Crystal Quasicrystal Transitions
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Crystal Quasicrystal Transitions
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Author : M.J. Yacamán
language : en
Publisher: Elsevier
Release Date : 1993-03-18
Crystal Quasicrystal Transitions written by M.J. Yacamán and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-03-18 with Science categories.
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.
Reconstructive Phase Transitions In Crystals And Quasicrystals
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Author : Vladimir Dmitriev
language : en
Publisher: World Scientific
Release Date : 1996-09-30
Reconstructive Phase Transitions In Crystals And Quasicrystals written by Vladimir Dmitriev and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-09-30 with Science categories.
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.
Phase Transitions And Crystal Symmetry
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Author : Yurii Aleksandrovich Izyumov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Phase Transitions And Crystal Symmetry written by Yurii Aleksandrovich Izyumov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
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.
Energy Modelling In Minerals
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Author : C.M. Gramaccioli
language : en
Publisher: The Mineralogical Society of Great Britain and Ireland
Release Date : 2002-01-01
Energy Modelling In Minerals written by C.M. Gramaccioli and has been published by The Mineralogical Society of Great Britain and Ireland this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-01 with Science categories.
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Discontinuous Phase Transitions In Condensed Matter Symmetry Breaking In Bulk Martensite Quasiperiodic And Low Dimensional Nanostructures
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Author : Vladimir Dmitriev
language : en
Publisher: World Scientific
Release Date : 2023-01-19
Discontinuous Phase Transitions In Condensed Matter Symmetry Breaking In Bulk Martensite Quasiperiodic And Low Dimensional Nanostructures written by Vladimir Dmitriev and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-19 with Science categories.
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.
Crystallography Of Quasicrystals
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Author : Steurer Walter
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-08-26
Crystallography Of Quasicrystals written by Steurer Walter and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-26 with Science categories.
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.
Quasicrystals
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Author : Christian Janot
language : en
Publisher: OUP Oxford
Release Date : 2012-10-18
Quasicrystals written by Christian Janot and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-18 with Technology & Engineering categories.
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.
Generalized Dynamics Of Soft Matter Quasicrystals
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Author : Tian-You Fan
language : en
Publisher: Springer
Release Date : 2017-10-14
Generalized Dynamics Of Soft Matter Quasicrystals written by Tian-You Fan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-14 with Science categories.
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.
Mathematical Theory Of Elasticity Of Quasicrystals And Its Applications
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Author : Tian-You Fan
language : en
Publisher: Springer
Release Date : 2016-09-20
Mathematical Theory Of Elasticity Of Quasicrystals And Its Applications written by Tian-You Fan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-20 with Science categories.
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
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Author : J.-B. Suck
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Quasicrystals written by J.-B. Suck and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Science categories.
Quasicrystals have been the object of intense research efforts for a good 16 years now. In recent years, this area of solid state physics and crystallogra phy has grown into a mature field in its own right. Hence, several books on quasicrystals have appeared in the interim (see Appendix) and chapters on quasicrystals have been introduced into new books on solid state physics and l into new editions of existing monographs. However, most of the former have been written for scientists specialised in this field rather than for students, and the latter additions are often rat her brief. We therefore decided to fill the gap between these two extremes with a book which provides an introduction to the structure and physical properties oi quasicrystals and covers, in sufficient detail, all important fields in qua sicrystal research and even applications. The chapters have been written by specialists and each is based on the author's insight into this field. Howe ver, much effort has been put into achieving an introductory character and making the text accessible to newcomers to the field.