Show how a weak periodic potential opens up energy gaps at the Brillouin zone boundaries.
Semiconductors: Completely filled valence band with a narrow energy gap ( Slide 9: Semiconductor Crystals (Chapter 8) Semiconductor Physics & Doping introduction to solid state physics kittel ppt updated
Using Miller indices to define crystal planes and directions. Show how a weak periodic potential opens up
Modern slides often embed screenshots from or Mathematica simulations to validate Kittel’s equations with real-world computational results. VESTA (for crystallography)
Compare electron-sharing versus the "sea of electrons" model.
The best ones use Blender (for 3D lattices), VESTA (for crystallography), and Python with Matplotlib (for custom band structure plots). If an updated PPT looks like screenshots from a 1990s laser printer, it is not truly “updated.”