If the radius of `Br^(-)` ion is 0.182 nn, how large can a cation be fit in its tetrahedral holes ?

Explanation

To determine how large a cation can be to fit in the tetrahedral holes formed by bromide ions (Br⁻) with a radius of 0.182 nm, we can follow these steps:

### Step 1: Understand the radius ratio for tetrahedral holes
The radius ratio for a cation (R⁺) to an anion (R⁻) in a tetrahedral hole is given by the formula:
\[ 0.225 < \frac{R^+}{R^-} < 0.414 \]

### Step 2: Calculate the minimum radius of the cation (R⁺)
Using the lower limit of the radius ratio:
...