A simple model potential description of the alkaline earth isoelectronic sequences
Department of Physics, Indian Institute of Technology, Bombay 400 076, India
Max-Planck-Institut für Strömungsforschung, Bunsenstrasse 10, 37073 Göttingen,
Revised: 16 November 1999
Published online: 15 June 2000
We have developed a simple model potential with a hard core and the correct large-r Coulombic behaviour, to describe the interaction of an electron with a closed shell. One has an exact, analytic ground state wave function for this potential. This potential is used to develop two-electron perturbed and unperturbed wave functions, with the correct asymptotic behaviour and cusp conditions. These wave functions allow us to obtain accurate values for the two-electron energies, polarisabilities, hyperpolarisabilities, and dispersion coefficients of alkaline earth sequences. Many of these results are the only ones available in the literature.
PACS: 31.15.-p – Calculations and mathematical techniques in atomic and molecular physics (excluding electron correlation calculations)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000