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Quasicrystals

Quasicrystals Book
Author : D. P. DiVincenzo,Paul J. Steinhardt
Publisher : World Scientific
Release : 1999
ISBN : 9789810241568
Language : En, Es, Fr & De

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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.

Quasicrystals and Geometry

Quasicrystals and Geometry Book
Author : Marjorie Senechal
Publisher : CUP Archive
Release : 1996-09-26
ISBN : 9780521575416
Language : En, Es, Fr & De

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Book Description :

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.

Beyond Quasicrystals

Beyond Quasicrystals Book
Author : Francoise Axel,Denis Gratias
Publisher : Springer
Release : 1995-05-29
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

This book is the collection of most of the written versions of the Courses given at the Winter School "Beyond Quasicrystals" in Les Houches (March 7-18, 1994). The School gathered lecturers and participants from all over the world and was prepared in the spirit of a general effort to promote theoretical and experimental interdisciplinary communication between mathematicians, theoretical and experimental physicists on the topic of the nature of geometric order in solids beyond standard periodicity and quasi periodicity. The overall structure of the book reflects the wish of the editors to pose this fundamental question of geometric order in solids from both the experimental and theoretical point of view. The first part is devoted more specifically to quasicrystals. These materials were the common starting point of most of the audience and present a first concrete example of a non-trivial geometric order. We chose to focus on a few fundamental aspects of quasicrystals related to hidden symmetries in solids which are not easily found in standard textbooks on the topic, not to reach an exhaustive survey which is already available elsewhere.

Quasicrystals

Quasicrystals Book
Author : Christian Janot
Publisher : Oxford University Press
Release : 2012-10-18
ISBN : 0199657408
Language : En, Es, Fr & De

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Book Description :

This primer provides a descriptive approach to the subject of quasicrystals for those coming to it for the first time. The various practical, experimental, and theoretical topics are dealt with in an accessible style. The book is completed by problem sets and there is a computer program that generates a Penrose lattice.

Introduction to Quasicrystals

Introduction to Quasicrystals Book
Author : Marko Jaric
Publisher : Elsevier
Release : 2012-12-02
ISBN : 0323140645
Language : En, Es, Fr & De

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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.

Quasicrystals

Quasicrystals Book
Author : Christian Janot
Publisher : OUP Oxford
Release : 2012-10-18
ISBN : 0191021792
Language : En, Es, Fr & De

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Book Description :

In 1984 physicists discovered a monster in the world of crystallography, a structure that appeared to contain five-fold symmetry axes, which cannot exist in strictly periodic structures. Such quasi-periodic structures became known as quasicrystals. A previously formulated theory in terms of higher dimensional space groups was applied to them and new alloy phases were prepared which exhibited the properties expected from this model more closely. Thus many of the early controversies were dissolved. In 2011, the Nobel Prize for Chemistry was awarded to Dan Shechtman for the discovery of quasicrystals. This primer provides a descriptive approach to the subject for those coming to it for the first time. The various practical, experimental, and theoretical topics are dealt with in an accessible style. The book is completed by problem sets and there is a computer program that generates a Penrose lattice.

Quasicrystals

Quasicrystals Book
Author : J.-B. Suck,M. Schreiber,P. Häussler
Publisher : Springer Science & Business Media
Release : 2013-04-17
ISBN : 3662050285
Language : En, Es, Fr & De

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Book Description :

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.

Useful Quasicrystals

Useful Quasicrystals Book
Author : Jean-Marie Dubois
Publisher : World Scientific
Release : 2005
ISBN : 9789812567888
Language : En, Es, Fr & De

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Book Description :

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

Quasicrystals Book
Author : Hans-Rainer Trebin
Publisher : John Wiley & Sons
Release : 2006-05-12
ISBN : 3527606785
Language : En, Es, Fr & De

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Book Description :

Quasicrystals form a new state of solid matter beside the crystalline and the amorphous. The positions of the atoms are ordered, but with noncrystallographic rotational symmetries and in a nonperiodic way. The new structure induces unusual physical properties, promising interesting applications. This book provides a comprehensive and up-to-date review and presents most recent research results, achieved by a collaboration of physicists, chemists, material scientists and mathematicians within the Priority Programme "Quasicrystals: Structure and Physical Properties" of the Deutsche Forschungsgemeinschaft (DFG). Starting from metallurgy, synthesis and characterization, the authors carry on with structure and mathematical modelling. On this basis electronic, magnetic, thermal, dynamic and mechanical properties are dealt with and finally surfaces and thin films.

