Lecture Notes in Physics

Symmetry, Group Theory, and the Physical Properties of Crystals

Authors: Powell, Richard C

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  • Serves as a textbook or reference book for solid-state physics, solid-state chemistry, and materials science and engineering
  • Shows how the physical properties of solids are determined by their symmetry
  • Demonstrates the applications of group theory
  • Utilizes the concept of matter tensors
  • Includes an extensive set of reference tables, and problems at the end of each chapter
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eBook $54.99
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  • ISBN 978-1-4419-7598-0
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  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA in USD
  • ISBN 978-1-4419-7597-3
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  • Usually dispatched within 3 to 5 business days.
About this book

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 utilize these techniques in many different applications without becoming lost in a heavy formal treatment of the subject matter. The book begins by discussing the concepts of symmetry relevant to crystal structures. This is followed by a summary of the basics of group theory and how it applies to quantum mechanics. Next is a discussion of the description of the macroscopic properties of crystals by tensors and how symmetry determines the form of these tensors. The basic concepts covered in these early chapters are then applied to a series of different examples including crystal field theory treatment of point defects in solids, molecular orbitals, two-photon processes, the optical properties of solids, the nonlinear optical properties of solids, lattice vibrations, the Jahn-Teller effect, and the effects of translational symmetry on electronic energy bands in solids.. Emphasis is placed on showing how group theory and tensor algebra can provide important information about the properties of a system without resorting to first principal quantum mechanical calculations. The book also features a comprehensive set of relevant tables, including crystal symmetries, point group character tables, matter tensors of different rank, and other tensor properties. Key Features: •Serves as a textbook or reference book for solid-state physics, solid-state chemistry, and materials science and engineering •Shows how the physical properties of solids are determined by their symmetry •Demonstrates the applications of group theory •Utilizes the concept of matter tensors •Includes an extensive set of reference tables and end of chapter problems

About the authors

I. Symmetry in Solids II. Group Theory III. Tensor Properties of Crystals IV. Symmetry Properties of Point Defects in Solids V. Symmetry and the Optical Properties of Solids VI. Nonlinear Optics VII. Symmetry and Lattice Vibrations VIII. Symmetry and Electron Energy Levels

Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook $54.99
price for USA in USD (gross)
  • ISBN 978-1-4419-7598-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA in USD
  • ISBN 978-1-4419-7597-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Symmetry, Group Theory, and the Physical Properties of Crystals
Authors
Series Title
Lecture Notes in Physics
Series Volume
824
Copyright
2010
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media LLC
eBook ISBN
978-1-4419-7598-0
DOI
10.1007/978-1-4419-7598-0
Softcover ISBN
978-1-4419-7597-3
Series ISSN
0075-8450
Edition Number
1
Number of Pages
VIII, 230
Number of Illustrations
69 b/w illustrations
Topics