Synopsis
This book shows how the concept of geometrical frustration can be used to elucidate the structure and properties of non-periodic materials such as metallic glasses, quasicrystals, amorphous semiconductors and complex liquid crystals. Geometric frustration is introduced through examples and idealized models, leading to a consideration of how the concept can be used to identify ordered and defective regions in real materials. Then it is shown how these principles can also be used to model physical properties of materials, in particular specific volume, melting, the structure factor and the glass transition. Final chapters consider geometric frustration in periodic structures with large cells and quasiperiodic order. Appendices give all necessary background on geometry, symmetry and tilings. The text considers geometrical frustration at different scales in many types of materials and structures, including metals, amorphous solids, liquid crystals, amphiphiles, cholisteric systems, polymers, phospholipid membranes, atomic clusters, and quasicrystals. Of interest to researchers in condensed matter physics, materials science and structural chemistry, as well as mathematics and structural biology.
About the Author
Jean-François Sadoc is Professor at Paris-Sud University where he teaches crystallography and statistical physics. At the 'Laboratoire de Physique des Solides' in Orsay, his main fields of interest are disordered systems. In particular, he focuses on liquid crystal structures and metallic quasicrystals. In 1983 he was awarded the Winter-Klein prize for his work on metallic glasses by the French Sciences Academy. Rémy Mosseri is Director of Research at the 'Centre National de la Recherche Scientifique' and studies the structural and electronic properties of quasicrystals at the 'Groupe de Physique des Solides' at Paris University in Jussieu. He is also interested in the history of physics. In 1992 he was awarded the Paul Langevin prize by the French Physical Society.
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