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Second Order Phase Transitions And The Irreducible Representation Of Space Groups
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Book Synopsis Second-Order Phase Transitions and the Irreducible Representation of Space Groups by : Hugo F. Franzen
Download or read book Second-Order Phase Transitions and the Irreducible Representation of Space Groups written by Hugo F. Franzen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lecture notes presented in this volume were developed over a period of time that originated with the investigation of a research problem, the distortion from NiAs-type to MnP-type, the group-theoretical implications of which were investigated in collaboration with Professors F. Jellinek and C. Haas of the Laboratory for Inorganic Chemistry at the University of Groningen during the 1973-1974 year. This distortion provides the major example that is worked through in the notes. The subject matter of the notes has been incorporated in part in the lectures of a course in Solid State Chemistry taught several times at Iowa State University, and formed the basis of a series of lectures presented at the Max-Planck Institute for Solid State Research in Stuttgart during 1981- 19821 and as part of a Solid State Chemistry course taught during the spring of 1982 at Arizona State University in Tempe. I wish here to express my gratitude to the Max-Planck Institute for Solid State Research and to Arizona State University for the opportunity and support they provided during the time I was developing and writing the lecture notes of this volume. I wish also to thank the many colleagues and students who have offered comments and suggestions that have improved the accuracy and readability of the notes, and who have provided stimulation through discussion of the ideas presented here. am especially indebted to Professors C. Haas and F.
Book Synopsis Second-order Phase Transitions and the Irreducible Representation of Space Groups by : Hugo Friedrich Franzen
Download or read book Second-order Phase Transitions and the Irreducible Representation of Space Groups written by Hugo Friedrich Franzen and published by Springer. This book was released on 1982-01-01 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis Isotropy Subgroups Of The 230 Crystallographic Space Groups by : Dorian M Hatch
Download or read book Isotropy Subgroups Of The 230 Crystallographic Space Groups written by Dorian M Hatch and published by World Scientific. This book was released on 1989-01-01 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a rather exhaustive list of isotropy subgroups of the 230 crystallographic space groups. The symmetry changes for the vast majority of observed phase transitions in crystalline solids can be found in the list. With each entry, information is given concerning both physical and abstract characteristics of the phase transitions.
Book Synopsis Second-Order Phase Transitions and the Irreductible Representation of Space Groups by :
Download or read book Second-Order Phase Transitions and the Irreductible Representation of Space Groups written by and published by . This book was released on 1982 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Space Group Representations by : Nikolai B. Melnikov
Download or read book Space Group Representations written by Nikolai B. Melnikov and published by Springer Nature. This book was released on 2023-01-01 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the construction of space group representations, their tabulation, and illustration of their use. Representation theory of space groups has a wide range of applications in modern physics and chemistry, including studies of electron and phonon spectra, structural and magnetic phase transitions, spectroscopy, neutron scattering, and superconductivity. The book presents a clear and practical method of deducing the matrices of all irreducible representations, including double-valued, and tabulates the matrices of irreducible projective representations for all 32 crystallographic point groups. One obtains the irreducible representations of all 230 space groups by multiplying the matrices presented in these compact and convenient to use tables by easily computed factors. A number of applications to the electronic band structure calculations are illustrated through real-life examples of different crystal structures. The book's content is accessible to both graduate and advanced undergraduate students with elementary knowledge of group theory and is useful to a wide range of experimentalists and theorists in materials and solid-state physics.
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 Pyrochlore Ceramics by : Anirban Chowdhury
Download or read book Pyrochlore Ceramics written by Anirban Chowdhury and published by Elsevier. This book was released on 2022-06-09 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Present-day interest in pyrochlore materials is immense. Academic and industrial researchers working with pyrochlore materials need a fundamental understanding of what pyrochlores are and their potential applications. Pyrochlore Ceramics: Properties, Processing, and Applications provides key knowledge and information needed on pyrochlore materials. With an emphasis on recent research developments, the contents review a broad spectrum of pyrochlore systems, focusing on their structures, their successful synthesis, multifaceted properties, and applications. The book brings all aspects together and presents recent research findings on pyrochlore materials. It will be the definitive text for all researchers who aim to venture into the eclectic world of pyrochlores. In addition, the book will be of interest to researchers who are already working on pyrochlore materials, providing them with novel information on the uncommon virtues of pyrochlore systems. All chapters presented in the book are at the cutting edge of research and have never been assembled in book form before. Any researcher working in related fields will gain not only a historical perspective but also a comprehensive overview of recent developments. The book will be a valuable reference resource for academic and industrial researchers working in ceramics and materials science, mechanical, electronics, and chemical engineering, as well as physical and chemical science. Provides an extensive review of novel pyrochlore material systems Compares different types of pyrochlore materials, including their structure, properties, and performance Describes potential applications
Book Synopsis Systematics and the Properties of the Lanthanides by : Shyama P. Sinha
Download or read book Systematics and the Properties of the Lanthanides written by Shyama P. Sinha and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science is not a mere collection of facts. It is the correlation of facts, the interpretative synthesis of the available knowledge and its application that excite the imagination of a scientist. Even in these days of modern technology, the need for quick and accurate dissemination of new information and current concepts still exists. Conferences and Symposia offer one direct method of communication. The Summer Schools are another approach. The success of a Summer School is mainly due to that human factor and under standing that goes with it and allows for extensive and often time-unrestricted discussions. During the course of the past 20 years, one of the most in tensively studied groups of elements in the Periodic Table is the Lanthanides. In this period, we have increased our knowledge on these once exotic elements, which were once considered to be a part of a lean and hungry industry, many-fold due to the involve ment of scientists from various disciplines. The purpose of our Summer School was to bring a group of ex perts and participants together for the exchange of ideas and in formation in an informal setting and to promote interdisciplinary interactions. Out of many conceivable topics, we selected the following five as the main basis to broaden our knowledge and understanding I) Systematics 2) Structure 3) Electronic and Magnetic Proper ties 4) Spectroscopic Properties and 5) Lanthanide Geochemistry.
