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  • Articles  (4)
  • Articles: DFG German National Licenses  (4)
  • Atomic, Molecular and Optical Physics  (4)
  • Chemistry and Pharmacology  (4)
  • Mathematics
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  • Articles  (4)
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  • Articles: DFG German National Licenses  (4)
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  • Chemistry and Pharmacology  (4)
  • Mathematics
  • 1
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 23 (1983), S. 789-809 
    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: Effective solutions for two difficulties which may be present in MCSCF calculation are discussed: (i) We show how the large configuration state function state expansion case may be handled simply and effectively without the introduction of extraneous projection operators or Lagrange multipliers; (ii) we present a simplified two-electron integral transformation procedure which significantly reduces the operation count (and hence computational efficiency is increased) for second order and particularly for third order MCSCF procedures. The procedures we introduce use some freedom available in the orthogonal complement Cl space and the virtual orbital space to simplify MCSCF calculations.
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 23 (1983), S. 959-971 
    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 linear, quadratic, and cubic response of a multiconfigurational Hartree-Fock state to a time independent one-electron perturbation has been derived. A comparison between the exact response functions as obtained from Rayleigh-Schrödinger perturbation theory and the multiconfigurational Hartree-Fock response functions allows a identification of matrix elements of the perturbation operator between the ground and excited states and between excited states. We discuss some ambiguities which result from such an identification.
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  • 3
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 24 (1983), S. 25-60 
    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: We discuss how the local convergence of Newton-Raphson and fixed Hessian MCSCF iterative models may be rationalized in terms of a total order of convergence in an error vector and a corresponding error term. We demonstrate that a sequence of N Newton-Raphson iterations has a total order of convergence of 2N and that a sequence of N fixed Hessian iterations has a total order of convergence of N + 1. We derive the error terms of a Newton-Raphson and a fixed Hessian sequence of iterations. We discuss the implementation of the fixed Hessian and the Newton-Raphson approaches both when linear and nonlinear transformations of the variables are carried out. Sample calculations show that insight into the structure of the local convergence of Newton-Raphson and fixed Hessian models can be based on an order of convergence and an error term analysis.
    Additional Material: 1 Ill.
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  • 4
    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: In this study, the techniques of computational chemistry were used to probe the origin of the differing pharmacological profiles found as a result of two simple modifications of the enkephalin analog Tyr-DAla-Gly-Phe-MetNH2: the presence or absence of N-methylation of Phe4 and of the Met5 residue. Although all four analogs have high μ-receptor affinity, their analgesic activity varies by a factor of 3000. Thus, they should share common determinants of μ-receptor recognition while differing in the ability to activate the receptor. To identify and characterize these determinants, a two-step procedure was used. In the first step, the energy conformational profile of each peptide was obtained. The strategy used involved the iterative calculation of molecular dynamics trajectories at high and low temperatures, coupled to energy minimizations, allowing a through sampling of conformational space. In the second step, low-energy conformers of the four peptides were examined for the extent to which they fulfilled the requirements for μ-receptor recognition recently developed for nonpeptide analogs. In these studies, the amine nitrogen, a second proton-accepting moiety, and an aromatic ring in a specific geometric arrangement were proposed as the minimum components of a μ-pharmacophore for recognition. For all four analogs, a unique low-energy conformer was found that contained these three recognition moieties in a geometric arrangement to interact with the same target binding site residues as in the nonpeptide analogs. These results are consistent with the finding of high affinity for all four peptides and provide common determinants of recognition of the μ-receptor by peptides and nonpeptides. When the four peptides were overlapped so that they could each interact with these three common recognition sites, the Phe4 aromatic side chain was found to be a possible modulator of activation. For the parent pentapeptide, Tyr-DAla-Gly-Phe-Met, with the lowest activity, there was poor overlap of the Phe4 aromatic ring with the same ring in the other three analogs. These results implicate the Phe4 ring in peptide activation of the μ-receptor. © 1993 John Wiley & Sons, Inc.
    Additional Material: 5 Ill.
    Type of Medium: Electronic Resource
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