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Can I read The Periodic Average Structure of Particular Quasicrystals on EtoBox?
The Periodic Average Structure of Particular Quasicrystals by Walter Steurer; Torsten Haibach is a Materials Science article available to read on EtoBox.
What is The Periodic Average Structure of Particular Quasicrystals about?
The non-crystallographic symmetry of __d__-dimensional (__d__D) quasiperiodic structures is incompatible with lattice periodicity in __d__D physical space. However, __d__D quasiperiodic structures can be described as irrational sections of __n__D (__n__ > __d__) periodic hypercrystal structures. By appropriate oblique projection of particular hypercrystal structures onto physical space, discrete periodic average structures can be obtained. The boundaries of the projected atomic surfaces give the maximum distance of each atom in a quasiperiodic structure from the vertices of the reference lattice of its average structure. These maximum distances turn out to be smaller than even the shortest atomic bond lengths. The metrics of the average structure of a 3D Ammann tiling, for instance, with edge lengths of the unit tiles equal to the bond lengths in elemental aluminium, correspond almost exactly to the metrics of face-centred-cubic aluminium. This is remarkable since most stable quasicrystals contain aluminium as the main constitutent. The study of the average structure of quasicrystals can be a valuable aid to the elucidation of the geometry of quasicrystal-to-crystal transformations
Who reads The Periodic Average Structure of Particular Quasicrystals?
It is typically read by researchers, students, and practitioners in Materials Science.
- Author
- Walter Steurer; Torsten Haibach
- Publisher
- International Union of Crystallography; International Union of Crystallography (IUCr) (ISSN 0108-7673)
- Published
- 1999
- Language
- EN
- Field
- Materials Science (Physical Sciences)