Stable Frank–Kasper phases of self-assembled, soft matter spheres

  title={Stable Frank–Kasper phases of self-assembled, soft matter spheres},
  author={Abhiram Reddy and Michael Buckley and Akash Arora and Frank S. Bates and Kevin D. Dorfman and Gregory M. Grason},
  journal={Proceedings of the National Academy of Sciences of the United States of America},
  pages={10233 - 10238}
Significance Formation of complex Frank–Kasper phases in soft matter systems confounds intuitive notions that equilibrium states achieve maximal symmetry, owing to an unavoidable conflict between shape and volume asymmetry in space-filling packings of spherical domains. Here we show the structure and thermodynamics of these complex phases can be understood from the generalization of two classic problems in discrete geometry: the Kelvin and Quantizer problems. We find that self-organized… 

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