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.

Key Features

· Comprehensive reviews by experts in the field · Complete reference of original papers and new topics · Intelligible introduction of quasicrystals by experts


Researchers, Graduate students

Table of Contents

Chapter 1. Introduction to Quasicrystals (Takeo Fujiwara) 1. Discovery of non-crystalline rotational symmetry 2. Quasiperiodic lattice 3. Icosahedral quasilattice and its symmetry 4. Phonons and Phasons 5. Electronic structure and related physical properties Chapter 2. Recent Developments of Quasicrystallography (Akiji Yamamoto) 1. Introduction 2. nD Description of Quasicrystals 3. Decagonal, Dodecagonal and Icosahedral Coordinate Systems 4. Low-Density Elimination Method 5. Modification of Models in the Structure Refinement 5.1. Maximum Entropy Method 5.2. Similarity Transformations 5.3. Application of LDEM to quasicrystals 5.4. Application of nD Maximum Entropy Method 6. Higher-Dimensional Cluster Models of Decagonal Quasicrystals 6.1. Arrangement of Cluster Centers 6.2. Two-Dimensional Structure of d-Al-Cu-Co 6.3. Three-Dimensional Structure of d-Al-Cu-Co 6.4. Application of Higher-Dimensional Cluster Models in Decagonal Quasicrystals. 7. Higher-Dimensional Cluster Models of Icosahedral Quasicrystals 7.1. Atom Positions in Six-Dimensional Space 7.2. Application of Higher-Dimensional Cluster Models in Icosahedral Quasicrystals 8. Quasicrystal Models with Fractal Occupation Domains 9. Symmetry Breaking in Clusters 9.1. Model Building of Lower Symmetric Cluster Models 9.2. Projected Structure 9.3. Application of Low-Symmetric Cluster Models 10. Modulation Functions for Quasicrystals 11. Summary Chapter 3. New Group of Icosohedral Quasicrystals (Tsutomu Ishimasa) 1. Introduction 2. Classification of Icosahedral Quasicrystals


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© 2008
Elsevier Science
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