Question

If the volume of a cubic unit cell in Bravais lattice is \(V\), the volume of the unit cell in reciprocal lattice will be:

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

Hint:

The reciprocal lattice volume is inversely proportional to the direct lattice volume.

Answer 1

The Correct Option is B

The volume of the reciprocal unit cell is given by:
\[ V^* = \frac{(2\pi)^3}{V} \]