Chengzheng Hu et al 2000 Rep. Prog. Phys. 63 1 doi:10.1088/0034-4885/63/1/201
Symmetry groups, physical property tensors, elasticity and dislocations in quasicrystals
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Chengzheng Hu, Renhui Wang and Di-Hua Ding
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The first quasicrystal (QC) structure was observed in 1984. QCs possess long-range orientational and translational order while lacking the periodicity of crystals. An overview is given on some physical properties of QCs. It begins with group theory and symmetry. Then the thermodynamics of equilibrium properties and physical property tensors are discussed. Finally, the generalized elasticity theory of QCs and the elasticity theory of dislocations in QCs are presented.
- PACS
- 02.10.Ud Linear algebra
65.40.G- Other thermodynamical quantities
61.72.Hh Indirect evidence of dislocations and other defects (resistivity, slip, creep, strains, internal friction, EPR, NMR, etc.)
02.20.-a Group theory
61.44.Br Quasicrystals - MSC
- 15A72 Vector and tensor algebra, theory of invariants (See also 13A50, 14L24)
52C23 Quasicrystals, aperiodic tilings - Subjects
- Mathematical physics
Condensed matter: structural, mechanical & thermal - Dates
- Issue 1 (January 2000)
Received 19 January 1999, in final form 29 June 1999 - Metrics
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