Ground state energy calculations of isoelectronic series of He in double-zeta approximation using coulomb potential with noninteger indices

Israfil G. I., Hueseyin A.

CHINESE PHYSICS LETTERS, vol.25, no.3, pp.896-898, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 25 Issue: 3
  • Publication Date: 2008
  • Doi Number: 10.1088/0256-307x/25/3/025
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.896-898
  • Çanakkale Onsekiz Mart University Affiliated: Yes


Using formulae for one- and two-electron integrals of Coulomb interaction potential f(k)(r) = r(-k) with non-integer indices k established by one of the authors with the help of complete orthonormal sets of Psi(alpha)-exponential-type orbitals (alpha = 1, 0, -1, -2, . . .), we perform the calculations for isoelectronic series of the He atom containing nuclear charges from 2 to 10, where k = 1 - mu (-1 < mu < 0). For this purpose we have used the double-zeta approximation, the configuration interaction and coupled-cluster methods employing the integer-n Slater-type orbitals as basis sets. It is demonstrated that the results of calculations obtained are better than the numerical Hartree-Fock values.