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Question

Chemistry Question on The solid state

Lithium metal crystallizes in a body centred cubic crystal. If the length of the side of the unit cell of lithium is 351pm,351\, pm, the atomic radius of the lithium will be

A

240.8 pm

B

151.8 pm

C

75.5 pm

D

300.5 pm

Answer

151.8 pm

Explanation

Solution

for bcc type of unit cell 3a=4r\sqrt{3} a =4 r r=34ar =\frac{\sqrt{3}}{4} a =1.732×3514=\frac{1.732 \times 351}{4} =151.98=151.98