Spring 2005
Instructor: Prof. George Flynn
Department of Chemistry

The basics of electronic structure in solids approached from a delocalized chemical bonding picture for molecules.

1. Simple Review of Bonding
   a. Two center, localized bonding
   b. Multi-center, delocalized bonding in p systems


2. Hückel Theory Treatment: Delocalized Bonding in p Systems


3. One Dimensional Band Model
   a. Periodic boundary conditions
   b. Adapting formalism to treat delocalized ring p systems.
   c. Adapting formalism to treat delocalized linear p systems.
   d. Equivalence or results from Hückel Theory and one dimensional band


4. Qualitative Bonding in Solids
   a. Bands derived from s, p, d, atomic orbitals
   b. Half filled bands in metals
   c. Bonding in semi-conductors (Silicon and diamond)


5. Free Electron/Particle in a Box States
   a. Energies
   b. Wavefunctions
   c. Density of states in 1, 2, 3 dimensions
   d. Perturbations due to square well periodic potential


6. Tunneling in a Square Well, Periodic Potential


7. Bands Arising from a Square Well, Periodic Potential


8. Statistical Mechanics of Solids
   a. Fermi function
   b. Fermi sea
   c. Fermi level


9. Vibrations in Solids
   a. Einstein treatment
   b. Debye treatment
   c. Effects on heat capacity
   d. Heat capacity of electrons in metals

G8252 in the Columbia University Directory of Classes