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Which is true ? If radius ratio r^(+)//r...

Which is true ? If radius ratio `r^(+)//r^(-)`

A

is `0.732 "to" 0.414` co-ordination number is 6 and is octahedral

B

is above `0.732` , co-ordination number is 8 and is cubic

C

is `0.225 "to" 0.155` co-ordination number is 3 and is triangular

D

is `0.732 " to " 0.878`, co-ordination number is 8 and is cubic

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the radius ratio \( \frac{r^+}{r^-} \) and its implications on coordination number and structural arrangement, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Radius Ratio**: - The radius ratio \( \frac{r^+}{r^-} \) is the ratio of the radius of the cation (positive ion) to the radius of the anion (negative ion). 2. **Identifying Coordination Numbers and Structural Arrangements**: - We need to refer to the established relationships between the radius ratio and the coordination number, as well as the structural arrangement. This can be summarized in a table format: | Radius Ratio Range | Coordination Number | Structural Arrangement | |--------------------------|---------------------|------------------------| | 0.155 to 0.225 | 3 | Triangular | | 0.225 to 0.414 | 4 | Tetrahedral | | 0.414 to 0.732 | 6 | Octahedral | | 0.732 to 1.0 | 8 | Cubic | 3. **Analyzing the Statements**: - Now we will analyze the given statements based on the radius ratio ranges: - **Statement 1**: If the radius ratio is between 0.414 to 0.732, then the coordination number is 6 and the structure is octahedral. - This is **correct**. - **Statement 2**: If the radius ratio is above 0.732, then the coordination number is 8 and the structure is cubic. - This is **correct**. - **Statement 3**: If the radius ratio is between 0.155 to 0.225, then the coordination number is 3 and the structure is triangular. - This is **correct**. - **Statement 4**: If the radius ratio is between 0.73 to 0.878, then the coordination number is 8 and the structure is cubic. - This is **incorrect** because the correct range for coordination number 8 is 0.732 to 1.0. 4. **Conclusion**: - The true statements are Statements 1, 2, and 3. Therefore, the correct answer is that Statements 1, 2, and 3 are true. ### Final Answer: The true statements are Statements 1, 2, and 3. ---
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