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Aluminium crystallises in a cubic closed...

Aluminium crystallises in a cubic closed packed structure. Its metallic radius is 125 pm.
(i) What is the length of the side of the unit cell?
(ii) How many unit cells are there in 1.00 cm^3 of aluminium?

Text Solution

Verified by Experts

(i) Cubic closed packing is same as fcc.
For fcc, `a=(2sqrt(2)) xx r =353.5=354`pm
(ii) Volume of unit cell, `a^(3)=(353.5xx10^(-10)cm)^(3)`
`=4.42xx10^(-23)cm^(3)`
Number of unit cells `=(1cm^(3))/(4.42xx10^(-23)cm^(3))`
`=2.26xx10^(22)` unit cells
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