Aperiodic Crystals

From Modulated Phases to Quasicrystals: Structure and Properties

Author: Ted Janssen,Marc de Boissieu

Publisher: Oxford University Press

ISBN: 0198824440

Category:

Page: 560

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Until the 1970s all materials studied consisted of periodic arrays of unit cells, or were amorphous. A new class of solid state matter called aperiodic crystals has since been uncovered. It is a long range ordered structure, but without lattice periodicity. It is found in a wide range of materials: organic and anorganic compounds, minerals (including a substantial portion of the earths crust), and metallic alloys, under various pressures and temperatures. Because of the lack of periodicity, the usual techniques for the study of structure and physical properties no longer work, and new techniques have to be developed. This book deals with the characterisation of the structure, the structure determination and the study of the physical properties, especially dynamical and electronic properties of aperiodic crystals. The treatment is based on a description in a space with more dimensions than three, the so-called superspace. This allows us to generalise the standard crystallography and to look differently at the dynamics. The three main classes of aperiodic crystals, modulated phases, incommensurate composites and quasicrystals are treated from a unified point of view, which stresses similarities of the various systems. The book assumes as a prerequisite a knowledge of the fundamental techniques of crystallography and the theory of condensed matter, and covers the literature at the forefront of the field. Since the first edition of this book in 2007, the field of aperiodic crystals has developed considerably, with the discovery of new materials and new structures. Progress has been made in structure determination, in the interpretation and understanding of the structural characteristics and in the calculation of electrons and phonons. This new edition reflects these new developments, and it includes discussions of natural quasicrystals, incommensurate magnetic and multiferroic structures, photonic and mesoscopic quasicrystals. The second edition also includes a number of new exercises that give the reader an opportunityt to check their understanding of the material.

Aperiodic Crystals

Author: Siegbert Schmid,Ray L. Withers,Ron Lifshitz

Publisher: Springer Science & Business Media

ISBN: 9400764316

Category: Technology & Engineering

Page: 286

View: 6807

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Aperiodic Crystals collects 37 selected papers from the scientific contributions presented at Aperiodic 2012 - the Seventh International Conference on Aperiodic Crystalsheld held in Cairns, Australia, 2-7 of September 2012. The volume discusses state-of-the-art discoveries, new trends and applications of aperiodic crystals - including incommensurately modulated crystals, composite crystals, and quasicrystals - from a wide range of different perspectives. Starting with a general historical introduction to aperiodic crystals, the book proceeds to examine the complex mathematics of aperiodic long-range order, as well as the theoretical approaches aimed at understanding some of the unique properties and mechanisms underlying the existence of aperiodic crystals. The book then explores in detail such topics as complex metallic alloys, modulated structures, quasicrystals and their approximants, dynamics, disorder and defects in quasicrystals. It concludes with an analysis of quasicrystal surfaces and their properties. By describing the latest research and the progress made on the structure determination of aperiodic crystals and the influence of this unique structure on their physical properties, this book represents a valuable resource to mathematicians, crystallographers, physicists, chemists, materials and surface scientists, and even architects and artists, interested in the fascinating nature of aperiodic crystals.

Aperiodic'97 - Proceedings Of The International Conference On Aperiodic Crystals

Author: Currat Roland,De Boissieu Marc,Verger-gaugry Jean-louis

Publisher: World Scientific

ISBN: 9814545228

Category:

Page: 828

View: 2222

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This book deals with various aspects of aperiodic crystals, quasicrystals, incommensurate crystals, composite crystals, modulated crystals and polytypes. It is mainly oriented towards crystallographic investigations and to the search for new theoretical and methodological methods aiming to model this state of matter and to understand the links between the structure and the properties. Basically multidisciplinary, the book covers many fields of aperiodic crystals, from materials science to mathematics.

Aperiodic Crystals

From Modulated Phases to Quasicrystals

Author: Ted Janssen,Gervais Chapuis,Marc de Boissieu

Publisher: Oxford University Press

ISBN: 0198567774

Category: Science

Page: 466

View: 4336

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Most materials and crystals have an atomic structure which is described by a regular stacking of a microscopic fundamental unit, the unit cell. However, there are also many well ordered materials without such a unit cell. This book deals with the structure determination and a discussion of the main special properties of these materials.

