Symmetry, Group Theory, and the Physical Properties of Crystals
This book demonstrates the importance of symmetry in determining the properties of solids and the power of using group theory and tensor algebra to elucidate these properties. It provides the fundamentals necessary for the reader to understand how to util
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Lecture Notes in Physics The series Lecture Notes in Physics (LNP), founded in 1969, reports new developments in physics research and teaching – quickly and informally, but with a high quality and the explicit aim to summarize and communicate current knowledge in an accessible way. Books published in this series are conceived as bridging material between advanced graduate textbooks and the forefront of research and to serve three purposes: l
to be a compact and modern up-to-date source of reference on a well-defined topic
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to serve as an accessible introduction to the field to postgraduate students and nonspecialist researchers from related areas
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to be a source of advanced teaching material for specialized seminars, courses and schools
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Richard C. Powell
Symmetry, Group Theory, and the Physical Properties of Crystals
Richard C. Powell Professor Emeritus University of Arizona Tucson, AZ USA [email protected]
ISSN 0075-8450 e-ISSN 1616-6361 ISBN 978-1-4419-7597-3 e-ISBN 978-1-4419-7598-0 DOI 10.1007/978-1-4419-7598-0 Springer New York Dordrecht Heidelberg London # Springer Science+Business Media, LLC 2010 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed on acid-free paper Springer is part of Springer ScienceþBusiness Media (www.springer.com)
Preface
Why do we look at some things and think they are beautiful while other things do not appear esthetically pleasing to us? This is a question that has always interested mankind. One answer is given by the following quotation from an early president of the College of New Jersey (now Princeton University): “
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