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


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A at the corners thus $A = \large\frac{8}{8}$
$\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\Rightarrow = 1$
B at the centre thus B = $\large\frac{1}{2}\times6$
$\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\Rightarrow = 3$
Thus the formula is $AB_3$
Hence answer is (d)
answered Feb 17, 2014 by sharmaaparna1

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