Quasicrystals : a primer /
In 1984 physicists discovered a monster in the world of crystallography, a structure that appeared to contain five-fold symmetry axes, which cannot exist in strictly periodic structures. Such quasi-periodic structures became known as quasicrystals. A previously formulated theory in terms of higher d...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Oxford : New York :
Clarendon Press ; Oxford University Press,
1997, ©1994.
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Edición: | 2nd ed. |
Colección: | Monographs on the physics and chemistry of materials ;
50. Oxford science publications. |
Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Contents; 1 How to fill with atoms in condensed matter states; 1.1 Introduction; 1.2 Periodic structures; 1.2.1 Lattices, cells, bases, and space groups; 1.2.2 Atomic planes, rows, and indices; 1.2.3 The reciprocal lattice; 1.2.4 Experimental determination of crystal structures; 1.2.5 The notion of forbidden symmetries; 1.3 Liquids, glasses, and amorphous alloys; 1.3.1 Description of 'disordered' systems; 1.3.2 Diffraction with disordered systems; 1.4 Quasiperiodicity: another type of long-range order; 1.4.1 A one-dimensional example of non-periodic long-range order.
- 1.4.2 The sharp diffraction peaks of a Fibonacci chain1.4.3 Orientational order in quasicrystals; 1.4.4 Direct quasiperiodic space tiling procedures; 1.4.5 Quasiperiodicity as generated by projection or cut from higher dimensional space; 1.4.6 Modulated crystals and quasicrystals; 1.5 Problems; References; 2 Meal quasicrystals: preparation and characterization; 2.1 Introduction; 2.2 Preparation methods; 2.2.1 The melt spinning technique; 2.2.2 Other production techniques for metastable quasicrystals; 2.2.3 Conventional casting; 2.3 Characterization of quasicrystalline samples.
- 2.3.1 Electron, X-ray, and neutron interactions with matter2.3.2 Electron diffraction; 2.3.3 High-resolution electron microscopy; 2.3.4 Neutron and X-ray diffraction; 2.4 The various families of quasicrystals and their order perfection; 2.5 Quasicrystals versus twinned crystals; 2.5.1 The AlCuFe microcrystalline state; 2.5.2 The AlCuFe perfect icosahedral state; 2.6 Phason-induced phase transition and phase diagram in the AlFeCu system; 2.7 A phase diagram for the AlPdMn system; 2.8 Conclusion; 2.9 Problems; References; 3 High-dimensional crystallography; 3.1 Introduction.
- 3.2 The basic principles of quasicrystallography3.2.1 The general scheme of experimental crystallography; 3.2.2 Particular aspects of quasiperiodic structures; 3.2.3 Further problems ... and further solutions; 3.2.4 'Tailoring' the n-dim atomic objects: final modelling of quasicrystal structure; 3.2.5 The high-dim representation of some imperfection: phason shift and strain; 3.3 Six-dimensional crystallography for 3-dim icosahedral quasicrystals; 3.3.1 Why six dimensions?; 3.3.2 Possible space group for icosahedral quasicrystals; 3.3.3 Body-centred and face-centred icosahedral quasicrystals.
- 3.3.4 The choice of a coordinate system in 3-dim for the PI space group3.3.5 Some useful properties; 3.3.6 Indexing other structure patterns; 3.3.7 Direct space description and basic principles for a cut algorithm; 3.4 Some further consideration of the atomic objects of the n-dim image; 3.4.1 A summary of the general properties; 3.4.2 From the sphere approximation to faceted objects; 3.4.3 Formal faceting conditions of the A[Sub(perp)] atomic surfaces; 3.4.4 Is it compulsory to have polyhedral A[Sub(perp)]?; 3.5 Problems; References; 4 Where are the atoms?; 4.1 Introduction.