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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

6

C

8

D

12

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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. **Understanding 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). This ratio helps us determine the coordination number of the ions in the crystal lattice. 2. **Identifying the Range for Coordination Number**: We need to compare the given radius ratio (0.524) with known ranges for coordination numbers: - If the radius ratio (r+/r-) > 0.732, coordination number = 8 (cubic structure). - If 0.414 < radius ratio ≤ 0.732, coordination number = 6 (octahedral structure). - If 0.225 < radius ratio ≤ 0.414, coordination number = 4 (tetrahedral structure). - If 0.155 < radius ratio ≤ 0.225, coordination number = 3 (triangular structure). - If radius ratio ≤ 0.155, coordination number = 2 (linear structure). 3. **Finding the Correct Coordination Number**: Since the given radius ratio is 0.524, we can see that it falls within the range of 0.414 to 0.732. Therefore, the coordination number corresponding to this range is 6. 4. **Conclusion**: The coordination number for the crystal lattice with a radius ratio of 0.524 is 6. ### Final Answer: The coordination number is **6**. ---
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