Reconstructive Phase Transitions

Reconstructive Phase Transitions

Author: Pierre Tol‚dano

Publisher: World Scientific

Published: 1996

Total Pages: 424

ISBN-13: 9789810223649

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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 Reconstructive Phase Transitions by : Pierre Tol‚dano

Download or read book Reconstructive Phase Transitions written by Pierre Tol‚dano 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.

Reconstructive Phase Transitions: In Crystals And Quasicrystals

Reconstructive Phase Transitions: In Crystals And Quasicrystals

Author: Vladimir Dmitriev

Publisher: World Scientific

Published: 1996-09-30

Total Pages: 416

ISBN-13: 981450002X

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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 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.

Crystal-Quasicrystal Transitions

Crystal-Quasicrystal Transitions

Author: M.J. Yacamán

Publisher: Elsevier

Published: 1993-03-18

Total Pages: 248

ISBN-13: 0444599142

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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 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.

Phase Transitions and Crystal Symmetry

Phase Transitions and Crystal Symmetry

Author: Yurii Aleksandrovich Izyumov

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 462

ISBN-13: 9400919204

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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 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.

Continuum Models for Phase Transitions and Twinning in Crystals

Continuum Models for Phase Transitions and Twinning in Crystals

Author: Mario Pitteri

Publisher: CRC Press

Published: 2002-06-27

Total Pages: 390

ISBN-13: 1420036149

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Continuum Models for Phase Transitions and Twinning in Crystals presents the fundamentals of a remarkably successful approach to crystal thermomechanics. Developed over the last two decades, it is based on the mathematical theory of nonlinear thermoelasticity, in which a new viewpoint on material symmetry, motivated by molecular theories, plays a c


Book Synopsis Continuum Models for Phase Transitions and Twinning in Crystals by : Mario Pitteri

Download or read book Continuum Models for Phase Transitions and Twinning in Crystals written by Mario Pitteri and published by CRC Press. This book was released on 2002-06-27 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuum Models for Phase Transitions and Twinning in Crystals presents the fundamentals of a remarkably successful approach to crystal thermomechanics. Developed over the last two decades, it is based on the mathematical theory of nonlinear thermoelasticity, in which a new viewpoint on material symmetry, motivated by molecular theories, plays a c

High-Pressure Crystallography

High-Pressure Crystallography

Author: Elena Boldyreva

Publisher: Springer Science & Business Media

Published: 2010-09-03

Total Pages: 602

ISBN-13: 9048192609

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This unique book is devoted to the theme of crystallographic studies at high pressure. It places emphasis on the phenomena characteristic to the compressed state of matter, as well as experimental and theoretical techniques, used to study these phenomena.


Book Synopsis High-Pressure Crystallography by : Elena Boldyreva

Download or read book High-Pressure Crystallography written by Elena Boldyreva and published by Springer Science & Business Media. This book was released on 2010-09-03 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book is devoted to the theme of crystallographic studies at high pressure. It places emphasis on the phenomena characteristic to the compressed state of matter, as well as experimental and theoretical techniques, used to study these phenomena.

Discontinuous Phase Transitions In Condensed Matter: Symmetry Breaking In Bulk Martensite, Quasiperiodic And Low-dimensional Nanostructures

Discontinuous Phase Transitions In Condensed Matter: Symmetry Breaking In Bulk Martensite, Quasiperiodic And Low-dimensional Nanostructures

Author: Vladimir Dmitriev

Publisher: World Scientific

Published: 2023-01-19

Total Pages: 469

ISBN-13: 1800612931

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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 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.

Mechanics and Mathematics of Crystals

Mechanics and Mathematics of Crystals

Author: Jerald L. Ericksen

Publisher: World Scientific

Published: 2005

Total Pages: 655

ISBN-13: 9812562834

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This book is a unique and comprehensive collection of pioneering contributions to the mechanics of crystals by J L Ericksen, a prominent and leading contributor to the study of the mechanics and mathematics of crystalline solids over the past 35 years.It presents a splendid corpus of research papers that cover areas on crystal symmetry, constitutive equations, defects and phase transitions — all topics of current importance to a broad group of workers in the field.The volume thus provides in one place material that is frequently referenced by numerous researchers on crystals across a spectrum of activities in areas of continuum mechanics, applied mathematics, engineering and materials science.Each group of papers or chapters in the book is preceded by a summary introduction that describes how the papers on that topic fit together, and in which Ericksen sketches the context of each paper and shares with the reader his thinking and insightfulness in writing it. The volume, edited by internationally renowned scholars whose works in finite elasticity and continuum mechanics have appeared in a variety of books and prestigious journals published over the past four decades, also includes a very interesting brief autobiography by Ericksen. In it he describes his early life in Oregon, his wartime experiences, his student days and postgraduate study, his introduction to scientific work, and what motivated him in his research. An English translation and revision of the first paper in this volume, originally published in Russian, appears here for the first time.


