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142 Advances in Polymer Science Editorial Board: A. Abe. A.-C ...

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116 N. Hadjichristidis, S. Pispas, M. Pitsikalis, H. Iatrou, C. Vlahos<br />

ly(isoprene) stars, <strong>in</strong> order to study the crossover from l<strong>in</strong>ear to branched polymer<br />

relaxation dynamics <strong>in</strong> highly entangled melts. The molecular weight of the<br />

two equal arms, constitut<strong>in</strong>g the l<strong>in</strong>ear backbone was ~38 times larger than M e ,<br />

the critical molecular weight for entanglements, where the M w of the third arm<br />

was varied between 0.5 M e and 18 M e . Dynamic moduli were measured <strong>in</strong> shear<br />

over a wide range of frequencies and temperatures. Time-temperature superposition<br />

was observed for all samples. However, <strong>in</strong> the branched samples a significantly<br />

larger modulus shift was required than <strong>in</strong> the l<strong>in</strong>ear ones. The shift factor<br />

for the time scale depended more strongly on temperature for the asymmetric<br />

stars. The viscosity, h o , <strong>in</strong>creased by nearly a factor of three go<strong>in</strong>g from the l<strong>in</strong>ear<br />

backbone sample to the sample with the shortest arm. The change <strong>in</strong> recoverable<br />

compliance across the series was much smaller than the change <strong>in</strong> viscosity. The<br />

diffusion coefficient, determ<strong>in</strong>ed by forward recoil spectroscopy, decreases even<br />

more rapidly. For a sample with only 2.2 entanglements on the third arm D was<br />

reduced by a factor of 100. The transition from l<strong>in</strong>ear to branched dynamics<br />

could be seen more clearly <strong>in</strong> the product h oD. It was concluded that even a s<strong>in</strong>gle<br />

mid-backbone arm with two to three entanglements is quite sufficient to<br />

generate a branched polymer relaxation behavior.<br />

Much experimental work has appeared <strong>in</strong> the literature concern<strong>in</strong>g the microphase<br />

separation of miktoarm star polymers. The issue of <strong>in</strong>terest is the <strong>in</strong>fluence<br />

of the branched architectures on the microdoma<strong>in</strong> morphology and on<br />

the static and dynamic characteristics of the order-disorder transition, the ultimate<br />

goal be<strong>in</strong>g the understand<strong>in</strong>g of the structure-properties relation for these<br />

complex materials <strong>in</strong> order to design polymers for special applications.<br />

In the first sem<strong>in</strong>al morphological study of A 2 B miktoarm stars [81] where A<br />

and B are PS or PI, by Hadjichristidis and collaborators, an SI 2 sample with<br />

37 vol.% PS was found, by TEM, to be microphase separated as PS cyl<strong>in</strong>ders <strong>in</strong><br />

PI matrix <strong>in</strong> contrast to a lamellae structure expected for l<strong>in</strong>ear diblock copolymer<br />

of the same composition. Later, more thorough studies [23, 82, 83] with a<br />

larger number of samples and cover<strong>in</strong>g a wider range of compositions showed<br />

that differences exist <strong>in</strong> the phase diagram for miktoarm star copolymers <strong>in</strong><br />

comparison to the l<strong>in</strong>ear diblocks. The boundaries for the microstructures usually<br />

encountered <strong>in</strong> diblocks are shifted to higher compositions of the s<strong>in</strong>gle<br />

arm. At constant composition the miktoarm star copolymer has a morphology<br />

with greater curvature than the diblock. This provides a means of reliev<strong>in</strong>g overcrowd<strong>in</strong>g<br />

of the A 2 component and overstretch<strong>in</strong>g of the B component of the<br />

miktoarm star. Analogous shifts were also observed <strong>in</strong> the case of A 3B (A=PI and<br />

B=PS) miktoarm stars [83]. These f<strong>in</strong>d<strong>in</strong>gs are <strong>in</strong> qualitative agreement with the<br />

theoretical predictions of Milner, which was developed after the first experimental<br />

f<strong>in</strong>d<strong>in</strong>gs [81]. However some discrepancies <strong>in</strong> terms of the exact location of<br />

the morphology boundaries do exist between theoretical prediction and experimental<br />

results. An I 2S sample with 53 vol.% PS formed a tricont<strong>in</strong>uous cubic<br />

structure where a lamellae structure was predicted by theory (Fig. 10). Another<br />

I 2S sample with high PS content, (81% by vol.), showed microphase separation<br />

without long range order. This randomly oriented wormlike morphology of

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