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Unit-cell approximation for diblock−copolymer brushes grafted to spherical particles

Griffiths, G. H., Vorselaars, B. and Matsen, M. W. (2011) Unit-cell approximation for diblock−copolymer brushes grafted to spherical particles. Macromolecules, 44 (9). pp. 3649-3655. ISSN 0024-9297

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To link to this item DOI: 10.1021/ma2003745


This paper examines the equilibrium phase behavior of thin diblock-copolymer films tethered to a spherical core, using numerical self-consistent field theory (SCFT). The computational cost of the calculation is greatly reduced by implementing the unit-cell approximation (UCA) routinely used in the study of bulk systems. This provides a tremendous reduction in computational time, permitting us to map out the phase behavior more extensively and allowing us to consider far larger particles. The main consequence of the UCA is that it omits packing frustration, but evidently the effect is minor for large particles. On the other hand, when the particles are small, the UCA calculation can be readily followed up with the full SCFT, the comparison to which conveniently allows one to quantitatively assess the effect of packing frustration.

Item Type:Article
Divisions:Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:20433
Publisher:American Chemical Society

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