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Question: An ionic compound has a unit cell consisting of A ions at the corners of a cube and B ions on the ce...

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

A

AB

B

A2B

C

AB3

D

A3B

Answer

AB3

Explanation

Solution

Number of A ions per unit cell = 18\frac{1}{8}× 8 = 1

Number of B ions per unit cell = 12\frac{1}{2}× 6 = 3

Empirical formula = AB3.