A substance `A_(x)B_(y)` crystallizes in a face-centred cubic lattice in which atoms A occupy the centres of each face of the cube and B occupy each corner of the cube. Identify the correct composition of the substane

Options

A. `AB_(3)`
B. `A_(2)B_(3)`
C. `A_(3)B`
D. `cannot be specified

Explanation

To determine the correct composition of the substance \( A_xB_y \) that crystallizes in a face-centered cubic (FCC) lattice, we need to analyze the positions of atoms A and B in the unit cell.

### Step-by-Step Solution:

1. **Identify the positions of atoms in the FCC lattice:**
- In a face-centered cubic lattice, atoms A occupy the centers of each face of the cube.
- Atoms B occupy each corner of the cube.

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