- #1

- 6

- 0

Problem: An electron is confined to an infinitely deep potential well of width 0.120 nm.

a.) Calculate its ground state energy, E1

b.)If the electron makes a transition from the n=3 state to the n=2 state, how much energy is carried away by the emitted photon?

c.)What is the wavelength of this photon?

equations:

a.) [tex]E_1 = \frac{pi^2 (hbar c)^2}{2M_e C^2 a^2}[/tex]

b.) [tex]E_\gamma = E_3 - E_2[/tex]

c.) [tex]\lambda = \frac{hc}{E_\lambda}[/tex]

My attempt:

a.) using hbar*c = 197 ev*nm and MeC^2 = 511000 ev i get a value of 26.02ev for E1

b.) using the same equation as above for the n=3 and n=2 states and subtracting I get 130.13ev

c.) using hc = 1240 ev*nm I get an answer of 9.53 nm which doesn't seem right to me. I feel like the photon should have a larger wavelength.