Coverings of Discrete Quasiperiodic Sets -

Coverings of Discrete Quasiperiodic Sets

Theory and Applications to Quasicrystals
Buch | Hardcover
XV, 273 Seiten
2002 | 2003
Springer Berlin (Verlag)
978-3-540-43241-8 (ISBN)
246,09 inkl. MwSt
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 18.9.2002
Reihe/Serie Springer Tracts in Modern Physics
Zusatzinfo XV, 273 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 680 g
Themenwelt Mathematik / Informatik Mathematik
Naturwissenschaften Physik / Astronomie Atom- / Kern- / Molekularphysik
Naturwissenschaften Physik / Astronomie Festkörperphysik
Technik Maschinenbau
Schlagworte Cluster • clusters • Covering • Kristalle • Kristallographie • lattice • Quasicrystals • Quasiperiodic • Quasiperiodicity • Tilings
ISBN-10 3-540-43241-8 / 3540432418
ISBN-13 978-3-540-43241-8 / 9783540432418
Zustand Neuware
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