Use classical electromagnetism to derive how molecular vibrations produce light at frequencies different from the incident light. Examine scattering intensity, the conditions for observing a vibration, and experimental results that classical theory cannot explain.
Vibrational quantization explains Stokes and anti-Stokes intensities, their temperature dependence, and the recovery of classical Raman theory.
What repeating unit makes up graphene’s honeycomb structure? Construct its reciprocal lattice and Brillouin zone from the atomic arrangement, and explore how crystal periodicity relates to waves.
Learn how atomic orbitals and coupling between neighbouring atoms give rise to graphene’s two energy bands and the points where they touch.
Why do electrons in graphene behave like massless particles? Explore the connection between the shape of the Dirac cone and the electrons’ velocity.
Read a measured graphene Raman spectrum, identify the phonons behind G, D and 2D, and use wavevector balance to explain why 2D can appear without D.