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: Understanding the Concept:
A Simple Cubic Crystal (SCC) structure is one of the simplest crystal structures.
In an SCC unit cell, atoms are located only at the eight corners of the cube.
Step 2: Detailed Explanation:
Each atom at a corner of a unit cell is shared by eight adjacent unit cells.
Therefore, the contribution of each corner atom to a single unit cell is only \( \frac{1}{8} \).
Since there are 8 corners in a cube, the total number of atoms per unit cell is calculated as follows:
\[ \text{Number of atoms} = \left( \frac{1}{8} \frac{\text{atom}}{\text{corner}} \right) \times (8 \text{ corners}) \]
\[ \text{Number of atoms} = 1 \]
Step 3: Final Answer:
The total number of atoms per unit cell of a Simple Cubic Crystal (SCC) is 1.