Aperiodic Crystals

Front Matter....Pages I-XV
A Brief History of Aperiodic Crystals: 1962–2012....Pages 1-9
Squiral Diffraction....Pages 11-17
Random Noble Means Substitutions....Pages 19-27
Magic Numbers in the Discrete Tomography of Cyclotomic Model Sets....Pages 29-34
Some Comments on the Inverse Problem of Pure Point Diffraction....Pages 35-41
Well-Rounded Sublattices and Coincidence Site Lattices....Pages 43-48
Octagon-Based Quasicrystalline Formations in Islamic Architecture....Pages 49-57
The Ammann–Beenker Tilings Revisited....Pages 59-65
Substitution Rules and Topological Properties of the Robinson Tilings....Pages 67-73
Short-Range Spin Fluctuation in the Zn–Mg–Tb Quasicrystal and Its Relation to the Boson Peak....Pages 75-79
Anomalous Properties and the Electronic Glass-Like State in Al-Based Stable Quasicrystals....Pages 81-87
Quantum Diffusion in Separable d -Dimensional Quasiperiodic Tilings....Pages 89-94
Hume–Rothery Stabilization Mechanism of Be-Based Complex Alloys....Pages 95-100
Hume–Rothery Stabilization Mechanism in Tsai-Type Cd 6 Ca Approximant and e / a Determination of Ca and Cd Elements in the Periodic Table....Pages 101-107
Hume–Rothery Stabilization Mechanism in Low-Temperature Phase Zn 6 Sc Approximant and e / a Determination of Sc and Y in M–Sc and M–Y (M=Zn, Cd and Al) Alloy Systems....Pages 109-115
Analysis of Dislocations in Quasicrystals Composed of Self-assembled Nanoparticles....Pages 117-124
Average Unit Cell in Fourier Space and Its Application to Decagonal Quasicrystals....Pages 125-132
A Study of Phase Equilibria in the Al–Pd–Co System at 700 ∘ C....Pages 133-139
Evolution of Phases in Selected Al–Co–Cu Complex Metallic Alloys Under Near-Equilibrium Conditions at 800–1150 ∘ C....Pages 141-147
Superspace Description of the System Bi 2(n+2) Mo n O 6(n+1) ( n =3, 4, 5 and 6)....Pages 149-155
Pseudo-Commensurate GdBaCo 2 O 5+δ and Its Phase Transition at Elevated Temperatures....Pages 157-162
Al 4 (Cr,Fe): A Structure Survey....Pages 163-170
Phase Transitions in Aperiodic Composite Crystals....Pages 171-177
Pseudo-Symmetry in Tungsten Bronze Type Sr 3 TiNb 4 O 15 ....Pages 179-185
Structural Investigation of the Incommensurate Modulated Ta 2 O 5 ⋅Al 2 O 3 System....Pages 187-193
First-Principles Study for Phase Diagrams of Cd–Ca and Cd–Y Tsai-Type Approximants Under Pressure....Pages 195-201
The Choice of Vector Basis for Ammann Tiling in a Context of the Average Unit Cell....Pages 203-210
Real Space Structure Factor and Scaling for Quasicrystals....Pages 211-218
Direct Observations of Aperiodic Arrangements of Transition-Metal Atoms in Al–Co–Ni Decagonal Quasicrystals by Cs -Corrected HAADF-STEM....Pages 219-224
Arrangement of Transition-Metal Atoms in an Approximant Crystal Related to Al–Cu–Co Decagonal Quasicrystals Studied by C s-Corrected HAADF-STEM....Pages 225-230
Structure of ϵ 16 Phase in Al–Pd–Co System Studied by HREM and X-Ray Diffraction....Pages 231-236
Structure of τ 2 -Al 3 Co, a Monoclinic Approximant of the Al–Co Decagonal Quasicrystal....Pages 237-242
Reverse Monte Carlo Study of Diffuse Scattering from a Frustrated Protein System....Pages 243-251
Dynamical Flexibility in the Periodic Zn 6 Sc 1/1-Approximant....Pages 253-259
Trajectories of Colloidal Particles in Laser Fields with Eight-, Ten-, or Twelve-Fold Symmetry and Phasonic Drift....Pages 261-267
Catalytic Properties of Five-Fold Surfaces of Quasicrystal Approximants....Pages 269-274
Effect of Leaching on Surface Microstructure and Chemical Composition of Al-Based Quasicrystals....Pages 275-282
Back Matter....Pages 283-286