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Select the incorrect statement in a CsCl...

Select the incorrect statement in a CsCl crystal:

A

(a) `Cs^(+)` forms a simple cubic lattice, `Cl^(-)` forms a simple cubic lattice

B

(b) `Cl^(-)` occupies body centre of `Cs^(+)`

C

(c) `Cs^(+)` occupies body centre of `Cl^(-)`

D

(d) It is impossible for `Cl^(-)` to occupy body centre of `Cs^(+)` because the body centre void of `Cs^(+)` is smaller than `Cl^(-)`

Text Solution

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The correct Answer is:
To solve the question regarding the incorrect statement in a CsCl crystal, let's analyze the structure and the statements provided step by step. ### Step-by-Step Solution: 1. **Understanding the CsCl Structure**: - CsCl (Cesium Chloride) forms a simple cubic lattice structure. In this structure, Cs⁺ ions and Cl⁻ ions are arranged in a specific manner. 2. **Identifying the Positions of Ions**: - In the CsCl crystal, the Cs⁺ ions are located at the corners of the cube, and the Cl⁻ ions occupy the body center of the cube. This means that for every unit cell of CsCl, there are Cs⁺ ions at the eight corners and one Cl⁻ ion at the center. 3. **Evaluating the Statements**: - **Statement A**: "Cs⁺ forms a simple cubic lattice." - This statement is true because Cs⁺ ions occupy the corners of the cubic lattice. - **Statement B**: "Cl⁻ occupies the body center of Cs⁺." - This statement is also true as Cl⁻ ions are indeed located at the body center of the unit cell. - **Statement C**: "Cs⁺ occupies the body center of Cl⁻." - This statement is true as well, since in the arrangement, Cs⁺ ions can be considered to occupy the body center position relative to the Cl⁻ ions. - **Statement D**: "It is impossible for Cl⁻ to occupy the body center of Cs⁺." - This statement is incorrect. As established, Cl⁻ does occupy the body center of the Cs⁺ ions in the CsCl structure. 4. **Conclusion**: - The incorrect statement among the options provided is **Statement D**: "It is impossible for Cl⁻ to occupy the body center of Cs⁺." ### Final Answer: The incorrect statement in a CsCl crystal is: **"It is impossible for Cl⁻ to occupy the body center of Cs⁺."** ---
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