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A compound is formed by cation C and anion A. The anions form hexagonal close packed (hcp) lattice and the cations occupy 75% of octahedral voids. The formula of the compound is:

1. C2A3
2. C3A2
3. C3/4A4
4. C4/3A3

Correct answer: C3A2

Solution

In an hcp lattice, the number of anions (A) is equal to the number of lattice points, i.e., 1. The number of octahedral voids is also equal to the number of lattice points. Since 75% of octahedral voids are occupied by cations (C), the ratio of cations to anions is 3:2, giving the formula C3A2.

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