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In CsCl structure, each 'Cs^+' ion is su...

In `CsCl` structure, each 'Cs^+' ion is surrounded by

A

`4Cl^(-)` ions

B

`6Cl^(-)` ions

C

`8Cl^(-)` ions

D

`12Cl^(-)` ions

Text Solution

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The correct Answer is:
To determine how many chloride ions (Cl^-) surround each cesium ion (Cs^+) in the cesium chloride (CsCl) structure, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Structure of CsCl**: - Cesium chloride crystallizes in a cubic structure. It is often described as having a body-centered cubic (BCC) arrangement. 2. **Identify the Positions of Ions**: - In the CsCl structure, the Cs^+ ions are located at the center of the cube (the body center), while the Cl^- ions occupy the corners of the cube. 3. **Count the Chloride Ions Surrounding Cesium**: - Each corner of the cube is occupied by a Cl^- ion. In a cubic unit cell, there are 8 corners. - Each Cl^- ion at the corner is shared among 8 adjacent unit cells, meaning that each contributes 1/8 of an ion to the unit cell. 4. **Calculate the Total Contribution of Cl^- Ions**: - Since there are 8 corners, the total contribution of Cl^- ions in one unit cell is: \[ 8 \text{ corners} \times \frac{1}{8} = 1 \text{ Cl}^- \text{ ion} \] - However, since we are looking at the coordination of the Cs^+ ion, we need to consider how many Cl^- ions surround it directly. 5. **Determine the Coordination Number**: - In the CsCl structure, each Cs^+ ion is surrounded by 8 Cl^- ions located at the corners of the cube. Therefore, the coordination number of Cs^+ in CsCl is 8. 6. **Conclusion**: - The correct answer to the question is that each Cs^+ ion is surrounded by **8 Cl^- ions**. ### Final Answer: Each Cs^+ ion in CsCl is surrounded by **8 Cl^- ions**.
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