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In which of the following crystals alter...

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

A

NaCl

B

ZnS

C

`CaF_(2)`

D

`Na_(2)O`

Text Solution

AI Generated Solution

The correct Answer is:
To determine which crystals have alternate tetrahedral voids occupied, we will analyze the structures of various compounds based on the information provided in the video transcript. ### Step-by-Step Solution: 1. **Understanding Tetrahedral Voids**: - Tetrahedral voids are formed in a crystal lattice when four atoms (or ions) surround a central void. In a face-centered cubic (FCC) lattice, there are 8 tetrahedral voids per unit cell. 2. **Identifying the Compounds**: - The compounds mentioned in the video are: - Zinc Blende (ZnS) - Calcium Fluoride (CaF₂) - Sodium Chloride (NaCl) - Sodium Oxide (Na₂O) 3. **Analyzing Each Compound**: - **Zinc Blende (ZnS)**: - In ZnS, the S²⁻ ions form an FCC lattice, and the Zn²⁺ ions occupy alternate tetrahedral voids. Therefore, ZnS has alternate tetrahedral voids occupied. - **Calcium Fluoride (CaF₂)**: - In CaF₂, the Ca²⁺ ions occupy the FCC lattice, while the F⁻ ions occupy all the tetrahedral voids. Thus, all tetrahedral voids are occupied, not alternate ones. - **Sodium Chloride (NaCl)**: - NaCl has a face-centered cubic structure where Na⁺ ions occupy octahedral voids, and Cl⁻ ions occupy tetrahedral voids. However, not all tetrahedral voids are occupied, and they are not occupied alternately. - **Sodium Oxide (Na₂O)**: - In Na₂O, the O²⁻ ions form an FCC lattice, and the Na⁺ ions occupy tetrahedral voids. Similar to CaF₂, all tetrahedral voids are occupied, not alternate ones. 4. **Conclusion**: - The only compound from the list that has alternate tetrahedral voids occupied is **Zinc Blende (ZnS)**. ### Final Answer: **Zinc Blende (ZnS)** is the crystal in which alternate tetrahedral voids are occupied. ---
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