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A compound is formed by elements A and B. Atoms of A are at the corners of a cubic unit cell and B aSolid State Chemistry Question

Question

A compound is formed by elements A and B. Atoms of A are at the corners of a cubic unit cell and B are at the face centres. If one A atom is missing from a single corner, the empirical formula is:

Answer: A

💡 Solution & Explanation

A atoms at $8$ corners normally contribute $8\times\frac18=1$. If one corner A atom is missing, A contribution becomes $7\times\frac18=\frac78$. B atoms at $6$ face centres contribute $6\times\frac12=3$. Ratio $A:B=\frac78:3=7:24$, so the empirical formula is $A_7B_{24}$.

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