Question:

The number of nearest neighbours in a BCC unit cell is:

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In a BCC unit cell, the atom at the center is surrounded by 8 nearest neighbors at the cube’s corners.
Updated On: Jan 22, 2025
  • \( 12 \)
  • \( 8 \)
  • \( 6 \)
  • \( 4 \)
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The Correct Option is B

Solution and Explanation

In a Body-Centered Cubic (BCC) unit cell, the arrangement consists of: - One atom positioned at the center of the cube,
- Eight atoms placed at the corners of the cube.
The central atom is in contact with the eight corner atoms, making them its nearest neighbors. Therefore, the coordination number of a BCC lattice is \( 8 \).
Other options: - A coordination number of \( 12 \) corresponds to Face-Centered Cubic (FCC) structures.
- A coordination number of \( 6 \) applies to Simple Cubic structures.
- A coordination number of \( 4 \) is not applicable to BCC. Final Answer: \[ \boxed{8} \]
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