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Diblock copolymer melt in spherical unit cells of higher dimensionalities

Banaszak M.1, Koper A.1, Knychała P.1, Lewandowski K.1
  • 1Faculty of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
Acta Physica Polonica A, 121 (3), pp.703-710, 2012
DOI::
Abstract: 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 N, 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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