Titlebook: Aperiodic Crystals; Siegbert Schmid,Ray L. Withers,Ron Lifshitz Conference proceedings 2013 Springer Science+Business Media Dordrecht 2013

reflection

,Hume–Rothery Stabilization Mechanism in Low-Temperature Phase Zn,Sc Approximant and ,/, Determinatioms per unit cell with space group B2/b. The square of the Fermi diameter (2..)., electrons per atom ratio ./. and . reciprocal lattice vector |.|.s were determined. The origin of its pseudogap at the Fermi level was interpreted as arising from interference of electrons with (2..).=79.0±0.2 with set

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狂熱文化

Average Unit Cell in Fourier Space and Its Application to Decagonal Quasicrystals,l (AUC) and an envelope of diffraction peaks. For centrosymmetric structures like the Penrose tiling, the envelope makes it possible to determine the sign of the phase straight from the diffraction pattern. A?Fourier transform of an envelope leads to a distribution of atomic positions within an AUC.

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URN

https://doi.org/10.1007/978-3-7091-8034-1In a recent paper ., Lenz and Moody presented a method for constructing families of real solutions to the inverse problem for a given pure point diffraction measure. Applying their technique and discussing some possible extensions, we present, in a non-technical manner, some examples of homometric structures.

defuse

Elementare BerechenbarkeitstheorieThis paper introduces two tiles whose tilings form a one-parameter family of tilings which can all be seen as digitization of two-dimensional planes in the four-dimensional Euclidean space. This family contains the Ammann–Beenker tilings as the solution of a simple optimization problem.

捏造

,Anfangsgründe der Fl?chentheorie,We introduce the mechanism of localized collective fluctuation of short-range ordered spin in a dodecahedral spin cluster in Zn–Mg–Tb icosahedral quasicrystals. In addition, we shall discuss the relation to the boson peak in topological glasses.

braggadocio

,Innere Geometrie einer Fl?che,We discuss the slow dynamics mechanism of the excited carriers in the Al-based quasicrystal-like system. This glassy relaxation mechanism is closely related to the long recombination time of the excited carriers in Al–Pd–Re quasicrystals.

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