Quasicrystals / Takeo Fujiwara and Yasushi Ishii.

Format:

Book

Contributor:

Fujiwara, T. (Takeo), 1944-

Ishii, Yasushi.

Series:

Handbook of metal physics

Language:

English

Subjects (All):

Quasicrystals.

Physical Description:

xiii, 359 pages : illustrations ; 25 cm.

Edition:

First edition.

Place of Publication:

Amsterdam ; Boston : Elsevier, 2008.

Summary:

This book is aimed at researchers who are working in a field of quasicrystals to provide a reference to recent developments and ideas in the field and also at graduate students, who intend to study quasicrystals, to provide introduction of ideas. Topics in this book cover an entire field of quasicrystals, both experimental and theoretical, including new developments: the state of the art in quasicrystallography, new families of quasicrystals, phasons in aperiodic solids, ab initio studies on stability mechanism, quantum transport phenomena, elastic/plastic properties and surface of quasicrystals.?? Comprehensive reviews by experts in the field?? Complete reference of original papers and new topics ?? Intelligible introduction of quasicrystals by experts

Contents:

Chapter 1 Introduction to Quasicrystals / Takeo Fujiwara, Yasushi Ishii

1.1 Discovery of non-crystalline rotational symmetry 1

1.2 Quasiperiodic lattice 2

1.3 Icosahedral quasilattice and its symmetry 4

1.4 Phonons and phasons 6

1.5 Electronic structure and related physical properties 8

Chapter 2 Recent Developments of Quasicrystallography / Akiji Yamamoto, Hiroyuki Takakura

2.2 nD description of quasicrystals 14

2.3 Decagonal, dodecagonal and icosahedral coordinate systems 15

2.4 Low-density elimination method 17

2.5 Modification of models in the structure refinement 19

2.6 Higher-dimensional cluster models of decagonal quasicrystals 23

2.7 Higher-dimensional cluster models of icosahedral quasicrystals 29

2.8 Quasicrystal models with fractal occupation domains 36

2.9 Symmetry breaking in clusters 39

2.10 Modulation functions for quasicrystals 43

Chapter 3 New Group of Icosahedral Quasicrystals / Tsutomu Ishimasa

3.2 Classification of icosahedral quasicrystals 50

3.3 Approximants including Tsai-type cluster 50

3.4 Preparation methods of Zn- and Cu-based quasicrystals 54

3.5 Zn-Mg-Sc quasicrystal as a prototype 55

3.6 Other Zn- and Cu-based quasicrystals 58

3.7 Single-quasicrystals and microvoids 63

3.8 Central structure of the Tsai-type cluster 64

3.9 Alloy chemistry and the Tsai-type quasicrystals 67

Chapter 4 Quasicrystals and Approximants in Cd-M Systems and Related Alloys / An-Pang Tsai, Cesar Pay Gomez

4.2 Approximants in the Cd-M systems 78

4.3 Stable quasicrystals of the Cd-Yb class 90

4.4 Hume-Rothery conditions for the stable quasicrystals 98

Chapter 5 Phason Modes in Aperiodic Crystals / M. de Boissieu, R. Currat, S. Francoual

5.1 Introduction: Hydrodynamic modes and quasiperiodic structures 107

5.2 Modulated crystals 116

5.3 Binary composites 126

5.4 Hydrodynamics of icosahedral phases 129

5.5 Phason modes in the icosahedral AlPdMn quasicrystal 142

5.6 Phason modes in other quasicrystals 155

Chapter 6 Electronic Structures and Stability Mechanism of Quasicrystals / Yasushi Ishii, Takeo Fujiwara

6.2 Stability mechanism - Hume-Rothery versus hybridization 173

6.3 Ab initio methods for calculating electronic structures of QCs 176

6.4 Electronic structure of QC-related compounds 179

Chapter 7 Quantum Transport in Quasicrystals and Complex Metallic Alloys / Didier Mayou, Guy Trambly de Laissardiere

7.2 Quantum formalism for electronic transport 211

7.3 Anomalous quantum diffusion and conductivity in periodic and quasiperiodic systems 228

7.4 Evidence of anomalous quantum diffusion in quasicrystals and approximants 245

Chapter 8 Elastic and Plastic Properties of Quasicrystals / S. Takeuchi, K. Edagawa

8.2 Elastic properties 268

8.3 Dislocations and their motion 282

8.4 Mechanical properties 291

8.5 Deformation mechanisms 297

Chapter 9 Ab-Initio Studies of Quasicrystalline Surfaces / M. Krajci, J. Hafner

9.2 Computational method 316

9.3 Fivefold surface of i-Al-Pd-Mn 316

9.4 Study of the tenfold surface of d-Al-Co-Ni 337

9.6 Outlook 351.

Notes:

Includes bibliographical references and index.

ISBN:

9780444514189

044451418X

OCLC:

166379680