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  • Articles  (27)
  • Atomic, Molecular and Optical Physics  (27)
  • 1965-1969  (27)
  • 1
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 3 (1969), S. 79-92 
    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: The π-electron distributions, spin densities, and energies of the first triplets of the nucleotide bases, uracil, thymine, cytosine, adenine, and guanine, were investigated in various semiempirical approximations. Results are presented for calculations using the semiempirical form of the closed-shell SCF configuration interaction method, of the different orbitals for different spins (unrestricted Hartree-Fock) treatment, with and without spin projection, and of the Roothaan's open-shell procedure.
    Additional Material: 1 Ill.
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  • 2
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 3 (1969), S. 1013-1025 
    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: All-electron SCF-LCAO-MO computations for diazomethane, ketene and allene are presented. The basis functions are contracted Gaussian orbitals. Theoretical results are discussed and related to available experimental data.
    Additional Material: 3 Ill.
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  • 3
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 3 (1969), S. 149-167 
    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: The general formulas which are convenient for cluster analysis of a configuration interaction wave function are presented. These formulas are then used for cluster analysis of the “complete” configuration interaction wave functions of the π-electronic models of benzene and butadiene obtained with a semiempirical method of the Pariser-Parr-Pople type using three different parameterizations. For butadiene the calculations are carried out with Hückel, Hartree-Fock, and Brueckner molecular orbitals. The results clearly indicate that Sinanoǧlu's statement [1, 2], concerning the relative unimportance of the linked parts of the tetraexcited state coefficients in the ci expansion, is justified for these delocalized systems.
    Additional Material: 5 Tab.
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  • 4
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 3 (1969), S. 373-376 
    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
    Additional Material: 1 Ill.
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  • 5
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 3 (1969), S. 913-930 
    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: A theory for handling non-orthogonal radial orbitals of two shells of atomic electrons based on the mathematical apparatus of irreducible tensor operators is presented. The general expressions for one- and two-electron operator matrix elements are given.
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  • 6
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 2 (1968), S. 109-128 
    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'état fondamental des systèmes atomiques à deux électrons est décrit par des fonctions variationelles “échellonnées” de type \documentclass{article}\pagestyle{empty}\begin{document}$$ \phi _{\alpha k} = e^{ - (Z - 1 + e^{ - \alpha kr})kr} $$\end{document} et \documentclass{article}\pagestyle{empty}\begin{document}$$ \phi _{\beta \alpha k} = e^{ - (\beta + e^{ - \alpha kr})kr} $$\end{document} Le “scale factor” k a été introduit pour satisfaire au théorème du viriel. Sauf l'énergie totale, on a calculé les valeurs moyennes de plusieurs opérateurs à un électron. Ces résultats ont été comparés aux ceux obtenus avec d'autres fonctions variationelles.La fonction φαk déjà représente une bonne approximation de la solution Hartree-Fock, tandis qu'avec la fonction φβαk les résultats Hartree-Fock sont pratiquement reproduits.
    Abstract: Variationsfunktionen mit einem Koordinatenstreckungsfaktor k, von der Form \documentclass{article}\pagestyle{empty}\begin{document}$$ \phi _{\alpha k} = e^{ - (Z - 1 + e^{ - \alpha kr})kr} $$\end{document} und \documentclass{article}\pagestyle{empty}\begin{document}$$ \phi _{\beta \alpha k} = e^{ - (\beta + e^{ - \alpha kr})kr} $$\end{document} werden auf den Grundzustand atomarer Zweielektronensysteme angewendet. Der Faktor k wird eingeführt um dem Virialsatz zu befriedigen.Ausser der Energie werden Mittelwerte von mehreren Einelektronoperatoren berechnet und mit entsprechenden Resultaten für andere Variationsfunktionen verglichen.Die Funktion φαk schon representiert eine gute Annäherung zu der Hartree-Fock-Lösung, während mit der Funktion φβαk die Hartree-Fock-Resultate praktisch reproduziert werden.
    Notes: Scaled variational functions of the form \documentclass{article}\pagestyle{empty}\begin{document}$ \phi _{\alpha k} = e^{ - (Z - 1 + e^{ - \alpha kr})kr} $\end{document}, where Z is the nuclear charge and α is a parameter, and \documentclass{article}\pagestyle{empty}\begin{document}$ \phi _{\beta \alpha k} = e^{ - (\beta + e^{ - \alpha kr})kr} $\end{document}, where both α and β are parameters, are used for the description of the ground state of atomic two-electron systems in the independent particle model. The scale factor k has been introduced in order to satisfy the virial theorem.Apart from the energy, a number of one-electron expectation values have been calculated and the results are compared with those obtained from other variational functions.The function φαk yields already a good approximation to the Hartree-Fock solution whereas with the function φβαk the Hartree-Fock results are practically reproduced.
    Additional Material: 13 Tab.
