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  • 1995-1999  (2)
  • 1975-1979
  • Electropolymerization  (1)
  • Numerical Methods and Modeling  (1)
  • 1
    ISSN: 1572-9001
    Keywords: Electropolymerization ; frontier orbital modeling ; poly(dialkoxybenzene)s ; conductive polymers
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract A modeling strategy, based on (i) quantum semiempirical calculation of the electronic structure of the successive intermediate oligomers and (ii) evaluation of the activation energy of the successive coupling reactions by use of the frontier orbital model, has been used to study the growth of a wide set of conductive polymers and is illustrated with poly(1,2-dialkoxybenzene) and poly(1,4-dialkoxybenzene) generated by electrochemical oxidation of the corresponding monomer. These monomers have been chosen because they are known to yield polymers of completely different structures. The strategy, which is designed to be as little computer time-consuming as possible, allows us to predict a growth trend in agreement with the structure inferred from spectrochemical experiments. In the case of poly(1,2-dialkoxybenzene) it suggests the formation of a cyclic tetramer as a byproduct detected in small quantities by means of MALDI spectroscopy. This modeling strategy allows one to describe the electronic modifications induced by the growth of a highly conjugated structure. It suggests that oxidation of the successive oligomers at high doping level and quinonic deformation are key factors for the growth of long and regular polymer structures
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    Communications in Numerical Methods in Engineering 13 (1997), S. 139-149 
    ISSN: 1069-8299
    Keywords: parametric optimization ; finite difference method ; gradient method ; composite structures ; sport equipment ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper describes the implementation of a parametric optimization process in the field of composite structure design. The application concerns alpine skis. Using a reference ski, the process enables the calculation of the optimum shapes for a complete range of skis and checks their behaviour on snow. The objective function is formulated as a least-squares problem involving nine static bending flexibilities of the ski, considered as a simply-supported beam on nine predetermined spans. The composite cross-section properties and the longitudinal profile of the structure are taken into account in a parametric geometry approach. After the homogenization process, integration of the bending equation is carried out using a finite difference approach. The line search procedure uses the gradient method and the descent parameter optimization is carried out using an adapted linear approximation. The discussion of the results highlights the satisfying compromise between precision and calculation time. The procedure constitutes an original implementation of numerical methods in the area of sports equipment. © 1997 John Wiley & Sons, Ltd.
    Additional Material: 6 Ill.
    Type of Medium: Electronic Resource
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