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  • I have a doubt, kindly clarify. Lithium metal crystallises in a body centeredcubic crystal. If the length of the side of the unit cell of lithium is 351 pm.the atomic radius of the lithium will be:

Lithium metal crystallises in a body centered 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)

    151.8 pm

  • Option 2)

    75.5 pm

  • Option 3)

    300.5 pm

  • Option 4)

    240.8 pm

 

Answers (1)

best_answer

As learnt in

Relation between radius of constituent particle, R and edge length, a for body centered cubic unit cell -

-

 

 for a BCC lattice, we know that

\\ \sqrt{3}a= 4r \\ \Delta r = \frac{\sqrt{3}a}{4}= \frac{\sqrt{3}}{4} \times 351 pm= 151.983 pm

 


Option 1)

151.8 pm

this option is correct

Option 2)

75.5 pm

this option is incorrect

Option 3)

300.5 pm

this option is incorrect

Option 4)

240.8 pm

this option is incorrect

Posted by

prateek

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