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An ionic compound has a unit cell consisting of A ions at the corners of a cube and B ions on the centres of the faces of the cube. The empirical formula for this compound would be

1. A B
2. A2 B
3. A B3
4. A3 B

Correct answer: A B3

Solution

A ions at 8 corners contribute 8*(1/8)=1; B ions at 6 face centers contribute 6*(1/2)=3. The empirical formula is AB3.

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