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Main
Solid State Physics

Solid State Physics

PHYS3701 4 hours

Solid State Physics

This course is intended to introduce the physics of the solid state. It begins by the definition of the Solid State and Crystal Growth, Crystalline Amorphous and Nano solids, Atomic Binding, Crystal Lattices and structures, Miller indices Elastic Constants, Crystal Defects, Fourier Analysis of Periodic Structures, Reciprocal Lattice, X-ray Diffraction, Brillouin Zones, Lattice Vibrations and Phonons, Thermal properties of Solids, Einstein and Debye Models of Heat Capacity, Phonon Density of States, Planck Distribution. Free Electron (Fermi gas) model, Electron Density of States, Electrical, thermal and optical properties of the Electron Gas.
PHYS3504 Quantum Mechanics
4 hours

One requisite

Crystal Structure
• Periodic Array of Atoms.
• Fundamental Types of Lattices.
• Index Systems for Crystal Planes
• Simple Crystal Structure
• Direct Imagining of Atomic Structure
• Nonideal Crystal Structures 10
Wave Diffraction and the Reciprocal Lattice
• Diffraction of Waves by Crystals.
• Scattered Wave Amplitude.
• Brillouin Zones
• Fourier Analysis of the Basis. 8
Crystal Binding and Elastic Constants
• Crystal of Inert Gases.
• Ionic Crystals.
• Covalent Crystals.
• Metals.
• Hydrogen Bonds.
• Atomic Radii.
• Analysis of Elastic Strains.
• Elastic Compliance and Stiffness Constants
• Elastic Waves in Cubic Crystals. 6
Phonons I. Crystal Vibrations
• Vibrations of Crystals with Monatomic Basis.
• Two Atoms per Primitive Basis
• Quantization of Elastic Waves.
• Phonon Momentum.
• Inelastic Scattering by Phonons. 7
Phonons II. Termal Properties
• Phonon Heat Capacity
• Anharamonic Crystal Interactions.
• Thermal Conductivity. 7
Free Electron Fermi Gas
• Energy Level in One Dimension
• Effect of Temperature on the Fermi Dirac Distribution.
• Free Electron Gas in Three Dimensions.
• Heat Capacity of the Electron Gas.
• Electrical Conductivity and Ohm’s Law.
• Motion in Magnetic Field
• Hall Effect
• Thermal Conductivity of Metals. 6
Band theory
• Energy spectra in atoms, molecules and solids.
• Bloch theorem.
• Brillouin zones.
• Number of states in the band.
• Nearly free electron model 4
Semiconductor
• Quantum Theory of Solids.
• Semiconductor in Equilibrium.
• Carrier Transport Phenomena.
• The pn Junction.