Q.

A metal crystallises in a face centred cubic structure. If the edge length of its unit cell is 'a', the closest approach between two atoms in metallic crystal will be:

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By Expert Faculty of Sri Chaitanya

a

2a

b

a2

c

2a

d

22a

answer is 2.

(Detailed Solution Below)

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Detailed Solution

for fcc then b=4r=2aa=4r2=22r⇒r=a22 Therefore, distance of closest approach =2r=2×a22=a2
ctaimg
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