A compound of 'A' and 'B' crystallises in a cubic lattice in which 'A' atoms occupy the lattice points at the corners of the cube. The 'B' atoms occupy the centre of each face of the cube. The probable empirical formula of the compound is
Show Hint
- $AB_{2}$
- $A_{3}B$
- AB
- $AB_{3}$
The Correct Option is D
Solution and Explanation
Atoms at corners are shared by 8 unit cells. Number of A atoms $= 8 \times (1/8) = 1$.
Step 2: Calculate Atoms of 'B'
Atoms at face centers are shared by 2 unit cells. There are 6 faces. Number of B atoms $= 6 \times (1/2) = 3$.
Step 3: Empirical Formula
The ratio of A:B is 1:3, leading to the formula $AB_3$.
Final Answer: (d)
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