A simple model potential description of the alkaline earth isoelectronic sequences

Authors
Citation
Sh. Patil, A simple model potential description of the alkaline earth isoelectronic sequences, EUR PHY J D, 10(3), 2000, pp. 341-347
Citations number
23
Categorie Soggetti
Physics
Journal title
EUROPEAN PHYSICAL JOURNAL D
ISSN journal
14346060 → ACNP
Volume
10
Issue
3
Year of publication
2000
Pages
341 - 347
Database
ISI
SICI code
1434-6060(200006)10:3<341:ASMPDO>2.0.ZU;2-G
Abstract
We have developed a simple model potential with a hard core and the correct larger-tau 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 perturb ed and unperturbed wave functions, with the correct asymptotic behaviour an d 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.