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  • 1
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 2 (1968), S. 801-805 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: L'approximation d'une combinaison linéaire des orbitales de Slater en termes de fonctions Gaussiennes est un problème d'optimisation multi-paramétrique. On présente des formules pour l'évaluation du gradient de recouvrement dans un espace paramétrique, et une méthode alternative pour l'évaluation du gradient, qui posséde une application générale. Cette technique permet l'évaluation exacte d'une dérivée sans dérivation et programmation de son expression analytique.
    Abstract: Die Entwicklung der Gaussfunktionen einer Linearkombination von Slaterfunktionen ist eine Optimalisierungsproblem von manchen Parametern. Ausdrücke für die Berechnung des Gradients der Überlappungsintegrale in einem Parameterraum werden hier angegeben. Eine andere Methode der Berechnung des Gradients, die allgemeine Anwendbarkeit besitzt, wird auch beschrieben. Diese Technik lässt die exakte Berechnung einer Ableitung zu, ohne seinen analytischen Ausdruck zu derivieren und programmieren.
    Notes: The approximation of a linear combination of Slater-type orbitals in terms of Gaussian functions is a many-parameter optimization problem. Formulas for computation of the gradient of the overlap in parameter space are reported. An alternative method of computing the gradient is described, which is of general applicability. This technique permits the exact evaluation of a derivative, without derivation and programming of its analytic expression.
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Several classes of functions related to the Gaussian have been used with success as basis sets for the representation of atomic and molecular orbitals.We have compared the representation of a hydrogen 1s orbital by a sum of Gaussian lobe functions with its expansion in eigenfunctions of the three-dimensional isotropic harmonic oscillator. The lobe functions are shown to achieve better expectation values of the energy, with fewer terms. The lobe functions have the further computational advantage of not containing high powers of the radius.It is concluded that the lobe functions are a superior basis set for use in calculations of the electronic structure of atoms and molecules.
    Additional Material: 2 Tab.
    Type of Medium: Electronic Resource
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