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

Options

A. `( 24)/( 3) pi r^(3)`
B. `( 12)/( 3) pi r^(3)`
C. `( 16)/( 3) pi r^(3)`
D. `( 20)/( 3) pi r^(3)`

Answer

C

Explanation

No. of atoms present per unit cell in fcc arrangement =4
Total volume of atoms present
`= 4 xx ( 4)/( 3) pi r^(3) = ( 16)/( 3) pi r^(3)`