Quasicrystals : a primer / C. Janot.

"First published in paperback 1997"--Title page verso.

Includes bibliographical references and index.

Print version record.

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.

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 dimensional space groups was applied to them and new alloy phases were prepared which exhibited the properties expected from this model more closely. Thus many of the early controversieswere dissolved. In 2011, the Nobel Prize for Chemistry was awarded to Dan Shechtman for the discovery of quasicryst.

eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - Worldwide