Question

How much part of any corner atom actually belongs to a particular unit cell?

• A. \( \frac{1}{4} \)
• B. \( \frac{1}{6} \)
• C. \( \frac{1}{8} \)
• D. \( \frac{1}{10} \)

Hint:

Atoms at the corners of a unit cell are shared among eight adjacent unit cells, so each contributes \( \frac{1}{8} \) of its volume.

Answer 1

The Correct Option is D

In a unit cell, atoms located at the corners are shared by eight adjacent unit cells. Hence, each corner atom contributes only \( \frac{1}{8} \) of its total volume to a single unit cell. Therefore, the correct answer is option (D).