Physical Properties of Crystals: Their Representation by Tensors and MatricesFirst 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. |
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Contents
THE GROUNDWORK OF CRYSTAL PHYSICS | 3 |
EQUILIBRIUM PROPERTIES | 51 |
ELECTRIC POLARIZATION | 68 |
THE STRESS TENSOR | 82 |
THE STRAIN TENSOR AND THERMAL EXPANSION | 93 |
PIEZOELECTRICITY THIRDRANK TENSORS | 110 |
ELASTICITY FOURTHRANK TENSORS | 131 |
THE MATRIX METHOD | 150 |
THERMOELECTRICITY | 215 |
NATURAL AND ARTIFICIAL DOUBLE REFRACTION | 235 |
A Summary of vector notation and formulae | 275 |
Summary of crystal properties | 289 |
E Matrices for equilibrium properties in the 32 crystal classes | 295 |
F Magnetic and electrical energy | 302 |
| 310 | |
SOLUTIONS TO THE EXERCISES WITH NOTES | 320 |
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Common terms and phrases
angle applied axis becomes body called centre Chapter classes coefficients components conductivity consider constant convention corresponding couple crystal cubic defined definition denoted depends diad dielectric direction effect elastic electric ellipsoid equal equation example expression faces field follows force given gives grad hand heat heat flow Hence hexagonal illustrated independent isotropic length magnetic magnitude matrix means measured method moduli normal notation obtained optical orientation parallel perpendicular physical piezoelectric plane plate polarization positive principal axes produced properties proportional pyroelectric quadric quantities radius referred relation represented respect result reversible right-handed rotation second-rank tensor seen shear shown shows similar simple strain stress suffixes surface symmetry symmetry elements Table temperature thermal expansion thermoelectric tion transformation unit values vector volume wave write written zero
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Bibliographic information
| Title | Physical Properties of Crystals: Their Representation by Tensors and Matrices Oxford science publications |
| Authors | J. F. Nye, Professor Physics Laboratory J F Nye |
| Edition | illustrated, reprint |
| Publisher | Clarendon Press, 1985 |
| ISBN | 0198511655, 9780198511656 |
| Length | 329 pages |
| Subjects | › › Mathematics / Applied Science / Chemistry / Physical & Theoretical Science / Physics / Crystallography |
| Export Citation | BiBTeX EndNote RefMan |