Original scientific paper

Influence of correlation function on evaluation of the correlation energy for the pair (Is ↑ Is ↓) of the Be atom and its isoelectronic series

Mohamed T. Ismaiel ; Faculty of Education, Ain Shams Univ., Heliopolis, Cairo, Egypt
Kawthar A. Kamel ; Faculty of Science (for girls), Al Azhar Univ., Nasr City, Cairo, Egypt
Khaled M. A. Eid ; Faculty of Education, Ain Shams Univ., Heliopolis, Cairo, Egypt
Mohamed A. Kamel ; Faculty of Education, Ain Shams Univ., Heliopolis, Cairo, Egypt

Abstract

The influence of various correlation functions is studied and applied to the pair (Is ↑ Is ↓) of Be atom and its isoelectronic series in ground states. Two-particle approximation is used for the evaluation of the correlation energies Ec. This method allows the evaluation of Ec for different pairs separately. In the ground state of Be atom, values of Ec obtained using functions of the type χ = β (r1 + r2)φ, χ = (αr12 + β (r1 + r2))φ and χ = (αr12 + yr12 (r1 + r2))φ agree with the exact values. Results approaching 96% of the exact values are obtained using functions of the type χ = [αr12 + β (r1 + r2) + yr12 (r1 + r2)] φ.

Keywords

Hrčak ID:

331478

URI

https://hrcak.srce.hr/331478

Publication date:

7.5.1989.

Article data in other languages: croatian

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