Symmetry and Physical Properties of Crystals
Symmetry and Physical Properties of Crystals

Author: Cécile Malgrange

Publisher: Springer

Published: 2014-12-04

Total Pages: 536

ISBN-13: 9401789932

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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.

Symmetry, Group Theory, and the Physical Properties of Crystals
Symmetry, Group Theory, and the Physical Properties of Crystals

Author: Richard C Powell

Publisher: Springer

Published: 2010-12-01

Total Pages: 238

ISBN-13: 1441975985

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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.

Physical Properties of Crystals
Physical Properties of Crystals

Author: J. F. Nye

Publisher: Oxford University Press

Published: 1985

Total Pages: 356

ISBN-13: 9780198511656

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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.

Properties of Materials
Properties of Materials

Author: Robert E. Newnham

Publisher: Oxford University Press

Published: 2005

Total Pages: 391

ISBN-13: 0198520751

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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 richly illustrated text 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 today. Tensors, matrices, symmetry and structure-property relationships form the main subjects of the book. While 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 behavior. With crystal optics (its roots in classical mineralogy) having become an important component of the information age, nonlinear optics is described along with the piexo-optics, magneto-optics, and analogous linear and nonlinear acoustic wave phenomena. Enantiomorphism, optical activity, and chemical anisotropy are discussed in the final chapters of the book.

Physical Properties of Crystals
Physical Properties of Crystals

Author: Siegfried Haussühl

Publisher: John Wiley & Sons

Published: 2008-07-11

Total Pages: 453

ISBN-13: 3527621164

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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.

Crystals and Crystal Structures
Crystals and Crystal Structures

Author: Richard J. D. Tilley

Publisher: John Wiley & Sons

Published: 2006-08-14

Total Pages: 272

ISBN-13: 9780470029534

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Crystals and Crystal Structures is an introductorytext for students and others who need to understand the subjectwithout necessarily becoming crystallographers. Using the book willenable students to read scientific papers and articles describing acrystal structure or use crystallographic databases with confidenceand understanding. Reflecting the interdisciplinary nature of the subject the bookincludes a variety of applications as diverse as the relationshipbetween physical properties and symmetry, and molecular and proteincrystallography. As well as covering the basics the book containsan introduction to areas of crystallography, such as modulatedstructures and quasicrystals, and protein crystallography, whichare the subject of important and activeresearch. A non-mathematical introduction to the key elements of thesubject Contains numerous applications across a variety ofdisciplines Includes a range of problems and exercises Clear, direct writing style "…the book contains a wealth of information and itfulfils its purpose of providing an interesting and broadintroduction to the terpenes." CHEMISTRY WORLD, February2007