Tensor Properties of Solids, Part One

Tensor Properties of Solids, Part One
Equilibrium Tensor Properties of Solids

Richard F. Tinder
ISBN: 9781598293487 | PDF ISBN: 9781598293494
Copyright © 2007 | 144 Pages | Publication Date: 01/01/2007

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Tensor Properties of Solids presents the phenomenological development of solid state properties represented as matter tensors in two parts: Part I on equilibrium tensor properties and Part II on transport tensor properties.

Part I begins with an introduction to tensor notation, transformations, algebra, and calculus together with the matrix representations. Crystallography, as it relates to tensor properties of crystals, completes the background treatment. A generalized treatment of solid-state equilibrium thermodynamics leads to the systematic correlation of equilibrium tensor properties. This is followed by developments covering first-, second-, third-, and higher-order tensor effects. Included are the generalized compliance and rigidity matrices for first-order tensor properties, Maxwell relations, effect of measurement conditions, and the dependent coupled effects and use of interaction diagrams. Part I concludes with the second- and higher-order effects, including numerous optical tensor properties.

Part II presents the driving forces and fluxes for the well-known proper conductivities. An introduction to irreversible thermodynamics includes the concepts of microscopic reversibility, Onsager's reciprocity principle, entropy density production, and the proper choice of the transport parameters. This is followed by the force-flux equations for electronic charge and heat flow and the relationships between the proper conductivities and phenomenological coefficients. The thermoelectric effects in solids are discussed and extended to the piezothermoelectric and piezoresistance tensor effects. The subjects of thermomagnetic, galvanomagnetic, and thermogalvanomagnetic effects are developed together with other higher-order magnetotransport property tensors.

A glossary of terms, expressions, and symbols are provided at the end of the text, and end-of-chapter problems are provided on request. Endnotes provide the necessary references for further reading.

Table of Contents

I. Equilibrium Tensor Properties of Solids
Introduction
Introduction to Tensor Notation, Tensor Transformations, Tensor Calculus, and Matrix Representation
Crystal Systems, Symmetry Elements, and Symmetry Transformations
Generalized Thermostatics and the Systematic Correlation of Physical Properties
The Dependent Coupled Effects and the Interrelationships Between First-Order Tensor Properties - Use of Interaction Diagrams
Third- and Fourth-Rank Tensor Properties - Symmetry Considerations
Second- and Higher-Order Effects - Symmetry Considerations
II. Transport Properties of Solids
Introduction to Transport Properties and the Thermodynamics of Irreversible Processes
Thermoelectric, Piezothermoelectric, and Diffusive Effects in Solids
Effect of Magnetic Field on the Transport Properties
Appendix A: Magnetic Tensor Properties, Magnetic Crystals, and the Combined Space-Time Transformations
Endnotes
Glossary
Biography
Index

About the Author(s)

Richard F. Tinder, Professor Emeritus of Electrical Engineering and Computer Science, Washington State University
Professor Tinder's teaching interests have been highly variable over his tenure at Washington State University (WSU). They have included crystallography, thermodynamics of solids (both equilibrium and irreversible thermodyamics), tensor properties of crystals, advanced dislocation theory, solid state direct energy conversion (mainly solar cell theory, thermoelectric effects, and fuel cells), general materials science, advanced reaction kinetics in solids, electromagnetics, and analog and digital circuit theory. In recent years he has taught logic design at the entry, intermediate and advanced levels and has published a major text in the area. He has conducted research and published in the areas of tensor properties of solids, surface physics, shock dynamics of solids, milli-micro plastic flow in metallic single crystals, high speed asynchronous (clock independent) state machine design, and Boolean algebra (specifically XOR algebra and graphics). Professor Tinder holds a B.S., M.S. and Ph.D. all from the University of California, Berkeley. It was there, as a graduate student, he gave his first graduate seminar on relativistic rocket mechanics and space travel to a variety of students and professors in engineering and the physical sciences. He has since lectured on the subject to a discussion group of professors at WSU. Over the years he has cultivated an increasingly active interest in this area while gathering more information from a variety of sources. It is this information together with his own work that Professor Tinder presents in the contents of this text. He has spent one year as a visiting faculty member at the University of California, Davis, in what was then the Department of Mechanical Engineering and Materials Science. Currently, he is Professor Emeritus of the School of Electrical Engineering and Computer Science at WSU where he has been a major contributor to the Computer Engineering program there over a period of two decades.

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