Crystal Properties Via Group Theory

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Crystal Properties Via Group Theory

Author : Arthur S. Nowick
Publisher : Cambridge University Press
ISBN 13 : 052141945X
Total Pages : 246 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Crystal Properties Via Group Theory by : Arthur S. Nowick

Download or read book Crystal Properties Via Group Theory written by Arthur S. Nowick and published by Cambridge University Press. This book was released on 1995-12-14 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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, Group Theory, and the Physical Properties of Crystals

Author : Richard C Powell
Publisher : Springer
ISBN 13 : 1441975985
Total Pages : 238 pages
Book Rating : 4.4/5 (419 download)

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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 238 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.

Group Theory with Applications in Chemical Physics

Author : Patrick W. M. Jacobs
Publisher : Cambridge University Press
ISBN 13 : 9780521642507
Total Pages : 520 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Group Theory with Applications in Chemical Physics by : Patrick W. M. Jacobs

Download or read book Group Theory with Applications in Chemical Physics written by Patrick W. M. Jacobs and published by Cambridge University Press. This book was released on 2005-10-18 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a rigorous account on the fundamentals and applications of Group Theory to chemical physics.

Physical Properties of Crystals

Author : J. F. Nye
Publisher : Oxford University Press
ISBN 13 : 9780198511656
Total Pages : 356 pages
Book Rating : 4.5/5 (116 download)

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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.

Group Theory

Author : Mildred S. Dresselhaus
Publisher : Springer Science & Business Media
ISBN 13 : 3540328998
Total Pages : 576 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Group Theory by : Mildred S. Dresselhaus

Download or read book Group Theory written by Mildred S. Dresselhaus and published by Springer Science & Business Media. This book was released on 2007-12-18 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise, class-tested book was refined over the authors’ 30 years as instructors at MIT and the University Federal of Minas Gerais (UFMG) in Brazil. The approach centers on the conviction that teaching group theory along with applications helps students to learn, understand and use it for their own needs. Thus, the theoretical background is confined to introductory chapters. Subsequent chapters develop new theory alongside applications so that students can retain new concepts, build on concepts already learned, and see interrelations between topics. Essential problem sets between chapters aid retention of new material and consolidate material learned in previous chapters.

Point Groups, Space Groups, Crystals, Molecules

Author : R Mirman
Publisher : World Scientific Publishing Company
ISBN 13 : 9813105364
Total Pages : 744 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Point Groups, Space Groups, Crystals, Molecules by : R Mirman

Download or read book Point Groups, Space Groups, Crystals, Molecules written by R Mirman and published by World Scientific Publishing Company. This book was released on 1999-05-14 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Symmetry and Condensed Matter Physics

Author : M. El-Batanouny
Publisher : Cambridge University Press
ISBN 13 : 1139469517
Total Pages : 3 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Symmetry and Condensed Matter Physics by : M. El-Batanouny

Download or read book Symmetry and Condensed Matter Physics written by M. El-Batanouny and published by Cambridge University Press. This book was released on 2008-03-13 with total page 3 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Ioannis John Demetrius Vergados
Publisher : World Scientific
ISBN 13 : 9811274770
Total Pages : 364 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Group Theory: Finite Discrete Groups And Applications by : Ioannis John Demetrius Vergados

Download or read book Group Theory: Finite Discrete Groups And Applications written by Ioannis John Demetrius Vergados and published by World Scientific. This book was released on 2023-06-28 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Ferroic Materials

Author : Vinod Wadhawan
Publisher : CRC Press
ISBN 13 : 1482283050
Total Pages : 765 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Introduction to Ferroic Materials by : Vinod Wadhawan

Download or read book Introduction to Ferroic Materials written by Vinod Wadhawan and published by CRC Press. This book was released on 2000-12-21 with total page 765 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ferroic materials are important, not only because of the improved understanding of condensed matter, but also because of their present and potential device applications. This book presents a unified description of ferroic materials at an introductory level, with the unifying factor being the occurrence of nondisruptive phase transitions in crystals

Electromagnetic Anisotropy and Bianisotropy

Author : Tom G. Mackay
Publisher : World Scientific
ISBN 13 : 9814289612
Total Pages : 236 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Electromagnetic Anisotropy and Bianisotropy by : Tom G. Mackay

Download or read book Electromagnetic Anisotropy and Bianisotropy written by Tom G. Mackay and published by World Scientific. This book was released on 2010 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topics of anisotropy and bianisotropy are fundamental to electromagnetics from both theoretical and experimental perspectives. These properties underpin a host of complex and exotic electromagnetic phenomenons in naturally occurring materials and in relativistic scenarios, as well as in artificially produced metamaterials. As a unique guide to this rapidly developing field, the book provides a unified presentation of key classic and recent results on the studies of constitutive relations, spacetime symmetries, planewave propagation, dyadic Green functions, and homogenization of composite materials. This book also offers an up-to-date extension to standard treatments of crystal optics with coverage on both linear and weakly nonlinear regimes.