Quasicrystals

Quasicrystals Book
Author : Esther Belin-Ferr‚
Publisher : World Scientific
Release : 2000
ISBN : 9789810242817
Language : En, Es, Fr & De

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Book Description :

This book focuses on current topics in quasicrystal science and research. Various themes are addressed, such as atomic structure, growth of quasicrystals, statistical physics and thermodynamics, magnetism, phasons, propagation of waves, surfaces and technological potential of quasicrystals. Insight into basics in physics and chemistry is also given, with examples from metallurgy, the surface of alloys, plasticity, etc., in order to point out the possible genuine aspects of quasicrystals and allow a better comparison with conventional alloys.

Crystallography of Quasicrystals

Crystallography of Quasicrystals Book
Author : Steurer Walter,Sofia Deloudi
Publisher : Springer Science & Business Media
Release : 2009-08-26
ISBN : 3642018998
Language : En, Es, Fr & De

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Book Description :

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.

Physical Properties of Quasicrystals

Physical Properties of Quasicrystals Book
Author : Zbigniew M. Stadnik
Publisher : Springer Science & Business Media
Release : 2012-12-06
ISBN : 3642584349
Language : En, Es, Fr & De

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Book Description :

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.

Quasicrystals and Discrete Geometry

Quasicrystals and Discrete Geometry Book
Author : Jiri Patera
Publisher : American Mathematical Soc.
Release : 1998-01-01
ISBN : 9780821871683
Language : En, Es, Fr & De

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Book Description :

Download Quasicrystals and Discrete Geometry book written by Jiri Patera, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Mathematical Theory of Elasticity of Quasicrystals and Its Applications

Mathematical Theory of Elasticity of Quasicrystals and Its Applications Book
Author : Tianyou Fan
Publisher : Springer Science & Business Media
Release : 2011-05-25
ISBN : 3642146430
Language : En, Es, Fr & De

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Book Description :

This inter-disciplinary work covering the continuum mechanics of novel materials, condensed matter physics and partial differential equations discusses the mathematical theory of elasticity of quasicrystals (a new condensed matter) and its applications by setting up new partial differential equations of higher order and their solutions under complicated boundary value and initial value conditions. The new theories developed here dramatically simplify the solving of complicated elasticity equation systems. Large numbers of complicated equations involving elasticity are reduced to a single or a few partial differential equations of higher order. Systematical and direct methods of mathematical physics and complex variable functions are developed to solve the equations under appropriate boundary value and initial value conditions, and many exact analytical solutions are constructed. The dynamic and non-linear analysis of deformation and fracture of quasicrystals in this volume presents an innovative approach. It gives a clear-cut, strict and systematic mathematical overview of the field. Comprehensive and detailed mathematical derivations guide readers through the work. By combining mathematical calculations and experimental data, theoretical analysis and practical applications, and analytical and numerical studies, readers will gain systematic, comprehensive and in-depth knowledge on continuum mechanics, condensed matter physics and applied mathematics.

Quasicrystals

Quasicrystals Book
Author : Enrique Maciá-Barber
Publisher : CRC Press
Release : 2020-12-18
ISBN : 1351209140
Language : En, Es, Fr & De

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Book Description :

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 Maciá-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.

Quasicrystals

Quasicrystals  Book
Author : Antony J. Bourdillon
Publisher : AuthorHouse
Release : 2010-04-01
ISBN : 1449083951
Language : En, Es, Fr & De

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Book Description :

Quasicrystalline material contained, for twenty five years, the most fundamental unsolved structural problem in condensed matter physics. Quasicrystals' 2D tiles in 3D superclusters compiles further illustrations of the solution proposed in Quasicrystals - and quasi drivers. "This is new...and interesting." Reviews scatter widely as is expected for novel theories. The structural driving force is the icosahedral subcluster. Agglomerations 'rapidly solidify' into clusters and superclusters. The icosahedra share edges that outline 2D tiles. The tiles close the surface of a regular dodecahedron. In 3D, the tiles become pseudo space filling. The superclusters are supertiles that 'stretch' and 'force the border'. As in the diffraction pattern, the periodicity on the superclusters is 'logarithmic.' In this geometry, the tiles, clusters and superclusters are uniquely oriented. New physical effects became apparent from the simulation of diffraction patterns: Angular Filtering that is responsible for the sharp diffraction; a Compromise Spacing Effect that determines dimensions; Logarithmically Periodic electronic band structures and dispersion curves, etc. Quasi science? Referees who can't answer rebuttals are zero, hence this book. The internet is free...

