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(C) In a simple cubic structure,atoms are present only at the corners. The effective number of atoms per unit cell is $Z = 1$.Volume of one atom $= \f

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$\frac{\pi}{6}$

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(C) In a simple cubic structure,atoms are present only at the corners. The effective number of atoms per unit cell is $Z = 1$.Volume of one atom $= \frac{4}{3} \pi r^3$,where $r$ is the radius of the atom.Volume of the unit cell $= a^3$,where $a$ is the edge length.In a simple cubic unit cell,the atoms touch along the edge,so $a = 2r$.Packing fraction $= \frac{Z 	imes 	ext{Volume of one atom}}{	ext{Volume of unit cell}} = \frac{1 	imes \frac{4}{3} \pi r^3}{(2r)^3} = \frac{4 \pi r^3}{3 	imes 8 r^3} = \frac{\pi}{6}$.

The fraction of the total volume occupied by the atoms in a simple cubic unit cell is

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