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MAS.020UF Introduction to Solid State Physics
Outline
Crystal Structure
The 7 crystal systems
Pearson symbols
Crystalographic directions
Miller indices
Symmetries
Crystal structures
Polymorphism
Crystal databases
For the exam
Periodicity, Fourier Series, and Reciprocal Space
Fourier series in one dimension
Review of exponential functions
Three-dimensional periodic functions
Reciprocal space
Periodicity conditions
Fourier series in 2-D
Fourier series in 3-D
For the exam
Diffraction
Intensity of the scattered waves
Ewald sphere
Atomic form factors
Structure factors
Brillouin zones
Netplanes and lattice planes
Bragg diffraction
Powder diffraction
Electron diffraction
Low Energy Electron Diffraction
Neutron Diffraction
For the exam
Normal Modes and Phonons
Using complex numbers to describe oscillations
The translation operator
1-d chain of atoms
1-d chain of atoms with two different masses
Phonons in 3D crystals
Phonon dispersion of an fcc crystal
Calculating the phonon dispersion of an fcc crystal
Plotting the phonon dispersion of an fcc crystal
Phonon density of states of an fcc crystal
Phonon dispersion of a bcc crystal
Plotting the phonon dispersion of a bcc crystal
Phonon density of states of a bcc crystal
Phonon dispersion of a simple cubic crystal
Plotting the phonon dispersion of a simple cubic crystal
Phonon density of states of a simple cubic crystal
Phonons of crystals with more atoms in the basis
Animations of some optical modes
Phonon data in databases
Measuring phonon dispersion
Phonon contribution to the thermodynamic properties of crystals
For the exam
Electrons
The valence electrons of metals
The valence electrons become unbound
Free-electron model of metals
Sommerfeld expansion
For the exam
Electron energy bands
Bloch theorem
Bloch waves in 1-D
Band structure in 1-D
Empty lattice approximation
Fermi surface of a two-dimensional square lattice
Fermi surfaces of 3-D crystals
Metals, Semiconductors, and Insulators
The thermodynamic properties depend dramatically on the number of electrons in the primitive unit cell
Band structure calculations
Plane wave method
Tight binding
Electron contribution to the thermodynamic properties of a solid
Semiconductors
Boltzmann approximation
For the exam
