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The unit cell of aluminium is a cube wit...

The unit cell of aluminium is a cube with an edge length of 405 pm. The density of aluminium is 2.70 g `cm^(-3)`. What is the structure of unit cell of aluminium ?

A

face centred

B

body centred

C

primitive

D

edge centre

Text Solution

Verified by Experts

Density `(rho) = (ZxxM)/(a^(2)xxN_(0))`
`2.7=(Zxx27)/((405xx10^(-10))xx6.023xx10^(23))`
`Z=(2.7xx(405)^(2)xx10^(-30)xx6.023xx10^(22))/(27)`=4= no. of atoms per unit cell. For face centred cubic unit cell, number of atoms are 4.
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