Resonance states of atomic anions

Alexei V. Sergeev, Sabre Kais

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13 Citations (Scopus)


We study destabilization of an atom in its ground state with decrease of its nuclear charge. By analytic continuation from bound to resonance states, we obtain complex energies of unstable atomic anions with nuclear charge that is less than the minimum "critical" charge necessary to bind N electrons. We use an extrapolating scheme with a simple model potential for the electron, which is loosely bound outside the atomic core. Results for O2- and S2- are in good agreement with earlier estimates. Alternatively, we use the Hylleraas basis variational technique with three complex nonlinear parameters to find accurately the energy of two-electron atoms as the nuclear charge decreases. Results are used to check the less accurate one-electron model.

Original languageEnglish
Pages (from-to)255-261
Number of pages7
JournalInternational Journal of Quantum Chemistry
Issue number5
Publication statusPublished - 20 Apr 2001



  • Complex rotation method
  • Ionization energy
  • Negative ions
  • Resonance states
  • Screened Coulomb potential

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics
  • Physical and Theoretical Chemistry

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