The Zeeman effect occurs in sodium just as in hydrogen—sodium's lone 3s valence electr...

The Zeeman effect occurs in sodium just as in hydrogen—sodium's lone 3s valence electron behaves much as hydrogen's 1s. Suppose sodium atoms are immersed in a 0.1 T magnetic field.

(a) Into how many levels is the 3p1/2 level split?

(b) Determine the energy spacing between these states.

(c) Into how many lines is the 3pl/2 to 3sJ/2 spectral line split by the field?

(d) Describe quantitatively the spacing of these lines.

(e) The sodium doublet (589.0 nm and 589.6 nm) is two spectral lines, →3s½ and 3p½→3s½ which are split according to the two different possible spin-orbit energies in the 3p state (see Exercise 60). Determine the splitting of the sodium doublet (the energy difference between the two photons). How does it compare with the line splitting of part (d), and why?