OEP calculations using Slater-type basis functions: atoms and diatomic molecules

TL;DR

This paper implements the exchange-only optimized effective potential method using Slater-type basis functions, demonstrating computational advantages and improved efficiency over traditional Gaussian basis set methods in atomic and diatomic molecule calculations.

Contribution

It introduces a Slater-type basis function approach for OEP calculations, offering a more compact representation and computational savings compared to Gaussian basis sets.

Findings

More compact potential representation with Slater-type basis

Significant computational savings over Gaussian basis methods

Results closely match numerical solutions and traditional methods

Abstract

The exchange-only optimized effective potential method is implemented with the use of Slater-type basis functions, seeking for an alternative to the standard methods of solution with some computational advantages. This procedure has been tested in a small group of closed shell atoms and diatomic molecules, for which numerical solutions are available. The results obtained with this implementation have been compared to the exact numerical solutions and to the results obtained when the optimized effective equations are solved using the Gaussian-type basis sets. This Slater-type basis approach leads to a more compact expansion space for representing the potential of the optimized effective method and to considerable computational savings when compared to both the numerical solution and the more traditional one in terms of the Gaussian basis sets.