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Electron Correlation Energy in the Ground State of the Helium Sequence

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

Abstract

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.

Keywords

Wave Function Electron Correlation Correlation Energy Helium Atom Energy Error 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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