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An empirical formula of a solid is . If the A atoms form an FCC lattice, how must the B atoms be disSolid State Chemistry Question

Question

An empirical formula of a solid is $AB_2$. If the A atoms form an FCC lattice, how must the B atoms be distributed to satisfy this stoichiometry?

Answer: B

💡 Solution & Explanation

If A atoms form an FCC lattice, there are effectively $4$ A atoms per unit cell. To get $AB_2$, there must be $8$ B atoms per unit cell. An FCC unit cell has $8$ tetrahedral voids, so B must occupy all tetrahedral voids.

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