Question:
What is the type of hole occupied if limiting value of $\dfrac{r^+}{r^-}$ is in the range of $0.225$ to $0.414$ ?
What is the type of hole occupied if limiting value of $\dfrac{r^+}{r^-}$ is in the range of $0.225$ to $0.414$ ?
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Radius ratio ranges: Tetrahedral (0.225–0.414), Octahedral (0.414–0.732).
Updated On: Feb 2, 2026
- Octahedral
- Cubic
- Planar triangular
- Tetrahedral
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The Correct Option is D
Solution and Explanation
Step 1: Radius ratio rule.
The type of interstitial hole occupied by a cation depends on the radius ratio $\dfrac{r^+}{r^-}$.
Step 2: Given range.
For tetrahedral voids, the radius ratio lies between $0.225$ and $0.414$.
Step 3: Identification of hole type.
Since the given radius ratio falls in this range, the cation occupies a tetrahedral hole.
Step 4: Conclusion.
Therefore, the correct answer is Tetrahedral.
The type of interstitial hole occupied by a cation depends on the radius ratio $\dfrac{r^+}{r^-}$.
Step 2: Given range.
For tetrahedral voids, the radius ratio lies between $0.225$ and $0.414$.
Step 3: Identification of hole type.
Since the given radius ratio falls in this range, the cation occupies a tetrahedral hole.
Step 4: Conclusion.
Therefore, the correct answer is Tetrahedral.
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