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Self-consistent perturbation theory for conjugated molecules

I. General Theory and Method of Calculation

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Abstract

The theory of one-electron perturbations is developed in the context of the self-consistent LCAO treatment of molecular wavefunctions. A numerical method of calculating changes in the charge and bond order matrix due to one-electron perturbations is described. The method is used to compute self-consistent atom-atom polarizabilities for a number of conjugated hydrocarbons. The results are applied to spin-density calculations and to a discussion of chemical reactivity.

Zesummenfassung

Im Rahmen des SCF-LCAO-Verfahrens wird eine Einteilchen-Störung behandelt and ein numerisches Verfahren zur Berechnung der Änderung der Matrix der Bindungsordnung angegeben. In der vorliegenden Arbeit wird diese Methode benützt, um Atom-Atom-Polarisier-barkeiten und Spindichten für eine Anzahl von Kohlenwasserstoffen zu berechnen sowie ihre chemische Reaktivität zu diskutieren.

Resume

La théorie des perturbations monoélectroniques est developpée au contexte du procédé LCAO autocohérent de fonctions d'ondes moléculaires. On décrit une méthode numérique pour le calcul de changements dans la matrice de charge et d'ordre de liaison dûs aux perturbations monoélectroniques. Suivant cette méthode sont calculées les polarisabilités atome-atome autocohérentes pour un nombre d'hydrocarbures conjugués. A l'aide des résultats on calcule des densités de spin, et discute la réactivités chimiques.

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Amos, A.T., Hall, G.G. Self-consistent perturbation theory for conjugated molecules. Theoret. Chim. Acta 5, 148–158 (1966). https://doi.org/10.1007/BF01138857

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  • DOI: https://doi.org/10.1007/BF01138857

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