Tensor Properties of Crystals, Second Edition

Crystals and crystal symmetry - structure of solids close-packing structures two-dimensional lattices three-dimensional lattices crystallographic indices for planes - Miller indices crystallographic direction indices introducing tensors - introduction to the notation reducing the numbers of components transformations of axes transformation of a vector transformation of the co-ordinates of a point transformation and the definition of a tensor second-rank symmetrical tensors - the representation quadric Neumann's principle second-rank tensors - conductivity: thermal conductivity and thermal resistivity heat flow in crystal samples the radius-normal property of the representation quadric electrical conductivity and electrical resistivity diffusion fourth-rank tensors - elasticity strain symmetrical and antisymmetrical tensors the strain tensor stress elasticity the matrix notation effect of crystal symmetry - equating components in cubic crystals and polycrystalline samples elasticity components in other crystal systems crystal optics the indicatrix the wave-surface biaxial crystals double refraction (birefringence) at a boundary definition of an axial tensor transformation of axial vectors transformation of axial tensors optical activity optical activity in the presence of birefringence the gyration tensor - second-rank axial tensor the Hall effect - third rank axial tensor Hall effect - relationship to symmetry magnetresistance and other effects further tensor applications thermal expansion pyroelectric effect piezoelectricity photoelasticity the linear electro-optic effect (the Pockels effect) the quadratic electro-optic effect (the Kerr effect).