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Über dieses Buch

Aperiodic Crystals collects 37 selected papers from the scientific contributions presented at Aperiodic 2012 - the Seventh International Conference on Aperiodic Crystalsheld held in Cairns, Australia, 2-7 of September 2012.

The volume discusses state-of-the-art discoveries, new trends and applications of aperiodic crystals - including incommensurately modulated crystals, composite crystals, and quasicrystals - from a wide range of different perspectives. Starting with a general historical introduction to aperiodic crystals, the book proceeds to examine the complex mathematics of aperiodic long-range order, as well as the theoretical approaches aimed at understanding some of the unique properties and mechanisms underlying the existence of aperiodic crystals. The book then explores in detail such topics as complex metallic alloys, modulated structures, quasicrystals and their approximants, dynamics, disorder and defects in quasicrystals. It concludes with an analysis of quasicrystal surfaces and their properties.

By describing the latest research and the progress made on the structure determination of aperiodic crystals and the influence of this unique structure on their physical properties, this book represents a valuable resource to mathematicians, crystallographers, physicists, chemists, materials and surface scientists, and even architects and artists, interested in the fascinating nature of aperiodic crystals.

Inhaltsverzeichnis

Frontmatter

2013 | OriginalPaper | Buchkapitel

Chapter 1. A Brief History of Aperiodic Crystals: 1962–2012

T. Janssen

2013 | OriginalPaper | Buchkapitel

Chapter 2. Squiral Diffraction

Uwe Grimm, Michael Baake

2013 | OriginalPaper | Buchkapitel

Chapter 3. Random Noble Means Substitutions

Michael Baake, Markus Moll

2013 | OriginalPaper | Buchkapitel

Chapter 4. Magic Numbers in the Discrete Tomography of Cyclotomic Model Sets

Christian Huck

2013 | OriginalPaper | Buchkapitel

Chapter 5. Some Comments on the Inverse Problem of Pure Point Diffraction

Venta Terauds, Michael Baake

2013 | OriginalPaper | Buchkapitel

Chapter 6. Well-Rounded Sublattices and Coincidence Site Lattices

P. Zeiner

2013 | OriginalPaper | Buchkapitel

Chapter 7. Octagon-Based Quasicrystalline Formations in Islamic Architecture

Rima Al Ajlouni

2013 | OriginalPaper | Buchkapitel

Chapter 8. The Ammann–Beenker Tilings Revisited

Nicolas Bédaride, Thomas Fernique

2013 | OriginalPaper | Buchkapitel

Chapter 9. Substitution Rules and Topological Properties of the Robinson Tilings

Franz Gähler

2013 | OriginalPaper | Buchkapitel

Chapter 10. Short-Range Spin Fluctuation in the Zn–Mg–Tb Quasicrystal and Its Relation to the Boson Peak

I. Kanazawa, M. Saito, T. Sasaki

2013 | OriginalPaper | Buchkapitel

Chapter 11. Anomalous Properties and the Electronic Glass-Like State in Al-Based Stable Quasicrystals

Kohei Yamada, Tomoaki Sasaki, Ikuzo Kanazawa

2013 | OriginalPaper | Buchkapitel

Chapter 12. Quantum Diffusion in Separable d-Dimensional Quasiperiodic Tilings

Stefanie Thiem, Michael Schreiber

2013 | OriginalPaper | Buchkapitel

Chapter 13. Hume–Rothery Stabilization Mechanism of Be-Based Complex Alloys

H. Sato, M. Inukai, E. S. Zijlstra, U. Mizutani

2013 | OriginalPaper | Buchkapitel

Chapter 14. Hume–Rothery Stabilization Mechanism in Tsai-Type Cd6Ca Approximant and e/a Determination of Ca and Cd Elements in the Periodic Table

U. Mizutani, M. Inukai, H. Sato, K. Nozawa, E. S. Zijlstra

2013 | OriginalPaper | Buchkapitel

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

U. Mizutani, M. Inukai, H. Sato, E. S. Zijlstra

2013 | OriginalPaper | Buchkapitel

Chapter 16. Analysis of Dislocations in Quasicrystals Composed of Self-assembled Nanoparticles

Liron Korkidi, Kobi Barkan, Ron Lifshitz

2013 | OriginalPaper | Buchkapitel

Chapter 17. Average Unit Cell in Fourier Space and Its Application to Decagonal Quasicrystals

B. Kozakowski, J. Wolny

2013 | OriginalPaper | Buchkapitel

Chapter 18. A Study of Phase Equilibria in the Al–Pd–Co System at 700 ∘C

I. Černičková, R. Čička, P. Švec, D. Janičkovič, P. Priputen, J. Janovec

2013 | OriginalPaper | Buchkapitel

Chapter 19. Evolution of Phases in Selected Al–Co–Cu Complex Metallic Alloys Under Near-Equilibrium Conditions at 800–1150 ∘C

