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In which of the following structures, th...

In which of the following structures, the coordination number of both the ions are same ?

A

Cesium chloride

B

Sodium chloride

C

Zinc sulphide

D

Sodium oxide

Text Solution

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The correct Answer is:
To determine which structures have the same coordination number for both ions, we will analyze the coordination numbers of the ions in the given ionic crystals: Cesium Chloride (CsCl), Sodium Chloride (NaCl), Zinc Sulphide (ZnS), and Sodium Oxide (Na2O). ### Step-by-Step Solution: 1. **Cesium Chloride (CsCl)**: - In CsCl, the Cs⁺ ions are located in the cubic voids of the FCC packing of Cl⁻ ions. - The coordination number of Cs⁺ is 8 (since it is surrounded by 8 Cl⁻ ions). - The coordination number of Cl⁻ is also 8 (since it is surrounded by 8 Cs⁺ ions). - **Conclusion**: The coordination numbers are the same (8:8). 2. **Sodium Chloride (NaCl)**: - In NaCl, Na⁺ ions occupy the octahedral voids in the FCC packing of Cl⁻ ions. - The coordination number of Na⁺ is 6 (since it is surrounded by 6 Cl⁻ ions). - The coordination number of Cl⁻ is also 6 (since it is surrounded by 6 Na⁺ ions). - **Conclusion**: The coordination numbers are the same (6:6). 3. **Zinc Sulphide (ZnS)**: - In ZnS, Zn²⁺ ions occupy half of the tetrahedral voids in the FCC packing of S²⁻ ions. - The coordination number of Zn²⁺ is 4 (since it is surrounded by 4 S²⁻ ions). - The coordination number of S²⁻ is also 4 (since it is surrounded by 4 Zn²⁺ ions). - **Conclusion**: The coordination numbers are the same (4:4). 4. **Sodium Oxide (Na2O)**: - In Na2O, O²⁻ ions are in FCC packing, and Na⁺ ions occupy tetrahedral voids. - The coordination number of O²⁻ is 8 (since it is surrounded by 8 Na⁺ ions). - The coordination number of Na⁺ is 4 (since each Na⁺ is surrounded by 4 O²⁻ ions). - **Conclusion**: The coordination numbers are not the same (8:4). ### Final Answer: The structures in which the coordination number of both ions is the same are: - Cesium Chloride (CsCl) - Sodium Chloride (NaCl) - Zinc Sulphide (ZnS)

To determine which structures have the same coordination number for both ions, we will analyze the coordination numbers of the ions in the given ionic crystals: Cesium Chloride (CsCl), Sodium Chloride (NaCl), Zinc Sulphide (ZnS), and Sodium Oxide (Na2O). ### Step-by-Step Solution: 1. **Cesium Chloride (CsCl)**: - In CsCl, the Cs⁺ ions are located in the cubic voids of the FCC packing of Cl⁻ ions. - The coordination number of Cs⁺ is 8 (since it is surrounded by 8 Cl⁻ ions). - The coordination number of Cl⁻ is also 8 (since it is surrounded by 8 Cs⁺ ions). ...
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