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Metallic gold crystallizes in the fcc la...

Metallic gold crystallizes in the fcc lattice.
The length of the cubic unit cell is `a = 4.242 A`.
a. What is the closest distance between gold atoms?
b. How many "nearest neighbours" does each gold atom have at the distance calculated in `(a)`?
(c) What is the density of gold? (Aw of Au `= 197.0 g mol^(-1)`)
d. Prove that the packing factor for gold is `0.74`.

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