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

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more compactly, as Pi We now leave out the summation sign: Pi = Tijqi (i,j= 1,2,3)

, (9) and introduce the Einstein summation convention: when a letter suffix occurs

...

**Equations**(5) may be written i-i 3 P2 = 2Tv9i 3 m -lTij9f (»= 1,2,8). i— l (8) or,more compactly, as Pi We now leave out the summation sign: Pi = Tijqi (i,j= 1,2,3)

, (9) and introduce the Einstein summation convention: when a letter suffix occurs

...

Page 76

In suffix notation the first of

are assumed independent of position. Substitution for Ej from (16) then gives o2 t

K^r-p (17) as the

In suffix notation the first of

**equations**(15) is or, using (6), "O&T = P' since the Kijare assumed independent of position. Substitution for Ej from (16) then gives o2 t

K^r-p (17) as the

**equation**to be satisfied by the potential <f,. Referred to the ...Page 174

piezocaloric effect lieat capacity (9) (10) \dakljT In these

convention (Ch. I, § 1.1) applies. Thus the first term on the right of

stands for the sum of nine terms: ...

piezocaloric effect lieat capacity (9) (10) \dakljT In these

**equations**the summationconvention (Ch. I, § 1.1) applies. Thus the first term on the right of

**equation**(9)stands for the sum of nine terms: ...

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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