One-Range Addition Theorems in Terms of -ETOs for STOs and Coulomb-Yukawa Like Correlated Interaction Potentials of Integer and Noninteger Indices

摘要

In this study, the one-center expansion formulas in terms of completeorthonormal sets of -exponential type orbitals (-ETOs,) are established for theSlater type orbitals (STOs) and Coulomb-Yukawa like correlated interactionpotentials (CIPs) of integer and noninteger indices. These relations are usedin obtaining the unsymmetrical and symmetrical one-range addition theorems forSTOs and Coulomb-Yukawa like CIPs. The final results are especially useful inthe calculations of multicenter multielectron integrals of STOs and CIPsoccurring when Hartree-Fock-Roothaan (HFR) and explicitly correlated method areemployed.