Quantum Physics Division
Faculty of PhysicsAdam Mickiewicz University

Diblock copolymer melt in spherical unit cells of higher dimensionalities

M. Banaszak1 , A. Koper1 , P. Knychała1 , K. Lewandowski1

1 Faculty of Physics, Adam Mickiewicz University, Poznań, Poland

Acta Physica Polonica A, 121(3) (2012)


Using self-consistent field theory in spherical unit cells of various dimensionality, D=1, 2, 3, and 4, we calculate phase diagram of a diblock, A-b-B, copolymer melt in 4 dimensional space, d=4. The phase diagram is parameterized by the chain composition, f, and incompatibility between A and B, quantified by the product χN. We predict 4 stable nanophases: layers, cylinders, 3D spherical cells, and 4D spherical cells. We also calculate order-disorder and order-order transition lines. In the strong segregation limit, that is for large χN, the order-order transition compositions are determined by the strong segregation theory in its simplest form, for D=1, 2, 3, and 4


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