Consider the band structure of silicon carbide ( SiC) shown below. a) Where do you expect to find the Fermi energy? (hint: which bands are filled?) b) What type of material is this? What color do you expect it to appear under sunlight? c) Silicon and silicon carbide (SiC) both crystallize in the FCC structure with a 2-atom basis. Their band structures look extremely similar, except at the X point, considering the lowest two bands (see for comparison the Si band structure below). Explain why this difference occurs. (hint: What happens to waves at a Brillouin zone boundary? What is the key difference in their unit cells that could affect this? Think: lattice \& basis)