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

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

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Solution:

for bcc type of unit cell

$\sqrt{3} a =4 r$

$r =\frac{\sqrt{3}}{4} a$

$=\frac{1.732 \times 351}{4}$

$=151.98$