Question

The packing efficiency of BCC unit cell is equal to

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

Hint:

When dealing with unit cells, remember the packing efficiency formula and the geometrical relations for BCC and FCC cells.

Answer 1

The Correct Option is C

The packing efficiency of a BCC unit cell is given by:
\[ \text{Packing Efficiency} = \frac{V_{\text{atoms}}}{V_{\text{cell}}} \times 100 \] The value for BCC is \( \frac{\sqrt{3\pi}}{6} \).