Electron Correlation Energy in the Ground State of the Helium Sequence

  • Khalil H. A. AL-Bayati
  • Nada I. I. AL-Zubaidi
Conference paper


The purpose of this work is to examine five trial wave functions for the helium atom and the helium-like ions (He, Li+, Be2+,…..Ne8+). The comparisons between the trial wave function have been done in view of the calculated energy (E) and the electron–electron repulsion, \( \left\langle {\frac{1}{{{r_{12 }}}}} \right\rangle \), for the atom and all the ions considered. The calculations show that as the wave function becomes more correlated, E corr increases and the percentage error in energy calculation decreases, whereas this percentage, for all systems under study, decreases as Z increases. The best trial wave function in this work gives results closer to the experimental findings due to a reduction in electron–electron repulsion.


Wave Function Electron Correlation Correlation Energy Helium Atom Energy Error 
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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  • Khalil H. A. AL-Bayati
    • 1
  • Nada I. I. AL-Zubaidi
    • 2
  1. 1.Department of Physics, College of Science for WomenBaghdad UniversityBaghdadIraq
  2. 2.Department of Physics, College of ScienceDiyala UniversityDiyalaIraq

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