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henrywang

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**Syllabus Plan**

**Introduction**

Brief historical survey.**Crystal Structures**- Direct and reciprocal lattices (Revision)
- General features of scattering by solids (Revision)
- Scattered-wave amplitude, structure factor, form factor
- Brillouin zones

**Free-electron model**- Free-electron Fermi gas
- Energy dispersion in
*k*-space - Reduced and extended zones
- Effective mass
- Density of states
- Electron-distribution function; Fermi level
- Heat capacity

**Nearly-Free-Electron Model**- Effect of crystal potential on the free-electron picture
- Bloch electron
- Origin of energy-band gaps
- Holes

**Band Picture for Classification of Solids**- Formation of energy bands in solids
- Band picture for insulators, semiconductors and metals

**Fermi surfaces**- Fermi surfaces in metals
- Harrison's construction of the Fermi sphere

**Intrinsic and Extrinsic Semiconductors**- Donor and acceptor levels in semiconductors; ionization energy of a donor electron, and the Bohr radius
- Free-charge-carrier concentration and the Fermi level at different temperatures
- The significance of the Fermi level; band structure of a p-n junction
- Elementary Optical Properties of Semiconductors: Fundamental absorption; direct and indirect transitions; absorption coefficient; recombination

**Phonons**- Lattice vibrations of the monatomic linear chain
- Diatomic linear chain.
- Lattice vibrations of three-dimensional crystals
- Longitudinal and transverse phonons;
- Plotting of dispersion relations

- Heat Capacity

**Transport Properties (Electrical and Thermal)**- Relaxation times: phonon/lattice; electronic
- Drift and diffusion in semiconductors; the Einstein relation
- Thermal conduction in semiconductors and insulators
- Drift and thermal conduction in metals
- The Wiedemann-Franz law

**Introduction to Nanostructures and Nanomaterials**- Quantum Wells, Wires and Dots
- Carbon nanotubes
- Graphene