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A crystal lattice with alternate +ve "a...

A crystal lattice with alternate `+ve "and "-ve`ions has radius ratio of `0.524`.Its coordination number is

A

4

B

3

C

6

D

12

Text Solution

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The correct Answer is:
To determine the coordination number of a crystal lattice with a radius ratio of 0.524, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Radius Ratio**: The radius ratio (r+/r-) is the ratio of the radius of the cation (positive ion) to the radius of the anion (negative ion). In this case, the radius ratio is given as 0.524. 2. **Identify the Coordination Number Ranges**: According to the radius ratio rules, we have the following ranges for coordination numbers: - If radius ratio < 0.155, coordination number = 2 - If 0.155 < radius ratio < 0.225, coordination number = 3 - If 0.225 < radius ratio < 0.414, coordination number = 4 - If 0.414 < radius ratio < 0.732, coordination number = 6 - If 0.732 < radius ratio < 1, coordination number = 8 - If radius ratio ≥ 1, coordination number = 12 3. **Locate the Given Radius Ratio**: The given radius ratio is 0.524. We need to find out which range it falls into. 4. **Determine the Coordination Number**: Since 0.524 falls between 0.414 and 0.732, we can conclude that the coordination number is 6. 5. **Final Answer**: The coordination number for a crystal lattice with a radius ratio of 0.524 is **6**.
To determine the coordination number of a crystal lattice with a radius ratio of 0.524, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Radius Ratio**: The radius ratio (r+/r-) is the ratio of the radius of the cation (positive ion) to the radius of the anion (negative ion). In this case, the radius ratio is given as 0.524. 2. **Identify the Coordination Number Ranges**: According to the radius ratio rules, we have the following ranges for coordination numbers: - If radius ratio < 0.155, coordination number = 2 ...
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