Quasicrystals, Volume 3

1st Edition

Series Volume Editors: Takeo Fujiwara Yasushi Ishii
Hardcover ISBN: 9780444514189
eBook ISBN: 9780080555973
Imprint: Elsevier Science
Published Date: 15th November 2007
Page Count: 374
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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

Description

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

Readership

Researchers, Graduate students


Details

No. of pages:
374
Language:
English
Copyright:
© Elsevier Science 2008
Published:
Imprint:
Elsevier Science
eBook ISBN:
9780080555973
Hardcover ISBN:
9780444514189

Reviews

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.


About the Series Volume Editors

Takeo Fujiwara Series Volume Editor

Takeo Fujiwara has been working on quasicrystals since soon after the discovery of quasicrystals and contributing to developing new ideas on quasicrystals: TF are working on mainly electronic structures of quasiperiodic systems and real quasicrystalline materials and YI are working on “phason”-related instability of quasicrystals as well as electronic structures.

Affiliations and Expertise

University of Tokyo, Japan

Yasushi Ishii Series Volume Editor

Yasushi Ishii has been working on quasicrystals since soon after the discovery of quasicrystals and contributing to developing new ideas on quasicrystals: TF are working on mainly electronic structures of quasiperiodic systems and real quasicrystalline materials and YI are working on “phason”-related instability of quasicrystals as well as electronic structures.

Affiliations and Expertise

Chuo University, Toyo, Japan