Question 04 (20 pts.):
(a-10 pts.) Derive planar density expressions for FCC (100) and (111) planes in terms of the atomic radius r.
(b-10 pts.) Compute and compare planar density values for these same two planes for aluminum (Al, FCC). The atomic radius for Al is 0.143 nm.
Question 05 (40 pts.):
(a-20 pts.) Determine the indices for the directions shown in the following cubic unit cell.
(b-20 pts.) Sketch the planes corresponding to the directions in part (a). Use separate unit cells for each place.