Diblock Copolymer Melt in Spherical Unit Cells of Higher Dimensionalities |
| M. Banaszak, A. Koper, P. Knychała and K. Lewandowski
Faculty of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland |
| Received: April 27, 2011 |
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| 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 χ N. 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 χ N, the order-order transition compositions are determined by the strong segregation theory in its simplest form, for D = 1, 2, 3, and 4. |
| DOI: 10.12693/APhysPolA.121.703 PACS numbers: 82.35.Jk |