A solid is made up of two elements A and B. Atoms A occupy all the tetrahedral sites while atoms B are in ccp arrangement. Derive the formula of the compound.

Explanation

To derive the formula of the compound formed by elements A and B, we need to analyze the arrangement of atoms in the solid. Here’s a step-by-step solution:

### Step 1: Understand the arrangement of atoms
- In the given solid, atoms of element A occupy all the tetrahedral sites, while atoms of element B are arranged in a cubic close-packed (ccp) structure.

### Step 2: Determine the number of formula units in ccp
- In a cubic close-packed structure, the number of formula units per unit cell is 4. This is because:
- There are 8 atoms located at the corners of the cube, each contributing 1/8th of an atom to the unit cell (8 corners × 1/8 = 1 atom).
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