# Problem: An electron is trapped in a "quantum well" that confines it to a narrow region in one dimension. The electron's minimum energy is 0.19 meV. What's the width of the well?

###### FREE Expert Solution

The width of a well and the energy are related by:

$\overline{){{\mathbf{E}}}_{{\mathbf{n}}}{\mathbf{=}}\frac{{\mathbf{h}}^{\mathbf{2}}{\mathbf{n}}^{\mathbf{2}}}{\mathbf{8}\mathbf{m}{\mathbf{a}}^{\mathbf{2}}}}$

a is the width of the well.

Take the first energy level, n = 1

###### Problem Details

An electron is trapped in a "quantum well" that confines it to a narrow region in one dimension. The electron's minimum energy is 0.19 meV. What's the width of the well?