Aperiodic Structures in Condensed Matter

Fundamentals and Applications

Author: Enrique Macia Barber

Publisher: CRC Press

ISBN: 9781420068283

Category: Science

Page: 432

View: 1236

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One of the Top Selling Physics Books according to YBP Library Services Order can be found in all the structures unfolding around us at different scales, including in the arrangements of matter and in energy flow patterns. Aperiodic Structures in Condensed Matter: Fundamentals and Applications focuses on a special kind of order referred to as aperiodic order. The book covers several topics dealing with the role of aperiodic order in numerous domains of the physical sciences and technology. It first presents the most characteristic features of various aperiodic systems. The author then describes theoretical aspects and useful mathematical approaches to properly study the physical systems. Focusing on applied issues, he discusses how to exploit aperiodic order in different technological devices. The author also examines one-, two-, and three-dimensional designs. For those new to the field of aperiodic systems, this book is an excellent guide to the many facets and applications of aperiodic structures.

Incommensurate Crystallography

Author: Sander van Smaalen

Publisher: Oxford University Press

ISBN: 0198570821

Category: Science

Page: 270

View: 3759

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This book fully describes the structures and symmetries of incommensurately modulated crystals and composite crystals. It provides a complete presentation of crystallographic methods of structural analysis in incommensurate crystals, providing the necessary background for a skilled application of superspace methods to aperiodic crystals.

Physical Properties of Quasicrystals

Author: Zbigniew M. Stadnik

Publisher: Springer Science & Business Media

ISBN: 9783540651888

Category: Science

Page: 438

View: 4311

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Quasicrystals are a new form of the solid state which differ from the other two known forms, crystalline and amorphous, by possesing a new type of long-range translational order, called quasiperiodicty, and a noncrystallographic orientational order. This book provides an up-to-date description of the unusual physical properties of these new materials. Emphasis is placed on the experimental results, which are compared with those of the corresponding crystalline and amorphous systems and discussed in terms of modern theoretical models. Written by leading authorities in the field, the book will be of great use both to experienced workers in the field and to uninitiated graduate students.

Crystallography of Quasicrystals

Concepts, Methods and Structures

Author: Walter Steurer,Sofia Deloudi

Publisher: Springer Science & Business Media

ISBN: 3642018998

Category: Science

Page: 384

View: 9259

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From tilings to quasicrystal structures and from surfaces to the n-dimensional approach, this book gives a full, self-contained in-depth description of the crystallography of quasicrystals. It aims not only at conveying the concepts and a precise picture of the structures of quasicrystals, but it also enables the interested reader to enter the field of quasicrystal structure analysis. Going beyond metallic quasicrystals, it also describes the new, dynamically growing field of photonic quasicrystals. The readership will be graduate students and researchers in crystallography, solid-state physics, materials science, solid- state chemistry and applied mathematics.

Quasicrystals

Author: N.A

Publisher: Elsevier

ISBN: 9780080555973

Category: Science

Page: 374

View: 9663

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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

Aperiodic '97

Proceedings of the International Conference on Aperiodic Crystals, Alpe D'Huez, France, 27-31 August 1997

Author: Marc de Boissieu,Jean-Louis Verger-Gaugry,Roland Currat

Publisher: World Scientific Publishing Company Incorporated

ISBN: 9789810233716

Category: Science

Page: 804

View: 8245

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This book deals with various aspects of aperiodic crystals, quasicrystals, incommensurate crystals, (composite crystals, modulated crystals and polytypes. It is mainly oriented towards crystallographic investigations and to the search for new theoretical and methodological methods aiming to model this state of matter and to understand the links between the structure and the properties. Basically multidisciplinary, the book covers many fields of aperiodic crystals, from materials science to mathematics.

Quasicrystals and Geometry

Author: Marjorie Senechal

Publisher: CUP Archive

ISBN: 9780521575416

Category: Mathematics

Page: 286

View: 8169

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This first-ever detailed account of quasicrystal geometry will be of great value to mathematicians at all levels with an interest in quasicrystals and geometry, and will also be of interest to graduate students and researchers in solid state physics, crystallography and materials science.

