The Solid State

The Solid State

Question

Lithium forms body centred cubic structure. The length of the side of its unit cell is 351 pm. Atomic radius of the lithium will be

  • 75 pm

  • 300 pm

  • 240 pm

  • 152 pm

Answer

D.

152 pm

In body centred cubic structure,
Edge length = a = 351 pm, radius= r=?
straight r space equals space fraction numerator square root of 3 straight a end root over denominator 4 end fraction space equals fraction numerator square root of 3 space straight x space 351 over denominator 4 end fraction space equals space 152 space pm

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