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Question: Platinum crystallizes in a face-centered cubic crystal with a unit cell length 'a'. The distance bet...

Platinum crystallizes in a face-centered cubic crystal with a unit cell length 'a'. The distance between nearest neighbors is:

A

a

B

a32\frac{\sqrt{3}}{2}

C

a22\frac{\sqrt{2}}{2}

D

a24\frac{\sqrt{2}}{4}

Answer

a22\frac{\sqrt{2}}{2}

Explanation

Solution

Distance between nearest neighbours is along the face diagonal = a22\frac{a\sqrt{2}}{2}