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The number of atoms in BCC arrangement i...

The number of atoms in BCC arrangement is:

A

1

B

2

C

8

D

4

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The correct Answer is:
To determine the number of atoms in a Body-Centered Cubic (BCC) arrangement, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the BCC Structure**: - In a BCC lattice, there are atoms located at the eight corners of a cube and one atom at the center of the cube. 2. **Calculate Contribution from Corner Atoms**: - Each corner atom contributes \( \frac{1}{8} \) of an atom to the unit cell because it is shared among eight adjacent cubes. - Since there are 8 corners in a cube, the total contribution from corner atoms is: \[ \text{Contribution from corners} = 8 \times \frac{1}{8} = 1 \text{ atom} \] 3. **Calculate Contribution from the Body-Centered Atom**: - The atom at the body center contributes fully to the unit cell, which is 1 atom. 4. **Total Number of Atoms in BCC**: - To find the total number of atoms in the BCC unit cell, we add the contributions from the corner atoms and the body-centered atom: \[ \text{Total number of atoms} = \text{Contribution from corners} + \text{Contribution from body center} = 1 + 1 = 2 \text{ atoms} \] ### Final Answer: - The total number of atoms in a BCC arrangement is **2**.
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