Evaluation of Self-Friction Three-Center Nuclear Attraction Integrals with Integer and Noninteger Principal Quantum Numbers n over Slater Type Orbitals

We have proposed a new approach to evaluate self-friction (sf) three-center nuclear attraction integrals over integer and noninteger slater type orbitals (stos) by using guseinov one-range addition theorem in standard convention. a complete orthonormal set of guseinov ψα exponential type orbitals (ψα-etos,α=2,1,0,-1,-2,.) has been used to obtain the analytical expressions. the overlap integrals with noninteger quantum numbers occurring in sf three-center nuclear attraction integrals have been evaluated using qnsq auxiliary functions. the accuracy of obtained formulas is satisfactory for arbitrary integer and noninteger principal quantum numbers. © 2017 ebru çopuroǧlu.