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The methods for evaluation of two center integrals by use of Slater functions originate from the time of desk calculators, although they were later adapted to computers. This paper gives an analytical treatment of these integrals, in preparation for a modern computer program. The sixfold two electron two center integrals require only one numerical integration in case of the exchange integrals, and in case of the Coulomb and hybrid integrals two numerical integrations are required. The one center integrals and all the one electron integrals are solved fully analytically. This makes the analysis and program logic more lucid.

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Berechnung von Eigensdiaften zweiatomiger Moleküle Ein- und Zweizentrenintegrale mit Slater-Funktionen / Calculation of Properties of Diatomic Molecules. One and Two Center Integrals Using Slater Type Orbitals