Predicting the mesophases of copolymer-nanoparticle composites

The interactions between mesophase-forming copolymers and nanoscopic partic les can lead to highly organized hybrid materials. The morphology of such c omposites depends not only on the characteristics of the copolymers, but al so on the features of the nanoparticles. To explore this vast parameter spa ce and predict the mesophases of the hybrids, we have developed a mean fiel d theory for mixtures of soft, flexible chains and hard spheres. Applied to diblock-nanoparticle mixtures, the theory predicts ordered phases where pa rticles and diblocks self-assemble into spatially periodic structures. The method can be applied to other copolymer-particle mixtures and can be used to design novel composite architectures.