Physical Properties of Crystals

Physical Properties of Crystals

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.

Author: J. F. Nye

Publisher: Oxford University Press

ISBN: 0198511655

Category: Mathematics

Page: 356

View: 754

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.
Categories: Mathematics

Physical Properties of Crystals

Physical Properties of Crystals

Such considerations come to the fore in ” ”chemical engineering”,” i.e., the constructive search for crystals with novel or improved properties. Therein exists one of the most important challenges of modern materials research.

Author: Siegfried Haussühl

Publisher: John Wiley & Sons

ISBN: 9783527621163

Category: Science

Page: 453

View: 605

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.
Categories: Science

Symmetry Group Theory and the Physical Properties of Crystals

Symmetry  Group Theory  and the Physical Properties of Crystals

Due to the spatial symmetry of crystals discussed in Chap. 1, many important physical properties of a crystalline material depend on the orientation of the sample with respect to some specifically defined coordinate directions.

Author: Richard C Powell

Publisher: Springer

ISBN: 9781441975980

Category: Science

Page: 230

View: 754

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.
Categories: Science

Symmetry and Physical Properties of Crystals

Symmetry and Physical Properties of Crystals

This chapter shows why the anisotropy of crystals requires a representation of their physical properties by tensors, and defines them. It then shows how the symmetry of a given crystal (its point group) influences the form of these ...

Author: Cécile Malgrange

Publisher: Springer

ISBN: 9789401789936

Category: Science

Page: 522

View: 807

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.
Categories: Science

Crystal Dislocations Their Impact on Physical Properties of Crystals

Crystal Dislocations  Their Impact on Physical Properties of Crystals

13. 14. Szot, K.; Rodenbücher, C.; Bihlmayer, G.; Speier, W.; Ishikawa, R.; Shibata, N.; Ikuhara, Y. Influence of Dislocations in Transition Metal Oxides on Selected Physical and Chemical Properties. Crystals 2018, 8, 241. [CrossRef] 2.

Author: Peter Lagerlof

Publisher: MDPI

ISBN: 9783038974659

Category:

Page: 317

View: 726

This book is a printed edition of the Special Issue "Crystal Dislocations: Their Impact on Physical Properties of Crystals" that was published in Crystals
Categories:

The Physical Properties of Crystals and Gemstones A Collection of Historical Articles on Structure Hardness Cleavage and Other Properties

The Physical Properties of Crystals and Gemstones   A Collection of Historical Articles on Structure  Hardness  Cleavage and Other Properties

This book contains classic material dating back to the 1900s and before.

Author: Various

Publisher: Stewart Press

ISBN: 1447420411

Category: Science

Page: 150

View: 613

This book contains classic material dating back to the 1900s and before. The content has been carefully selected for its interest and relevance to a modern audience. Carefully selecting the best articles from our collection we have compiled a series of historical and informative publications on the subjects of gemology and crystallography. The titles in this range include "Gemstone Manufacturing" "Geometrical Characters of Crystals" "The Thirty-Two Classes of Crystal Symmetry" and many more. Each publication has been professionally curated and includes all details on the original source material. This particular instalment, "The Physical Properties of Crystals and Gemstones" contains information on structure, hardness, cleavage and much more. Intended to illustrate the main physical properties it is a guide for anyone wishing to obtain a general knowledge of the subject and to understand the field in its historical context. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.
Categories: Science

Symmetry and Physical Properties of Crystals

Symmetry and Physical Properties of Crystals

This book provides a clear, thorough presentation of their symmetry, both at the microscopic space-group level and the macroscopic point-group level.

Author: Cécile Malgrange

Publisher: Springer

ISBN: 9402401776

Category: Science

Page: 522

View: 256

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.
Categories: Science

Photoelastic and Electro Optic Properties of Crystals

Photoelastic and Electro Optic Properties of Crystals

Neumann's Principle and Effect of Crystal Symmetry on Physical Properties Every physical property of a crystal capable of being represented as a tensor property of appropriate rank is governed by Neumann's principle; this principle ...

Author: T. S. Narasimhamurty

Publisher: Springer Science & Business Media

ISBN: 9781475700251

Category: Science

Page: 544

View: 313

This comprehensive treatise reviews, for the first time, all the essential work over the past 160 years on the photoelastic and the closely related linear and quadratic electro-optic effects in isotropic and crystalline mate rials. Emphasis is placed on the phenomenal growth of the subject during the past decade and a half with the advent of the laser, with the use of high-frequency acousto-optic and electro-optic techniques, and with the discovery of new piezoelectric materials, all of which have offered a feedback to the wide interest in these two areas of solid-state physics. The first of these subjects, the photoelastic effect, was discovered by Sir David Brewster in 1815. He first found the effect in gels and subsequently found it in glasses and crystals. While the effect remained of academic interest for nearly a hundred years, it became of practical value when Coker and Filon applied it to measuring stresses in machine parts. With one photograph and subsequent analysis, the stress in any planar model can be determined. By taking sections of a three-dimensional model, complete three-dimensional stresses can be found. Hence this effect is widely applied in industry.
Categories: Science

Physical Properties of Liquid Crystals

Physical Properties of Liquid Crystals

[6] I. C. Khoo, Liquid Crystals: Physical Properties and Nonlinear Optical Phenomena, Wiley, New York 1995. [7] P. Palffy-Muhoray in Liquid Crystals: Applications and Uses (Ed. B. Bahadur), World Scientific, Singapore 1990.

Author: George W. Gray

Publisher: John Wiley & Sons

ISBN: 9783527613953

Category: Technology & Engineering

Page: 522

View: 452

This handbook is a unique compendium of knowledge on all aspects of the physics of liquid crystals. In over 500 pages it provides detailed information on the physical properties of liquid crystals as well as the recent theories and results on phase transitions, defects and textures of different types of liquid crystals. An in-depth understanding of the physical fundamentals is a prerequisite for everyone working in the field of liquid crystal research. With this book the experts as well as graduate students entering the field get all the information they need.
Categories: Technology & Engineering