An ionic compound has a unit cell consisting of A ions at the...

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

Options

A $\mathrm{A}\mathrm{~B}$
B $\mathrm{A}_2 \mathrm{~B}$
C $\mathrm{A}\mathrm{~B}_3$
D $\mathrm{A}_3 \mathrm{~B}$

Correct answer

C. $\mathrm{A}\mathrm{~B}_3$

Step-by-step solution

\frac{1}{8} \times

8=1 (Corner)

\mathrm{B}=\frac{1}{2} \times 6=3

(Face centre)

\therefore \mathrm{AB}_3

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