### Phys 4910 Spectroscopy Spring 2018 Assignment 8

1. For each of the following terms, what are the possible levels?
1. 1D
2. 5H
3. 2F
4. 1H
5. 5P
6. 5P
2. At low resolution there is a transition from a 5P term (upper) to a 5D term (lower) at 450 nm. At higher resolution the fine structure due to spin orbit coupling becomes apparent. Assume perfect LS coupling with
1. for the 5P term the spin orbit coupling is given by E(J) = 127 [ J(J+1) - L(L+1) - S(S+1) ]
2. for the 5D term the spin orbit coupling is given by E(J) = 79 [ J(J+1) - L(L+1) - S(S+1) ]
where the units of E(J) is cm-1 for both terms. What are the wavelengths of all the allowed transition which make up this 450 nm line? Neglect the difference between air wavelengths and vacuum wavelengths. Hint: first draw a diagram showing all the allowed transitions from one level from the 5P term to one from the 5D term. Also the calculations are repetitive, and the use of a spreadsheet (or Maple) can cut down on the amount of work you have to do quite considerably.
(Note: the spin orbit coupling is only a perturbation, and so all the wavelengths should be close to 450 nm. If you get wavelengths which are significantly different, then you have made a mistake.) 