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Incommensurate Crystals Liquid Crystals And Quasi Crystals
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Book Synopsis Incommensurate Crystals, Liquid Crystals, and Quasi-Crystals by : J.F. Scott
Download or read book Incommensurate Crystals, Liquid Crystals, and Quasi-Crystals written by J.F. Scott and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this NATO-sponsored Advanced Research Workshop we succeeded in bringing together approximately forty scientists working in the three main areas of structurally incommensurate materials: incommensurate crystals (primarily ferroelectric insulators), incommensurate liquid crystals, and metallic quasi-crystals. Although these three classes of materials are quite distinct, the commonality of the physics of the origin and descrip tion of these incommensurate structures is striking and evident in these proceedings. A measure of the success of this conference was the degree to which interaction among the three subgroups occurred; this was facili tated by approximately equal amounts of theory and experiment in the papers presented. We thank the University of Colorado for providing pleasant housing and conference facilities at a modest cost, and we are especially grate ful to Ann Underwood, who retyped all the manuscripts into camera-ready form. J. F. Scott Boulder, Colorado N. A. Clark v CONTENTS PART I: INCOMMENSURATE CRYSTALS A. Theory A PHENOMENOLOGICAL THEORY OF THE TRANSITION SEQUENCE INCLUDING AN INCOMMENSURATE (COMMENSURATE) PHASE SANDWICHED BY REENTRANT COMMENSURATE (INCOMMENSURATE) PHASE - Yoshihiro Ishibashi . . . . . 1 DAUPHINE-TWIN DOMAIN CONFIGURATIONS IN QUARTZ AND ALUMINUM PHOSPHATE - M. B. Wa lker . . . . . . . . . . 9 ELASTIC AND INELASTIC SCATTERING FROM QUASI-PERIODIC STRUCTURES - T. Janssen and R. Currat . . . . . 19 ARE EXOTIC CONSEQUENCES OF INCOMMENSURABILITY IN SOLIDS EXPERIMENTALLY OBSERVABLE? - J. B. Sokoloff. 35 B. Theory - Numerical l1ethods THE APPLICATION OF AXIAL ISING MODELS TO THE DESCRIPTION OF MODULATED ORDER - Julia Yeomans . . 45 TWO-DIMENSIONAL MODELS OF COMMENSURATE-INCOMMENSURATE PHASE TRANSITIONS - Palll D. Beale . . .
Book Synopsis Incommensurate Crystals, Liquid Crystals, and Quasi-Crystals by : J.F. Scott
Download or read book Incommensurate Crystals, Liquid Crystals, and Quasi-Crystals written by J.F. Scott and published by Springer. This book was released on 2012-05-29 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this NATO-sponsored Advanced Research Workshop we succeeded in bringing together approximately forty scientists working in the three main areas of structurally incommensurate materials: incommensurate crystals (primarily ferroelectric insulators), incommensurate liquid crystals, and metallic quasi-crystals. Although these three classes of materials are quite distinct, the commonality of the physics of the origin and descrip tion of these incommensurate structures is striking and evident in these proceedings. A measure of the success of this conference was the degree to which interaction among the three subgroups occurred; this was facili tated by approximately equal amounts of theory and experiment in the papers presented. We thank the University of Colorado for providing pleasant housing and conference facilities at a modest cost, and we are especially grate ful to Ann Underwood, who retyped all the manuscripts into camera-ready form. J. F. Scott Boulder, Colorado N. A. Clark v CONTENTS PART I: INCOMMENSURATE CRYSTALS A. Theory A PHENOMENOLOGICAL THEORY OF THE TRANSITION SEQUENCE INCLUDING AN INCOMMENSURATE (COMMENSURATE) PHASE SANDWICHED BY REENTRANT COMMENSURATE (INCOMMENSURATE) PHASE - Yoshihiro Ishibashi . . . . . 1 DAUPHINE-TWIN DOMAIN CONFIGURATIONS IN QUARTZ AND ALUMINUM PHOSPHATE - M. B. Wa lker . . . . . . . . . . 9 ELASTIC AND INELASTIC SCATTERING FROM QUASI-PERIODIC STRUCTURES - T. Janssen and R. Currat . . . . . 19 ARE EXOTIC CONSEQUENCES OF INCOMMENSURABILITY IN SOLIDS EXPERIMENTALLY OBSERVABLE? - J. B. Sokoloff. 35 B. Theory - Numerical l1ethods THE APPLICATION OF AXIAL ISING MODELS TO THE DESCRIPTION OF MODULATED ORDER - Julia Yeomans . . 45 TWO-DIMENSIONAL MODELS OF COMMENSURATE-INCOMMENSURATE PHASE TRANSITIONS - Palll D. Beale . . .
