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Crystal Symmetries
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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 2014-06-28 with total page 321 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 Symmetry and Physical Properties of Crystals by : Cécile Malgrange
Download or read book Symmetry and Physical Properties of Crystals written by Cécile Malgrange and published by Springer. This book was released on 2014-12-04 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: Crystals are everywhere, from natural crystals (minerals) through the semiconductors and magnetic materials in electronic devices and computers or piezoelectric resonators at the heart of our quartz watches to electro-optical devices. Understanding them in depth is essential both for pure research and for their applications. This book provides a clear, thorough presentation of their symmetry, both at the microscopic space-group level and the macroscopic point-group level. The implications of the symmetry of crystals for their physical properties are then presented, together with their mathematical description in terms of tensors. The conditions on the symmetry of a crystal for a given property to exist then become clear, as does the symmetry of the property. The geometrical representation of tensor quantities or properties is presented, and its use in determining important relationships emphasized. An original feature of this book is that most chapters include exercises with complete solutions. This allows readers to test and improve their understanding of the material. The intended readership includes undergraduate and graduate students in materials science and materials-related aspects of electrical and optical engineering; researchers involved in the investigation of the physical properties of crystals and the design of applications based on crystal properties such as piezoelectricity, electro-optics, optical activity and all those involved in the characterization of the structural properties of materials.
Book Synopsis Crystal Structures by : Michael O'Keeffe
Download or read book Crystal Structures written by Michael O'Keeffe and published by Courier Dover Publications. This book was released on 2020-04-15 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text is devoted to describing crystal structures, especially periodic structures, and their symmetries. Updated material prepared by author enhances presentation, which can serve as text or reference. 1996 edition.
Book Synopsis Site Symmetry in Crystals by : Robert A. Evarestov
Download or read book Site Symmetry in Crystals written by Robert A. Evarestov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Site Symmetry in Crystals is the first comprehensive account of the group-theoretical aspects of the site (local) symmetry approach to the study of crystalline solids. The efficiency of this approach, which is based on the concepts of simple induced and band representations of space groups, is demonstrated by considering newly developed applications to electron surface states, point defects, symmetry analysis in lattice dynamics, the theory of second-order phase transitions, and magnetically ordered and non-rigid crystals. Tables of simple induced respresentations are given for the 24 most common space groups, allowing the rapid analysis of electron and phonon states in complex crystals with many atoms in the unit cell.
Book Synopsis Symmetry, Group Theory, and the Physical Properties of Crystals by : Richard C Powell
Download or read book Symmetry, Group Theory, and the Physical Properties of Crystals written by Richard C Powell and published by Springer. This book was released on 2010-12-01 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complete with reference tables and sample problems, this volume serves as a textbook or reference for solid-state physics and chemistry, materials science, and engineering. Chapters illustrate symmetry, and its role in determining solid properties, as well as a demonstration of group theory.
Book Synopsis Structure of Materials by : Marc De Graef
Download or read book Structure of Materials written by Marc De Graef and published by Cambridge University Press. This book was released on 2012-10-08 with total page 773 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new edition of the highly readable textbook applying the fundamentals of crystallography, symmetry and diffraction to a range of materials.
Book Synopsis Introduction to Crystallography by : Frank Hoffmann
Download or read book Introduction to Crystallography written by Frank Hoffmann and published by Springer Nature. This book was released on 2020-07-31 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book invites you on a systematic tour through the fascinating world of crystals and their symmetries. The reader will gain an understanding of the symmetry of external crystal forms (morphology) and become acquainted with all the symmetry elements needed to classify and describe crystal structures. The book explains the context in a very vivid, non-mathematical way and captivates with clear, high-quality illustrations. Online materials accompany the book; including 3D models the reader can explore on screen to aid in the spatial understanding of the structure of crystals. After reading the book, you will not only know what a space group is and how to read the International Tables for Crystallography, but will also be able to interpret crystallographic specifications in specialist publications. If questions remain, you also have the opportunity to ask the author on the book's website.
