Chem 455 Spring 2015 Homework 9 due Mon Jun 1 5:00pm (in box 71 on 3rd floor)

1. Zeeman effect. Calculate the energy splitting, in eV, between the two 1s 2S1/2 (s 1/2, l 0, j 1/2)

   states of a hydrogen atom placed in an external magnetic field that is parallel to the z axis and has a

   strength of T. (The g factor is ). The energies of the two states are 0

   .

2. Spin-orbit coupling. One can derive the following formula for the total energy of a one-electron

   atom state including spin-orbit coupling:

                                            2 4  4                  for     1/2
   
                 so     3                      {
   
     ...