In a face centred cubic arrangement of A and B atoms whose A atoms are at the corner of the unit cell and B atoms at the face centres. Once of the A atom is missing from one corner in unit cell. The simplest formula of compound is

Options

A. `A_(7)B_(3)`
B. `AB_(3)`
C. `A_(7)B_(24)`
D. `A_(2)B_(3)`

Explanation

To find the simplest formula of the compound formed by A and B atoms in a face-centered cubic arrangement, we will follow these steps:

### Step 1: Identify the positions of the atoms
In a face-centered cubic (FCC) arrangement:
- A atoms are located at the corners of the unit cell.
- B atoms are located at the face centers of the unit cell.

### Step 2: Calculate the contribution of A atoms
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