What Colors of Light Are Absorbed by Electrons in a 3.1 nm Infinite Well?

[GummyLizard]

Homework Statement

Determine what colors of visible light would be absorbed by electrons in an infinite well, N = 3.1 nm. The effective mass for an electron in GaAs is one-fifteenth of the standard electron mass.

Homework Equations

E_n = πh²/[2*N²*m_e/15]*n²

L = nλ/2

Ψ = √(2/L)sin(nπx/L)

The Attempt at a Solution

E_n = 5.4624*10^-27*n² ...but the units do not look correct, and I don't know how to go about the rest of the problem. I thought it had something to do with eventually finding the wavelength.

 

[drvrm]

.but the units do not look correct, and I don't know how to go about the rest of the problem. I thought it had something to do with eventually finding the wavelength.

check your calculation and putting up the values you get E(n) = E(0) . n^2
i think you have to search for the visible range absorption trying from n=1 to n2 value which yields say yellow wavelength photon energy. then if n2 comes out to be whole number one can think of quantum absorption;