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SYSO: Symposium Self-organizing Surfaces and Interfaces
SYSO 5: Self-Organizing Surfaces and Interfaces IV
SYSO 5.6: Talk
Thursday, March 26, 2009, 12:15–12:30, GÖR 226
Packing Frustration of bicontinuous and multicontinuous cubic Gyroid mesophases — •Gerd E Schröder-Turk1, Karsten Grosse-Brauckmann2, and Stephen T Hyde3 — 1Theoretische Physik, Universität Erlangen-Nürnberg, Staudtstr. 7, D-91058 Erlangen — 2Fachbereich Mathematik, Technische Universität Darmstadt, Schlossgartenstr. 7, D-64289 Darmstadt — 3Applied Maths, Research School of Physical Sciences, Australian National University, 0200 ACT, Australia
For the self-assembly of copolymers and lipids into cubic
bicontinuous triply-periodic interfaces, domain
thickness variations relate to packing frustration and affect phase
stability. Domain thickness variations can be analysed by a medial
surface approach [1]. We study triply-periodic space-partitions with interfaces modelled by
constant mean curvature (cmc) representations of three-coordinated srs networks. These include
the Ia3d double-Gyroid geometry found
in AB diblock copolymers. We find that the volume fraction of the
minority (network) component at which the Ia3d Gyroid is typically
stable in AB diblocks (≈ 38%) corresponds to the case where the
relative domain thickness variations (or packing frustration) of
minority and matrix component are approximately equal. We discuss multi-continuous geometries based on three or more entangled cmc
srs-network domains with relatively low packing frustration, possibly relevant for novel lipid mesophases [2].
[1] G.E. Schröder, S.J. Ramsden, A.G. Christy, S.T. Hyde, Eur. Phys. J. B 35, 551-564 (2003)
[2] S.T. Hyde, G.E Schröder, Curr. Op. in Coll. and Interface Sc. 8, 5-14 (2003)