A compound is formed by cation C and anion A. The anions form hexagona...
Explanation:
To determine the formula of the compound, we need to analyze the arrangement of the cations and anions in the crystal lattice.
1. Given Information:
- Anions form a hexagonal close-packed (hcp) lattice.
- Cations occupy 75% of octahedral voids.
2. Hexagonal Close-Packed (HCP) Lattice:
In a hcp lattice, the anions are arranged in a close-packed manner with a hexagonal arrangement in one plane and the third layer directly above the first layer. Each anion is surrounded by six neighboring anions in a hexagonal arrangement.
3. Octahedral Voids:
Octahedral voids are the spaces between the anions in a hcp lattice. These voids are located above and below each hexagonal close-packed layer, forming a repeating pattern.
4. Cations in Octahedral Voids:
According to the given information, the cations occupy 75% of the octahedral voids. This means that for every four octahedral voids, three are occupied by cations.
5. Determining the Formula:
Based on the arrangement of cations and anions, we can determine the formula of the compound.
- Each cation occupies 75% of the octahedral voids, so the ratio of cations to octahedral voids is 3:4.
- Each octahedral void is surrounded by six anions.
- In the formula, the ratio of cations to anions should be such that the charges balance out.
Considering the information above, the formula of the compound is C
3A
4. This means that there are three cations (C) for every four anions (A), ensuring charge neutrality in the compound.
Therefore, the correct answer is option 'C' (C
3A
4).