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  • 7
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 2 (1968), S. 565-597 
    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: Les orbitales atomiques de valence (VAO) de plusieurs nitriles linéaires ont été déterminées à partir des fonctions d'onde SCF-LCAO-MO non-empiriques, qui ont été développées dans des bases atomiques de Slater minimales (CN-, HCN, FCN, C2N2), double-zéta (CN-, HCN) ou double-zéta plus polarisation (HCN). L'énergie moléculaire de chaque système (exception faite du système HCN à base double zéta plus polarisation) a été partitionnée selon le procédé de Ruedenberg pour obtenir des valeurs numériques des composants atomiques (C et N) et de liaison (C≡N) de l'énergie. Ces résultats pour les nitriles sont comparés avec des résultats pour des molécules diatomiques homonucléaires, des hydrides diatomiques et H2O, obtenus antérieurement par d'autres avec des bases AO minimales. Les données numériques sont employées pour discuter la consistance interne des définitions de la méthode de Ruedenberg, c'est-à-dire si des quantités analogues admettent des valeurs semblables dans des situations chimiques analogues ou non.Cette analyse des fonctions d'onde SCF-MO des nitriles s'avère comme une méthode pleine d'avenir pour extraire de l'information utile d'une fonction d'onde donnée. Les résultats numériques pour les système étudiés sont en général relativement consistants avec les concepts de la méthode de partition: promotion, interaction quasi-classique, “pénétration partagée”, “interférence partagée” et transfert de charge. I1 sera nécessaire, cependant, d'étudier les développements VAO pour plusieurs composants d'énergie et peut-ětre de les réviser.
    Abstract: Die atomaren Valenzorbitalen (VAO) mehrerer linearen Nitrilen wurden bestimmt. Die nötigen Funktionen sind non-empirische SCF-LCAO-MO- Wellenfunktionen, die in einem Minimalsatz (CN-, HCN, FCN, C2N2), einem “Doppelt-Zeta”-Satz (CN-, HCN) order einem “Doplett-Zeta”-Satz mit Polarisaton (HCM) mit von Staterschen Atomorbitalen entwickelt sind. Die molekulare Energie jedes Systems wurde gemäss der Ruedenbergschen Methode geteilt, m numerische Werte der atomaren (C und N) under Bindungs-Komponenten (C≡N) der Energie zu finden, Die Resultate wurden mit Resultaten anderer Forscher fär gleichkernige diatomische Molekäle, diatomische Hydriden und H2O, die mit minimalen Funktionssatzen erhalten worden waren, verglichen. Das numerische Material wurde benutzt um die innere Konsistenze der verschiedenen Definitionen der “Teilungsmethode” zu prüfen.Diese Analyse der Nitril-Wellenfunktionen scheint eine vielversprechende Methode für das Herausziehen nützliche Information von gegebenen Wellenfunktionen zu bieten. Im Allegemeinen sind die numerische Resultate der studierten Nitrilsysteme mit den Begriffen der “Teilungsmethode” ziemlich vereinbar.
    Notes: The valence atomic orbitals (VAO's) of several linear nitriles are determined using non-empirical SCF-LCAO-MO wave functions expanded in a minimal (CN-, HCN, FCN, C2N2), double-zeta (CN-, HCN), or double-zeta + polarization (HCN) basis of Slater atomic orbitals (AO's). The molecular energy of each system (except the double-zeta + polarization HCN system) is partitioned according to the procedure of Ruedenberg to obtain numerical values of nitrile C and N atomic and C≡N bond components of the energy. In addition, the nitrile results are compared with minimal AO basis results obtained previously by other authors for homonuclear diatomics, diatomic hydrides and H2O. The numerical data are used to test the internal self-consistency of the various definitions entering the partitioning method, i.e. whether or not analogous quantities assume similar values in chemically similar situations.The analysis of nitrile SCF-MO wave functions in terms of the set of VAO's characteristic of the system under consideration is shown to be a promising approach to the problem of extracting useful information from the wave functions. In general, numerical results for the nitrile systems studied are fairly consistent with the concepts on which the partitioning method is based: promotion, quasi-classical interaction, sharing penetration, sharing interference and charge transfer. However, the VAO expansions for several energy components need to be investigated further and possibly revised.
    Additional Material: 12 Tab.
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  • 8
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 2 (1968), S. 735-737 
    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
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  • 9
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 3 (1969), S. 249-267 
    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: Results obtained by various quantum-mechanical approaches in studying localized states on crystal surfaces are summarized and discussed. The one- and many-electron aspects of the problem are compared and shown to lead to similar results. Emphasis is laid upon localized chemisorption states on intrinsic semiconductors. The problem of the calculation of chemisorption heat on solid surfaces is also mentioned.
    Additional Material: 6 Ill.
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  • 10
    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: The electronic spectrum of biphenylene has been studied theoretically. The investigation is based on the semi-empirical LCAO SCF MO method with various degrees of approximations. The results have been analysed with regard to the following two factors: (a) The difference in effective electronegativity between the carbon atoms in the four-membered ring and the other carbon atoms in the molecule. (b) The inclusion of doubly excited configurations in the description of the π-electronic molecular states. The theory satisfactorily interprets the excitation energies and the nature of the electronic transitions. The predictions are particularly affected by the inclusion of the doubly excited configurations. On the basis of these results, the empirical parameters used are discussed.
    Additional Material: 4 Ill.
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