Evaluation of multicenter one-electron integrals of noninteger u screened Coulomb type potentials and their derivatives over noninteger n Slater orbitals


Guseinov I., Mamedov B.

JOURNAL OF CHEMICAL PHYSICS, cilt.121, ss.1649-1654, 2004 (SCI İndekslerine Giren Dergi) identifier identifier identifier

  • Cilt numarası: 121 Konu: 4
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1063/1.1766011
  • Dergi Adı: JOURNAL OF CHEMICAL PHYSICS
  • Sayfa Sayıları: ss.1649-1654

Özet

Multicenter integrals over noninteger n Slater type orbitals with integer and noninteger, values of indices u of screened Coulomb type potentials, f(u)(eta, r) = r(u-1) e(-etar), and their first and second derivatives with respect to Cartesian coordinates of the nuclei of a molecule are described. Using complete orthonormal sets of Psi(alpha) exponential type orbitals and rotation transformation of two-center overlap integrals, these integrals are expressed through the noncentral potential functions depending on the molecular auxiliary functions A(k) and B-k. The series expansion formulas derived for molecular integrals of screened Coulomb potentials and their derivatives are especially useful for the computation of multicenter electronic attraction, electric field, and electric field gradient integrals. The convergence of series is tested for arbitrary values of parameters of potentials and orbitals. (C) 2004 American Institute of Physics.