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Computation of multicenter overlap integrals with Slater-type orbitals using psi(alpha)-ETOs
Israfil Guseinov1, Ramazan Aydin, Bahtiyar Mamedov
1Department of Physics, Faculty of Arts and Sciences, Onsekiz Mart University, Canakkale, Turkey. iguseinov@cheerful.com
Journal of Molecular Modeling
|October 1, 2003
Summary
This study simplifies complex multicenter overlap integrals using specialized basis sets. The findings express these integrals using simpler two-center overlap integrals for easier computation.
Area of Science:
- Quantum Chemistry
- Computational Physics
Background:
- Accurate calculation of multicenter-multielectron integrals is crucial for molecular electronic structure.
- Existing methods can be computationally intensive, especially for complex potentials.
Purpose of the Study:
- To develop an efficient method for calculating multicenter overlap integrals.
- To express these integrals in a more manageable form.
Main Methods:
- Utilized complete orthonormal sets of psi(alpha)-exponentially transformed orbitals (ETOs).
- Applied these sets to evaluate multicenter overlap integrals for central and noncentral potentials.
Main Results:
- The final results are systematically expressed in terms of two-center overlap integrals between Slater-type orbitals (STOs).
- Demonstrated convergence of the series through calculations with arbitrary quantum numbers, screening constants, and STO locations.
Conclusions:
- The proposed method offers a computationally tractable approach to multicenter overlap integrals.
- This simplification aids in the evaluation of multicenter-multielectron integrals in quantum chemistry applications.