Physical Properties of Crystals

Author : Siegfried Haussühl
Publisher : John Wiley & Sons
ISBN 13 : 3527621164
Total Pages : 453 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Physical Properties of Crystals by : Siegfried Haussühl

Download or read book Physical Properties of Crystals written by Siegfried Haussühl and published by John Wiley & Sons. This book was released on 2008-07-11 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern semiconductor and laser techniques would be unthinkable today without a highly developed physics of solids. As tailored materials increasingly gain significance, it is more important than ever to understand the basics of crystalline materials and the influence of their symmetry on phenomenological aspects. This first international edition of a classic German standard integrates the latest developments in the field, including two-dimensional crystals and Giant Magneto-Resistance. Its aim is to impart the knowledge necessary to comprehend the manifold peculiarities of crystalline substances in a comprehensive and easily accessible manner. The book devotes much space to a coherent introduction to tensor calculation, making this the first to address the topic in a readily understandable way. Supplemented by 40 exercises with their solutions, this is an ideal textbook for students of physics and chemistry, solid state physicists and chemists, and materials scientists, but also a comprehensive resource for those who wish to get an overview of this important topic.

Tensors and Group Theory for the Physical Properties of Crystals

Author : William Alfred Wooster
Publisher :
ISBN 13 :
Total Pages : 364 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Tensors and Group Theory for the Physical Properties of Crystals by : William Alfred Wooster

Download or read book Tensors and Group Theory for the Physical Properties of Crystals written by William Alfred Wooster and published by . This book was released on 1973 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Structure of Materials

Author : Marc De Graef
Publisher : Cambridge University Press
ISBN 13 : 1139560476
Total Pages : 773 pages
Book Rating : 4.1/5 (395 download)

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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: This highly readable, popular textbook for upper undergraduates and graduates comprehensively covers the fundamentals of crystallography and symmetry, applying these concepts to a large range of materials. New to this edition are more streamlined coverage of crystallography, additional coverage of magnetic point group symmetry and updated material on extraterrestrial minerals and rocks. New exercises at the end of chapters, plus over 500 additional exercises available online, allow students to check their understanding of key concepts and put into practice what they have learnt. Over 400 illustrations within the text help students visualise crystal structures and more abstract mathematical objects, supporting more difficult topics like point group symmetries. Historical and biographical sections add colour and interest by giving an insight into those who have contributed significantly to the field. Supplementary online material includes password-protected solutions, over 100 crystal structure data files, and Powerpoints of figures from the book.

Mineral Behaviour at Extreme Conditions

Author : Ronald Miletich
Publisher : The Mineralogical Society of Great Britain and Ireland
ISBN 13 : 9634638376
Total Pages : 502 pages
Book Rating : 4.6/5 (346 download)

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Book Synopsis Mineral Behaviour at Extreme Conditions by : Ronald Miletich

Download or read book Mineral Behaviour at Extreme Conditions written by Ronald Miletich and published by The Mineralogical Society of Great Britain and Ireland. This book was released on 2005-01-01 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Group Theory and Its Applications in Physics

Author : Teturo Inui
Publisher : Springer Science & Business Media
ISBN 13 : 3642800211
Total Pages : 409 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Group Theory and Its Applications in Physics by : Teturo Inui

Download or read book Group Theory and Its Applications in Physics written by Teturo Inui and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has been written to introduce readers to group theory and its ap plications in atomic physics, molecular physics, and solid-state physics. The first Japanese edition was published in 1976. The present English edi tion has been translated by the authors from the revised and enlarged edition of 1980. In translation, slight modifications have been made in. Chaps. 8 and 14 to update and condense the contents, together with some minor additions and improvements throughout the volume. The authors cordially thank Professor J. L. Birman and Professor M. Car dona, who encouraged them to prepare the English translation. Tokyo, January 1990 T. Inui . Y. Tanabe Y. Onodera Preface to the Japanese Edition As the title shows, this book has been prepared as a textbook to introduce readers to the applications of group theory in several fields of physics. Group theory is, in a nutshell, the mathematics of symmetry. It has three main areas of application in modern physics. The first originates from early studies of crystal morphology and constitutes a framework for classical crystal physics. The analysis of the symmetry of tensors representing macroscopic physical properties (such as elastic constants) belongs to this category. The sec ond area was enunciated by E. Wigner (1926) as a powerful means of handling quantum-mechanical problems and was first applied in this sense to the analysis of atomic spectra. Soon, H.

Introduction to Group Theory with Applications

Author : Gerald Burns
Publisher : Academic Press
ISBN 13 : 1483191494
Total Pages : 446 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Introduction to Group Theory with Applications by : Gerald Burns

Download or read book Introduction to Group Theory with Applications written by Gerald Burns and published by Academic Press. This book was released on 2014-05-10 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Continuum Mechanics and Thermodynamics of Matter

Author : S. Paolucci
Publisher : Cambridge University Press
ISBN 13 : 131655869X
Total Pages : 868 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Continuum Mechanics and Thermodynamics of Matter by : S. Paolucci

Download or read book Continuum Mechanics and Thermodynamics of Matter written by S. Paolucci and published by Cambridge University Press. This book was released on 2016-01-25 with total page 868 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at advanced undergraduate and graduate students, this book provides a clear unified view of continuum mechanics that will be a welcome addition to the literature. Samuel Paolucci provides a well-grounded mathematical structure and also gives the reader a glimpse of how this material can be extended in a variety of directions, furnishing young researchers with the necessary tools to venture into brand new territory. Particular emphasis is given to the roles that thermodynamics and symmetries play in the development of constitutive equations for different materials. Continuum Mechanics and Thermodynamics of Matter is ideal for a one-semester course in continuum mechanics, with 250 end-of-chapter exercises designed to test and develop the reader's understanding of the concepts covered. Six appendices enhance the material further, including a comprehensive discussion of the kinematics, dynamics and balance laws applicable in Riemann spaces.