The limiting radius ratio for tetrahedral voids has the range:

Options

A. `0.414` to `0.732 `
B. `0.225` to `0.414 `
C. `0.155` to `0.225 `
D. 0 to `0.155 `

Answer

To find the limiting radius ratio for tetrahedral voids, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Tetrahedral Voids**:
- Tetrahedral voids are spaces formed in a crystal lattice where a smaller ion can fit in the empty space created by four larger ions. The arrangement of these ions forms a tetrahedral shape.

2. **Defining Radius Ratio**:
- The radius ratio is defined as the ratio of the radius of the cation (smaller ion) to the radius of the anion (larger ion). This ratio helps determine whether a particular ion can fit into a given void.

3. **Identifying the Range for Tetrahedral Voids**:
- The limiting radius ratio for tetrahedral voids is known to be between 0.225 and 0.414. This means that for a cation to fit into a tetrahedral void, its radius must be between 22.5% and 41.4% of the radius of the anion.

4. **Conclusion**:
- Therefore, the limiting radius ratio for tetrahedral voids is 0.225 to 0.414.

### Final Answer:
The limiting radius ratio for tetrahedral voids has the range of **0.225 to 0.414**.

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