The number of close neighbours in a body centred cubic lattice of identifical spheres is

Options

A. 8
B. 6
C. 4
D. 2

Answer

To determine the number of close neighbors in a body-centered cubic (BCC) lattice of identical spheres, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Structure of BCC Lattice**:
- In a body-centered cubic lattice, there are spheres located at the eight corners of a cube and one sphere at the center of the cube.

2. **Identify the Close Neighbors**:
- The sphere located at the body center of the cube is the one we are focusing on. We need to find out how many close neighbors surround this central sphere.

3. **Count the Neighbors**:
- The central sphere is surrounded by the spheres located at the corners of the cube. In a BCC lattice, there are 8 corner spheres.

4. **Conclusion**:
- Therefore, the number of close neighbors for the sphere at the body center is 8.

### Final Answer:
The number of close neighbors in a body-centered cubic (BCC) lattice of identical spheres is **8**.

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