Gold crystals have a bcc structure. The radius of a gold atom is 144 pm, and the atomic weight of gold is 196.97 amu. Calculate the density of gold. Show Your Work!
Note:
Primitive Cubic (pc): 2(atomic radius) = edge
Face-Centered Cubic (fcc): 4(atomic radius) = edge(√2) = face diagonal
Body-Centered Cubic (bcc): 4(atomic radius) = edge(√3) = body diagonal
Atoms per Unit Cell
pc = 1 atom/unit cell
bcc = 2 atoms/unit cell
fcc = 4 atoms/unit cell