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A metallic element crystallizes to bee type of crystal lattice, having edge length of unit cell 5 A. Calculate radius of its atom. -

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Question

A metallic element crystallizes to bcc type of crystal lattice, having edge length of unit cell 5 A. Calculate radius of its atom.

Options

  • 250.0 pm

  • 176.8 pm

  • 261.5 pm

  • 216.5 pm

MCQ

Solution

216.5 pm

Explanation:

For BCC, `sqrt3`a = 4 r

`(sqrt3 xx 5 xx 10^-10)/4` = r

2.165 × 10-10 = r

r = 216.5 × 10-12 m

= 216.5 pm

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Crystal Structure
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