A compound formed by elements A and B has a cubic structure in which A atoms are at the corner of the cube and B atoms are at the face centres. Derive the fomula of the compound.

Explanation

To derive the formula of the compound formed by elements A and B with the given cubic structure, we will follow these steps:

### Step 1: Determine the number of A atoms in the unit cell
- In a cubic structure, A atoms are located at the corners of the cube.
- There are 8 corners in a cube, and each corner atom contributes \( \frac{1}{8} \) of its volume to the unit cell.
- Therefore, the total contribution of A atoms in the unit cell can be calculated as:
\[
\text{Number of A atoms} = 8 \times \frac{1}{8} = 1
...