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Crystal Quasicrystal Transitions
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Book Synopsis Crystal-Quasicrystal Transitions by : M.J. Yacamán
Download or read book Crystal-Quasicrystal Transitions written by M.J. Yacamán and published by Elsevier. This book was released on 1993-03-18 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The discovery of five-fold diffraction symmetry by D. Schechtman in 1985 shocked crystallography to its roots. Incommensurable modulation of a crystal changes former identical unit cells into different ones. This radical revolution has given rise to the study of an entirely new class of matter, the quasicrystalline materials. The study of these quasi-periodic crystals brings a unique elucidation of the fundaments of crystallography and the relationship between lattice structure and macroscopic properties. This book covers the transitions between the crystalline and the quasicrystalline state. A thorough understanding of the transition from quasiperiodic to periodic lattices is essential in order to investigate the uniqueness of quasicrystals. In this well-written volume, an overview is given of the most important problems in quasicrystallography today. Leading experts provide insight into recent experimental advances achieved by studying the phase transitions between crystalline and quasicrystalline states. In the theoretical chapters one is introduced to the depth of insight into the nature of crystallography which has arisen through a rigorous understanding of the quasicrystal structure. This book is an essential source of reference for crystallographers, crystal growers and solid state physicists working in the field.
Book Synopsis Reconstructive Phase Transitions by : Pierre Toldano
Download or read book Reconstructive Phase Transitions written by Pierre Toldano and published by World Scientific. This book was released on 1996 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the phenomenological theory of first-order structural phase transitions, with a special emphasis on reconstructive transformations in which a group-subgroup relationship between the symmetries of the phases is absent. It starts with a unified presentation of the current approach to first-order phase transitions, using the more recent results of the Landau theory of phase transitions and of the theory of singularities. A general theory of reconstructive phase transitions is then formulated, in which the structures surrounding a transition are expressed in terms of density-waves, providing a natural definition of the transition order-parameters, and a description of the corresponding phase diagrams and relevant physical properties. The applicability of the theory is illustrated by a large number of concrete examples pertaining to the various classes of reconstructive transitions: allotropic transformations of the elements, displacive and order-disorder transformations in metals, alloys and related structures, crystal-quasicrystal transformations.
Author :Yurii Aleksandrovich Izyumov Publisher :Springer Science & Business Media ISBN 13 :9400919204 Total Pages :462 pages Book Rating :4.4/5 (9 download)
Book Synopsis Phase Transitions and Crystal Symmetry by : Yurii Aleksandrovich Izyumov
Download or read book Phase Transitions and Crystal Symmetry written by Yurii Aleksandrovich Izyumov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: About half a century ago Landau formulated the central principles of the phe nomenological second-order phase transition theory which is based on the idea of spontaneous symmetry breaking at phase transition. By means of this ap proach it has been possible to treat phase transitions of different nature in altogether distinct systems from a unified viewpoint, to embrace the aforemen tioned transitions by a unified body of mathematics and to show that, in a certain sense, physical systems in the vicinity of second-order phase transitions exhibit universal behavior. For several decades the Landau method has been extensively used to an alyze specific phase transitions in systems and has been providing a basis for interpreting experimental data on the behavior of physical characteristics near the phase transition, including the behavior of these characteristics in systems subject to various external effects such as pressure, electric and magnetic fields, deformation, etc. The symmetry aspects of Landau's theory are perhaps most effective in analyzing phase transitions in crystals because the relevant body of mathemat ics for this symmetry, namely, the crystal space group representation, has been worked out in great detail. Since particular phase transitions in crystals often call for a subtle symmetry analysis, the Landau method has been continually refined and developed over the past ten or fifteen years.
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.
Book Synopsis Reconstructive Phase Transitions: In Crystals And Quasicrystals by : Vladimir Dmitriev
Download or read book Reconstructive Phase Transitions: In Crystals And Quasicrystals written by Vladimir Dmitriev and published by World Scientific. This book was released on 1996-09-30 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the phenomenological theory of first-order structural phase transitions, with a special emphasis on reconstructive transformations in which a group-subgroup relationship between the symmetries of the phases is absent. It starts with a unified presentation of the current approach to first-order phase transitions, using the more recent results of the Landau theory of phase transitions and of the theory of singularities. A general theory of reconstructive phase transitions is then formulated, in which the structures surrounding a transition are expressed in terms of density-waves, providing a natural definition of the transition order-parameters, and a description of the corresponding phase diagrams and relevant physical properties. The applicability of the theory is illustrated by a large number of concrete examples pertaining to the various classes of reconstructive transitions: allotropic transformations of the elements, displacive and order-disorder transformations in metals, alloys and related structures, crystal-quasicrystal transformations.
Book Synopsis Phase Transitions and Crystal Symmetry by : Yurii Aleksandrovich Izyumov
Download or read book Phase Transitions and Crystal Symmetry written by Yurii Aleksandrovich Izyumov and published by Springer. This book was released on 1990-03-31 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: About half a century ago Landau formulated the central principles of the phe nomenological second-order phase transition theory which is based on the idea of spontaneous symmetry breaking at phase transition. By means of this ap proach it has been possible to treat phase transitions of different nature in altogether distinct systems from a unified viewpoint, to embrace the aforemen tioned transitions by a unified body of mathematics and to show that, in a certain sense, physical systems in the vicinity of second-order phase transitions exhibit universal behavior. For several decades the Landau method has been extensively used to an alyze specific phase transitions in systems and has been providing a basis for interpreting experimental data on the behavior of physical characteristics near the phase transition, including the behavior of these characteristics in systems subject to various external effects such as pressure, electric and magnetic fields, deformation, etc. The symmetry aspects of Landau's theory are perhaps most effective in analyzing phase transitions in crystals because the relevant body of mathemat ics for this symmetry, namely, the crystal space group representation, has been worked out in great detail. Since particular phase transitions in crystals often call for a subtle symmetry analysis, the Landau method has been continually refined and developed over the past ten or fifteen years.
