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Sodium metal crystallizes in body centre...

Sodium metal crystallizes in body centred cubic lattice with the cell edge a=4.28Å. What is the radius of the sodium atom ?

A

1.86Å

B

6.81Å

C

8.61Å

D

2.94Å

Text Solution

Verified by Experts

The correct Answer is:
A

For a b.c.c. unit cell :4r=`asqrt3,"where" a`=edge length
`therefore r=sqrt3/4a,"Here"a=4.28Å`
`therefore r=(sqrt3times4.28)/4Å`
=`1.857 Åapprox1.86Å`
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