Problem #3 Cu is in FCC structure. We know that even at close to melting temperature, vacancies are still sparsely distributed, i.e., it is almost impossible to find two vacancies directly adjacent to each other. So, for a single vacancy (assuming that it is at the origin (0,0,0) of FCC structure), determine (1) How many Cu atoms (nearest neighbors) can directly jump to this vacancy? (2) List all the jumping vectors (from each nearest neighbor Cu atom to this vacancy) in their lattice coordinates. Please draw a 3D schematic of the structure and label each [uvw) of the vectors