Elsevier S & T

Quasicrystals

Fujiwara, Takeo

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Table of contents
  • Cover
  • Contentsxi
  • Prefacevii
  • Chapter 1. Introduction to Quasicrystals1
  • 1.1. Discovery of non-crystalline rotational symmetry1
  • 1.2. Quasiperiodic lattice2
  • 1.3. Icosahedral quasilattice and its symmetry4
  • 1.4. Phonons and phasons6
  • 1.5. Electronic structure and related physical properties8
  • Chapter 2. Recent Developments of Quasicrystallography11
  • 2.1. Introduction11
  • 2.2. nD description of quasicrystals14
  • 2.3. Decagonal, dodecagonal, and icosahedral coordinate systems15
  • 2.4. Low-density elimination method17
  • 2.5. Modification of models in the structure refinement19
  • 2.6. Higher-dimensional cluster models of decagonal quasicrystals23
  • 2.7. Higher-dimensional cluster models of icosahedral quasicrystals29
  • 2.8. Quasicrystal models with fractal occupation domains36
  • 2.9. Symmetry breaking in clusters39
  • 2.10. Modulation functions for quasicrystals43
  • 2.11. Summary43
  • Chapter 3. New Group of Icosahedral Quasicrystals49
  • 3.1. Introduction49
  • 3.2. Classification of icosahedral quasicrystals50
  • 3.3. Approximants including Tsai-type cluster50
  • 3.4. Preparation methods of Zn- and Cu-based quasicrystals54
  • 3.5. Zn–Mg–Sc quasicrystal as a prototype55
  • 3.6. Other Zn- and Cu-based quasicrystals58
  • 3.7. Single-quasicrystals and microvoids63
  • 3.8. Central structure of the Tsai-type cluster64
  • 3.9. Alloy chemistry and the Tsai-type quasicrystals67
  • 3.10. Conclusion71
  • Chapter 4. Quasicrystals and Approximants in Cd-M Systems and Related Alloys75
  • 4.1. Introduction75
  • 4.2. Approximants in the Cd-M systems78
  • 4.3. Stable quasicrystals of the Cd–Yb class90
  • 4.4. Hume-Rothery conditions for the stable quasicrystals98
  • 4.5. Concluding remarks104
  • Chapter 5. Phason Modes in Aperiodic Crystals107
  • 5.1. Introduction: Hydrodynamic modes and quasiperiodic structures107
  • 5.2. Modulated crystals116
  • 5.3. Binary composites126
  • 5.4. Hydrodynamics of icosahedral phases129
  • 5.5. Phason modes in the icosahedral AlPdMn quasicrystal142
  • 5.6. Phason modes in other quasicrystals155
  • 5.7. Conclusion162
  • Chapter 6. Electronic Structures and Stability Mechanism of Quasicrystals171
  • 6.1. Introduction171
  • 6.2. Stability mechanism – Hume-Rothery versus hybridization173
  • 6.3. Ab initio methods for calculating electronic structures of QCs176
  • 6.4. Electronic structure of QC-related compounds179
  • 6.5. Concluding remarks203
  • Chapter 7. Quantum Transport in Quasicrystals and Complex Metallic Alloys209
  • 7.1. Introduction209
  • 7.2. Quantum formalism for electronic transport211
  • 7.3. Anomalous quantum diffusion and conductivity in periodic and quasiperiodic systems228
  • 7.4. Evidence of anomalous quantum diffusion in quasicrystals and approximants245
  • 7.5. Conclusion261
  • Chapter 8. Elastic and Plastic Properties of Quasicrystals267
  • 8.1. Introduction267
  • 8.2. Elastic properties268
  • 8.3. Dislocations and their motion282
  • 8.4. Mechanical properties291
  • 8.5. Deformation mechanisms297
  • Chapter 9. Ab-Initio Studies of Quasicrystalline Surfaces313
  • 9.1. Introduction313
  • 9.2. Computational method316
  • 9.3. Fivefold surface of i-Al–Pd–Mn316
  • 9.4. Study of the tenfold surface of d-Al–Co–Ni337
  • 9.5. Summary349
  • 9.6. Outlook351
  • Index357
Book details
  • Vendor Elsevier S & T
  • SKU 9780444514189
  • ISBN-13 9780080555973
  • Author Fujiwara, Takeo
  • Category Technology & Engineering
  • Subject Metallurgy

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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