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Question: From the fact that the length of the side of a unit cell of lithium is 351 pm. Calculate its atomic ...

From the fact that the length of the side of a unit cell of lithium is 351 pm. Calculate its atomic radius. Lithium forms body centred cubic crystals.

A

152.69 pm

B

62.71 pm

C

151.98 pm

D

54.61 pm

Answer

151.98 pm

Explanation

Solution

In (bcc) crystals, atoms touch each other along the cross diagonal.

Hence, Atomic radius (R)=a34( R ) = \frac { a \sqrt { 3 } } { 4 }

=351×34=151.98pm= 351 \times \frac{\sqrt{3}}{4} = 151.98pm