Results 91 to 100 of about 31,449 (238)
This Perspective bridges between the frontiers of macromolecular chemistry and supramolecular chemistry with the help of living cationic‐ring opening polymerization of self‐organizable cyclic imino ethers. The goal of this research is to attempt to bring synthetic self‐organizations to the same level of perfection and functionality similar to that of ...
Virgil Percec, Dipankar Sahoo
wiley +1 more source
Daisies, and composite flowers, exhibit an ordered arrangement of florets (phyllotaxis) generated by a simple algorithm. Their structure has self-similarity (inflation), golden mean, Fibonacci numbers, and quasicrystalline grain boundaries, for elementary crystallographic (homogeneity) and biological reasons. Grain boundaries are also 2π-disclinations.
openaire +3 more sources
Local spectral estimates and quantitative weak mixing for substitution Z${\mathbb {Z}}$‐actions
Abstract The paper investigates Hölder and log‐Hölder regularity of spectral measures for weakly mixing substitutions and the related question of quantitative weak mixing. It is assumed that the substitution is primitive, aperiodic, and its substitution matrix is irreducible over the rationals.
Alexander I. Bufetov+2 more
wiley +1 more source
Combinatorial problems of (quasi-)crystallography
Several combinatorial problems of (quasi-)crystallography are reviewed with special emphasis on a unified approach, valid for both crystals and quasicrystals. In particular, we consider planar sublattices, similarity sublattices, coincidence sublattices,
Baake, Michael, Grimm, Uwe
core +3 more sources
Open theoretical problems in the physics of aperiodic systems [PDF]
Quasicrystals have intrigued and stimulated research in a large number of disciplines. Mathematicians, physicists, chemists, metallurgists and materials scientists have found in them a fertile ground for new insights and discoveries.
Jagannathan, Anuradha
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Measuring topological invariants from generalized edge states in polaritonic quasicrystals [PDF]
We investigate the topological properties of Fibonacci quasicrystals using cavity polaritons. Composite structures made of the concatenation of two Fibonacci sequences allow one to investigate generalized edge states forming in the gaps of the fractal ...
F. Baboux+9 more
semanticscholar +1 more source
Clusters, phason elasticity, and entropic stabilisation: a theory perspective
Personal comments are made about the title subjects, including: the relation of Friedel oscillations to Hume-Rothery stabilisation; how calculations may resolve the random-tiling versus ideal pictures of quasicrystals; and the role of entropies apart ...
Abe E+20 more
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Metallic-mean quasicrystals as aperiodic approximants of periodic crystals
Ever since the discovery of quasicrystals, periodic approximants of these aperiodic structures constitute a very useful experimental and theoretical device.
Joichiro Nakakura+3 more
semanticscholar +1 more source
Crystallography of quasiperiodic moiré patterns in homophase twisted bilayers
The quasiperiodic nature of moiré patterns in homophase twisted bilayers is analyzed to understand the underlying basic periodicities and symmetries of homophase twisted bilayers built on any 2D structure.This paper discusses the geometric properties and symmetries of general moiré patterns generated by homophase bilayers twisted by rotation 2δ.
Marianne Quiquandon, Denis Gratias
wiley +1 more source
Icosahedral quasicrystal and 1/1 cubic approximant in Au-Al-Yb alloys
A P-type icosahedral quasicrystal is formed in Au-Al-Yb alloy of which 6-dimensional lattice parameter a6D = 7.448 {\AA}. The composition of the quasicrystal was analyzed to be Au51Al34Yb15.
Pearson WB+3 more
core +1 more source