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

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Page 53

THE magnetic

anisotropic crystal property represented by a second-rank tensor. In this chapter

we first formulate the property, and then show how the formulation leads to ...

THE magnetic

**susceptibility**of paramagnetic and diamagnetic crystals is a typicalanisotropic crystal property represented by a second-rank tensor. In this chapter

we first formulate the property, and then show how the formulation leads to ...

Page 54

called the magnetic

dimensions, and ifi is therefore a dimensionless ratio. This is the reason for

introducing /AO into equation (2).f Since I refers to unit volume, i/i in equation (2),

...

called the magnetic

**susceptibility**. From equations (1), I and /i0H have the samedimensions, and ifi is therefore a dimensionless ratio. This is the reason for

introducing /AO into equation (2).f Since I refers to unit volume, i/i in equation (2),

...

Page 66

The

anisotropic crystal grains is placed in a field, each grain will, in general, acquire a

moment which is not in the direction of H. It is evident, however, on grounds of ...

The

**susceptibility**of a powder If a powder consisting of randomly orientedanisotropic crystal grains is placed in a field, each grain will, in general, acquire a

moment which is not in the direction of H. It is evident, however, on grounds of ...

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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