Abstract
Studies of truncated expansions of Slater s-orbitals, in terms of associated Laguerre functions and spherical harmonics at another center, are carried out. The possibility of using such an expansion to calculate many-center molecular integrals is considered. The procedure is applied to solve three-center nuclear attraction integrals; it is shown that in some cases this expansion can provide relatively good results.
Résumé
On étudie des développements tronqués d'orbitales s de Slater, en série de fonctions associées de Laguerre et d'harmoniques sphériques centrés en un autre point. On examine les possibilités d'employer ce genre de développement dans le calcul des intégrales moléculaires polycentriques. On applique le procédé à la résolution des intégrales tricentriques d'attraction nucléaire et l'on montre que dans certains cas cette expansion peut conduire à des résultats relativement bons.
Zusammenfassung
Slater-s-Orbitale werden an einem anderen Zentrum in Reihen von Produkten aus Kugelfunktionen und zugeordneten Laguerreschen Funktionen entwickelt. Untersucht wird die Konvergenz der Reihen und ihre Eignung zur Berechnung von Mehrzentren-, insbesondere von Dreizentren-Kernwechselwirkungs-Integralen. Die Ergebnisse sind zum Teil recht gut.
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A preliminary report of this work was read at the XII. meeting of the “Real Sociedad Española de Física y Química”, Salamanca, June 1965.
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Smeyers, Y.G. About evaluation of many-center molecular integrals. Theoret. Chim. Acta 4, 452–459 (1966). https://doi.org/10.1007/BF00536421
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DOI: https://doi.org/10.1007/BF00536421