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\(In\) the face-centred cubic lattice structure of gold the closest distance between gold atoms is ('a' being the edge ength of the cubic unit cell)
(A) \(a \sqrt{2}\)
(B) \(\frac{a}{\sqrt{2}}\)
(C) \(\frac{a}{2 \sqrt{2}}\)
(D) \(2 \sqrt{2} \mathrm{a}\)

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Ans: (B)
 Closest distance between two gold atoms in fcc lattice of gold is \(\frac{a}{\sqrt{2}}\). This is the distance between the corner atom and the closest face centre atom.
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