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Question
Aluminium crystallizes in a cubic close packed structure. Its metallic radius is 125 pm. calculate the edge length of the unit cell.
Solution
Cubic close packing is based on face centered cubic unit cell.
For fcc structure (r) = `("a"sqrt2)/4`
Given, Radius (r) = 125 pm
Edge length of unit cell (a) = ?
∵ r = `("a"sqrt2)/4`
∴ a = `(4"r")/sqrt2`
= `(4 xx 125)/1.414`
a = 353.6 pm
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