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Aluminium crystallises in a cubic close-...

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

Text Solution

Verified by Experts

(i) ccP = fcc . For fcc a ` = 2sqrt(2)r = 2xx4.414xx125` pm = 354 pm
(ii) Volume of one unit cell = `( 354 xx10^(-10)cm)^(3)=4.44 xx10^(-23)cm^(3)`
Unit cells in 1 `cm^(3)= (1)/(4.44xx10^(-23))=2.25xx10^(22).`
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