- What is the de Haas van Alphen effect and how is it used to map out the Fermi surface?

- What do the Fermi surfaces of the Alkali metals look like?
- What do the Fermi surfaces of the Noble metals look like?
- What happens to the Fermi surfaces of metals as the number of electrons per unit cell increases? Why?
- What is a semimetal?

- Write down the Boltzmann equation.
- What is the Wiedemann-Franz law? Under what conditions is it expected to be valid?
- What is Matthiessen’s rule? When is it valid or not valid?
- For elastic scattering how is the transport scattering rate modified so as to make forward scattering not important?

- What are the Hartree equations? What are they missing?
- What is the trial wave function for the Hartree-Fock approximation?
- What does it include that is not in the Hartree approximation?
- What is screening?
- What is the basis of Thomas-Fermi screening?
- What is the typical screening length in a metal?
- What are the assumptions of Lindhard screening?
- How does Lindhard screening differ from Thomas-Fermi screening for a static potential?
- Why does electron-electron scattering rate in metals become small at low temperatures? What is the temperature dependence of this rate?
- What is a quasiparticle?
- What is Fermi liquid theory?

- What is the work function if we neglect surface charge rearrangement?
- How does the work function change if we allow for surface charge rearrangement?
- Sketch the charge density and the potential for the case when there is surface charge rearrangement.
- Can the work function depend on the surface - not just the material? Why?
- What is a contact potential?
- How does one measure the work function using contact potentials?
- What is a typical work function in a metal?

- What is a covalent bond?
- What does the charge density of a covalent bond look like?
- What is a covalent crystal? Give an example of one.
- What is a molecular crystal? Give an example of one.
- What does the charge density look like in a covalent crystal?
- What holds a molecular crystal together?
- What is an ionic crystal? Given an example of one.
- What does the charge density of a ionic crystal look like?
- What holds an ionic crystal together?
- What determines the cohesive energy in metals?

- Name 5 failures of the static lattice model.

- What is the form of the energy of a harmonic crystal in terms of the D(R-R’) matrix?
- What is the law of Dulong and Petit?
- What is F=ma for a simple one dimensional lattice modeled by masses and springs? What is the form of the solution?
- What does omega vs k look like for this model? How does omega behave for small k?
- For a three dimensional crystal what is omega_s(k)? How does it behave at small k?
- What is an acoustic mode?
- What is an optical mode?

- What is the energy density of a harmonic crystal in terms omega_s(k)?
- what is the specific heat of a harmonic crystal in terms of omega_s(k)?
- What is the form of the low temperature and high temperature specific heat of a quantum harmonic crystal?
- What is the Debye model for phonons?
- What is a typical Debye energy and temperature?
- What is the Einstein model for phonons?

- What are the conservation laws for neutron scattering from phonons?
- What are the zero phonon scattering processes and how are they related to x-ray scattering?
- What does the scattering from one phonon processes look like? Why? How does one use it to determine omega_s(k)?
- What does the scattering from two phonon processes look like? Why?
- What are Brillouin and Raman scattering of visible light?
- Compare the energy and wave vectors of visible light and phonons.

- Name three failures of the harmonic crystal
- What is the Grüneisen parameter? How is it related to the thermal expansion in insulators?
- What is Umklapp scattering and why is it important for the lattice thermal conductivity?
- Sketch the temperature dependence of the thermal conductivity in insulators. Explain the high and low temperature limits of your graph.

- How does the speed of sound in a metal compare to the Fermi velocity (Bohm-Staver relation)?
- What is the effective electron-electron interaction due to phonons? Under what conditions can it be attractive?
- What is the temperature dependence of the resistivity in metals due to phonons at high temperatures? at low temperature?
- What is the temperature dependence for the electron-phonon scattering rate in metals for temperatures less than the Debye temperature? Why does this differ from the temperature dependence of the resistance at low temperatures?

- Sketch the frequency dependent dielectric constant for a single resonance (Fig. 27.5)?
- What are the longitudinal and transverse optical modes in insulators and how are they determined from the frequency dependent dielectric constant?
- What is a typical dielectric constant for covalent insulators? Why would the dielectric constant be so large?
- What is ferroelectricity?

- What does the band structure of a semiconductor look like? How is it different from a metal and an insulator?
- What determines the effective masses of the electrons and holes?
- Where is the Fermi energy of a semiconductor in relation to the conduction and valence band edges?
- What is the form of the temperature dependence of the density of electrons and holes in a semiconductor?
- How is the product of the density of electrons and holes related to the intrinsic density in a semiconductor?
- What is a donor?
- What is an acceptor?
- In a p-type semiconductor, how is the density of electrons and holes related to N
_{a}and n_{i}? - In a n-type semiconductor, how is the density of electrons and holes related to N
_{d}and n_{i}?