In a face centred cubic lattice, atom `A` occupies the corner positions and atom `B` occupies the face centred positions. If one atom of `B` is missin from one of the face centred points,, the formula of the compound is `:`

Options

A. `AB_(2)`
B. `A_(2)B_(3)`
C. `A_(2)B_(5)`
D. `A_(2)B`

Explanation

To determine the formula of the compound in a face-centered cubic lattice where atom A occupies the corner positions and atom B occupies the face-centered positions, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Position of Atoms:**
- In a face-centered cubic (FCC) lattice, there are 8 corner positions and 6 face-centered positions.
- Atom A occupies all the corner positions.
- Atom B occupies the face-centered positions.
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