What fraction of one edge centred octahedral void lies in one unit cell of fcc?

What fraction of one edge centred octahedral void lies in one unit cell of fcc?
A $\frac{1}{12}$
B $\frac{1}{2}$
C $\frac{1}{3}$
D $\frac{1}{4}$

Explanation

Each cube edge is shared by 4 unit cells, so an edge-centre void contributes $\frac{1}{4}$.

Detailed Solution

One edge of a cube is common to four unit cells. Hence one edge centre OV contributes $\frac{1}{4}$ to one unit cell.

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