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

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

Fig. 12. Schematic representation of proposed arrangement of A/B junctions on a triply periodic<br />

IMDS of constant mean curvature for SB-4 miktoarm copolymer of Fig. 11 (reproduced<br />

with permission from [62])<br />

of three dimensional models of level surfaces confirmed that the cubic cont<strong>in</strong>uous<br />

structure is best described as an ordered bicont<strong>in</strong>uous double diamond<br />

(OBDD) structure. The area per junction po<strong>in</strong>t was found to <strong>in</strong>crease with molecular<br />

weight <strong>in</strong> the star architecture compared to the l<strong>in</strong>ear tetrablocks. From<br />

d spac<strong>in</strong>g measurements it was concluded that as “a” <strong>in</strong>creases the ability of the<br />

shorter <strong>in</strong>terior blocks to bridge the doma<strong>in</strong>s decreases and more loop conformations<br />

are formed. These loop conformations force the A/B junctions further<br />

apart on average and the long exterior blocks can assume less stretched conformations<br />

(Fig. 12). For the SB-4 sample the short <strong>in</strong>terior blocks would be too<br />

overcrowded as loops on flat <strong>in</strong>termaterial divid<strong>in</strong>g surface (IMDS). In order to<br />

avoid overcrowd<strong>in</strong>g the IMDS becomes curved, allow<strong>in</strong>g the peripheral junctions<br />

to spread further apart than on a flat <strong>in</strong>terface and the microdoma<strong>in</strong> structure<br />

becomes triply periodic.<br />

Floudas and coworkers [88] <strong>in</strong>vestigated the static and k<strong>in</strong>etic aspects of the<br />

order-disorder transition <strong>in</strong> SI 2 and SIB miktoarm stars us<strong>in</strong>g SAXS and rheology.<br />

At temperatures above the order-disorder transition (ODT) the mean field<br />

theory describes the experimental results quite well. Near the ODT, SAXS profiles<br />

gave evidence for the existence of fluctuations. Both samples separated <strong>in</strong>to<br />

cyl<strong>in</strong>drical microdoma<strong>in</strong>s below the ODT. The ODT was determ<strong>in</strong>ed on shear<br />

oriented samples and found, by SAXS, to be 379 K <strong>in</strong> both cases. This was confirmed<br />

by rheology. The discont<strong>in</strong>uities <strong>in</strong> SAXS peak <strong>in</strong>tensity and <strong>in</strong> the storage<br />

modulus near the ODT were more pronounced for the miktoarm stars than<br />

for the diblocks. The cN values, where c is the <strong>in</strong>teraction parameter and N the

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