Coverings of Discrete Quasiperiodic Sets

Theory and Applications to Quasicrystals

Peter Kramer, Zorka Papadopolos (Herausgeber)

Buch | Softcover

XV, 273 Seiten

2010 | 1. Softcover reprint of the original 1st ed. 2003
Springer Berlin (Verlag)
978-3-642-07749-4 (ISBN)

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Coverings are efficient ways to exhaust Euclidean N-space with congruent geometric objects. Discrete quasiperiodic systems are exemplified by the atomic structure of quasicrystals. The subject of coverings of discrete quasiperiodic sets emerged in 1995. The theory of these coverings provides a new and fascinating perspective of order down to the atomic level. The authors develop concepts related to quasiperiodic coverings and describe results. Specific systems in 2 and 3 dimensions are described with many illustrations. The atomic positions in quasicrystals are analyzed.

Covering of Discrete Quasiperiodic Sets: Concepts and Theory.- Covering Clusters in Icosahedral Quasicrystals.- Generation of Quasiperiodic Order by Maximal Cluster Covering.- Voronoi and Delone Clusters in Dual Quasiperiodic Tilings.- The Efficiency of Delone Coverings of the Canonical Tilings ? *(a4) and ? *(d6).- Lines and Planes in 2- and 3-Dimensional Quasicrystals.- Thermally-Induced Tile Rearrangements in Decagonal Quasicrystals - Superlattice Ordering and Phason Fluctuation.- Tilings and Coverings of Quasicrystal Surfaces.

Erscheint lt. Verlag	6.12.2010
Reihe/Serie	Springer Tracts in Modern Physics
Zusatzinfo	XV, 273 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	498 g
Themenwelt	Mathematik / Informatik ► Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Atom- / Kern- / Molekularphysik
	Naturwissenschaften ► Physik / Astronomie ► Festkörperphysik
	Technik ► Maschinenbau
Schlagworte	Cluster • clusters • Covering • lattice • Quasicrystals • Quasiperiodic • Quasiperiodicity • Tilings
ISBN-10	3-642-07749-8 / 3642077498
ISBN-13	978-3-642-07749-4 / 9783642077494
Zustand	Neuware