ABSTRACT:Viscoelastic properties of concentrated solutions of a mixture of three-and fourbranched polystyrenes were measured by means of a concentric cylinder type rheometer. The Vogel parameters, IXr and T0 , were calculated from the temperature dependence of viscosity and the shift factor aT. From the frequency dependence of the storage shear modulus G' and the loss modulus G ",the characteristic parameters in the terminal zone such as zero-shear viscosity 1' /o and steadystate compliance J, 0 were evaluated. The dependence of these parameters on concentration was compared with that of concentrated solutions of linear polystyrenes. The concentration dependence of170 for star polymers is very similar to that for linear ones. However, J, 0 for the mixture of threeand four-branched polystyrenes showed unusual behavior that was quite different from that oflinear polymer and monodisperse star polymer. The entanglement compliance is also discussed.KEY WORDS Viscoelasticity I Polystyrene I Branched Polymer I Viscosity I Steady-State Compliance I Vogel Parameters I Concentration Dependence I In our previous papers, the rheological properties in the rubbery and flow regions of concentrated solutions and melts of star-shaped polystyrene mixtures1·2 and randomly branched polystyrenes 3 were investigated. In these experiments, we noted the unusual behavior that the steady-state compliance J. 0 of concentrated solutions of mixtures of threeand four-branched polystyrenes is much lower than those of the undiluted ones. 1 Moreover, 1. 0 for 90 wt% solutions was independent of molecular weight, but that of 50 wt% solutions proportionally increased with molecular weight in the entanglement region. 2 This behavior of 1. 0 observed for mixtures 2 is quite different from that for linear polymers 4 -9 and also from star-shaped polymers with no distribution in the number and length of branches. 10 -17 ture T0 , temperature coefficient of free volume IXr, zero-shear viscosity 1] 0 , and steady-state compliance J. 0 . The experimental results were compared with those for concentrated solutions of linear polystyrenes.9·17In the present paper, the dynamic viscoelastic properties for concentrated solutions of mixtures of three-and four-branched star polystyrenes have been measured to determine the concentration dependence ofparameters 5 such as the Vogel tempera-* Rheologicai Properties of Anionic Polystyrenes. X.
EXPERIMENTAL
MaterialsOne (LB17) of the star-shaped polystyrene samples used in a previous study, 1 which was a mixture of three-and four-branched polymers, was taken for this study.preparative procedure of this star polystyrene is the same as that described before 1 · 2 and was not repeated. The gel permeation chromatograms and the sedimentation patterns of this sample were also similar to those reported in the previous paper. 2 For comparison, a narrow-distribution linear polystyrene sample L50 was also examined. 17 The weight-and number-average molecular weights, M wl Mn, and the coupling ratio P (the ratio of Mn of the star...