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In which of the following crystals, alte...

In which of the following crystals, alternate tetrahedral voids are occupied?

A

`NaCl`

B

`ZnS`

C

`CaF_(2)`

D

`Na_(2)O`

Text Solution

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The correct Answer is:
To determine in which of the following crystals alternate tetrahedral voids are occupied, we will analyze each option provided: ### Step 1: Understanding Tetrahedral Voids Tetrahedral voids are spaces within a crystal lattice where smaller ions can fit. In a face-centered cubic (FCC) lattice, there are two tetrahedral voids for every FCC unit cell. ### Step 2: Analyzing Each Option 1. **Option A: NaCl** - In NaCl, the Cl⁻ ions form an FCC lattice, and the Na⁺ ions occupy octahedral voids. Therefore, NaCl does not occupy tetrahedral voids. 2. **Option B: ZnS** - In ZnS, the S²⁻ ions form an FCC lattice. The Zn²⁺ ions occupy alternate tetrahedral voids. This means that in ZnS, alternate tetrahedral voids are indeed occupied. 3. **Option C: CaF₂** - In CaF₂, the Ca²⁺ ions form an FCC lattice, while the F⁻ ions occupy tetrahedral voids. However, it does not occupy alternate tetrahedral voids. 4. **Option D: Na₂O** - In Na₂O, the O²⁻ ions form an FCC lattice, and the Na⁺ ions occupy tetrahedral voids. However, it does not specifically occupy alternate tetrahedral voids. ### Conclusion From the analysis, the only crystal where alternate tetrahedral voids are occupied is **ZnS**. ### Final Answer The answer is **Option B: ZnS**. ---

To determine in which of the following crystals alternate tetrahedral voids are occupied, we will analyze each option provided: ### Step 1: Understanding Tetrahedral Voids Tetrahedral voids are spaces within a crystal lattice where smaller ions can fit. In a face-centered cubic (FCC) lattice, there are two tetrahedral voids for every FCC unit cell. ### Step 2: Analyzing Each Option 1. **Option A: NaCl** - In NaCl, the Cl⁻ ions form an FCC lattice, and the Na⁺ ions occupy octahedral voids. Therefore, NaCl does not occupy tetrahedral voids. ...
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