Results 41 to 50 of about 1,632 (118)

Quasicrystal Structure Prediction: A Review

Israel Journal of Chemistry, Volume 64, Issue 10-11, November 2024.
Abstract Predicting quasicrystal structures is a multifaceted problem that can involve predicting a previously unknown phase, predicting the structure of an experimentally observed phase, or predicting the thermodynamic stability of a given structure. We survey the history and current state of these prediction efforts with a focus on methods that have ...
Michael Widom, Marek Mihalkovič
wiley   +1 more source

Extinctions and Correlations for Uniformly Discrete Point Processes with Pure Point Dynamical Spectra

, 2009
The paper investigates how correlations can completely specify a uniformly discrete point process. The setting is that of uniformly discrete point sets in real space for which the corresponding dynamical hull is ergodic.
A. Hof, C. Berg, C. Radin, C. Radin, D. Lenz, D. Lenz, D. Rabson, Daniel Lenz, J.-B. Gouéré, J.-Y. Lee, L. Schwartz, M. Baake, M. Baake, M. Baake, M.M. Treacy, R. Lifschitz, Robert V. Moody, S. Dworkin, X. Deng   +18 more
core   +1 more source

Canonical‐Cell Tilings and their Atomic Decorations

Israel Journal of Chemistry, Volume 64, Issue 10-11, November 2024.
Abstract The canonical cell tiling is a geometrical framework that uses four kinds of basic polyhedra, called the canonical cells, to model the packing of atoms and clusters in icosahedral quasicrystals and related periodic approximants. Over the past three decades, it has become increasingly clear that this framework is the most sensible approach to ...
Nobuhisa Fujita, Marek Mihalkovič, Christopher L. Henley   +2 more
wiley   +1 more source

Thick atomic layers of maximum density as bulk terminations of quasicrystals

, 2004
The clean surfaces of quasicrystals, orthogonal to the directions of the main symmetry axes, have a terrace-like appearance. We extend the Bravais' rule for crystals to quasicrystals, allowing that instead of a single atomic plane a layer of atomic ...
Gerald Kasner, S. E. Burkov, Z. Papadopolos, Z. Shen, Zorka Papadopolos   +4 more
core   +1 more source

On the Fibonacci Tiling and its Modern Ramifications

Israel Journal of Chemistry, Volume 64, Issue 10-11, November 2024.
Abstract In the last 30 years, the mathematical theory of aperiodic order has developed enormously. Many new tilings and properties have been discovered, few of which are covered or anticipated by the early papers and books. Here, we start from the well‐known Fibonacci chain to explain some of them, with pointers to various generalisations as well as ...
Michael Baake, Franz Gähler, Jan Mazáč   +2 more
wiley   +1 more source

Limit-(quasi)periodic point sets as quasicrystals with p-adic internal spaces

, 1999
Model sets (or cut and project sets) provide a familiar and commonly used method of constructing and studying nonperiodic point sets. Here we extend this method to situations where the internal spaces are no longer Euclidean, but instead spaces with p ...
Baake M, Bourbaki N, de Bruijn N G, de Bruijn N G, Dekking F M, Grünbaum B, Gähler F, Hewitt E, Hof A, Katz A, Martin Schlottmann, McMullen P, Meyer Y, Michael Baake, Moody R V, Neukirch J, Penrose R, Queffelec M, Robert V Moody, Robinson R M, Schlottmann M, Schlottmann M, Serre J-P   +22 more
core   +1 more source

Pure Point Diffraction and Almost Periodicity

Israel Journal of Chemistry, Volume 64, Issue 10-11, November 2024.
Abstract This article deals with pure point diffraction and its connection to various notions of almost periodicity. We explain why the Fibonacci chain does not fit into the classical concept of Bohr almost periodicity and how it fits into the classes of mean, Besicovitch and Weyl almost periodic point sets.
Daniel Lenz, Timo Spindeler, Nicolae Strungaru   +2 more
wiley   +1 more source

Nanostructures in Organic Light‐Emitting Diodes: Principles and Recent Advances in the Light Extraction Strategy

Laser &Photonics Reviews, Volume 18, Issue 8, August 2024.
Principles and latest breakthroughs with nanostructures enabling the extraction of confined light from organic light‐emitting diodes (OLEDs) by facilitating strong optical interactions between nanostructures and trapped modes are reviewed. Four types of extraction strategies are examined: periodic nanostructures, randomly distributed nanostructures ...
Kyungnam Kang, Inseop Byeon, Young Gu Kim, Jong‐ryul Choi, Donghyun Kim   +4 more
wiley   +1 more source

Stability of Two-Dimensional Soft Quasicrystals

, 2015
The relative stability of two-dimensional soft quasicrystals is examined using a recently developed projection method which provides a unified numerical framework to compute the free energy of periodic crystal and quasicrystals. Accurate free energies of
Jiang, Kai, Shi, An-Chang, Tong, Jiajun, Zhang, Pingwen   +3 more
core   +1 more source

SCD Patterns Have Singular Diffraction

, 2004
Among the many families of nonperiodic tilings known so far, SCD tilings are still a bit mysterious. Here, we determine the diffraction spectra of point sets derived from SCD tilings and show that they have no absolutely continuous part, that they have a
Blanchard P., Cowley J. M., D. Frettlöh, Danzer L., de Gennes P. G., M. Baake, Rudin W., Schlottmann M., Schwartz L.   +8 more
core   +2 more sources