Question

The number of atoms per unit cell of SCC are:

• A. 1
• B. 2
• C. 3
• D. 4

Hint:

To quickly find the number of atoms in a unit cell, remember the contribution of atoms at different positions: Corner atoms contribute \( \frac{1}{8} \), face-centered atoms contribute \( \frac{1}{2} \), and body-centered atoms contribute 1. For SCC, it's just 8 corners, so \( 8 \times \frac{1}{8} = 1 \).

Answer 1

The Correct Option is A

Step 1: Concept Overview:
The Simple Cubic Crystal (SCC) structure represents a fundamental crystal arrangement.
In an SCC unit cell, atoms reside exclusively at the cube's eight corners.
Step 2: In-Depth Analysis:
Each corner atom is shared among eight neighboring unit cells.
Consequently, each corner atom contributes only \( \frac{1}{8} \) to a single unit cell.
With 8 corners per cube, the total number of atoms within the unit cell is:
\[ \text{Number of atoms} = \left( \frac{1}{8} \frac{\text{atom}}{\text{corner}} \right) \times (8 \text{ corners}) \]
\[ \text{Number of atoms} = 1 \]
Step 3: Conclusion:
Therefore, a Simple Cubic Crystal (SCC) unit cell contains a total of 1 atom.