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

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Page 6

We may now compare the three sorts of quantity that have been introduced so far

: (i) A

any axes of reference. (

...

We may now compare the three sorts of quantity that have been introduced so far

: (i) A

**tensor**of zero**rank**(a scalar) is specified by a single number unrelated toany axes of reference. (

**ii**) A**tensor**of the first**rank**(a vector) is specified by three...

Page 16

It is natural, then, to look for some geometrical interpretation of a tensor, and, in

this section, we give a geometrical representation of a

Consider the equation c _ , "Hxixj — l, \M) where the Sij are coefficients; we do

not at ...

It is natural, then, to look for some geometrical interpretation of a tensor, and, in

this section, we give a geometrical representation of a

**second**-**rank tensor**.Consider the equation c _ , "Hxixj — l, \M) where the Sij are coefficients; we do

not at ...

Page 290

Their Representation by Tensors and Matrices J. F Nye. (v) Third-rank tensor

relating a vector and a

X, (47), 183 XIII, (14), 244 direct piezoelectric 4 effect converse piezoelectric 4

effect ...

Their Representation by Tensors and Matrices J. F Nye. (v) Third-rank tensor

relating a vector and a

**second**-**rank tensor**VII, (3), 111 VII, (19), 115 X, (47), 183X, (47), 183 XIII, (14), 244 direct piezoelectric 4 effect converse piezoelectric 4

effect ...

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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