Book Synopsis Alloy Phase Stability by : G.M. Stocks
Download or read book Alloy Phase Stability written by G.M. Stocks and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the ultimate goals of materials research is to develop a fun damental and predictive understanding of the physical and metallurgical properties of metals and alloys. Such an understanding can then be used in the design of materials having novel properties or combinations of proper ties designed to meet specific engineering applications. The development of new and useful alloy systems and the elucidation of their properties are the domain of metallurgy. Traditionally, the search for new alloy systems has been conducted largely on a trial and error basis, guided by the skill and intuition of the metallurgist, large volumes of experimental data, the principles of 19th century thermodynamics and ad hoc semi-phenomenological models. Recently, the situation has begun to change. For the first time, it is possible to understand the underlying mechanisms that control the formation of alloys and determine their properties. Today theory can begin to offer guidance in predicting the properties of alloys and in developing new alloy systems. Historically, attempts directed toward understanding phase stability and phase transitions have proceeded along distinct and seemingly diverse lines. Roughly, we can divide these approaches into the following broad categories. 1. Experimental determination of phase diagrams and related properties, 2. Thermodynamic/statistical mechanical approaches based on semi phenomenological models, and 3. Ab initio quantum mechanical methods. Metallurgists have traditionally concentrated their efforts in cate gories 1 and 2, while theoretical physicists have been preoccupied with 2 and 3.
Book Synopsis Group Theory and Quantum Mechanics by : Michael Tinkham
Download or read book Group Theory and Quantum Mechanics written by Michael Tinkham and published by Courier Corporation. This book was released on 2012-04-20 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level text develops the aspects of group theory most relevant to physics and chemistry (such as the theory of representations) and illustrates their applications to quantum mechanics. The first five chapters focus chiefly on the introduction of methods, illustrated by physical examples, and the final three chapters offer a systematic treatment of the quantum theory of atoms, molecules, and solids. The formal theory of finite groups and their representation is developed in Chapters 1 through 4 and illustrated by examples from the crystallographic point groups basic to solid-state and molecular theory. Chapter 5 is devoted to the theory of systems with full rotational symmetry, Chapter 6 to the systematic presentation of atomic structure, and Chapter 7 to molecular quantum mechanics. Chapter 8, which deals with solid-state physics, treats electronic energy band theory and magnetic crystal symmetry. A compact and worthwhile compilation of the scattered material on standard methods, this volume presumes a basic understanding of quantum theory.
Download or read book April 16 written by Görlich and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-11-22 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "April 16".
Book Synopsis Crystal Symmetries by : B. K. Vainshtein
Download or read book Crystal Symmetries written by B. K. Vainshtein and published by Elsevier. This book was released on 2017-07-26 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Crystal Symmetries is a timely account of the progress in the most diverse fields of crystallography. It presents a broad overview of the theory of symmetry and contains state of the art reports of its modern directions and applications to crystal physics and crystal properties. Geometry takes a special place in this treatise. Structural aspects of phase transitions, correlation of structure and properties, polytypism, modulated structures, and other topics are discussed. Applications of important techniques, such as X-ray crystallography, biophysical studies, EPR spectroscopy, crystal optics, and nuclear solid state physics, are represented. Contains 30 research and review papers.
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.
Book Synopsis Physical Chemistry of Inorganic Crystalline Solids by : Hugo F. Franzen
Download or read book Physical Chemistry of Inorganic Crystalline Solids written by Hugo F. Franzen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of Physical Chemistry has developed through the application of theories and concepts developed by physicists to properties or processes of interest to chemists. Physicists, being principally concerned with the basic ideas, have generally restricted their attention to the simplest systems to which the concepts applied, and the task of applying the techniques and theories to the myriad substances and processes that comprise chemistry has been that of the physical chemists. The field of Solid State Chemistry has developed with a major impetus from the synthetic chemists who prepared unusual, novel materials with the principal guid ing ideas growing out of an understanding of crystal structure and crystal structure relationships. The novel materials that pour forth from this chemical cornucopia cry out for further characterization and interpretation. The major techniques for the characterization and interpretation of crystalline solids have been developed in the fields of Solid State Physics and Crystallography. Thus, the need arose for expanding the realm of Physical Chemistry from its traditional concern with molecules and their properties and reactions to include the physics and chemistry of crystalline solids. This book deals with the applications of crystallography, group theory and thermodynamics to problems dealing with non molecular crystalline solids.
Book Synopsis Synergetics and Dynamic Instabilities by : G. Caglioti
Download or read book Synergetics and Dynamic Instabilities written by G. Caglioti and published by Elsevier. This book was released on 1988-01-01 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of papers presented at the Enrico Fermi School considers the subject of synergetics as a firmly established field of interdisciplinary research, ranging from physics, chemistry and biology, to subjects like economy and sociology. These proceedings focus on the natural sciences.
Author :Boris K. Vainshtein Publisher :Springer Science & Business Media ISBN 13 :9783540565581 Total Pages :520 pages Book Rating :4.5/5 (655 download)
Book Synopsis Fundamentals of Crystals by : Boris K. Vainshtein
Download or read book Fundamentals of Crystals written by Boris K. Vainshtein and published by Springer Science & Business Media. This book was released on 1994 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "[...] an excellent reference book. I have no doubt it will become a much-thumbed resource for students and researchers in mineralogy and crystallography." Geological Magazine
