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Physical Properties of Crystals: Their Representation by Tensors and Matrices, by J. F. Nye
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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.
- Sales Rank: #871044 in Books
- Published on: 1985-07-11
- Original language: English
- Number of items: 1
- Dimensions: 6.13" h x .78" w x 9.25" l, 1.27 pounds
- Binding: Paperback
- 352 pages
Review
'We all have to be grateful to Dr Nye for giving us such a clearly conceived and well written text.' Journal of Mechanics and Physics of Solids 'Dr Nye is to be warmly congratulated on an excellent book, which it is a pleasure to handle and read.' Mathematical Gazette
About the Author
J. F. Nye is at University of Bristol.
Most helpful customer reviews
1 of 1 people found the following review helpful.
Simply amazing
By Lance C. Hibbeler
This is an amazing text. Nye methodically and somewhat rigorously presents the arguments behind why certain property tensors take on specific characters for different crystalline materials. Nye is uncannily lucid in his explanations- don't worry if you have trouble with tensors. Nye has an amazing introduction in this book (I think because he ties things to geometric interpretations rather than algebraic). Similarly, if you aren't familiar with the physics related to the property, or it has been a while, Nye briefly reviews what is relevant and where in the governing equations the properties fit. I would recommend as a prerequisite an Introduction to Crystallography, especially if you are a little rusty on your crystal systems. Nye does give a brief summary, but I found it a little lacking.
As far as the main subject of the book, for example, thermal conductivity is actually a second-rank tensor, but for the materials most often encountered (by engineers, anyway), it reduces to a scalar times the identity tensor. This, as well as other properties, reflect the underlying symmetry of the crystalline lattice, and Nye takes us through why certain components of the tensor are zero. This generalizes for higher-rank tensors such as elastic stiffness/compliance, or piezo-x effects, and all are discussed. It is more than just the symmetry of the lattice, however; there are thermodynamic arguments to be made as well, and Nye hits the high points of these as well. He also gives values for the different constants at room temperature for different materials, and in some cases discusses issue with the measurement of the constants (but really, there are better books for this, like Elastic Constants and Their Measurements).
If you are a materials scientist or an engineer/mechanician doing work with solids, this book definitely belongs dog-eared on your bookshelf. I can't recommend this enough.
0 of 0 people found the following review helpful.
better know the space groups
By street_hawk
This book is good for people who has some idea about space groups and point groups in crystallography. Knowledge of those is not necessary but makes it much easier for people who does have that knowledge. Being from mechanical background I have not studied symmetry groups yet. Also, determining properties of second rank tensors by comparing them to quadrics was a little confusing for me since my math background is not that strong. It's an excellent book otherwise for understanding how crystal properties depend on the inherent symmetries present in a crystal and how by reducing the number of independent constants the math can be simplified to a great extent. The book was recommended to me to study wave propagation in anisotropic media. Hearmon's book An Introduction to Applied Anisotropic Elasticity. was more suited towards that once you know the number of independent elastic constants for a particular crystal lattice. If you are interested in knowing how to determine the independent constants, Love's book A Treatise on the Mathematical Theory of Elasticity (Dover Books on Engineering) has a good account of that.
0 of 0 people found the following review helpful.
Has a great explanation of Einstein summation notation in it
By Tara
Has a great explanation of Einstein summation notation in it. Its also a super easy and informative read. Assuming you have knowledge of E&M and similar topics.
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