Quasicrystals : fundamentals and applications / Enrique Maciá-Barber.

Format:

Book

Author/Creator:

Barber, Enrique Maciá, author.

Language:

English

Subjects (All):

Quasicrystals.

Physical Description:

xiii, 388 pages : illustrations (black and white) ; 26 cm

Edition:

First edition.

Place of Publication:

Boca Raton : CRC Press, [2021]

Summary:

This book provides an interdisciplinary guide to quasicrystals, the 2011 Nobel Prize in Chemistry winning topic, by presenting an up-to-date and detailed introduction to the many fundamental aspects and applications of quasicrystals science. It reviews the most characteristic features of the peculiar geometric order underlying their structure and their reported intrinsic physical properties, along with their potential for specific applications. The role of quasiperiodic order in science and technology is also examined by focusing on the new design capabilities provided by this novel ordering of matter. This book is specifically devoted to promoting the very notion of quasiperiodic order, and to spur its physical implications and technological capabilities. It, therefore, explores the fundamental aspects of intermetallic, photonic, and phononic quasicrystals, as well as soft-matter quasicrystals, including their intrinsic physical and structural properties. In addition, it thoroughly discusses experimental data and related theoretical approaches to explain them, extending the standard treatment given in most current solid state physics literature. It also explores exciting applications in new technological devices of quasiperiodically ordered systems, including multilayered quasiperiodic systems, along with 2D and 3D designs, whilst outlining new frontiers in quasicrystals research. This book can be used as a reader-friendly introductory text for graduate students, in addition to senior scientists and researchers coming from the fields of physics, chemistry, materials science, and engineering. Key features: Provides an updated and detailed introduction to the interdisciplinary field of quasicrystals in a tutorial style, considering both fundamental aspects and additional freedom degrees provided by designs based on quasiperiodically ordered materials. Includes 50 fully worked out exercises with detailed solutions, motivating, and illustrating the different concepts and notions to provide readers with further learning opportunities. Presents a complete compendium of the current state of the art knowledge of quasicrystalline matter, and outlines future next generation materials based on quasiperiodically ordered designs for their potential use in useful technological devices. Dr. Enrique Maci-Barber is Professor of condensed matter physics at the Universidad Complutense de Madrid. His research interests include the thermoelectric properties of quasicrystals and DNA biophysics. In 2010 he received the RSEF- BBVA Foundation Excellence Physics Teaching Award. His book Aperiodic Structures in Condensed Matter: Fundamentals and Applications (CRC Press, Boca-Raton, 2009) is one of the Top Selling Physics Books according to YBP Library Services.

Contents:

