Metallic gold crystallises in a face-centredcubic lattice. The length of the cubicunit cell is a = 4.0 mass of gold = 197 u)
(a) What is the closest distance between gold atoms?
(b) How many "nearest neighbours" does each gold atom have at a distance calculated in (a)?
(c) What is the density of gold?

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Solution

(A)

(B)Each sphere is surrounded by 12 nearest neighbour.

Thus in case of metallic gold crystal each gold atom has 12 nearest neighbour.

(C)

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Metallic gold crystallises in a face-centredcubic lattice. The length of the cubicunit cell is a = 4.0 mass of gold = 197 u)(a) What is the closest distance between gold atoms?(b) How many "nearest neighbours" does each gold atom have at a distance calculated in (a)?(c) What is the density of gold?