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  • 1
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The first order dimer model made by Stiles and Buckingham for predicting optical activity has been extended up to an infinite order N-mer model within the framework of the Fano–DeVoe type dipole approximation. The present formalism involves four mechanisms (1) the Kirkwood–Moffitt coupled oscillator mechanism through the Coulombic interactions; (2) the local asymmetric mechanism due to the intrinsic monomer optical activity; (3) the indirect electric–magnetic coupling mechanism through the Coulombic interactions; (4) the Condon, Alter, Eyring (CAE) direct electric–magnetic coupling mechanism through the electrostatic interactions between the upper to upper state transition moments on a certain site and the permanent dipole moments on the other sites. However, mechanism (4) must be excluded if we follow the Fano–DeVoe approximation, whereas it is indispensable for circular dichroism (CD) calculations of polypeptides to incorporate the CAE electric–magnetic coupling mechanism. This requirement is attained by assuming the intra-amide monomer intensity borrowing of the very weak 210 nm region nπ* state from the strong 190 nm region ππ* state through the CAE electrostatic interactions on the basis of the Schellman–Oriel perturbation equation and the Bayley–Nielsen–Schellman secular matrix theory. The present theory has particularly well predicted the CD band shapes of α-polypeptides even with the dipole approximation. The contributions due to the asymmetric fields have been found to become specifically large, while the coupled oscillator mechanism has been calculated to be a leading term.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical chemistry accounts 19 (1970), S. 381-383 
    ISSN: 1432-2234
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The ground state π-electronic angular momenta of the benzene anion and cation are calculated by the MC LCAO MO method which includes an optimum configuration interaction. Calculated values are ±1.03 ℏ for the anion and ±0.74 ℏ for the cation, while those obtained by the usual SCF without CI method are ±1.07 ℏ and ±0.78 ℏ, respectively.
    Type of Medium: Electronic Resource
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  • 3
    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 multi-configuration LCAO-MO approach using a π-bond order-bond length linear relation is introduced to predict the geometrical structures for the electronic ground and excited states of unsaturated hydrocarbons. The procedure is designed to include configuration interaction in each iterative computation where the π-electron approximation is employed under the Pariser-Parr type semi-empirical treatment.The π-bond order-bond length relation is determined as rpq = 1.523 - 0.193Ppq, when the bond lengths of ethylene, benzene and naphthalene are used and the groundstate functions including the singly and doubly excited configurations are taken into account to obtain the bond orders Ppq.The iterative calculation is applied to the ground state and the two lowest excited states of the benzene anion in both D6h and D2h molecular geometries. The geometrical structures and the π-electron energies are computed for the ground and excited states of the anion; for the latter, two types of configuration species are used. It is found that the first lowest excited state is not subjected to the Jahn-Teller effect and the calculated excited state energies do not agree with the observed values (c. 1.0 ∼ 2.5 eV higher than the observed values). The latter point is discussed in detail. It is also found that the resultant ground state energy depression due to configuration mixing is not very large and the two types of configuration species used give different CI effects on the energy levels of the two lowest excited states of the anion.Finally, the stabilization energy due to the Jahn-Teller distortion is estimated for the ground state of the anion.
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 13 (1978), S. 199-206 
    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: It is shown that application of the orthonormality-constrained variation method to the absolute squares of three kinds of overlap integrals leads to eigenvalue equations and of which the eigenvectors belonging to maximum (minimum) eigenvalues are the maximum (minimum) overlap, localized, and hybrid orbitals. In the eigenvalue equations, coupling operators similar to those used in SCF theory are found to occur. Connection of the maximum orbitals to a many-shell model, a simple MO theory, and Löwdin's orthonormalization is also discussed.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 26 (1984), S. 153-159 
    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: Ab initio crystal orbital calculations with extended basis sets and model potentials are performed for one-dimensional periodic systems. The results of restricted Hartree-Fock-type calculation for all-trans polyacetylene (CH)n and linear and bent hydrogen-bonded poly(hydrogen fluoride) (HF)n are mainly reported. The results, in particular total energies per unit cell, are shown to be much more dependent upon the basis sets than on the method of lattice-sum truncation, number of k points, or order of neighbor interactions.
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 8 (1974), S. 765-775 
    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 method of orthonormality-constrained variation is extended using a dual-basis set instead of a single orthonormal basis. The complete and the partial variation methods are discussed and applied to electronic systems. It is found that the present formulation leads to the most general equation in the coupling operator method.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 37 (1990), S. 485-495 
    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: It is nearly 40 years since the PPP method was proposed, and we demonstrate here that the method is still active in studying the electronic structures of very large conjugated systems and/or periodic systems. The kink (solition) problems in polyacetylene are solved with the UHF-PPP Hamiltonian, demonstrating that there appear several new features which have not been obtained without considering the interelectronic interactions of the PPP type. Next, the electron correlation effect in polyacetylene is discussed through the crystal orbital-PPP CI calculations. Finally, three-dimensional crystal orbital-CNDO calculations on graphite and black phosphorus are reported.
