Another student was asking me about how to calculate L in a one-dimensional box, given that an electron with a wavelength of 418nm moves from energy-level n=2 to energy-level n=4.
Using, ΔE = Ef - Ei, I can say that ΔE = E4 - E2 = ((42 - 22) * h2 ) / (8mL2)
Rearranging for L is simple...