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Author : V. L. Pokrovsky
Publisher : Routledge
ISBN 13 :
Total Pages : 184 pages
Book Rating : 4.3/5 (91 download)
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:
Author : J.F. Scott
Publisher : Springer Science & Business Media
ISBN 13 : 1475701845
Total Pages : 365 pages
Book Rating : 4.4/5 (757 download)
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 . . .
Author : Valerij Leonidovič forme avant 2007 Pokrovskij
Publisher :
ISBN 13 :
Total Pages : 66 pages
Book Rating : 4.:/5 (716 download)
Download or read book Theory of Incommensurate Crystals written by Valerij Leonidovič forme avant 2007 Pokrovskij and published by . This book was released on 1983 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J.F. Scott
Publisher : Springer
ISBN 13 : 9781475701869
Total Pages : 368 pages
Book Rating : 4.7/5 (18 download)
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 . . .
Author : J C Tolédano
Publisher : World Scientific Publishing Company
ISBN 13 : 9813103949
Total Pages : 472 pages
Book Rating : 4.8/5 (131 download)
Download or read book The Landau Theory of Phase Transitions written by J C Tolédano and published by World Scientific Publishing Company. This book was released on 1987-08-01 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contents of this book stems from three different objectives. First, it is an introduction to the basic principles and techniques of Landau's theory, which is intended for teaching purposes. A second purpose of the book provides the practical methods for applying Landau's theory to complex systems. The last objective of the book is to incorporate the developments which have arisen in the last fifteen years from the extensive application of the theory to a variety of physical systems.
Author : Yurii Aleksandrovich Izyumov
Publisher : Springer Science & Business Media
ISBN 13 : 9400919204
Total Pages : 462 pages
Book Rating : 4.4/5 (9 download)
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.
Author : Sander van Smaalen
Publisher : Oxford University Press, USA
ISBN 13 : 0198570821
Total Pages : 283 pages
Book Rating : 4.1/5 (985 download)
Download or read book Incommensurate Crystallography written by Sander van Smaalen and published by Oxford University Press, USA. This book was released on 2007-06-07 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Sander Van Smaalen
Publisher : OUP Oxford
ISBN 13 : 0191524786
Total Pages : 284 pages
Book Rating : 4.1/5 (915 download)
Download or read book Incommensurate Crystallography written by Sander Van Smaalen and published by OUP Oxford. This book was released on 2007-06-07 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: For many years it was believed that translational symmetry would be the fundamental property of crystal structures of natural and synthetic compounds. It is now recognised that many compounds crystallise without translational symmetry of their atomic structures. "Incommensurate Crystallography" gives a comprehensive account of the superspace theory for the description of crystal structures and symmetries of these incommensurately modulated crystals and incommensurate composite crystals. It thus provides the necessary background for quantitative analysis of incommensurate crystals by methods in Solid State Chemistry and Solid State Physics. The second half of "Incommensurate Crystallography" is devoted to crystallographic methods of structural analysis of incommensurate compounds. Thorough accounts are given of the diffraction by incommensurate crystals, the choice of parameters in structure refinements, and the use of superspace in analysing crystal structures. The presentation of methods of structure determination includes modern methods like the Maximum Entropy Method and Charge Flipping.
Author : Tian-You Fan
Publisher : Springer
ISBN 13 : 9811019843
Total Pages : 462 pages
Book Rating : 4.8/5 (11 download)
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.
Author : Jean-Claude Tolédano
Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789971500252
Total Pages : 451 pages
Book Rating : 4.5/5 (2 download)
Download or read book The Landau Theory of Phase Transitions written by Jean-Claude Tolédano and published by World Scientific Publishing Company Incorporated. This book was released on 1987 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contents of this book stems from three different objectives. First, it is an introduction to the basic principles and techniques of Landau's theory, which is intended for teaching purposes. A second purpose of the book provides the practical methods for applying Landau's theory to complex systems. The last objective of the book is to incorporate the developments which have arisen in the last fifteen years from the extensive application of the theory to a variety of physical systems.
Author : Tian-you Fan
Publisher : World Scientific
ISBN 13 : 981127911X
Total Pages : 636 pages
Book Rating : 4.8/5 (112 download)
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.
Author : J.C. Tolédano
Publisher : Springer Science & Business Media
ISBN 13 : 1461538165
Total Pages : 453 pages
Book Rating : 4.4/5 (615 download)
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.
