Question

The number of particles present in a Face-Centered Cubic (FCC) unit cell is/are ____________.

• A. 1
• B. 2
• C. 3
• D. 4

Hint:

The FCC structure is characterized by a total of 4 atoms within each unit cell, combining contributions from atoms at the corners and the center of each face.

Answer 1

The Correct Option is D

In a face-centered cubic (FCC) structure, the unit cell includes: - 8 corner atoms, with each atom contributing \( \frac{1}{8} \) to the unit cell.
- 6 face-centered atoms, with each atom contributing \( \frac{1}{2} \) to the unit cell.
Calculating the total atoms per unit cell gives: \[ 8 \times \frac{1}{8} + 6 \times \frac{1}{2} = 1 + 3 = 4 \] Thus, the correct answer is (d) \( 4 \).