Electron in a one-dimensional box emitting a photon

[Ezequiel]

Homework Statement

An electron in a one-dimensional box emits a photon when it moves from energy level E₄ to E₂. Find the wavelength of the emitted photon.

Length of the box L = 0.300 nm

Homework Equations

E_n = n²E₁
E₁ = $\frac{h^2}{8mL^2}$

λ = $\frac{hc}{E_i - E_f}$

The Attempt at a Solution

E₁ = 4.18 eV
E₂ = 2² E₁ = 16.7 eV
E₄ = 4² E₁ = 66.9 eV

So, λ = $\frac{hc}{66.9 - 16.7}$ = 24.7 nm

Is this right?

 

[TSny]

Looks good to me. Nice work.

 

[Ezequiel]

Thanks!