a) Si and C can form a solid material with a Zinc Blende structure. What type of bonding do you expect to occur between the Si and C atoms in the lattice? Perform a calculation to show your work. (8 pts) If you were to calculate the atomic packing factor (APF) of this material, would you use the atomic radius or ionic radius to determine the size of the constituents? Briefly explain how this will affect your unit cell. (4 pts) Determine the unit cell edge length, a, of the SiC unit cell. Show your work, including any sketches/diagrams that you made to reach the answer. (8 pts) d) Si and C both tend to have an ionization charge state of 4. Briefly explain how it is possible for these two materials to form a crystal lattice of this type without charge balance issues. (5 pts)