351: Introductory Physics of Materials

Quantum mechanics; applications to materials and engineering. Band structures and cohesive energy; thermal behavior; electrical conduction; semiconductors; amorphous semiconductors; magnetic behavior of materials; liquid crystals. Lectures, laboratory, problem solving. Prerequisites: GEN ENG 205 4 or equivalent; PHYSICS 135 2,3.
At the conclusion of 351-1 students will be able to:
  1. Solve the time-independent Schrödinger equation for simple one-dimensional potentials.
  2. Calculate probabilities of reflection and transmission for 1-D potential barriers or wells.
  3. Use the wavefunctions and energies of the hydrogen atom to determine the ground and excited state energies of hydrogenic systems.
  4. Describe models of bonding, including ionic, covalent, metallic, and Van der Waals, using quantum mechanical concepts of energy minimization.
  5. Calculate the specific heat for fermions (e.g. electrons) and bosons (e.g. phonons) in 1, 2, and 3 dimensions, given the density of states.
  6. Describe the impact of Fermi statistics on the electrical properties of metals.
  7. Use simple models of band-structure, such as the Feynman model and the Krönig-Penney model, to relate the properties of local atomic states to delocalized states (bands) in a material.
  8. Given the dispersion relationship, calculate the effective mass and density of states in the nearly free electron approximation.
  9. Determine the intrinsic and/or extrinsic carrier concentration in a semiconductor given the temperature, doping level, and other relevant quantities.