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Viscoelastic Response of Micelles with Chemically Cross-linked Cores<br />
Pamvouxoglou A. 1,2* , Van Ruymbeke E. 2 , Petekidis G. 1,2 , Vlassopoulos D. 1,2 , Mountrichas G. 3 and Pispas S. 3<br />
1 University of Crete, Department of Materials Science & Technology, Heraklion, Crete, Hellas<br />
2 Foundation for Research & Technology, Institute of Electronic Structure & Laser, Heraklion, Crete, Hellas<br />
3 Theoritical & Physical Chemistry Institute, National Hellenic Research Foundation, Athens, Hellas<br />
*pamvou@iesl.forth.gr<br />
The past decades, a lot of progress has been made in the understanding of the viscoelastic behaviour of concentrated polymer<br />
solutions and colloidal suspensions. Besides these two classes of materials, there exist intermediate situations which combine<br />
the existence of topological constraints and long-range interactions, leading to a different behaviour. Block copolymer<br />
micelles are a popular representative. Understanding the consequences of the interplay between polymer-like and colloid-like<br />
behaviour on the dynamic properties is of the great importance for the design of materials with desired properties. In the last<br />
few years there has been a lot of effort in characterizing suspensions of star-like micelles with a responsive fixed core which<br />
is chemically cross-linked. The reason is that solvent quality or temperature plays an important role in the dynamics and<br />
rheology of such soft colloids. By changing the quality of the solvent we can have in situ variation of the core size through an<br />
appropriate choice of the solvent and/or temperature [1]. Responsive cores alter the static and dynamic properties of the<br />
colloidal suspensions in a controlled way. In this work we investigated micelles with a fixed core (via crosslinking) which<br />
exhibits the above mentioned responsiveness while the system remains stable.<br />
A highly asymmetric PS – PI block copolymer micelle consisting of polyisoprene (9% PI) cross-linked core and<br />
polystyrene (91% PS) hairs (shell) was used as model responsive soft colloids, where the core swelling can be tuned by<br />
changing solvent quality [1]. Dynamic and static light scattering measurements were used to study the dynamics of the<br />
micelles and the size. The study was carried out in dioctyl – phthalate (DOP) which is theta for polystyrene at 22 o C [2] and<br />
for polyisoprene at 25 o C [3]. The effect of DOP solvent in our system was to swell the micelle up to 170 nm at 80 o C when at<br />
20 o C is almost 95 nm.<br />
Our primary goal was to investigate the concentration and temperature dependence of the linear viscoelastic<br />
properties. Specifically we investigated the dependence of the relative on the effective volume fraction in good solvent and<br />
compared it with linear and star polymers. Below 10% wt our system exhibited a liquid-like (Newtonian) behavior and as the<br />
concentration increased (20% wt) it became viscoelastic (see figure 1). Evidence of core deswelling is found in the nonmonotonic<br />
dependence of the relative viscosity with the effective volume fraction. The response of these micelles with long<br />
hairy corona was dominated by their polymeric nature (see figure 2). The dependence of the relative viscosity on φ eff was<br />
different depending on whether it was tuned by increasing the temperature or by increasing the mass concentration,<br />
suggesting that the micelles have different effective interactions in the two cases.<br />
G' ( ) , G" ( ) (Pa)<br />
10 3<br />
10 2<br />
10 1<br />
10 0 Concentration<br />
20 % wt<br />
2.65 % wt<br />
10 -1<br />
η 0<br />
/η s<br />
T 3<br />
PMMA in Decalin (640 nm)<br />
T<br />
10 5 Star 32/80<br />
2<br />
Star 64/07<br />
Star 128/07<br />
10 4 Star 128/80<br />
linear polymer<br />
Eintein's equation<br />
10 3 1 % wt<br />
2,65 % wt<br />
5.08 % wt<br />
10 2 10.2 % wt<br />
20 % wt<br />
10 1<br />
T 1<br />
10 -2<br />
10 -2 10 -1 10 0 10 1 10 2<br />
ϖ (rad/s)<br />
10 0<br />
10 -1 10 0 10 1<br />
φ eff<br />
=c/c*<br />
Figure 1: Dynamic frequency sweep tests at 2 different<br />
concentrations (2.65% and 20% wt) at 20 o C for PS-PI.<br />
All strains are in the linear regime.<br />
Figure 2: Relative viscosity with the effective volume<br />
fraction for spheres, stars, linear polymers and star-like<br />
micelles. Our experimental data from PS-PI are with red<br />
color. T 1 , T 2 , and T 3 are the temperatures 20 o , 35 o and<br />
50 o C respectively.<br />
149