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  • Lithium metal crystallises 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:<st

Lithium metal crystallises 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:

Option: 1

151.98 pm


Option: 2

75.5 pm


Option: 3

300.5 pm


Option: 4

240.8 pm


Answers (1)

best_answer

For body centred cubic (bcc) crystal,

                                              a \sqrt{3}=4 r\\

Given, 

        Side length, a = 351 pm

Then,  

          \begin{aligned} r &= \frac{a\sqrt{3}}{4} \\ &=\frac{351\times 10^{-12} \times \sqrt{3}}{4} \\ & = 151.98 \ pm \end{aligned}

Posted by

Deependra Verma

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