High-Speed, High-Precision Evaluation of Four-Electron Integrals.
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Our research focused on the numerical approximation of one-, two-, three-, and four-electron integrals. These integrals derived from Slater-type functions with inter-electronic dependence factors. Although numerical approximations exisit, their comutational efficiency is inadequate for any practical application. Therefore, our goal was to arrive at a quicker, more precise approximation; ideally a closed-form solution.