Polonium crystallises in a simple cubic structure. If the edge length of the unit cel is 336 pm, calculate the atomic radius of polonium.

Explanation

To solve the problem of finding the atomic radius of polonium, which crystallizes in a simple cubic structure with a given edge length, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Structure**: In a simple cubic structure, the atoms are located at the corners of the cube. Each corner atom contributes 1/8th of its volume to the unit cell.

2. **Identify the Relationship**: The relationship between the edge length (A) of the unit cell and the atomic radius (R) in a simple cubic structure is given by the formula:
\[ A = 2R \]
This means that the edge length is twice the atomic radius.

3. **Given Data**: The edge length (A) of the unit cell is given as 336 pm (picometers).

4. **Rearranging the Formula**: To find the atomic radius (R), we can rearrange the formula:
\[ R = \frac{A}{2} \]

5. **Substituting the Values**: Now, substitute the value of A into the equation:
\[ R = \frac{336 \text{ pm}}{2} \]

6. **Calculating the Atomic Radius**: Perform the calculation:
\[ R = 168 \text{ pm} \]

7. **Final Answer**: Therefore, the atomic radius of polonium is 168 pm.

### Summary:
The atomic radius of polonium, which crystallizes in a simple cubic structure with an edge length of 336 pm, is 168 pm.