Symmetry Group Theory And The Physical Properties Of Crystals
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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.
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.
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.
Symmetry Principles And Magnetic Symmetry In Solid State Physics
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Author : S. J. Joshua
language : en
Publisher: CRC Press
Release Date : 1991-01-01
Symmetry Principles And Magnetic Symmetry In Solid State Physics written by S. J. Joshua and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-01-01 with Science categories.
Group theory and symmetry are important concepts in solid state physics, but are not widely taught because of the mathematical complexities involved. This book aims to remedy this by using a practical approach which bypasses most of the abstruse detail of formal group theory. The subject is usually developed using abstract entities, but here the author uses concrete examples to aid understanding in his development of the basics of the subject. This makes the book an ideal text for senior undergraduate and graduate students. The book is divided into two parts. Part one introduces the reader to group theoretical techniques and applications via the extensive use of character tables. All topics required for a complete understanding of group theory in the context of solid state physics are covered. The author demonstrates clearly how symmetry arguments can be applied to give detailed insights into the physical properties of crystals. This part ends with a selection of applications which will prove useful to solid state physicists/chemists and materials scientists. Each chapter includes a set of problems with hints and solutions. Part two is self-contained and deals with applications of group theory to the study of the symmetry properties of strongly magnetic crystals. This is a topic usually omitted from group theory texts at this level. Symmetry Principles and Magnetic Symmetry in Solid State Physics is a comprehensive introduction to the subject. It will be of great use to all students of condensed matter and materials science.
Symmetry
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Author : R. McWeeny
language : en
Publisher: Elsevier
Release Date : 2013-09-03
Symmetry written by R. McWeeny and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-03 with Mathematics categories.
Symmetry: An Introduction to Group Theory and its Application is an eight-chapter text that covers the fundamental bases, the development of the theoretical and experimental aspects of the group theory. Chapter 1 deals with the elementary concepts and definitions, while Chapter 2 provides the necessary theory of vector spaces. Chapters 3 and 4 are devoted to an opportunity of actually working with groups and representations until the ideas already introduced are fully assimilated. Chapter 5 looks into the more formal theory of irreducible representations, while Chapter 6 is concerned largely with quadratic forms, illustrated by applications to crystal properties and to molecular vibrations. Chapter 7 surveys the symmetry properties of functions, with special emphasis on the eigenvalue equation in quantum mechanics. Chapter 8 covers more advanced applications, including the detailed analysis of tensor properties and tensor operators. This book is of great value to mathematicians, and math teachers and students.
Crystal Symmetry Lattice Vibrations And Optical Spectroscopy Of Solids
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Author : Baldassare Di Bartolo
language : en
Publisher: World Scientific
Release Date : 2014-05-21
Crystal Symmetry Lattice Vibrations And Optical Spectroscopy Of Solids written by Baldassare Di Bartolo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-21 with Mathematics categories.
This book provides a comprehensive treatment of the two fundamental aspects of a solid that determine its physical properties: lattice structure and atomic vibrations (phonons). The elements of group theory are extensively developed and used as a tool to show how the symmetry of a solid and the vibrations of the atoms in the solid lead to the physical properties of the material. The uses of different types of spectroscopy techniques that elucidate the lattice structure of a solid and the normal vibrational modes of the atoms in the solid are described. The interaction of light with solids (optical spectroscopy) is described in detail including how lattice symmetry and phonons affect the spectral properties and how spectral properties provide information about the material's symmetry and normal modes of lattice vibrations. The effects of point defects (doping) on the lattice symmetry and atomic vibrations and thus the spectral properties are discussed and used to show how material symmetry and lattice vibrations are critical in determining the properties of solid state lasers. Contents:Symmetry of CrystalsIntroductionConcepts of Group TheoryCrystal SymmetriesGroup Theoretical Treatment of Crystal SymmetriesScattering of X-Rays by CrystalsLattice Vibrations of CrystalsLattice Vibrations of CrystalsThermodynamics of Lattice VibrationsEffects of Lattice Vibrations on X-Ray Scattering and Neutron ScatteringOptical Spectroscopy of Crystals:Interaction of Radiation with MatterOptical Spectra of Impurities in Solids IOptical Spectra of Impurities in Solids IIInteraction of Light with Lattice Vibrations: Infrared Absorption and Inelastic Light ScatteringLattice Vibrations and Lasers Readership: This book is an ideal upper undergraduate/graduate textbook for students in solid state physics courses as well as researchers in this area. Key Features:No other solid state physics textbook deals with lattice vibrations and their effects on the interaction of radiation with matter in the detail that this book doesNo other solid state physics book has the strong focus on symmetry and group theory that this book doesNo other book on group theory provides the variety of detailed examples of how to use group theory that is found in this bookKeywords:Symmetry;Group Theory;Phonons;Spectroscopy;Crystals;Lasers;Solid State Physics
Theory Of Crystal Space Groups And Lattice Dynamics
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Author : J. L. Birman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Theory Of Crystal Space Groups And Lattice Dynamics written by J. L. Birman 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.
Reissue of Encyclopedia of Physics/Handbuch der Physik, Vol. XXV/2b I am very pleased that my book is now to be reprinted and rebound in a new format which should make it accessible at a modest price to students and active researchers in condensed matter physics. In writing this book I had in mind an audience of physicists and chemists with no previous deep exposure to symmetry analysis of crystalline matter, non to the use of symmetry in simplifying and refining predictions of the results of optical experiments. Hence the book was written to explain and illustrate in all necessary detail how to: 1) describe the space group symmetry in terms of space group symmetry operations; 2) obtain irreducible representations and selection rules for optical infra-red and Raman and other transition processes. On the physical side I redeveloped the traditional theory of classical and quantum lattice dynamics, illustrating how space-time symmetry designations in the equations of motion can: 1) simplify and rationalize calculations of the classical eigenvectors of the dynamical equation; 2) permit classification of the eigenstates of the quantum lattice-dynamic pro blem; 3) give specific selection rules for optical infra-red and Raman lattice processes, and thus make "go, no-go" predictions including polarization of absorbed or scattered radiation; and 4) simplify the modern many-body theories of optical processes.
Symmetry And Group Theory In Chemistry
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Author : M Ladd
language : en
Publisher: Elsevier
Release Date : 1998-09-01
Symmetry And Group Theory In Chemistry written by M Ladd and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-09-01 with Mathematics categories.
A comprehensive discussion of group theory in the context of molecular and crystal symmetry, this book covers both point-group and space-group symmetries. Provides a comprehensive discussion of group theory in the context of molecular and crystal symmetry Covers both point-group and space-group symmetries Includes tutorial solutions
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.