Question
Aluminium crystallizes in a cubic close packed structure. Its metallic radius is 125 pm. calculate the edge length of the unit cell.
Cubic close packing is based on face centered cubic unit cell.
For fcc structure $(r)=\frac{a \sqrt{2}}{4}$
Given, Radius $(r)=125$ pm
Edge length of unit cell $( a )=$ ?
$\because r=\frac{a \sqrt{2}}{4}$
$\therefore a =\frac{4 r }{\sqrt{2}}$
$=\frac{4 \times 125}{1.414}$
$a =353.6 pm$
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