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Question: Answered & Verified by Expert
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)
ChemistrySolid StateWBJEEWBJEE 2020
Options:
  • A $a \sqrt{2}$
  • B $\frac{a}{\sqrt{2}}$
  • C $\frac{a}{2 \sqrt{2}}$
  • D $2 \sqrt{2}$ a
Solution:
1676 Upvotes Verified Answer
The correct answer is: $\frac{a}{\sqrt{2}}$
Hint:
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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