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Impurity defects are foreign atoms that replace some of the atoms making up the solid or that squeeze into the interstices; they are important in the electrical behaviour of semiconductors, which are materials used in computer chips and other electronic devices. Line defects , or dislocations, are lines along which whole rows of atoms in a solid are arranged anomalously. The resulting irregularity in spacing is most severe along a line called the line of dislocation. Line defects can weaken or strengthen solids.

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Surface defects may arise at the boundary between two grains, or small crystals, within a larger crystal. The rows of atoms in two different grains may run in slightly different directions, leading to a mismatch across the grain boundary. The actual external surface of a crystal is also a surface defect because the atoms on the surface adjust their positions to accommodate for the absence of neighbouring atoms outside the surface.

Lecture 9 (Microscopic Defects in Solids)

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    Point Defects

    Gauge Theory for Matrix Lie Groups. Kinematics of Defects. Inhomogeneous Action of the Fundamental Group. Kinetics of Defects in Elastic Dielectrics.

    Gauge Conditions, Observables, and Internal Space. Lagrangians, Material Symmetries, and Field Equations.

    Defects in a Solid

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