Aperiodic Crystals

Table of Contents

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   Book Overview
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   Chapter 1 A Brief History of Aperiodic Crystals: 1962–2012
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   Chapter 2 Squiral Diffraction
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   Chapter 3 Random Noble Means Substitutions
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   Chapter 4 Magic Numbers in the Discrete Tomography of Cyclotomic Model Sets
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   Chapter 5 Some Comments on the Inverse Problem of Pure Point Diffraction
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   Chapter 6 Well-Rounded Sublattices and Coincidence Site Lattices
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   Chapter 7 Octagon-Based Quasicrystalline Formations in Islamic Architecture
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   Chapter 8 The Ammann–Beenker Tilings Revisited
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    Chapter 9 Substitution Rules and Topological Properties of the Robinson Tilings
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    Chapter 10 Short-Range Spin Fluctuation in the Zn–Mg–Tb Quasicrystal and Its Relation to the Boson Peak
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    Chapter 11 Anomalous Properties and the Electronic Glass-Like State in Al-Based Stable Quasicrystals
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    Chapter 12 Quantum Diffusion in Separable d-Dimensional Quasiperiodic Tilings
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    Chapter 13 Hume–Rothery Stabilization Mechanism of Be-Based Complex Alloys
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    Chapter 14 Hume–Rothery Stabilization Mechanism in Tsai-Type Cd6Ca Approximant and e/a Determination of Ca and Cd Elements in the Periodic Table
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    Chapter 15 Hume–Rothery Stabilization Mechanism in Low-Temperature Phase Zn6Sc Approximant and e/a Determination of Sc and Y in M–Sc and M–Y (M=Zn, Cd and Al) Alloy Systems
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    Chapter 16 Analysis of Dislocations in Quasicrystals Composed of Self-assembled Nanoparticles
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    Chapter 17 Average Unit Cell in Fourier Space and Its Application to Decagonal Quasicrystals
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    Chapter 18 A Study of Phase Equilibria in the Al–Pd–Co System at 700 ∘C
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    Chapter 19 Evolution of Phases in Selected Al–Co–Cu Complex Metallic Alloys Under Near-Equilibrium Conditions at 800–1150 ∘C
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    Chapter 20 Superspace Description of the System Bi2(n+2)Mo n O6(n+1) (n=3, 4, 5 and 6)
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    Chapter 21 Pseudo-Commensurate GdBaCo2O5+δ and Its Phase Transition at Elevated Temperatures
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    Chapter 22 Al4(Cr,Fe): A Structure Survey
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    Chapter 23 Phase Transitions in Aperiodic Composite Crystals
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    Chapter 24 Pseudo-Symmetry in Tungsten Bronze Type Sr3TiNb4O15
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    Chapter 25 Structural Investigation of the Incommensurate Modulated Ta2O5⋅Al2O3 System
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    Chapter 26 First-Principles Study for Phase Diagrams of Cd–Ca and Cd–Y Tsai-Type Approximants Under Pressure
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    Chapter 27 The Choice of Vector Basis for Ammann Tiling in a Context of the Average Unit Cell
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    Chapter 28 Real Space Structure Factor and Scaling for Quasicrystals
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    Chapter 29 Direct Observations of Aperiodic Arrangements of Transition-Metal Atoms in Al–Co–Ni Decagonal Quasicrystals by Cs-Corrected HAADF-STEM
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    Chapter 30 Arrangement of Transition-Metal Atoms in an Approximant Crystal Related to Al–Cu–Co Decagonal Quasicrystals Studied by Cs-Corrected HAADF-STEM
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    Chapter 31 Structure of ϵ 16 Phase in Al–Pd–Co System Studied by HREM and X-Ray Diffraction
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    Chapter 32 Structure of τ 2-Al3Co, a Monoclinic Approximant of the Al–Co Decagonal Quasicrystal
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    Chapter 33 Reverse Monte Carlo Study of Diffuse Scattering from a Frustrated Protein System
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    Chapter 34 Dynamical Flexibility in the Periodic Zn6Sc 1/1-Approximant
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    Chapter 35 Trajectories of Colloidal Particles in Laser Fields with Eight-, Ten-, or Twelve-Fold Symmetry and Phasonic Drift
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    Chapter 36 Catalytic Properties of Five-Fold Surfaces of Quasicrystal Approximants
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    Chapter 37 Aperiodic Crystals