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

1

12\frac{1}{2}

2

13\frac{1}{3}

3

14\frac{1}{4}

4

112\frac{1}{12}

Step-by-Step Solution

In an fcc unit cell, octahedral voids are located at the body center (1) and at the center of each of the 12 edges. Each edge-centered octahedral void is shared by 4 adjacent unit cells. Therefore, the fraction of one edge-centered octahedral void that lies within one unit cell is 14\frac{1}{4}.

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