Book Synopsis Geometry and Thermodynamics by : J.C. Tolédano
Download or read book Geometry and Thermodynamics written by J.C. Tolédano and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Distinct scientific communities are usually involved in the three fields of quasi-crystals, of liquid crystals, and of systems having modulated crystalline structures. However, in recent years, there has been a growing feeling that a number of common problems were encountered in the three fields. These comprise the need to recur to "exotic" spaces for describing the type of order of the atomic or molecular configurations of these systems (Euclidian "superspaces" of dimensions greater than 3, or 4-dimensional curved spaces); the recognition that one has to deal with geometrically frustrated systems, and also the occurence of specific excitations (static or dynamic) resulting from the continuous degeneracies of the stable structures considered. In the view of discussing these problems, aNA TO-Advance Research Workshop has assembled in Preveza (Greece), in september 1989,50 experts of the three considered fields (with an equal proportion of theorists and experimentalists). 35 hours of conferences and discussions have led to a more detailed evaluation of the similarities and of the differences in the approaches implemented in the studies of the three types of systems. The papers contained in this NATO-series book provide the substance of this workshop. The reader will find three types of papers. Some very short papers giving the main ideas stated on a subject. Papers comprising 8-10 pages which stick closely to the contents of the talks presented. Longer papers providing more extensively the background and results relative to a given topic. It is worth summarizing the principal outputs of the workshop.
Book Synopsis Introduction to Quasicrystals by : Marko Jaric
Download or read book Introduction to Quasicrystals written by Marko Jaric and published by Elsevier. This book was released on 2012-12-02 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Theory of Incommensurate Crystals by : V. L. Pokrovsky
Download or read book Theory of Incommensurate Crystals written by V. L. Pokrovsky and published by Routledge. This book was released on 1984 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Crystallography and Crystal Defects by : Anthony Kelly
Download or read book Crystallography and Crystal Defects written by Anthony Kelly and published by John Wiley & Sons. This book was released on 2012-02-13 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extensively revised and updated, this new edition of a classic text presents a unified approach to crystallography and to the defects found within crystals. The book combines the classical and exact description of symmetry of a perfect crystal with the possible geometries of the major defects-dislocations, stacking faults, point defects, twins, interfaces and the effects of martensitic transformations. A number of important concepts and exciting new topics have been introduced in this second edition, including piezoelectricity, liquid crystals, nanocrystalline concepts, incommensurate materials and the structure of foamed and amorphous solids. The coverage of quasicrystalline materials has been extended, and the data tables, appendices and references have been fully updated. Reinforcing its unrivalled position as the core text for teaching crystallography and crystal defects, each chapter includes problem sets with brief numerical solutions at the end of the book. Detailed worked solutions, supplementary lecture material and computer programs for crystallographic calculations are provided online (http://booksupport.wiley.com).
Book Synopsis Quasicrystals And Incommensurate Structures In Condensed Matter - Proceedings Of The Third International Meeting On Quasicrystals by : Gomes Agostinho
Download or read book Quasicrystals And Incommensurate Structures In Condensed Matter - Proceedings Of The Third International Meeting On Quasicrystals written by Gomes Agostinho and published by #N/A. This book was released on 1990-03-01 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Liquid Crystals by : Peter J. Collings
Download or read book Introduction to Liquid Crystals written by Peter J. Collings and published by CRC Press. This book was released on 2017-09-06 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text relies on only introductory level physics and chemistry as the foundation for understanding liquid crystal science. Liquid crystals combine the material properties of solids with the flow properties of fluids. As such they have provided the foundation for a revolution in low- power, flat-panel display technology LCDs. In this book, the essential elements of liquid crystal science are introduced and explained from the perspectives of both the chemist and the physicist.; The text begins with an historical account of the discovery of liquid crystals and continues with a description of how different phases are generated and how different molecular architectures affect liquid crystalline properties. The rest of the book is concerned with understanding and explaining the properties of the various types of liquid crystals, and in the final part of the book, the technology of LCDs is discussed and illustrated.
Download or read book Quasicrystals written by Christian Janot and published by Oxford University Press, USA. This book was released on 2012-10-18 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Quasicrystals written by J.-B. Suck and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Aperiodic Crystals written by Ted Janssen and published by Oxford University Press, USA. This book was released on 2007-05-24 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Beyond the Crystalline State by : Ganesan Venkataraman
Download or read book Beyond the Crystalline State written by Ganesan Venkataraman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Condensed matter exhibits a rich variety of phases. Of these, the crystalline state has, until recently, received most attention. This is not surprising, given the geometric regularity of crystals. At the other extreme one has amorphous materials. In between there are the various types of liquid crystals, the recently discovered quasicrystals, and so on. While the absence of the high degree of regularity that characterizes the crystalline phase is certainly a problem, these noncrystalline states have nevertheless been receiving some attention over the years. However, it is only during the last few years that something like a uni fied view of all these phases has begun to emerge, through an application of various sophisticated concepts. Geometry and symmetry (and unusual realiza tions of the latter) provide a unifying thread in this new and emerging perspec tive. This book is an attempt to capture the flavour of some of these recent de velopments. The approach is substantially descriptive, being intended to be accessible not only to experimental physicists, but also to chemists, materials scientists, metallurgists and ceramicists, whose work borders on physics. The prerequisites for a study of this book are a familiarity with basic solid-state physics and, in places, the elements of group theory and statistical mechanics. A few special topics are included at the end to aid those who wish to pur sure further the subject matter treated here.
