Crystal Symmetry And Physical Properties
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Symmetry And Physical Properties Of Crystals
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Author : Cécile Malgrange
language : en
Publisher: Springer
Release Date : 2014-12-04
Symmetry And Physical Properties Of Crystals written by Cécile Malgrange and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-04 with Science categories.
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.
Physical Properties Of Crystals
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Author : J. F. Nye
language : en
Publisher: Oxford University Press
Release Date : 1985
Physical Properties Of Crystals written by J. F. Nye and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
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.
Symmetry Group Theory And The Physical Properties Of Crystals
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Author : Richard C. Powell
language : en
Publisher:
Release Date : 2011-03-30
Symmetry Group Theory And The Physical Properties Of Crystals written by Richard C. Powell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-30 with categories.
Properties Of Materials
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Author : Robert E. Newnham
language : en
Publisher: OUP Oxford
Release Date : 2004-11-12
Properties Of Materials written by Robert E. Newnham and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-12 with Science categories.
Crystals are sometimes called 'Flowers of the Mineral Kingdom'. In addition to their great beauty, crystals and other textured materials are enormously useful in electronics, optics, acoustics, and many other engineering applications. This book describes the underlying principles of crystal physics and chemistry, covering a wide range of topics, and illustrating numerous applications in many fields of engineering using the most important materials. It has been written at a level suitable for science and engineering students and can be used for teaching a one- or two-semester course. Tensors, matrices, symmetry and structure-property relationships form the main subjects of the book. Whilst tensors and matrices provide the mathematical framework for understanding anisotropy, on which the physical and chemical properties of crystals and textured materials often depend, atomistic arguments are also needed to quantify the property coefficients in various directions. The atomistic arguments are partly based on symmetry and partly on the basic physics and chemistry of materials. After introducing the point groups appropriate for single crystals, textured materials and ordered magnetic structures, the directional properties of many different materials are described: linear and nonlinear elasticity, piezoelectricity and electrostriction, magnetic phenomena, diffusion and other transport properties, and both primary and secondary ferroic behaviour. With crystal optics (its roots in classical mineralogy) having become an important component of the information age, nonlinear optics is described along with the piezo-optics, magneto-optics and electro-optics, and analogous linear and nonlinear acoustic wave phenomena. Enantiomorphism, optical activity, and chemical anisotropy are discussed in the final chapters of the book.
Crystal Symmetry And Physical Properties
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Author : S. Bhagavantam
language : en
Publisher:
Release Date : 1966
Crystal Symmetry And Physical Properties written by S. Bhagavantam and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Crystals categories.
Symmetry Group Theory And The Physical Properties Of Crystals
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Author : Richard C Powell
language : en
Publisher: Springer
Release Date : 2010-12-01
Symmetry Group Theory And The Physical Properties Of Crystals written by Richard C Powell and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-01 with Science categories.
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.
Tensors And Group Theory For The Physical Properties Of Crystals
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Author : William Alfred Wooster
language : en
Publisher:
Release Date : 1973
Tensors And Group Theory For The Physical Properties Of Crystals written by William Alfred Wooster and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematics categories.
Crystal Properties Via Group Theory
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Author : Arthur S. Nowick
language : en
Publisher: Cambridge University Press
Release Date : 1995-12-14
Crystal Properties Via Group Theory written by Arthur S. Nowick and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-12-14 with Mathematics categories.
This book deals with the effect of crystal symmetry in determining the tensor properties of crystals. Although this is a well-established subject, the author provides a new approach using group theory and, in particular, the method of symmetry coordinates, which has not been used in any previous book. Using this approach, all tensors of a given rank and type can be handled together, even when they involve very different physical phenomena. Applications to technologically important phenomena as diverse as the electro-optic, piezoelectric, photoelastic, piezomagnetic, and piezoresistance effects, as well as magnetothermoelectric power and third-order elastic constants, are presented. Attention is also given to 'special magnetic properties', that is those that require the concepts of time reversal and magnetic symmetry, an important subject not always covered in other books in this area. This book will be of interest to researchers in solid-state physics and materials science, and will also be suitable as a text for graduate students in physics and engineering taking courses in solid-state physics.
Physical Properties Of Crystals
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Author : John Frederick Nye
language : en
Publisher:
Release Date : 1957
Physical Properties Of Crystals written by John Frederick Nye and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with Crystallography categories.
Crystals And Crystal Structures
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Author : Richard J. D. Tilley
language : en
Publisher: John Wiley & Sons
Release Date : 2020-08-03
Crystals And Crystal Structures written by Richard J. D. Tilley and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-03 with Science categories.
An authoritative, updated text that offers an introduction to crystals and crystal structure with coverage of crystallography, and microscopy of materials Written in a friendly, non-mathematical style, the updated second edition of Crystals and Crystal Structures offers a comprehensive exploration of the key elements of crystals and crystal structures. Starting with the basics, it includes information on multiple areas of crystallography, including modulated structures, quasicrystals and protein crystallography, and interdisciplinary applications as diverse as the relationship between physical properties and symmetry. To enhance comprehension of the material presented, the book contains a variety of problems and exercises. The revised second edition offers new material and updates in the field including: An introduction to the use of high intensity X-ray analysis of protein structures Advances in imaging, scanning electron microscopy, and cryo-electron microscopy The relationship between symmetry and physical properties highlighting new findings and an introduction to tensor notation in describing these relationships in a concise fashion Nanoparticles as well as crystallographic aspects, defects, surface defects and the impact of these crystallographic features on properties Perovskite structures and their variations and the inclusion of their wide-ranging properties Written for students ofcrystallography, chemistry, physics, materials science, biosciences and geology, Crystals and Crystal Structures, Second Edition provides an understanding of the subject and enables students to read scientific papers and articles describing a crystal structure or use crystallographic databases.