Tensor Properties of Crystals – D Lovett – Bok (9780750306256) | Bokus bokhandel

'An excellent introduction to the use of tensors in solid state physics...extremely good value for money.' Australian & New Zealand Physicist 'Simple and clear presentation...suitable for teaching crystal physics as a subsidiary subject' Crystal Research and Technology 'The book provides a concise introduction to the tensor properties of crystals at a level suitable for advanced undergraduate students.' Zentralblatt vol. 988 ellent introduction to the use of tensors in solid state physics...extremely good value for money.' Australian & New Zealand Physicist 'Simple and clear presentation...suitable for teaching crystal physics as a subsidiary subject' Crystal Research and Technology 'The book provides a concise introduction to the tensor properties of crystals at a level suitable for advanced undergraduate students.' Zentralblatt vol. 988 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. Worked examples on symmetry problems. Problems. INTRODUCING TENSORS Introduction to the notation. Reducing the number of components. Transformation of axes. Transformation of a vector. Transformation of the coordinates of a point. Transformation and definition of a tensor. Second-rank symmetrical tensors-the representation quadric. Neumann's principle. Some examples of tensors. Worked examples showing change of axes for a tensor. Problem. 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. Some worked examples of second-rank tensor properties. Problems. FOURTH-RANK TENSORS-ELASTICITY Introduction. Strain. Symmetrical and antisymmetrical tensors. The strain tensor. Stress. Elasticity. The matrix notation. Effect of crystal symmetry-equating components by inspection. Elasticity components in cubic crystals and polycrystalline samples. Elasticity components in other crystal systems. Worked examples on stress, strain and elasticity. Problems. CRYSTAL OPTICS Introduction. The indicatrix. The wave surface. Biaxial crystals. Double refraction (birefringence) at a boundary. Worked examples on polarization and birefringence. Problems. AXIAL TENSORS 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. The Hall effect- relationship to symmetry. Magnetoresistance and other effects. Problems. FURTHER TENSOR APPLICATIONS Introduction. Thermal expansion. The pyroelectric effect. Piezoelectricity. Photoelasticity. The linear electro-optic effect (the Pockels effect). The quadratic electro-optic effect (the Kerr effect). Some concluding comments. Problems. APPENDICES REFERENCES AND FURTHER READING ANSWERS TO PROBLEMS INDEX Source.


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