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

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A scalar such as density is written without subscripts (for

components of a vector have one subscript (for

components of a second-rank tensor have two subscripts (for

number ...

A scalar such as density is written without subscripts (for

**example**, density p); thecomponents of a vector have one subscript (for

**example**, E3); and thecomponents of a second-rank tensor have two subscripts (for

**example**, a12). Thenumber ...

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For

free suffixes here and k, I are dummy suffixes. Note that the order of the members

of a product does not matter in this notation; for

For

**example**, we might have an equation of this sort: Aij+BikCkl^ = EikFkj; 1, j arefree suffixes here and k, I are dummy suffixes. Note that the order of the members

of a product does not matter in this notation; for

**example**, the second term on ...Page 142

For a numerical

class 12m). This was the crystal for which piezoelectric data were given on p. 120

. The components of the (s^) and (c,7) matrices in m.k.s. unitsf for ADP at 0° C are

...

For a numerical

**example**we choose ammonium dihydrogen phosphate (ADP) (class 12m). This was the crystal for which piezoelectric data were given on p. 120

. The components of the (s^) and (c,7) matrices in m.k.s. unitsf for ADP at 0° C are

...

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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