The European Physical Journal D

, Volume 50, Issue 1, pp 9–12 | Cite as

The Z-1 expansions of the total non-relativistic energies for three- and four-electron systems

  • A. M. Frolov
  • D. M. WardlawEmail author
Atomic Physics


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.


31.10.-p Calculations and mathematical techniques in atomic and molecular physics High-precision calculations for few-electron (or few-body) atomic systems Electronic structure and bonding characteristics 


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© Springer 2008

Authors and Affiliations

  1. 1.Department of ChemistryUniversity of Western OntarioOntarioCanada

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