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  4. In the face-centred cubic lattice structure of gold the closest distance between gold atoms is (' a ' being the edge length of the cubic unit cell)

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Q. In the face-centred cubic lattice structure of gold the closest distance between gold atoms is (' $a$ ' being the edge length of the cubic unit cell)

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Solution:

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.