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, cilt.25, sa.3, ss.896-898, 2008 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Konu: 3
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1088/0256-307x/25/3/025
  • Sayfa Sayıları: ss.896-898


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.