Sodium metal crystallizes in a body cent...

Sodium metal crystallizes in a body centred cubic lattice with a unit cell edge of 4.29 Å. The radius of sodium atom is approximately :

A

`5.72 Å`

B

`0.93Å`

C

`1.86Å`

D

`3.22 Å`

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The correct Answer is:

C

In bcc the atoms touch along diagonal
` therefore 2 r + 2 r = sqrt 3 a `
` therefore r = ( sqrt 3 a ) /( 4 ) = ( sqrt 3 xx 4.29 ) /( 4 ) = 1.857 Å`

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