https://doi.org/10.1140/epjd/e2008-00191-2
The Z-1 expansions of the total non-relativistic energies for three- and four-electron systems
Department of Chemistry, University of Western Ontario, N6A 5B7 London, Ontario, Canada
Corresponding author: a dwardlaw@uwo.ca
Received:
17
August
2008
Revised:
23
September
2008
Published online:
15
October
2008
Analytical formulas are derived for the Z-1 (Q-1) expansions of the total energies in the two-, three- and four-electron atomic systems. The coefficients in these formulas are determined from the results of accurate and highly accurate computations with correlated wave functions. The accuracy of our formulas is sufficient to evaluate the total ground state energy of an arbitrary non-relativistic ion with two, three and four electrons.
PACS: 31.10.-p – Calculations and mathematical techniques in atomic and molecular physics / 31.15.ac – High-precision calculations for few-electron (or few-body) atomic systems / 31.15.ae – Electronic structure and bonding characteristics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2008