Book Synopsis Site Symmetry in Crystals by : Robert A. Evarestov
Download or read book Site Symmetry in Crystals written by Robert A. Evarestov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: The history of applications of space group theory to solid state physics goes back more than five decades. The periodicity of the lattice and the definition of a k-space were the corner-stones of this application. Prof. Volker Heine in Vol. 35 of Solid State Physics (1980) noted that, even in perfect crystals, where k-space methods are appropriate, the local properties (such as the charge densi ty, bond order, etc.) are defined by the local environment of one atom. Natural ly, "k-space methods" are not appropriate for crystals with point defects, sur faces and interfaces, or for amorphous materials. In such cases the real-space approach favored by chemists to describe molecules has turned out to be very useful. To span the gulf between the k-space and real space methods it is helpful to recall that atoms in crystalline solids possess a site symmetry defined by the symmetry of the local environment of the atom occupying the site. The site symmetry concept is familiar to crystallographers and commonly used by them in the description of crystalline structures. However, in the application of group theory to solid state physics problems, the site symmetry approach has been used only for the last ten to fifteen years. In our book Methods oj Group Theory in the Quantum Chemistry oj Solids published in Russian in 1987 by Leningrad University Press we gave the first results of this application to the theory of electronic structure of crystals.
Book Synopsis Outline of Crystallography for Biologists by : David Blow
Download or read book Outline of Crystallography for Biologists written by David Blow and published by OUP Oxford. This book was released on 2002-04-11 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Outline of Crystallography for Biologists is intended for researchers and students in the biological sciences who require an insight into the methods of X-ray crystallography without needing to learn all the relevant theory. The main text is purely descriptive and is readable by those with minimal mathematical knowledge. Some mathematical detail is given throughout in boxes, but these can be ignored. Theory is limited to the essentials required to comprehend issues of quality. There is an extensive reference section and suggestions for further reading for those who wish to delve deeper. The first part 'Fundamentals' presents the underlying ideas which allow x-ray structure analysis to be carried out and provides an appropriate background to courses in structural determination. The second part 'Practice' gives more information about the procedures employed in the course of crystal structure determination. The emphasis is on the quality measures of X-ray diffraction analysis to give the reader a critical insight into the quality and accuracy of a structure determination and to enable the reader to appreciate which parts of a structure determination may have caused special difficulty. There is no pretence of completeness and many matters discussed in standard crystallography texts are deliberately omitted. However, issues not brought out in the standard texts are discussed, making it a useful resource for non-practising crystallographers as well.
Book Synopsis Nonlinear Mechanics of Crystals by : John D. Clayton
Download or read book Nonlinear Mechanics of Crystals written by John D. Clayton and published by Springer Science & Business Media. This book was released on 2010-11-01 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes behavior of crystalline solids primarily via methods of modern continuum mechanics. Emphasis is given to geometrically nonlinear descriptions, i.e., finite deformations. Primary topics include anisotropic crystal elasticity, plasticity, and methods for representing effects of defects in the solid on the material's mechanical response. Defects include crystal dislocations, point defects, twins, voids or pores, and micro-cracks. Thermoelastic, dielectric, and piezoelectric behaviors are addressed. Traditional and higher-order gradient theories of mechanical behavior of crystalline solids are discussed. Differential-geometric representations of kinematics of finite deformations and lattice defect distributions are presented. Multi-scale modeling concepts are described in the context of elastic and plastic material behavior. Representative substances towards which modeling techniques may be applied are single- and poly- crystalline metals and alloys, ceramics, and minerals. This book is intended for use by scientists and engineers involved in advanced constitutive modeling of nonlinear mechanical behavior of solid crystalline materials. Knowledge of fundamentals of continuum mechanics and tensor calculus is a prerequisite for accessing much of the text. This book could be used as supplemental material for graduate courses on continuum mechanics, elasticity, plasticity, micromechanics, or dislocation mechanics, for students in various disciplines of engineering, materials science, applied mathematics, and condensed matter physics.
Book Synopsis Fundamentals of the Physics of Solids by : Jenö Sólyom
Download or read book Fundamentals of the Physics of Solids written by Jenö Sólyom and published by Springer Science & Business Media. This book was released on 2007-09-19 with total page 697 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first of a three-volume series written by the same author. It aims to deliver a comprehensive and self-contained account of the fundamentals of the physics of solids. In the presentation of the properties and experimentally observed phenomena together with the basic concepts and theoretical methods, it goes far beyond most classic texts. The essential features of various experimental techniques are also explained. The text provides material for upper-level undergraduate and graduate courses. It will also be a valuable reference for researchers in the field of condensed matter physics.
