Macromolecules, Vol.28, No.13, 4455-4463, 1995
Excluded-Volume Effects on the Transport-Coefficients of Oligo(Dimethylsiloxane) and Poly(Dimethylsiloxane) in Dilute-Solution
The translational diffusion coefficient D and intrinsic viscosity [eta] of oligo- and poly(dimethylsiloxane)s (PDMS) were determined in toluene at 25.0 degrees C in the range of weight-average molecular weight M(w) from 1.08 x 10(3) to 1.12 x 10(6) for the former and from 5.33 x 10(2) to 1.12 x 10(6) for the latter. The hydrodynamic- and viscosity-radius expansion factors alpha(H) and alpha(eta) were then determined from the values of the hydrodynamic radius R(H) defined from D and those of [eta] corrected for the specific interaction between polymer and solvent molecules, respectively, with the use of the corresponding values. of R(H,0) and [eta](0) for the unperturbed PDMS chain in toluene at 25.0 degrees C. Here, the latter values were obtained by multiplying the previous values of R(H,Theta) and [eta](Theta) in bromocyclohexane at Theta by respective proper factors that take account of the solvent dependence of the-bead diameter and may be calculated by the use of the helical wormlike (HW) chain theory. The results show that both alpha(H) and alpha(eta) become functions only of the scaled excluded-volume parameter (z) over tilde defined in the Yamakawa-Stockmayer-Shimada theory for the HW chain with excluded volume, being consistent with the previous results for atactic polystyrene. This implies that the quasi-two-parameter scheme may be valid for alpha(H) and alpha(eta) irrespective of the differences in polymer species and solvent condition and, moreover, that there is no draining effect on alpha(H) and alpha(eta), although it is significant for the unperturbed PDMS chain. It is again found that the Barrett equation overestimates alpha(H). This disagreement between theory and experiment may be semiquantitatively explained by the Yamakawa-Yoshizaki theory, which takes account of the possible effect of fluctuating hydrodynamic interaction on alpha(H).
Keywords:HELICAL WORMLIKE CHAINS;TRANSLATIONAL DIFFUSION-COEFFICIENT;TOUCHED-BEAD MODEL;INTRINSIC-VISCOSITY;STATISTICAL-MECHANICS;POLYSTYRENES;POLYMERS;SILOXANES);STYRENE