Question

If the length of the body diagonal of a FCC unit cell is \( x \, \text{Å} \), the distance between two octahedral voids in the cell in \( \text{Å} \) is:

• A. \( \frac{x}{\sqrt{2}} \)
• B. \( \frac{x}{\sqrt{3}} \)
• C. \( \frac{x}{\sqrt{6}} \)
• D. \( \frac{x}{\sqrt{8}} \)

Hint:

In FCC crystals, the relationship between the body diagonal and the edge length is \( \text{Body Diagonal} = \sqrt{3} \cdot \text{Edge Length} \). This can be used to compute the distance between voids.