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Sodium metal crystallizes in bcc structu...

Sodium metal crystallizes in bcc structure with the edge length of the unit cell `4.3 xx 10^(-8) cm ` . Calculate the radius of sodium atom.

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Edge length of the unit cell `(a)=4.3xx10^(-8)`cm
Radius of sodium atom (r) `=?`
For bcc structure, `r=sqrt(3)/4 a`
`=(sqrt(3))/(4)(4.3xx10^(-8)cm)`
`=(1.732xx4.3xx10^(-8))/(4)`
`=(7.4476)/(4)xx10^(-8)`cm
`=1.86xx10^(-8)cm=1.86 Å`
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