Question:
What is the total contribution of all corner particles in bcc unit cell?
What is the total contribution of all corner particles in bcc unit cell?
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Each corner is shared by eight cells.
Updated On: Oct 1, 2026
- 1 particle
- 2 particles
- 3 particles
- 4 particles
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The Correct Option is A
Solution and Explanation
Step 1: Count corner atoms
A cubic cell has \(8\) corners. Each corner atom is shared among \(8\) unit cells, so each contributes \(1/8\).
Step 2: Calculate
\[ 8 \times \frac{1}{8} = 1 \]
Step 3: Note
The bcc cell has one extra atom at the body centre, giving two atoms per cell. The corners alone contribute 1.
Final Answer:
Corner atoms contribute 1 particle. \[ \boxed{\text{(A)}\ 1\ \text{particle}} \]
A cubic cell has \(8\) corners. Each corner atom is shared among \(8\) unit cells, so each contributes \(1/8\).
Step 2: Calculate
\[ 8 \times \frac{1}{8} = 1 \]
Step 3: Note
The bcc cell has one extra atom at the body centre, giving two atoms per cell. The corners alone contribute 1.
Final Answer:
Corner atoms contribute 1 particle. \[ \boxed{\text{(A)}\ 1\ \text{particle}} \]
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