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Publicly Available Published by De Gruyter (O) September 25, 2009

Recent developments in the mathematics of diffraction

  • Robert V. Moody
From the journal Zeitschrift für Kristallographie
https://doi.org/10.1524/zkri.2008.1084
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Abstract

This is a survey of some recent results in the mathematics of diffraction, concentrating on the use of dynamical systems and stochastic point processes.

Keywords: Diffraction; Almost periodicity; Point processes; Correlations
* Correspondence address: Kanada,
Published Online: 2009-09-25
Published in Print: 2008-12

© by Oldenbourg Wissenschaftsverlag, Oviedo, Germany

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From the journal
Zeitschrift für Kristallographie
Zeitschrift für Kristallographie
Volume 223 Issue 11-12
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Journal and Issue

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Preface: Proceedings of the ICQ10
Synthesis of single phase i-AlCuFe bulk quasicrystal by spray forming
Synthesis of nanocrystalline spinel phase by mechanical milling of Al–Cu–Fe and Al–Cu–Cr–Fe quasicrystalline alloys
Structural complexity in monodisperse systems of isotropic particles
Nano quasicrystal formation and local atomic structure in Zr–Pd and Zr–Pt binary metallic glasses
Characterization of the icosahedral quasicrystalline phase in rapidly solidified Al–Cu–Fe alloys
Development of an Al–Mn–Be–Cu alloy with improved quasicrystalline forming ability
Electronic structures of Al-based transition metal compounds and effective valence of transition elements
Stability of aperiodic crystals
Metallographic techniques for the characterization of quasicrystalline phases in aluminium alloys
Formation of decagonal quasicrystals in mechanically alloyed Al–Cu–Cr powders
Discrete tomography of F-type icosahedral model sets
Restricted square-triangle tilings
Modulated quasicrystals
Similarity versus coincidence rotations of lattices
Counting perfect colourings of plane regular tilings
Homometric point sets and inverse problems
Ten colours in quasiperiodic and regular hyperbolic tilings
On color groups of Bravais colorings of planar modules with quasicrystallographic symmetries
Highly symmetric random substitution tilings
Recent developments in the mathematics of diffraction
Integer Cech cohomology of icosahedral projection tilings
Generalized substitution rules: concepts and examples
The remarkable nature of one-dimensional quasicrystal
Anomalous conduction mechanisms of Al-based stable quasicrystals
Similar sublattices and coincidence rotations of the root lattice A4 and its dual
Study of quasicrystals obtained from a structural model of icosahedral phases of type F AlPdMn/AlCuFe
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Iron atomic jumps in Al–Cu–Fe quasicrystals and approximants
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Structure refinement of a decagonal quasicrsytal of Al72Ni20Co8 by convergent-beam electron diffraction
The Co–Ni distribution in decagonal Al69.7(4)Co10.0(4)Ni20.3(4)
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