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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.
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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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