Crystal Properties Via Group Theory
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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 Science 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. The author presents 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. He also gives attention to "special magnetic properties", i.e., 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 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.
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.
Group Theory With Applications In Chemical Physics
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Author : Patrick W. M. Jacobs
language : en
Publisher: Cambridge University Press
Release Date : 2005-10-18
Group Theory With Applications In Chemical Physics written by Patrick W. M. Jacobs 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 2005-10-18 with Mathematics categories.
This book provides a rigorous account on the fundamentals and applications of Group Theory to chemical physics.
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.
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.
Point Groups Space Groups Crystals Molecules
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Author : R Mirman
language : en
Publisher: World Scientific Publishing Company
Release Date : 1999-05-14
Point Groups Space Groups Crystals Molecules written by R Mirman and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-05-14 with Science categories.
This book is by far the most comprehensive treatment of point and space groups, and their meaning and applications. Its completeness makes it especially useful as a text, since it gives the instructor the flexibility to best fit the class and goals. The instructor, not the author, decides what is in the course. And it is the prime book for reference, as material is much more likely to be found in it than in any other book; it also provides detailed guides to other sources. Much of what is taught is folklore, things everyone knows are true, but (almost?) no one knows why, or has seen proofs, justifications, rationales or explanations. (Why are there 14 Bravais lattices, and why these? Are the reasons geometrical, conventional or both? What determines the Wigner–Seitz cells? How do they affect the number of Bravais lattices? Why are symmetry groups relevant to molecules whose vibrations make them unsymmetrical? And so on). Here these analyses are given, interrelated, and in-depth. The understanding so obtained gives a strong foundation for application and extension. Assumptions and restrictions are not merely made explicit, but also emphasized. In order to provide so much information, details and examples, and ways of helping readers learn and understand, the book contains many topics found nowhere else, or only in obscure articles from the distant past. The treatment is (often completely) different from those elsewhere. At least in the explanations, and usually in many other ways, the book is completely new and fresh. It is designed to inform, educate and make the reader think. It strongly emphasizes understanding. The book can be used at many levels, by many different classes of readers — from those who merely want brief explanations (perhaps just of terminology), who just want to skim, to those who wish the most thorough understanding. Request Inspection Copy
Introduction To Group Theory With Applications
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Author : Gerald Burns
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Introduction To Group Theory With Applications written by Gerald Burns and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Introduction to Group Theory with Applications covers the basic principles, concepts, mathematical proofs, and applications of group theory. This book is divided into 13 chapters and begins with discussions of the elementary topics related to the subject, including symmetry operations and group concepts. The succeeding chapters deal with the properties of matrix representations of finite groups, the vibrations of molecular and crystals, vibrational wave function, selection rules, and molecular approximations. These topics are followed by reviews of the basic of quantum mechanics, crystal field theory, atomic physics, hybrid functions, and molecular orbital theory. The last chapters describe the symmetry of crystal lattices, the band theory of solids, and the full rotation group. This book will be of value to undergraduate mathematics and physics students.
Symmetry And Condensed Matter Physics
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Author : M. El-Batanouny
language : en
Publisher: Cambridge University Press
Release Date : 2008-03-13
Symmetry And Condensed Matter Physics written by M. El-Batanouny 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 2008-03-13 with Science categories.
Unlike existing texts, this book blends for the first time three topics in physics - symmetry, condensed matter physics and computational methods - into one pedagogical textbook. It includes new concepts in mathematical crystallography; experimental methods capitalizing on symmetry aspects; non-conventional applications such as Fourier crystallography, color groups, quasicrystals and incommensurate systems; as well as concepts and techniques behind the Landau theory of phase transitions. Adopting a computational approach to the application of group theoretical techniques to solving symmetry related problems, it dramatically alleviates the need for intensive calculations usually found in the presentation of symmetry. Writing computer programs helps the student achieve a firm understanding of the underlying concepts, and sample programs, based on Mathematica, are presented throughout the book. Containing over 150 exercises, this textbook is ideal for graduate students in condensed matter physics, materials science, and chemistry. Solutions and computer programs are available online at www.cambridge.org/9780521828451.
Group Theory Finite Discrete Groups And Applications
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Author : Ioannis John Demetrius Vergados
language : en
Publisher: World Scientific
Release Date : 2023-06-28
Group Theory Finite Discrete Groups And Applications written by Ioannis John Demetrius Vergados and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-28 with Science categories.
This book deals with the role played by symmetry in the understanding of the physical world, beginning with the notion of geometric symmetries of the ancient Greek philosophers and mathematicians. The recognition of the existence of symmetries led to the notion of transformations, which led from one state of the system to another. It was then realized that such transformations, under the operation of multiplication, constitute an interesting set, whose study led to the branch of mathematics known as Group Theory. With the emergence of quantum mechanics, this theory became much more interesting and led to some additional applications. The theory got another boost with the need for of the internal degrees of freedom in describing physical systems. This way the notion of symmetry is no longer purely geometric and evolved into a useful tool in the study of all physical sciences.For practical reasons as well as pedagogical reasons, group theory is usually split into two parts. The first deals with discrete groups, with the group elements being countable, usually finite in number, while the second deals with continuous groups, whose elements depend on continuous parameters. This volumefocuses the discussion on discrete groups. Given that group theory should be presented from a unified perspective, involving not only the mathematical rigor and beauty of symmetries, but also the ability to use it as a tool for applications, either currently popular or expected to become so in the future, this approach will surely be more beneficial to the dedicated reader. It is not intended for those who would like to just look up a formula or use the results of a table, without understanding their derivation.