Problem 2 (20 points) The two figures below represent the energy levels for a mu
ID: 2305283 • Letter: P
Question
Problem 2 (20 points) The two figures below represent the energy levels for a multi-electron atom. (4) For the diagram on the left, draw all of the allowed absorption transitions of an electron from the ground state to the appropriate excited state. Calculate the wavelength of light for each line in the absorption spectrum. (12) For the diagram on the right, draw all of the allowed transitions of an electron from higher energy states to lower energy states. Calculate the wavelength of light for each line in the emission spectrum. a) b) Energy (eV) Energy (eV) 4.34 4.34 3.88 3.83 3d 4 3.83 3d.00 4 3s-3.37-3p43 3d-3.88 3.37 2 1.85 2 I .85 2 0.00 0.00 012s c) (4) Caleulate the velocity of a free electron required to excite a 2s electron to the 4s state via a collision.Explanation / Answer
For a multi-electron atom the selection rule is ?l = ±1
Transition energy difference (eV) wavelength (? nm = 1240/E(eV))
2s ?2p 1.85 670.27
2s?3p 3.83 323.76
2p?3s 1.98 626.26
2p?3d 2.03 610.84
2p?4s 2.49 498
3p?4s 0.51 2431.4