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Quasicrystals: Minimal recipes to make them and tools to catalog them

Priya Subramanian

University of Leeds

ABSTRACT:

Regular patterns (made of tiles) and crystals (made of either atoms/molecules) surround us in everyday life. These patterns look the same when moved by one unit (translational symmetry) or rotated by certain special angles (rotational symmetry). Such repeating arrangements are prevalent in nature as lesser amount of energy is required to assemble them. Aperiodic patterns or quasicrystals are special as they possess long range order without translational symmetry. Quasicrystals have recently been observed in a variety of systems such as nanoparticles, metallic alloys and polymer solutions. This implies that under suitable conditions, quasicrystals require lesser energy to assemble than regular patterns. Considering the difference in scale between metallic and polymeric quasicrystals, there is a need for mathematical models which explore the unifying mechanisms that generate quasicrystals both on surfaces and in bulk. This talk will explore minimal models to understand the formation of quasicrystals both in 2D and 3D, along with tools to catalog the different quasicrystalline structures.