A Geometric Theory of Diblock Copolymer Phases

Details A Geometric Theory of Diblock Copolymer Phases A Geometric Theory of Diblock Copolymer Phases

2003-03-31

arxiv.org/abs/cond-mat/0304001v1

Phys. Rev. Lett. 91 (2003) 058304

Physics

Condensed Matter

Soft Condensed Matter

4 pages, RevTeX, 3 eps figures included

Scientific paper

10.1103/PhysRevLett.91.058304

We analyze the energetics of sphere-like micellar phases in diblock copolymers in terms of well-studied, geometric quantities for their lattices. We argue that the A15 lattice with Pm3n symmetry should be favored as the blocks become more symmetric and corroborate this through a self-consistent field theory. Because phases with columnar or bicontinuous topologies intervene, the A15 phase, though metastable, is not an equilibrium phase of symmetric diblocks. We investigate the phase diagram of branched diblocks and find thatthe A15 phase is stable.

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