H. Wang et al., Birefringence and depolarized light scattering of an ordered block copolymer melt under shear flow, MACROMOLEC, 33(10), 2000, pp. 3719-3730
A combination of in situ birefringence and depolarized light-scattering exp
eriments was used to study the formation of an ordered cylindrical microstr
ucture in a polystyrene-block-polyisoprene copolymer melt under a shear flo
w field. We demonstrate that our sample forms an imperfect "single crystal"
with a fraction of the cylinders aligned in the flow direction. The aligne
d regions of the sample coexist with randomly oriented grains. The birefrin
gence experiments enable the characterization of the aligned regions while
the depolarized light-scattering experiments enable the characterization of
the randomly oriented grains. A model for depolarized light scattering fro
m such samples was developed. It was shown that the usual scattering formul
as for grains embedded in anisotropic matrix are applicable provided one re
cognizes that the scattering vector, q, has transverse (q(T)) and longitudi
nal (q(L)) components even in the small angle scattering limit (q(L) is the
component of q in the propagation direction). This result applies when the
analyzer (or polarizer) axis is aligned along the direction of the optic a
xis of the aligned regions. A simplifying feature of block copolymers is th
at the product w\q(L)\ much less than 1, where w is the characteristic grai
n size, allowing the approximation q approximate to q(T). We used our model
to study the structure of the block copolymer melt after it had been quenc
hed from the disordered to the ordered state under reciprocating shear flow
(strain amplitude = 133%). Under slow shear flow (shear rate, (gamma) over
dot = 0.067 s(-1)), about 60% of the sample consisted of randomly oriented
grains and 40% consisted of aligned cylinders. The average grain size and
time required to complete the ordering process obtained under slow shear fl
ow were comparable to those obtained under quiescent conditions. Under fast
shear flow ((gamma) over dot = 0.67 s(-1)), however, most of the sample (9
7%) consisted of aligned cylinders, indicating the formation of a well-alig
ned crystal.