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Geometrical frustration
Abstract
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.
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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
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| eBook | ||
| Monografia | ||
| Description | *Geometrical frustration / Jean-François Sadoc and Rémy Mosseri Cambridge : Cambridge University Press, 1999 1 online resource (xii, 307 pages) : digital, PDF file(s) |
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| Note | Title from publisher's bibliographic system (viewed on 05 Oct 2015). Formato pdf - Accesso riservato secondo le condizioni contrattuali https://doi.org/10.1017/CBO9780511599934 |
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| ISBN | 9780511599934 | |
| 9780521441988 | ||
| 9780521031875 | ||
| Series | Collection Aléa-Saclay : monographs and texts in statistical physics | |
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| Publication year | 1999 | |
| Contents note | 1. Introduction to geometrical frustration -- 2. Ideal models -- 3. Finite structures -- 4. Decurving and disclinations -- 5. Hierarchical polytopes -- 6. Some physical properties -- 7. Periodic structures with large cells -- 8. Quasiperiodic order and frustration -- A1. Spaces with constant curvature -- A2. Quaternions and related groups -- A3. Hopf fibration -- A4. Polytopes and honeycombs -- A5. Polytope {3, 3, 5} -- A6. Frank and Kasper coordination polyhedra -- A7. Quasiperiodic tilings: cut and projection -- A8. Differential geometry and parallel transport -- A9. Icosahedral quasicrystals and the E8 lattice |