Defects in Lamellar Diblock Copolymers: Chevron- and Omega-shaped Tilt Boundaries

Details Defects in Lamellar Diblock Copolymers: Chevron- and Omega-shaped Tilt Boundaries Defects in Lamellar Diblock Copolymers: Chevron- and Omega-shaped Tilt Boundaries

1999-05-26

arxiv.org/abs/cond-mat/9905378v4

Phys. Rev. E 61, 2848 (2000)

Physics

Condensed Matter

Statistical Mechanics

11 pages, 10 gzipped postscript and jpeg figures, published in PRE Vol. 61, March 2000

Scientific paper

10.1103/PhysRevE.61.2848

We investigate symmetric grain boundaries in a lamellar diblock copolymer system. The form of the interface between two grains strongly depends on the angle $\theta$, between the normals of the grains. When this angle is small, the lamellae transform smoothly from one orientation to the other, creating the chevron morphology. As $\theta$ increases, a gradual transition is observed to an omega morphology characterized by a protrusion of the lamellae along the interface between the two phases. We present a theoretical approach to find these tilt boundaries in two-dimensional systems, based on a Ginzburg-Landau expansion of the free energy. Calculated order parameter profiles and energies agree well with transmission electron microscope experiments, and with full numerical solution of the same problem.

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