Book Synopsis Incommensurate Crystallography by : Sander van Smaalen
Download or read book Incommensurate Crystallography written by Sander van Smaalen and published by Oxford University Press. 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.
Book Synopsis Symmetry in Crystallography by : Paolo Radaelli
Download or read book Symmetry in Crystallography written by Paolo Radaelli and published by Oxford University Press. This book was released on 2011-09-22 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fresh approach to teaching crystallographic symmetry. Rather than being swamped by heavy algebraic notation, the reader is taken through a series of simple and beautiful examples from the visual arts, and taught how to analyse them employing the 'pictorial' diagrams used in the International Tables of Crystallography.
Book Synopsis Classification Made Relevant by : Jules J. Berman
Download or read book Classification Made Relevant written by Jules J. Berman and published by Academic Press. This book was released on 2022-01-25 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classification Made Relevant: How Scientists Build and Use Classifications and Ontologies explains how classifications and ontologies are designed and used to analyze scientific information. The book presents the fundamentals of classification, leading up to a description of how computer scientists use object-oriented programming languages to model classifications and ontologies. Numerous examples are chosen from the Classification of Life, the Periodic Table of the Elements, and the symmetry relationships contained within the Classification Theorem of Finite Simple Groups. When these three classifications are tied together, they provide a relational hierarchy connecting all of the natural sciences. The book's chapters introduce and describe general concepts that can be understood by any intelligent reader. With each new concept, they follow practical examples selected from various scientific disciplines. In these cases, technical points and specialized vocabulary are linked to glossary items where the item is clarified and expanded. Explains the theory and practice of classification, emphasizing the importance of classifications and ontologies to the modern fields of mathematics, physics, chemistry, biology and medicine Includes numerous real-world examples that demonstrate how bad construction technique can destroy the value of classifications and ontologies Explains how we define and understand the relationships among the classes within a classification and how the properties of a class are inherited by its subclasses Describes ontologies and how they differ from classifications and explains conditions under which ontologies are useful
Book Synopsis Introduction to Photonic and Phononic Crystals and Metamaterials by : Arthur R. McGurn
Download or read book Introduction to Photonic and Phononic Crystals and Metamaterials written by Arthur R. McGurn and published by Springer Nature. This book was released on 2022-06-01 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Photonic and Phononic Crystals and Metamaterials, by Arthur R. McGurn, presents a study of the fundamental properties of optical and acoustic materials which have been of recent interest in nanoscience and device technology. The level of the presentations is appropriate for advanced undergraduates, beginning graduate students, and researchers not directly involved in the field. References are given to guide the reader to more advanced study in these fields. Discussions of the physics of photonic and phononic crystals focus on the transmission properties of optical and acoustic radiation arising from their diffractive interaction in these engineered materials. The frequency transmission and non-transmission bands of radiation are explained in terms of the symmetry properties of the photonic and phononic artificial crystal structures. Basic applications of these properties to a variety of their technological applications are examined. The physics of metamaterials is discussed along with their relationships to the ideas of resonance. Properties of negative index of refraction, perfect lens, and unusual optical effects the new optics of metamaterial media makes available are examined. Related effects in acoustics are also covered. Basic principles of surface acoustic and electromagnetic waves are explained. These form an introduction to the fundamental ideas of the recently developing fields of plasmonics and surface acoustics.
Book Synopsis Physical Properties of Crystals by : J. F. Nye
Download or read book Physical Properties of Crystals written by J. F. Nye and published by Oxford University Press. This book was released on 1985 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1957, this classic study has been reissued in a paperback version that includes an additional chapter bringing the material up to date. The author formulates the physical properties of crystals systematically in tensor notation, presenting tensor properties in terms of their common mathematical basis and the thermodynamic relations between them. The mathematical groundwork is laid in a discussion of tensors of the first and second ranks. Tensors of higher ranks and matrix methods are then introduced as natural developments of the theory. A similar pattern is followed in discussing thermodynamic and optical aspects.
Book Synopsis Symmetry Groups and Their Applications by :
Download or read book Symmetry Groups and Their Applications written by and published by Academic Press. This book was released on 1973-03-02 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry Groups and Their Applications
