## Physical Properties of Crystals |

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Page 45

If RC is produced to cut the circle in T, the abscissa of T is S41. This construction,

called the

Sía change as the axes of reference are rotated. As Oz in Fig. 2.4 a rotates from ...

If RC is produced to cut the circle in T, the abscissa of T is S41. This construction,

called the

**Mohr circle**construction, gives a visual picture of the way Sii, S., andSía change as the axes of reference are rotated. As Oz in Fig. 2.4 a rotates from ...

Page 46

Show from the

rotations about a.s. Interpret this geometrically. ExERCISE 2.3. Carry out the

relevant parts of steps [1] to [5] in Exercise 1.3 on p. 31 by means of the

Show from the

**Mohr circle**construction that Su Sis Sia Sea is invariant forrotations about a.s. Interpret this geometrically. ExERCISE 2.3. Carry out the

relevant parts of steps [1] to [5] in Exercise 1.3 on p. 31 by means of the

**Mohr****circle**...Page 47

So far as the components S41, Saa, Sía are concerned, therefore, it makes no

difference whether Oza is a principal axis or not, and the

applies equally well to both cases. ExERCISE 2.4. Transform the following

tensors ...

So far as the components S41, Saa, Sía are concerned, therefore, it makes no

difference whether Oza is a principal axis or not, and the

**Mohr circle**constructionapplies equally well to both cases. ExERCISE 2.4. Transform the following

tensors ...

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### Contents

THE GROUND WORK OF CRYSTAL PHYSICS | 3 |

Summary | 29 |

EQUILIBRIUM PROPERTIES | 45 |

47 other sections not shown

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### Common terms and phrases

angle anisotropic applied biaxial birefringence centre of symmetry Chapter conductivity constant crystal classes crystal properties crystal symmetry cube cubic crystals defined denoted diad axis dielectric direction cosines displacement elastic compliances electric field electro-optical electro-optical effect ellipsoid equal equation example expression follows forces given gives grad heat flow Hence indicatrix isothermal isotropic magnetic magnitude matrix notation measured moduli Mohr circle monoclinic number of independent Onsager's Principle optic axis optical activity orientation parallel permittivity perpendicular photoelastic effect piezoelectric effect plane plate polarization positive principal axes produced pyroelectric effect quadric radius vector referred refractive index relation representation quadric represents right-handed rotation scalar second-rank tensor shear shown shows strain stress 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