    Additional Material: 10 Ill.
    Type of Medium: Electronic Resource
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  • 8
    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 method of the MC-LCAO-MO approach, described in the preceding paper, is further applied to the benzene cation. Through the iteration process the π-electron energies and the molecular shapes are computed for the ground and two lowest excited states of the cation in both D6h and D2h geometries. A remarkable fact obtained is that a comparatively small variation of the geometrical structure (c. 0.010 - 0.013 Å bond length difference) brings about a considerable change of the energy value (c. 0.85 - 1.25 eV).The π-electronic excitation energies obtained from the iteration process are compared with the transition energies calculated from the usual method in which the structures of the excited states are assumed to be the same as the corresponding ground state structures. The difference in the excitation energy between the cation and the anion, and the CI effect on the excited states, are discussed. It is found that the doubly excited configurations play an important role in CI, which is somewhat different from that of the singly excited configurations. The stabilization energy due to the Jahn-Teller distortion is estimated for the ground state of the cation.
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 2 (1968), S. 5-21 
    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: On a étudié la structure électronique du cation de la proflavine par la méthode SCF-ASMO-CI avec les approximations de Pariser-Parr-Pople. On démontre que la bande à 445 mμ peut ětre attributée à la transition 1A1 → 1B1 polarisée le long de l'axe long de la molécule. Les bandes au voisinage de 260 mμ, qui sont composées de trois bandes d'absorption, sont attribuées à l'essai aux transitions 1A1 → 1B1, 1B1 → 1B1, et 1A1 → 1A1.Il est bien connu que la dimérisation des cations des acridines colorées varie avec la concentration. Les distances intermoléculaires dans ces dimères ont été estimées des déplacements des bandes provenant de la formation des dimères. On démontre que la contribution essentielle de l'interaction moléculaire est l'interaction électrostatique dipǒle-dipǒle.En employant ces résultats-ci on discute certains modèles pour la liaison entre l'ADN et les acridines colorées.
    Abstract: Die Elektronstruktur des Proflavinkations wurde mit der SCF-ASMO-CI Methode und den Pariser-Parr-Pople Approximationen untrsucht. Es wird gezeigt dass das Band an 445 mμ dem 1A1 → 1B1-Übergang, der längs der Molekülachse polarisiert ist, zugeschrieben werden kann. Die Bänder in der Nachbarschaft von 260 mμ, die aus drei Absorptionsbänder bestehen, werden versuchsweise den 1A1 → 1B1, 1A1 → 1B1, und 1A1 → 1A1-Übergänge zugeschrieben.Es ist wohlbekannt, dass die Dimerisation der Akridinfarben mit det Konzentration wechselt. Die Intermolekularabstände in diesen Dimeren wurden von den Bandenverschie-bungen abgeschätzt. Es wird gezeigt, dass der Hauptbeitrag zur molekularen Wechselwirkung die elektrostatische Dipol-Dipolwechselwirkung ist.Von der Standpunkt dieser Resultate aus, wurden gewisse Modellen für die Bindung zwischen die DNA-Moleküle und die Akridin-Farben diskutiert.
    Notes: The electronic structure of the proflavine cation is studied by the SCF-ASMO-CI method using the Pariser-Parr-Pople approximations. It is shown that the band at 445 mμ may be assigned to the 1A1 → 1B1, transition polarized along the long axis of the molecule. The bands in the neighbourhood of 260 mμ, which are composed of three absorption bands, are tentatively assigned to the 1A1 → 1B1, 1A1 → 1B1, and 1A1 → 1A1 transitions, respectively, in order of decreasing wavelength. The spectrum of the acridine orange cation may be understood to have the same assignment as that of the proflavine cation.The acridine dye cations are well known for their dimerization with concentration. The intermolecular distances in these dimers are estimated from the band shifts due to the formation of dimers, using the exciton theory. The main contribution to the molecular interaction is shown to be the electrostatic dipole-dipole interaction.Since the first excitation band of the dye molecule which exhibits a remarkable change due to the formation of the DNA-acridine dye complex, is suggested to be polarized along the long axis, preference of the outside stacking or the intercalation model is qualitatively discussed from the spectral shift of the acridine dye bound to the DNA, assuming simple models.
    Additional Material: 8 Ill.
    Type of Medium: Electronic Resource
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