## 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 ,, , ,aa\ 1 btixiXi = 1. (26) where the Sti are coefficients; we

do not ...

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 ,, , ,aa\ 1 btixiXi = 1. (26) where the Sti are coefficients; we

do not ...

Page 290

Chapter, equation and page number Property or coefficients Defining equation [

note (1)] General relation* between componcnts (iv)

a scalar and a

Chapter, equation and page number Property or coefficients Defining equation [

note (1)] General relation* between componcnts (iv)

**Second**-**rank tensor**relatinga scalar and a

**second**-**rank tensor**VI, (13), 106 X. (19). 176 X, (24). 177 X, (24).### What people are saying - Write a review

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### Contents

THE GROUNDWORK OF CRYSTAL PHYSICS | 3 |

EQUILIBRIUM PROPERTIES | 51 |

ELECTRIC POLARIZATION | 68 |

15 other sections not shown

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### Common terms and phrases

angle anisotropic applied axial vector centre of symmetry Chapter coefficients conductivity constant crystal classes crystal properties crystal symmetry cube cubic crystals defined denoted diad axis dielectric direction cosines displacement dummy suffix electric field ellipsoid equal equation example expression follows force given heat flow Hence hexagonal homogeneous indicatrix isothermal isotropic left-handed length longitudinal magnetic magnitude matrix notation measured moduli monoclinic number of independent Onsager's Principle optical activity orientation parallel Peltier permittivity perpendicular photoelastic effect piezoelectric effect plane plate polarization positive principal axes produced pyroelectric pyroelectric effect quantities radius vector referred refractive refractive index relation representation quadric represented right-handed rotation scalar second-rank tensor set of axes shear stress suffix notation surface susceptibility symmetry elements Table temperature gradient tensile stress thermal expansion thermodynamics thermoelectric effects Thomson heat tion transformation law trigonal uniaxial unit volume values written Young's Modulus zero