Useful Quasicrystals

Author: Jean-Marie Dubois

Publisher: World Scientific

ISBN: 9789812567888

Category: Science

Page: 482

View: 1061

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The aim of this book is to acquaint the reader with what the author regards as the most basic characteristics of quasicrystals structure, formation and stability, properties in relationship with the applications of quasicrystalline materials. Quasicrystals are fascinating substances that form a family of specific structures with strange physical and mechanical properties as compared to those of metallic alloys. This, on the one hand, is stimulating intensive research to understand the most basic properties of quasicrystals in the frame of a generalized crystallography. On the other hand, these properties open the way to technological applications, demonstrated or potential, mostly regarding energy savings. This valuable book discusses those various facets of quasicrystals in five chapters, ending with the authorOCOs own interpretation of the properties with respect to their unique structure."

Quasicrystals

An Introduction to Structure, Physical Properties and Applications

Author: Jens-Boie Suck,M. Schreiber,P. Häussler

Publisher: Springer Science & Business Media

ISBN: 3662050285

Category: Science

Page: 564

View: 7601

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The book provides an introduction to all aspects of the physics of quasicrystals. The chapters, each written by an expert in this field, cover quasiperiodic tilings and the modeling of the atomic structure of quasicrystals. The electronic density of states and the calculation of the electronic structure play a key role in this introduction, as does an extensive discussion of the atomic dynamics. The study of defects in quasicrystals by high resolution electron microscopy and the computer simulations of defects and fracture in decorated tilings are important subjects for the application of these aperiodic crystals.

Quasicrystals

An Introduction to Structure, Physical Properties and Applications

Author: Jens-Boie Suck,M. Schreiber,P. Häussler

Publisher: Springer Science & Business Media

ISBN: 9783540642244

Category: Science

Page: 564

View: 9160

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The book provides an introduction to all aspects of the physics of quasicrystals. The chapters, each written by an expert in this field, cover quasiperiodic tilings and the modeling of the atomic structure of quasicrystals. The electronic density of states and the calculation of the electronic structure play a key role in this introduction, as does an extensive discussion of the atomic dynamics. The study of defects in quasicrystals by high resolution electron microscopy and the computer simulations of defects and fracture in decorated tilings are important subjects for the application of these aperiodic crystals.

Introduction to the Mathematics of Quasicrystals

Author: Marko V. Jaric

Publisher: Elsevier

ISBN: 0323159478

Category: Science

Page: 238

View: 9006

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Introduction to the Mathematics of Quasicrystals provides a pedagogical introduction to mathematical concepts and results necessary for a quantitative description or analysis of quasicrystals. This book is organized into five chapters that cover the three mathematical areas most relevant to quasicrystals, namely, the theory of almost periodic functions, the theory of aperiodic tilings, and group theory. Chapter 1 describes the aspects of the theory of tiling in two- and three-dimensional space that are important for understanding some of the ways in which “classical mathematical crystallography is being generalized; this process is to include possible models for aperiodic crystals. Chapter 2 examines the non-local nature of assembly “mistakes that might have significance to the quasicrystals growth. This chapter also describes how closely a physical quasicrystal might be able to approximate a three-dimensional version of tilings. Chapter 3 discusses the theoretical background and concepts of group theory of icosahedral quasicrystals. Chapter 4 presents the local properties of the three-dimensional Penrose tilings and their global construction is described through the projection method. This chapter emphasizes the relationship between quasiperiodic sets of points and quasiperiodic tiling. Chapter 5 explores the analysis of defects in quasicrystals and their kinetics, as well as some properties of the perfect system. This book is of great value to physicists, crystallographers, metallurgists, and beginners in the field of quasicrystals.

Optics of Aperiodic Structures

Fundamentals and Device Applications

Author: Luca Dal Negro

Publisher: CRC Press

ISBN: 9814463086

Category: Technology & Engineering

Page: 530

View: 3485

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This book presents state-of-the-art contributions from a number of leading experts that actively work worldwide in the rapidly growing, highly interdisciplinary, and fascinating fields of aperiodic optics and complex photonics. Edited by Luca Dal Negro, a prominent researcher in these areas of optical science, the book covers the fundamental, computational, and experimental aspects of deterministic aperiodic structures, as well as numerous device and engineering applications to dense optical filters, nanoplasmonics photovoltaics and technologies, optical sensing, light sources, and nonlinear optics.