Book Synopsis Crystallography of Quasicrystals by : Steurer Walter
Download or read book Crystallography of Quasicrystals written by Steurer Walter and published by Springer Science & Business Media. This book was released on 2009-08-26 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Author :C.M. Gramaccioli Publisher :The Mineralogical Society of Great Britain and Ireland ISBN 13 :9634635660 Total Pages :430 pages Book Rating :4.6/5 (346 download)
Book Synopsis ENERGY MODELLING IN MINERALS by : C.M. Gramaccioli
Download or read book ENERGY MODELLING IN MINERALS written by C.M. Gramaccioli and published by The Mineralogical Society of Great Britain and Ireland. This book was released on 2002-01-01 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nothing provided
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 Discontinuous Phase Transitions In Condensed Matter: Symmetry Breaking In Bulk Martensite, Quasiperiodic And Low-dimensional Nanostructures by : Vladimir Dmitriev
Download or read book Discontinuous Phase Transitions In Condensed Matter: Symmetry Breaking In Bulk Martensite, Quasiperiodic And Low-dimensional Nanostructures written by Vladimir Dmitriev and published by World Scientific. This book was released on 2023-01-19 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discontinuous (first-order) phase transitions constitute the most fundamental and widespread type of structural transitions existing in Nature, forming a large majority of the transitions found in elemental crystals, alloys, inorganic compounds, minerals and complex fluids. Nevertheless, only a small part of them, namely, weakly discontinuous transformations, were considered by phenomenological theories, leaving aside the most interesting from a theoretical point of view and the most important for application cases. Discontinuous Phase Transitions in Condensed Matter introduces a density-wave approach to phase transitions which results in a unified, symmetry-based, model-free theory of the weak crystallization of molecular mixtures to liquid-crystalline mesophases, strongly discontinuous crystallization from molten metals and alloys to conventional, fully segregated crystals, to aperiodic, quasi-crystalline structures. Assembly of aperiodic closed virus capsids with non-crystallographic symmetry also falls into the domain of applicability of the density-wave approach.The book also considers the applicability domains of the symmetry-based approach in physics of low-dimensional systems. It includes comparisons of stability of different surface superstructures and metal monoatomic coverage structures on the surface of single-crystalline substrates. The example of the twisted graphene bilayer demonstrates how parametrization in the spirit of an advanced phenomenological approach can establish symmetry-controlled, and therefore model-free, links between geometrical parameters of the twisted bilayer structure and reconstruction of its Brillouin zone and energy bands.
Book Synopsis Useful Quasicrystals by : Jean-Marie Dubois
Download or read book Useful Quasicrystals written by Jean-Marie Dubois and published by World Scientific. This book was released on 2005 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to acquaint the reader with what the authors regard as the most basic characteristics of quasicrystals -- structure, formation and stability, and properties -- in relationship with the applications of quasicrystalline materials. Quasicrystals are fascinating substances that form a family of specific structures with strange physical, chemical and mechanical properties as compared to those of metallic alloys. This, on the one hand, requires a generalization of the crystallographic description of solids and is still stimulating intensive research to understand the most basic properties of quasicrystals. 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 six chapters, ending with the authors' own interpretation of the properties with respect to their unique structure.
Book Synopsis Progress in Advanced Structural and Functional Materials Design by : Tomoyuki Kakeshita
Download or read book Progress in Advanced Structural and Functional Materials Design written by Tomoyuki Kakeshita and published by Springer Science & Business Media. This book was released on 2012-11-29 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes clearly various research topics investigated for these 10 years in the Research Center of Advanced Structural and Functional Materials Design in Osaka University, Japan. Every chapter is aimed at understanding most advanced researches in materials science by describing its fundamentals and details as much as possible. Since both general explanations and cutting-edge commentaries are given for each topic in this book, it provides a lot of useful information for ordinary readers as well as materials scientists & engineers who wish to understand the future development in materials science fields of metals, alloys, ceramics, semiconductors etc. In particular, this book deals with special fusion area of structural and functional materials such as medical bone materials, of which contents are very unique features as materials science textbook.
Book Synopsis Generalized Dynamics of Soft-Matter Quasicrystals by : Tian-You Fan
Download or read book Generalized Dynamics of Soft-Matter Quasicrystals written by Tian-You Fan and published by Springer. This book was released on 2017-10-14 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book systematically introduces the mathematical models and solutions of generalized hydrodynamics of soft-matter quasicrystals (SMQ). It provides methods for solving the initial-boundary value problems in these systems. The solutions obtained demonstrate the distribution, deformation and motion of the soft-matter quasicrystals, and determine the stress, velocity and displacement fields. The interactions between phonons, phasons and fluid phonons are discussed in some fundamental materials samples. Mathematical solutions for solid and soft-matter quasicrystals are compared, to help readers to better understand the featured properties of SMQ.
Book Synopsis Mathematical Theory of Elasticity of Quasicrystals and Its Applications by : Tian-You Fan
Download or read book Mathematical Theory of Elasticity of Quasicrystals and Its Applications written by Tian-You Fan and published by Springer. This book was released on 2016-09-20 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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 . . .
Download or read book Quasicrystals written by Christian Janot and published by OUP Oxford. 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.