Machine generated contents note: ch. 1 Intermetallic Quasicrystals

1.1. What Is A Quasicrystal?

1.1.1. The Al86Mn14 alloy electron diffraction picture

1.1.2. A novel crystallographic symmetry

1.1.3. The sequel: axial quasicrystals

1.1.4. Thermodynamically stable quasicrystals grow large

1.1.5. Revamping the very crystal notion

1.1.6. The reciprocal space take-over

1.2. Mineral Quasicrystals

1.3. Hierarchy And Quasiperiodicity

1.3.1. Scale invariance symmetry

1.3.2. Almost periodic and quasiperiodic functions

1.3.3. Local isomorphism

1.4. Crystallography In The Hyperspace

1.4.1. The cut-and-project method

1.4.2. The Radon transform method

1.4.3. Statistical methods

1.4.4. Approximant crystals

1.4.5. Phasonic freedom degrees

1.5. Quasicrystals As Atomic Clusters Aggregates

1.5.1. Nested polyhedra building blocks

1.5.2. Cluster based classification of intermetallic quasicrystals

1.5.3. Beyond purely geometric designs?

1.5.4. Intermetallic quasicrystals growth and stability

1.6. Exercises With Solutions

ch. 2 Hamiltonian Quasicrystals

2.1. From Hyperlattices To Quasiperiodic Solids

2.2. Spectral Classification Charts

2.3. One-Dimensional Model Hamiltonians

2.3.1. Energy and frequency spectra in 1D quasicrystals

2.3.2. General binary aperiodic crystals

2.3.3. Fibonacci quasicrystal tridiagonal model

2.4. Hierarchical Structure Of Electronic Spectra

2.4.1. Self-similar blocking schemes

2.4.2. Inflation symmetry commutators

2.4.3. Zeroth-order energy spectra of binary aperiodic crystals

2.4.4. Anatomy of the energy spectrum in Fibonacci quasicrystals

2.4.4.1. First-order fragmentation pattern

2.4.4.2. Second-order fragmentation pattern

2.4.4.3. Higher-order fragmentation patterns

2.5. Frequency Spectrum Of One-Dimensional Quasicrystals

2.6. Eigenstates In Quasiperiodic Potentials

2.6.1. Wave functions in periodic and random systems

2.6.2. The notion of critical eigenstates

2.6.3. Generalizing the Bloch function notion

2.7. Transport Properties Of Critical States

2.8. Two-Dimensional Model Hamiltonians

2.9. Exercises With Solutions

ch. 3 Physical Properties of Intermetallic Quasicrystals

3.1. Unconventional Solids Made Of Metallic Atoms

3.2. Electronic Structure

3.2.1. Hume-Rothery electron concentration rule

3.2.2. Density of states around the Fermi energy

3.2.3. Spectral conductivity function

3.3. Specific Heat Measurements

3.3.1. General considerations

3.3.2. Quasicrystals and approximant phases

3.4. Electrical Transport Properties

3.4.1. Electrical conductivity

3.4.2. Inverse Matthiessen rule

3.4.3. Optical conductivity

3.4.4. Current-voltage curves

3.4.5. Superconductivity?

3.5. Seebeck Coefficient

3.6. Hall Coefficient And Magnetoresistance

3.7. Magnetic Properties

3.8. Thermal Transport Properties

3.8.1. General considerations

3.8.2. Thermal conductivity of quasicrystals

3.8.3. Assessing Wiedemann-Franz law in quasicrystals

3.9. Mechanical And Tribological Properties

3.10. Correlations Among Transport Coefficients

3.11. On The Nature Of Chemical Bond In Quasicrystals

3.11.1. Comparison among different alloy systems

3.11.2. The chemical synthesis route to new quasicrystals

3.11.3. Assessing the quasiperiodic order role

3.12. Exercises With Solutions

ch. 4 Photonic and Phononic Quasicrystals

4.1. Quasiperiodic Order Beyond Atomic Domain

4.2. Layered Optical Structures

4.2.1. A broad palette of possible designs

4.2.2. Exploiting local symmetries

4.2.3. Stacking metamaterials

4.3. Photonic Quasicrystal Tilings

4.3.1. Photonic band structures

4.3.2. Electric field patterns

4.3.3. Optical lattices

4.4. Photonic Quasicrystals In Three Dimensions

4.4.1. Axial photonic quasicrystals

4.4.2. Icosahedral photonic quasicrystals

4.4.3. Spherical and cylindrical geometries

4.5. Phononic Quasicrystals

4.5.1. Frequency spectrum of Fibonacci superlattices

4.5.2. Surface acoustic waves

4.6. Exercises With Solutions

ch. 5 Actual and Prospective Applications of Quasicrystals

5.1. Intermetallic Quasicrystals: An Overview

5.2. Applications Based On Tribological Properties

5.2.1. Hard, low-friction, and corrosion-resistant coatings

5.2.2. Thermal barriers

5.2.3. Solar selective absorbers

5.3. Quasicrystal Based Composites

5.4. Green Energy Applications

5.4.1. Surface catalysis

5.4.2. Hydrogen storage

5.4.3. Rechargeable batteries

5.4.4. Thermoelectric devices

5.5. Optical Devices

5.5.1. Photonic bandgap engineering

5.5.2. Photovoltaic solar cells

5.5.3. Thermophotovoltaic devices

5.5.4. Thermal emission control

5.5.5. Daytime radiative coolers

5.5.6. Fibonacci lenses

5.5.7. High-harmonics generation

5.6. Exercises With Solutions

ch. 6 New Frontiers in Quasicrystals Science

6.1. Extending The Quasicrystal Realm

6.1.1. Oxide quasicrystals

6.1.2. Organic quasicrystals

6.1.3. Soft quasicrystals

6.1.3.1. Supramolecular dendrimers

6.1.3.2. Block copolymers

6.1.3.3. Nanoparticles

6.1.4. Biological quasicrystals

6.1.4.1. DNA nanomotifs

6.1.4.2. Icosahedral viruses geometrical design

6.1.4.3. Chemical interactions and virus symmetries

6.1.4.4. Quasi-equivalence principle limitations

6.1.4.5. Virus quasicrystals?

6.2. The Quest For Perfect Quasicrystals

6.3. From Quasicrystals To Hypercrystals

6.3.1. On the quasicrystal notion and definition

6.3.2. High n-fold quasicrystals?

6.3.3. Quasicrystals and number theory

6.4. Exercises With Solutions.

Notes:

Includes bibliographical references and index.

Other Format:

Electronic version: Barber, Enrique Maciá. Quasicrystals.

ISBN:

9780815381808

0815381808

OCLC:

1012346336

Publisher Number:

99987420428