Thermal conduction and expansion in a solid including the phonon contribution to the mean free path.The breakdown of the classical Dulong-Petit Law for the specific heat capacity of a solid and introduction to the ideas of the Debye and Einstein models including the Debye temperature.Their use in determining total and mean energies of a system. The concept of density of states and occupation.Lattice vibrations: the mathematical description of a vibrational wave for planes of atoms containing 1 or 2 atoms per unit cell and the derivation of the dispersion relation between and k, optical and longitudinal modes of vibration.Use of the structure factor to determine crystal structure in a diffraction experiment.The structure factor and its relation to the reciprocal lattice.Derivation and use of Bragg’s Law and the Ewald sphere.Derivation of von Laue's approach for X-ray diffraction by crystals.Extended, repeated and reduced zone schemes. The reciprocal lattice and Brillouin Zones, including the Wigner-Seitz construction.Stacking and planar defects (stacking faults and twins) Point Defects (vacancies, interstitials and impurities).
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