Book Synopsis Mechanics and Mathematics of Crystals by : Jerald L. Ericksen

Download or read book Mechanics and Mathematics of Crystals written by Jerald L. Ericksen and published by World Scientific. This book was released on 2005 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a unique and comprehensive collection of pioneering contributions to the mechanics of crystals by J L Ericksen, a prominent and leading contributor to the study of the mechanics and mathematics of crystalline solids over the past 35 years.It presents a splendid corpus of research papers that cover areas on crystal symmetry, constitutive equations, defects and phase transitions — all topics of current importance to a broad group of workers in the field.The volume thus provides in one place material that is frequently referenced by numerous researchers on crystals across a spectrum of activities in areas of continuum mechanics, applied mathematics, engineering and materials science.Each group of papers or chapters in the book is preceded by a summary introduction that describes how the papers on that topic fit together, and in which Ericksen sketches the context of each paper and shares with the reader his thinking and insightfulness in writing it. The volume, edited by internationally renowned scholars whose works in finite elasticity and continuum mechanics have appeared in a variety of books and prestigious journals published over the past four decades, also includes a very interesting brief autobiography by Ericksen. In it he describes his early life in Oregon, his wartime experiences, his student days and postgraduate study, his introduction to scientific work, and what motivated him in his research. An English translation and revision of the first paper in this volume, originally published in Russian, appears here for the first time.

Crystallography of Quasicrystals

Crystallography of Quasicrystals

Author: Steurer Walter

Publisher: Springer Science & Business Media

Published: 2009-08-26

Total Pages: 388

ISBN-13: 3642018998

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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.


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.

Solid-Solid Phase Transformations in Inorganic Materials

Solid-Solid Phase Transformations in Inorganic Materials

Author: Yves Bréchet

Publisher: Trans Tech Publications Ltd

Published: 2011-06-30

Total Pages: 1463

ISBN-13: 3038135100

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The main objective of this special collection was to present state-of-the-art advances in the field of solid-solid phase transformations. Volume is indexed by Thomson Reuters CPCI-S (WoS). The 204 peer-reviewed papers were divided into 10 chapters: 1: Displacive Transformations, 2: Diffusional Transformations, 3: Transition by Interface Migration, 4: Order-Disorder Transitions, 5: Phase Transitions and Size Effect, 6: Driven Systems and Phase Transformations, 7: Phase Transformations during Industrial Processing, 8: Amorphous Alloys, Quasicrystals and other Complex Phases, 9: Advances in the Theory and Modeling of Phase Transitions, 10: Advances in Experimental Techniques. The present work will be a useful supplement to the classic textbooks on the subject.


Book Synopsis Solid-Solid Phase Transformations in Inorganic Materials by : Yves Bréchet

Download or read book Solid-Solid Phase Transformations in Inorganic Materials written by Yves Bréchet and published by Trans Tech Publications Ltd. This book was released on 2011-06-30 with total page 1463 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main objective of this special collection was to present state-of-the-art advances in the field of solid-solid phase transformations. Volume is indexed by Thomson Reuters CPCI-S (WoS). The 204 peer-reviewed papers were divided into 10 chapters: 1: Displacive Transformations, 2: Diffusional Transformations, 3: Transition by Interface Migration, 4: Order-Disorder Transitions, 5: Phase Transitions and Size Effect, 6: Driven Systems and Phase Transformations, 7: Phase Transformations during Industrial Processing, 8: Amorphous Alloys, Quasicrystals and other Complex Phases, 9: Advances in the Theory and Modeling of Phase Transitions, 10: Advances in Experimental Techniques. The present work will be a useful supplement to the classic textbooks on the subject.