P. Priputen, T. Y. Liu, I. Černičková, D. Janičkovič, P. Švec, E. Illeková, M. Drienovský, R. Čička, J. Janovec

2013 | OriginalPaper | Buchkapitel

Chapter 20. Superspace Description of the System Bi2(n+2)Mo n O6(n+1) (n=3, 4, 5 and 6)

P. J. Bereciartua, F. J. Zuñiga, J. M. Perez-Mato, V. Petříček, E. Vila, A. Castro, J. Rodríguez-Carvajal, S. Doyle

2013 | OriginalPaper | Buchkapitel

Chapter 21. Pseudo-Commensurate GdBaCo2O5+δ and Its Phase Transition at Elevated Temperatures

N. Ishizawa, T. Asaka, T. Kudo, K. Fukuda, N. Abe, T. Arima

2013 | OriginalPaper | Buchkapitel

Chapter 22. Al4(Cr,Fe): A Structure Survey

B. Bauer, B. Pedersen, F. Frey

2013 | OriginalPaper | Buchkapitel

Chapter 23. Phase Transitions in Aperiodic Composite Crystals

P. Rabiller, B. Toudic, C. Mariette, L. Guérin, C. Ecolivet, M. D. Hollingsworth

2013 | OriginalPaper | Buchkapitel

Chapter 24. Pseudo-Symmetry in Tungsten Bronze Type Sr3TiNb4O15

Thomas A. Whittle, William R. Brant, Siegbert Schmid

2013 | OriginalPaper | Buchkapitel

Chapter 25. Structural Investigation of the Incommensurate Modulated Ta2O5⋅Al2O3 System

Denissa T. Murphy, Veronica Fung, Siegbert Schmid

2013 | OriginalPaper | Buchkapitel

Chapter 26. First-Principles Study for Phase Diagrams of Cd–Ca and Cd–Y Tsai-Type Approximants Under Pressure

K. Nozawa, Y. Ishii

2013 | OriginalPaper | Buchkapitel

Chapter 27. The Choice of Vector Basis for Ammann Tiling in a Context of the Average Unit Cell

R. Strzalka, J. Wolny, P. Kuczera

2013 | OriginalPaper | Buchkapitel

Chapter 28. Real Space Structure Factor and Scaling for Quasicrystals

J. Wolny, B. Kozakowski, P. Kuczera, L. Pytlik, R. Strzalka

2013 | OriginalPaper | Buchkapitel

Chapter 29. Direct Observations of Aperiodic Arrangements of Transition-Metal Atoms in Al–Co–Ni Decagonal Quasicrystals by Cs-Corrected HAADF-STEM

A. Yasuhara, K. Saito, K. Hiraga

2013 | OriginalPaper | Buchkapitel

Chapter 30. Arrangement of Transition-Metal Atoms in an Approximant Crystal Related to Al–Cu–Co Decagonal Quasicrystals Studied by Cs-Corrected HAADF-STEM

K. Yubuta, A. Yasuhara, K. Hiraga

2013 | OriginalPaper | Buchkapitel

Chapter 31. Structure of ϵ 16 Phase in Al–Pd–Co System Studied by HREM and X-Ray Diffraction

K. Yubuta, S. Suzuki, R. Simura, K. Sugiyama

2013 | OriginalPaper | Buchkapitel

Chapter 32. Structure of τ 2-Al3Co, a Monoclinic Approximant of the Al–Co Decagonal Quasicrystal

K. Sugiyama, A. Yasuhara, K. Hiraga

2013 | OriginalPaper | Buchkapitel

Chapter 33. Reverse Monte Carlo Study of Diffuse Scattering from a Frustrated Protein System

T. R. Welberry, A. P. Heerdegen, P. D. Carr

2013 | OriginalPaper | Buchkapitel

Chapter 34. Dynamical Flexibility in the Periodic Zn6Sc 1/1-Approximant

Holger Euchner, Tsunetomo Yamada, Helmut Schober, Stephane Rols, Marek Mihalkovič, Ryuji Tamura, Tsutomu Ishimasa, Marc de Boissieu

2013 | OriginalPaper | Buchkapitel

Chapter 35. Trajectories of Colloidal Particles in Laser Fields with Eight-, Ten-, or Twelve-Fold Symmetry and Phasonic Drift

Matthias Sandbrink, Michael Schmiedeberg

2013 | OriginalPaper | Buchkapitel

Chapter 36. Catalytic Properties of Five-Fold Surfaces of Quasicrystal Approximants

M. Krajčí, J. Hafner

2013 | OriginalPaper | Buchkapitel

Chapter 37. Effect of Leaching on Surface Microstructure and Chemical Composition of Al-Based Quasicrystals

T. P. Yadav, M. Lowe, R. Tamura, R. McGrath, H. R. Sharma

Backmatter

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