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Author: David Divincenzo
Publisher: World Scientific
ISBN: 9814493902
Category : Science
Languages : en
Pages : 635
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Book Description
Quasicrystals: The State of the Art has proven to be a useful introduction to quasicrystals for mathematicians, physicists, materials scientists, and students. The original intent was for the book to be a progress report on recent developments in the field. However, the authors took care to adopt a broad, pedagogical approach focusing on points of lasting value. Many subtle and beautiful aspects of quasicrystals are explained in this book (and nowhere else) in a way that is useful for both the expert and the student.In this second edition, some authors have appended short notes updating their essays. Two new chapters have been added. Chapter 16, by Goldman and Thiel, reviews the experimental progress since the first edition (1991) in making quasicrystals, determining their structure, and finding applications. In Chapter 17, Steinhardt discusses the quasi-unit cell picture, a promising, new approach for describing the structure and growth of quasicrystals in terms of a single, repeating, overlapping cluster of atoms.
Author: David Divincenzo
Publisher: World Scientific
ISBN: 9814493902
Category : Science
Languages : en
Pages : 635
Get Book Here
Book Description
Quasicrystals: The State of the Art has proven to be a useful introduction to quasicrystals for mathematicians, physicists, materials scientists, and students. The original intent was for the book to be a progress report on recent developments in the field. However, the authors took care to adopt a broad, pedagogical approach focusing on points of lasting value. Many subtle and beautiful aspects of quasicrystals are explained in this book (and nowhere else) in a way that is useful for both the expert and the student.In this second edition, some authors have appended short notes updating their essays. Two new chapters have been added. Chapter 16, by Goldman and Thiel, reviews the experimental progress since the first edition (1991) in making quasicrystals, determining their structure, and finding applications. In Chapter 17, Steinhardt discusses the quasi-unit cell picture, a promising, new approach for describing the structure and growth of quasicrystals in terms of a single, repeating, overlapping cluster of atoms.
Author: Ted Janssen
Publisher: Oxford University Press
ISBN: 0198824440
Category : Science
Languages : en
Pages : 551
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Book Description
This book explains aperiodic crystals, which cannot be described by the classical model of 3-dimensional periodicities. The study of these new types of material necessitates describing them in dimensions larger than three. It describes the physical and mathematical methods to solve and characterize them, and to understand their physical properties.
Author: Ted Janssen
Publisher: Oxford University Press, USA
ISBN: 0198567774
Category : Science
Languages : en
Pages : 481
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Book Description
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.
Author: Marko Jaric
Publisher: Elsevier
ISBN: 0323140645
Category : Science
Languages : en
Pages : 296
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Book Description
Aperiodicity and Order, Volume 1: Introduction to Quasicrystals deals with various aperiodic types of order in quasicrystals as well as the basic physics of quasicrystalline order and materials. Questions about the nature of order and the order of nature are addressed. This volume is comprised of six chapters; the first of which introduces the reader to icosahedral coordination in metallic crystals, with emphasis on the structural principles of metallic materials that are crystalline and may be expected to carry over to aperiodic materials. The discussion then turns to short- and long-range icosahedral orders in glass, crystals, and quasicrystals. The origins of icosahedral order are explained, and the physical properties of icosahedral materials are described. The chapters that follow focus on the metallurgy of quasicrystals, the crystallography of ideal icosahedral crystals, and stability and deformations in quasicrystalline solids. The book concludes with a discussion on symmetry, elasticity, and hydrodynamics in quasiperiodic structures. A pedagogical review of continuum elastic-hydrodynamic theory for quasicrystals and related structures is presented. This book is intended primarily as an introduction for new students in the field and as a reference for active researchers.
Author: Michael Baake
Publisher: Cambridge University Press
ISBN: 0521869919
Category : Mathematics
Languages : en
Pages : 548
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Book Description
A comprehensive introductory monograph on the theory of aperiodic order, with numerous illustrations and examples.
Author: Roland Currat
Publisher: World Scientific
ISBN: 9814545228
Category :
Languages : en
Pages : 830
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Book Description
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.
Author: Michael Baake
Publisher: Cambridge University Press
ISBN: 1316184382
Category : Mathematics
Languages : en
Pages : 548
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Book Description
Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The underlying mathematics, known as the theory of aperiodic order, is the subject of this comprehensive multi-volume series. This first volume provides a graduate-level introduction to the many facets of this relatively new area of mathematics. Special attention is given to methods from algebra, discrete geometry and harmonic analysis, while the main focus is on topics motivated by physics and crystallography. In particular, the authors provide a systematic exposition of the mathematical theory of kinematic diffraction. Numerous illustrations and worked-out examples help the reader to bridge the gap between theory and application. The authors also point to more advanced topics to show how the theory interacts with other areas of pure and applied mathematics.
Author: Alexander Argyros
Publisher: World Scientific Publishing Company
ISBN: 1911299573
Category : Science
Languages : en
Pages : 552
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Book Description
The focus of this book lies at the meeting point of electromagnetic waveguides and photonic crystals. Although these are both widely studied topics, they have been kept apart until recently. The purpose of the first edition of this book was to give state-of-the-art theoretical and numerical viewpoints about exotic fibres which use “photonic crystal effects” and consequently exhibit some remarkable properties.Since that first edition, photonic crystal fibres have become an important and effective optical device. In this second edition, the description of the theoretical and numerical tools used to study these fibres is enhanced, whilst up-to-date information about the properties, applications and fabrication of these fibres is added./a
Author: Johannes Kellendonk
Publisher: Birkhäuser
ISBN: 3034809034
Category : Mathematics
Languages : en
Pages : 438
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Book Description
What is order that is not based on simple repetition, that is, periodicity? How must atoms be arranged in a material so that it diffracts like a quasicrystal? How can we describe aperiodically ordered systems mathematically? Originally triggered by the – later Nobel prize-winning – discovery of quasicrystals, the investigation of aperiodic order has since become a well-established and rapidly evolving field of mathematical research with close ties to a surprising variety of branches of mathematics and physics. This book offers an overview of the state of the art in the field of aperiodic order, presented in carefully selected authoritative surveys. It is intended for non-experts with a general background in mathematics, theoretical physics or computer science, and offers a highly accessible source of first-hand information for all those interested in this rich and exciting field. Topics covered include the mathematical theory of diffraction, the dynamical systems of tilings or Delone sets, their cohomology and non-commutative geometry, the Pisot substitution conjecture, aperiodic Schrödinger operators, and connections to arithmetic number theory.
Author: Gervais Chapuis
Publisher: World Scientific
ISBN: 9814549940
Category :
Languages : en
Pages : 650
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Book Description
The conference promotes the theoretical and methodological development of crystallographic investigations of aperiodic crystals including modulated structures, polytypes, incommensurate misfit or composite crystals and quasi crystals. It also promotes scientific interchange among groups working in the various fields of aperiodic materials. Special emphasis will be given to multidisciplinary aspects of aperiodicity.
