Geometrical Frustration [Paperback]

A clear account of how the application of geometrical frustration elucidates the structure and properties of non-periodic materials.This book shows how the concept of geometrical frustration at different scales can be used to elucidate the structure and properties of non-periodic materials including metals, amorphous solids, liquid crystals, amphiphiles, cholisteric systems, polymers, phospholipid membranes, atomic clusters, and quasicrystals. Using examples and idealised models, the book describes how applying geometrical frustration provides a way of identifying ordered and defective regions in real materials. Properties examined include the structure factor, specific volume, melting and the glass transition. Appendices give all necessary background on geometry, symmetry and tilings.This book shows how the concept of geometrical frustration at different scales can be used to elucidate the structure and properties of non-periodic materials including metals, amorphous solids, liquid crystals, amphiphiles, cholisteric systems, polymers, phospholipid membranes, atomic clusters, and quasicrystals. Using examples and idealised models, the book describes how applying geometrical frustration provides a way of identifying ordered and defective regions in real materials. Properties examined include the structure factor, specific volume, melting and the glass transition. Appendices give all necessary background on geometry, symmetry and tilings.This book shows how the concept of geometrical frustration can be used to elucidate the structure and properties of nonperiodic materials such as metallic glasses, quasicrystals, amorphous semiconductors and complex liquid crystals. Examples and idealized models introduce geometric frustration, illustrating how it can be used to identify ordered and defective regions in real materials. The book goes on to show how these principles can also be used to model physical properties of materials, in particular specific volume, melting, the lƒœ