Author : A.A. Chernov
Publisher : Springer Science & Business Media
ISBN 13 : 3642689388
Total Pages : 151 pages
Book Rating : 4.6/5 (426 download)
Download or read book Modern Theory of Crystal Growth I written by A.A. Chernov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our understanding of the basic processes of crystal growth has meanwhile reached the level of maturity at least in the phenomenological concepts. This concerns for example the growth of pure crystals from a low-density nutrient phase like vapor or dilute solution with various aspects of pattern formation like spiral and layer growth, facetting and roughening, and the stability of smooth macroscopic shapes, as well as basic mechanisms of impurity incorporation in melt growth of (in this sense) simple materials like silicon or organic model substances. In parallel the experimental techniques to quantitatively ana lyze the various growth mechanisms have also reached a high level of reproducibility and precision, giving reliable tests on theoretical predictions. These basic concepts and appli cations to experiments have been recently reviewed by one of us (A. A. C. ) in "Modern Crystallography III. Crystal Growth" (Springer Series on Solid State Sciences, 1983). It has to be emphasized, however, that for practical applications we are still unable to quantitatively calculate many important parameters like kinetic coefficients from first principles. For mixed systems such as complex oxides, solutions and systems with chemi cal reactions, our degree of understanding is even lower. As a few examples for present achievements we note that experiments with vapour and molecular beam condensation of alkali halides confirmed the qualitatively predicted mechanisms of screw dislocations and two-dimensional nucleation for layer-growth.
Author : A.A. Kaplyanskii
Publisher : Elsevier
ISBN 13 : 0444598278
Total Pages : 767 pages
Book Rating : 4.4/5 (445 download)
Download or read book Spectroscopy of Crystals Containing Rare Earth Ions written by A.A. Kaplyanskii and published by Elsevier. This book was released on 2012-12-02 with total page 767 pages. Available in PDF, EPUB and Kindle. Book excerpt: ``Spectroscopy of Crystals Containing Rare Earth Ions'' contains chapters on some key problems selected from a broad range of spectroscopic studies of RE-activated solids including both crystalline and glassy materials. Progress in crystal field theory is surveyed, an area which is basic to our understanding of the energy levels. The treatment of dynamical properties includes studies of coherence phenomena in isolated ions, energy transfer between ions and co-operative phenomena associated with ion-ion and ion-lattice interactions. In addition, the role of electron spins and nuclear spins is studied by light scattering and double resonance techniques. The presence of inhomogeneous broadening of spectral lines is observed and studied in many contexts, leading to new insights into general problems of the disordered state. Considerable attention is devoted to describing new experimental techniques whose development is of prime importance for progress in the spectroscopy of RE-activated solids. Many of these rely on the development and application of tunable lasers. At the moment this is a very active field of spectroscopy with more exciting developments likely to occur in the future.
Author : A. G. Naumovets
Publisher : Elsevier
ISBN 13 : 0080924395
Total Pages : 438 pages
Book Rating : 4.0/5 (89 download)
Download or read book Two-Dimensional Crystals written by A. G. Naumovets and published by Elsevier. This book was released on 2012-12-02 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a self-contained, tutorial introduction to two-dimensional crystal science and technology. Including concise descriptions of experimental methods and results from fundamental theoretical concepts, this book covers a broad range of two-dimensional structures--from overlayers to freestanding films. All those with an active interest in surface science and statistical physics will find this book to be an essential reference work. Presents a coherent overview of experimental methods and theoretical background of two-dimensional crystal physics Provides a tutorial overview of continuous melting of two-dimensional crystals, roughening transitions, wetting phenomena, and commensurate-incommensurate transitions
Author : Paul J. Steinhardt
Publisher : World Scientific
ISBN 13 : 9789971502270
Total Pages : 792 pages
Book Rating : 4.5/5 (22 download)
Download or read book The Physics of Quasicrystals written by Paul J. Steinhardt and published by World Scientific. This book was released on 1987 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises an introductory lecture outlining the basic concepts and challenges in the field. This is followed by a collection of reprinted articles which are important in understanding the subject. The book will focus mainly on mathematical and physical foundations of the subject rather than experimental progress. By concentrating on theoretical topics, this volume has long-lasting as well as immediate value to physicists, crystallographers, metallurgists and mathematicians.
Author : Robert James Gooding
Publisher :
ISBN 13 :
Total Pages : 104 pages
Book Rating : 4.:/5 (222 download)
Download or read book A Macroscopic Theory of Coupled Phasons and Sound Waves in Incommensurate Crystals written by Robert James Gooding and published by . This book was released on 1987 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
