An electron is confined to a one - dimensional, infinitely deep potential energy well of width L = 100 pm. (a) What is the smallest amount of energy the electron can have? (A trapped electron cannot have zero energy.)

Explanation

To solve the problem of finding the smallest amount of energy that an electron can have when confined in a one-dimensional infinitely deep potential well of width \( L = 100 \, \text{pm} \), we will follow these steps:

### Step 1: Understand the Formula for Energy in an Infinite Potential Well
The energy levels of an electron in a one-dimensional infinite potential well are given by the formula:
\[ E_n = \frac{n^2 h^2}{8 m L^2} \]
where:
...