Scattering Function of Self-Avoiding Chain (n=0 Vector Model); Calculation and Experiments

  • Shinbo Kazuyuki
    Department of Polymer Science, Faculty of Science, Hokkaido University
  • Miyake Yasuhiro
    Department of Polymer Science, Faculty of Science, Hokkaido University

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  • Scattering Function of Self Avoiding Ch

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Using a new method to study a self-avoiding walk problem developed by de Gennes and des Cloizeaux, scattering functions in small and large angular regions are calculated with an assumption that a subchain in a single chain and a full chain with same steps have a same probability density for correlation. They are compared with experimental results. The result obtained in polystyrene (P.S.)-M.E.K. solution which has a small excess free energy does agree well with the function in small angular region, but the result obtained in P.S.-benzene solution which is thermodynamically good solution does not. On the other hand, the scattering function in large angular region has a dependence of k−3.3, which is similar to a dependence of k−4 of two phase model in a porous granule, although the results published so far do not agree with this dependence.

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