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

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Page 12

to p[ and q'i when the axes are changed, so we may say that the nine coefficients

Tii transform to the nine coefficients T^. We have proved that the relation between

them, the

to p[ and q'i when the axes are changed, so we may say that the nine coefficients

Tii transform to the nine coefficients T^. We have proved that the relation between

them, the

**transformation law**for second-rank tensors, is (22). This is a most ...Page 13

TABLE 2

2.5.

...

TABLE 2

**Transformation laws**for tensors Name Rank of tensor**Transformation****law**New in terms of old Old in terms of new Scalar Vector aiiPi (22) Pi = °}iPi (15)2.5.

**Transformation law**for products of coordinates. We found (pp. 10, 11) that the...

Page 30

f>; First-rank tensor (vector): p\ = a^pi; Second-rank tensor: Ty = ",;.-'',-/ '/',/; and so

on for higher ranks. The

**Transformation laws**for tensors (Table 2, p. 13). Zero-rank tensor (scalar): </>' = <f>; First-rank tensor (vector): p\ = a^pi; Second-rank tensor: Ty = ",;.-'',-/ '/',/; and so

on for higher ranks. The

**transformation law**for a vector is the same as that for ...### 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