Describe crystal structures in both direct and reciprocal space by identifying the primitive unit cell, atomic basis, reciprocal unit cell, and first Brillouin zone.
Groups and Symmetry
Identify crystal symmetries and their group theoretical relationships and apply them to descriptions of physical and properties such as phonon spectra, electronic bond structures, other excitation phenomena, and Fermi surfaces.
Calculate Basic Properties
Calculate basic electronic and phononic properties of materials using both classical and quantum mechanical models.