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xxiii πανελληνιο συνεδριο φυσικης στερεας καταστασης & επιστημης ...

xxiii πανελληνιο συνεδριο φυσικης στερεας καταστασης & επιστημης ...

xxiii πανελληνιο συνεδριο φυσικης στερεας καταστασης & επιστημης ...

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In contrast to this system, a similar soft copolymer micelle PS – PB with polybutadiene core (56% PB) and<br />

polystyrene corona (44% PS) in DBP solvent exhibits the same behaviour in the size dependence with the temperature but the<br />

viscoelastic properties are different. The size can be tuned from 45 nm up to 100 nm as the temperature goes from 20 to<br />

90 o C. The solvent is dibutyl-phthalate which is theta for polystyrene at 22 o C and for polybutadiene at 90 o C. In particular, an<br />

initial viscosity increase with temperature was attributed to the swelling of the core and thus, to an increase of inter-particles<br />

interactions. For concentrations above the overlapping limit, we observed a solid-to-liquid transition followed by a liquid-tosolid<br />

transition by further increasing the temperature. Then, for still higher concentrations, the system vitrified (see Figure 3).<br />

For such a system, both the mass concentration and the temperature increase yielded a larger effective volume fraction and<br />

thus induced a kinetic arrest. On the other hand, as observed for the PS-PI block copolymer micelles, master-curves of the<br />

relative zero-shear viscosity versus the effective volume fraction could not be obtained, pointing again to the quantitative<br />

different effect of mass concentration and temperature on the system’s response (see Figure 4).<br />

G' ( ) , G" ( ) (Pa)<br />

10 3<br />

10 2<br />

10 1<br />

10 0<br />

10 -1<br />

Concentrations<br />

8 % wt<br />

24 % wt<br />

η 0<br />

/η s<br />

PMMA in Decalin (640 nm)<br />

Star 32/80<br />

Star 64/07<br />

10 3 Star 128/07<br />

Star 128/80<br />

linear polymer<br />

Eintein's equation<br />

2.1 % wt<br />

10 2 4.2 % wt<br />

8.05 % wt<br />

12.1 % wt<br />

14.19 % wt<br />

15.31 % wt<br />

10 1<br />

T 1<br />

T 2<br />

T 3<br />

10 -2<br />

10 4 ϖ (rad/s)<br />

10 -2 10 -1 10 0 10 1 10 2<br />

10 0<br />

10 -1 10 0<br />

φ eff<br />

=c/c*<br />

Figure 3: Dynamic frequency sweep tests at 2 different<br />

concentrations (8% and 24% wt) at 20 o C for PS-PB. All<br />

strains are in the linear regime.<br />

Figure 4: Relative viscosity with the effective volume<br />

fraction for spheres, stars, linear polymers and star-like<br />

micelles. Our experimental data from PS-PB are with red<br />

color. T 1 , T 2 , and T 3 are the temperatures 20 o , 30 o and<br />

50 o C respectively.<br />

[1] B. Loppinet et al. , Macromol. Chem Phys. , 2005 , 206 , 163<br />

[2] M.J. Solomon , S.J. Muller , Journal of Polymer Science: Part B: Polymer Physics , Vol. 34 , 181 , 1996<br />

[3] X. Jin , T.P. Lodge , Rheol. Acta , 36:229 ,1997<br />

150

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