Transport Coefficients of Helical Wormlike Chains. 3. Intrinsic Viscosity
摘要:
The intrinsic viscosity of the helical wormlike chain is evaluated by an application of the Oseen-Burgers procedure of hydrodynamics to the cylinder model with the preaveraged Oseen tensor. The end effect is however taken into account in such a way that as the chain length is decreased, the Oseen-Burgers solution for the long chain joins with the exact solution obtained previously for the spheroid-cylinder, i.e., a straight cylinder with oblate, spherical, or prolate hemispheroid caps at the ends. The numerical solutions of the integral equation are obtained by means of effective maneuvers. A useful empirical interpolation formula is also presented to be valid for arbitrary contour length and for any possible values of the model parameters. Some salient aspects of the behavior of the intrinsic viscosity are then discussed on the basis of the numerical results. Finally, an analysis of experimental data is made for the intrinsic viscosity, sedimentation coefficient, and mean-square radius of gyration for poly(phthaloyl-trans-2,5-dimethylpiperazine) (PPDP), poly(terephthaloyl-trans-2,5-dimethylpiperazine) (PTDP), cellulose acetate, and amylose. It is concluded that PPDP, cellulose acetate, and amylose in dimethyl sulfoxide may be represented by the helical wormlike chains, but PTDP may be represented by the ordinary wormlike chain.
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DOI:
10.1021/ma60075a029
被引量:
年份:
1980
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