Natural Quasicrystals

Natural Quasicrystals Book
Author : Luca Bindi
Publisher : Springer Nature
Release : 2020-04-20
ISBN : 3030456773
Language : En, Es, Fr & De

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Book Description :

This book describes the discovery of quasicrystals (icosahedral and decagonal) in an extraterrestrial rock from the Koryak Mountains of Far Eastern Russia. After a decade-long search for a natural quasicrystal, this discovery opened a new avenue in mineralogy and crystallography that could lead to further discoveries in geoscience, astronomy, condensed matter physics, and materials engineering. For the first time, minerals have been discovered that violate the symmetry restrictions of conventional crystallography. The natural occurrence of such crystals was unexpected, involving previously unknown processes. The fact that the quasicrystals were found in a meteorite formed in the earliest moments of the solar system means these processes have been active for over 4.5 billion years and have influenced the composition of the first objects to condense around the Sun. Finding quasicrystals formed in these extreme environments also informed the longstanding debate concerning the stability and robustness of quasicrystals. Recent shock experiments lend support to the hypothesis that the extraterrestrial quasicrystals formed as a result of hypervelocity impacts between objects in the early Solar system, and that they are probably less rare in the Milky Way.

Beyond Quasicrystals

Beyond Quasicrystals Book
Author : Francoise Axel,Denis Gratias
Publisher : Springer Science & Business Media
Release : 2013-06-29
ISBN : 3662031302
Language : En, Es, Fr & De

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Book Description :

This book is the collection of most of the written versions of the Courses given at the Winter School "Beyond Quasicrystals" in Les Houches (March 7-18, 1994). The School gathered lecturers and participants from all over the world and was prepared in the spirit of a general effort to promote theoretical and experimental interdisciplinary communication between mathematicians, theoretical and experimental physicists on the topic of the nature of geometric order in solids beyond standard periodicity and quasi periodicity. The overall structure of the book reflects the wish of the editors to pose this fundamental question of geometric order in solids from both the experimental and theoretical point of view. The first part is devoted more specifically to quasicrystals. These materials were the common starting point of most of the audience and present a first concrete example of a non-trivial geometric order. We chose to focus on a few fundamental aspects of quasicrystals related to hidden symmetries in solids which are not easily found in standard textbooks on the topic, not to reach an exhaustive survey which is already available elsewhere.

Mathematical Theory of Elasticity of Quasicrystals and Its Applications

Mathematical Theory of Elasticity of Quasicrystals and Its Applications Book
Author : Tian-You Fan
Publisher : Springer
Release : 2016-09-20
ISBN : 9811019843
Language : En, Es, Fr & De

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Book Description :

This interdisciplinary work on condensed matter physics, the continuum mechanics of novel materials, and partial differential equations, discusses the mathematical theory of elasticity and hydrodynamics of quasicrystals, as well as its applications. By establishing new partial differential equations of higher order and their solutions under complicated boundary value and initial value conditions, the theories developed here dramatically simplify the solution of complex elasticity problems. Comprehensive and detailed mathematical derivations guide readers through the work. By combining theoretical analysis and experimental data, mathematical studies and practical applications, readers will gain a systematic, comprehensive and in-depth understanding of condensed matter physics, new continuum mechanics and applied mathematics. This new edition covers the latest developments in quasicrystal studies. In particular, it pays special attention to the hydrodynamics, soft-matter quasicrystals, and the Poisson bracket method and its application in deriving hydrodynamic equations. These new sections make the book an even more useful and comprehensive reference guide for researchers working in Condensed Matter Physics, Chemistry and Materials Science.

Quasicrystals Proceedings Of The 5th International Conference

Quasicrystals   Proceedings Of The 5th International Conference Book
Author : Janot C,Mosseri R
Publisher : World Scientific
Release : 1995-12-22
ISBN : 9814548650
Language : En, Es, Fr & De

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Book Description :

This volume presents the newest results and developments in the fast-moving field of astroparticle physics. The following topics are covered: dark matter, baryogenesis, neutrino physics and astrophysics, inflation, topological defects, cosmic ray physics and cosmological implications of grand unification, supersymmetry, superstrings and extra dimensions.