## Physical Properties of Crystals: Their Representation by Tensors and Matrices |

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Page 7

Table 1 Some examples of second-rank tensors relating two vectors 1.1. The

dummy

may be written i-i 3 P2 = 2Tv9i 3 m -lTij9f (»= 1,2,8). i— l (8) or, more compactly, ...

Table 1 Some examples of second-rank tensors relating two vectors 1.1. The

dummy

**suffix notation**. It is convenient now to shorten our notation. Equations (5)may be written i-i 3 P2 = 2Tv9i 3 m -lTij9f (»= 1,2,8). i— l (8) or, more compactly, ...

Page 134

It is worth noting, as a reminder of the economy of the dummy

equation (11) typifies 34 equations each with 3* terms on the right-hand side,

making a total of 38 = 6,561 terms in all. The above proof is a general one.

It is worth noting, as a reminder of the economy of the dummy

**suffix notation**, thatequation (11) typifies 34 equations each with 3* terms on the right-hand side,

making a total of 38 = 6,561 terms in all. The above proof is a general one.

Page 150

The matrix and tensor

and VIII in the piezoelectric equations pi = d.iaj, ... nature of the property, that is,

its tensor rank andhowit transforms, is indicated precisely by the number of

The matrix and tensor

**notations**The matrix**notation**introduced in Chapters VIIand VIII in the piezoelectric equations pi = d.iaj, ... nature of the property, that is,

its tensor rank andhowit transforms, is indicated precisely by the number of

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### Contents

THE GROUNDWORK OF CRYSTAL PHYSICS | 3 |

EQUILIBRIUM PROPERTIES | 51 |

ELECTRIC POLARIZATION | 68 |

69 other sections not shown

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### Common terms and phrases

angle anisotropic applied biaxial birefringence centre of symmetry Chapter coefficients conductivity crystal classes crystal properties crystal symmetry cube cubic crystals defined denoted diad axis dijk direction cosines electric field electro-optical effect ellipsoid equal equation example expression follows force given gives heat flow Hence hexagonal indicatrix isothermal isotropic lattice left-handed magnetic magnitude matrix notation measured moduli monoclinic number of independent Onsager's Principle optic axis optical activity orientation permittivity perpendicular photoelastic effect piezoelectric effect plane plate point group positive principal axes produced pyroelectric effect quadric quantities radius vector referred refractive index relation representation quadric represents right-handed rotation scalar second-rank tensor set of axes shear shown shows strain stress suffix notation symbol symmetry elements Table temperature gradient thermal expansion thermodynamics thermoelectric effects Thomson heat tion transformation law trigonal uniaxial unit volume values wave normal wave surface written zero