Abstract
Polymers are macromolecules built from chains of subunits. Most synthetic polymers are built from a single subunit, the monomer, and are termed homopolymers. The connection of two or more homopolymer chains into a larger macromolecule is termed a block copolymer and these can be made with multiple components connected into both linear or branched molecular architectures. Block copolymers remain a subject of significant research interest owing to the control and reproducibility of physical properties and the many fascinating nanoscale structures which can be obtained via self-assembly. The self-assembly behaviour of block copolymers originate from the tendency of the various polymer chains to undergo phase separation which is inherently constrained due to the molecular connectivity. This leads to the formation of ordered mesostructures with characteristic length scales on the order of the chain sizes, typically tens of nanometers. Here the focus is on the molecular architecture as a topological variable and how it influences the morphologies one finds in self-assembled block copolymer systems. We present a range of examples of morphologies with different and sometimes very complex mesoscale topology, i.e. patterns which emerges from the tendency of these molecules to undergo spatial phase separation.
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Notes
- 1.
There are a number of practical subtleties associated with this statement. First of all it requires that the molecular weight (or N) is not so large that the temperatures required to reach the transitions disintegrates the molecules, and second, the temperature range has to be above the glass transition temperature \(T_g\) which is a property of the specific chains. We will assume we are in a region of size and temperature where the notion of phase transitions makes sense. Note however that in structural studies of block copolymer morphologies one often utilises the glass transition of one or more of the chains to effectively ‘freeze’ a given structure by a rapid temperature quench.
- 2.
One of the predicted tricontinuous patterns have in fact been identified in both a hard and a soft matter context. In [26] such a pattern was found in a mesoporous silica and the same structure was later identified in a lyotropic liquid crystalline surfactant system [27]. However, in those cases the channels all contain the same material unlike the structures described here which have a different chemical species inside each channel.
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Acknowledgements
The author wishes to gratefully acknowledge colleagues and mutual co-authors of the authors own research presented in this chapter, in particular Stephen T. Hyde, Liliana de Campo, Myfanwy Evans, Martin C. Pedersen, Gerd E. Schröder-Turk, Michael G. Fischer, Panagiota Fragouli, Nikos Hadjichristidis and Kell Mortensen.
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Kirkensgaard, J.J.K. (2018). Topologically Complex Morphologies in Block Copolymer Melts. In: Gupta, S., Saxena, A. (eds) The Role of Topology in Materials. Springer Series in Solid-State Sciences, vol 189. Springer, Cham. https://doi.org/10.1007/978-3-319-76596-9_10
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