Book Synopsis Quasicrystals - Proceedings Of The Anniversary Adriatico Research Conference by : M V Jaric
Download or read book Quasicrystals - Proceedings Of The Anniversary Adriatico Research Conference written by M V Jaric and published by World Scientific. This book was released on 1990-01-01 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Theory Of Elasticity And Generalized Dynamics Of Quasicrystals And Its Applications by : Tian-you Fan
Download or read book Mathematical Theory Of Elasticity And Generalized Dynamics Of Quasicrystals And Its Applications written by Tian-you Fan and published by World Scientific. This book was released on 2023-12-27 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a detailed description on mathematical theory of elasticity and generalized dynamics of solid quasicrystals and its applications.The Chinese edition of the book Mathematical Theory of Elasticity of Quasicrystals and Its Applications was published by the Beijing Institute of Technology Press in 1999, written by Prof Tian-You Fan. In this English edition of the book, the phonon-phason dynamics, defect dynamics and hydrodynamics of solid quasicrystals are included, so the scope of the book is beyond elasticity. Hence, the title in this edition is changed to Mathematical Theory of Elasticity and Generalized Dynamics of Quasicrystals and Its Applications. This book is the first and only monograph in the scope of quasicrystals since first published in 1999 in China and worldwide. In this edition, the two-dimensional quasicrystals of second kind, soft-matter quasicrystals and photonic bade-gap and application of photonic quasicrystals are added.This book combines the mechanical and physical behavior of quasicrystals and mathematical physics, which may help graduate students and researchers in the fields of new materials, condensed matter physics, applied mathematics and engineering science.
Book Synopsis Physics and Chemistry of Finite Systems: From Clusters to Crystals by : Peru Jena
Download or read book Physics and Chemistry of Finite Systems: From Clusters to Crystals written by Peru Jena and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 1414 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent innovations in experimental techniques such as molecular and cluster beam epitaxy, supersonic jet expansion, matrix isolation and chemical synthesis are increasingly enabling researchers to produce materials by design and with atomic dimension. These materials constrained by sire, shape, and symmetry range from clusters containing as few as two atoms to nanoscale materials consisting of thousands of atoms. They possess unique structuraI, electronic, magnetic and optical properties that depend strongly on their size and geometry. The availability of these materials raises many fundamental questions as weIl as technological possibilities. From the academic viewpoint, the most pertinent question concerns the evolution of the atomic and electronic structure of the system as it grows from micro clusters to crystals. At what stage, for example, does the cluster look as if it is a fragment of the corresponding crystal. How do electrons forming bonds in micro-clusters transform to bands in solids? How do the size dependent properties change from discrete quantum conditions, as in clusters, to boundary constrained bulk conditions, as in nanoscale materials, to bulk conditions insensitive to boundaries? How do the criteria of classification have to be changed as one goes from one size domain to another? Potential for high technological applications also seem to be endless. Clusters of otherwise non-magnetic materials exhibit magnetic behavior when constrained by size, shape, and dimension. NanoscaIe metal particles exhibit non-linear opticaI properties and increased mechanical strength. SimiIarly, materials made from nanoscale ceramic particIes possess plastic behavior.
Book Synopsis Liquid Crystals by : S. Chandrasekhar
Download or read book Liquid Crystals written by S. Chandrasekhar and published by Cambridge University Press. This book was released on 1992-11-26 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a new and greatly revised edition of Professor Chandrasekhar's classic book Liquid Crystals, first published in 1977. The subject of liquid crystals has grown into an exciting interdisciplinary research field with important practical applications. This book presents a systematic and self-contained treatment of the physics of the different types of thermotropic liquid crystals - the three classical types, nematic, cholesteric and smectic, and the newly discovered discotic type. Included is a description of the structures of these four main types and their polymorphic modifications, their thermodynamical, optical and mechanical properties and their behaviour under external fields. The basic principles underlying the major applications of liquid crystals in display technology and in thermography are also discussed. This book will be of great value to advanced students and researchers in condensed matter physics, chemical physics, materials science and technology with an interest in the physics, chemistry and applications of liquid crystals.
Book Synopsis Quasicrystals by : Hans-Rainer Trebin
Download or read book Quasicrystals written by Hans-Rainer Trebin and published by John Wiley & Sons. This book was released on 2006-05-12 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
