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

JamiaJamia 2010

Solution:

Number of A ions at the corners of a cube (per unit cell) $ =8\times \frac{1}{8}=1 $ Number of B ions at the face centres of a cube (per unit cell) $ =6\times \frac{1}{2}=3 $ Hence, the empirical formula of the compound is $ A{{B}_{3}} $ .