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An ionic compound has a unit cell consis...

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

A

B

B

`A_(2)B`

C

`AB_(3)`

D

`A_(3)B`

Text Solution

Verified by Experts

The correct Answer is:
C

A ions are at eight corners of the cube. Therefore, the no. of A ions in the unit cell = `8/8=1`.
B ions are at the face centre of six faces. Therefore, its share in the unit cell = `6/2 = 3`. The formula is `AB_(3)`.
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