function Phi sub betaalphak the Hartree-Fock results are practically reproduced. Author

# Descriptors:

# Subject Categories:

- Atomic and Molecular Physics and Spectroscopy
- Quantum Theory and Relativity