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Total volume of atoms present in face ce...

Total volume of atoms present in face centred cubic unit cell of a metal is (r- atomic radius)

A

`20/3pir^(3)`

B

`24/3pir^(3)`

C

`12/3pir^(3)`

D

`16/3pir^(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
For a face centred cubic unit cell there are 4 atoms per unit cell.
For one spherical atom, volume V = `4/3pir^(3)` For, 4 atoms volume,
`V=4/3pir^(3)xx4=16/3pir^(3)`
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