Charge-to-mass ratio with Zeeman Effect

1. The problem statement, all variables and given/known data
I'm supposed to determine e/m using Zeeman effect.
B=0.45 T
Difference between two spectral lines is also known (0.649x10^10 Hz)

2. Relevant equations
Normal or anomalous Zeeman effect? How you know it?
I'm guessing normal, so
[tex]\Delta E = m_{l} \frac{e \hbar}{2m_{e}}B[/tex]

[tex]\Delta E = h \Delta f[/tex]


[tex]\frac{e}{m_{e}} = \frac{h \Delta f2m_{e}}{m_{l} \hbar B} [/tex]

3. The attempt at a solution

Well the attempt at solution is the equations I just wrote, are they right so far?

But the problem is, how I get [itex]m_{l}[/itex]? I think it's [tex]2l+1[/tex], but how I get [itex]l[/itex] from the know data then?
Last edited:
any tip would be much appreciated, I got exam tomorrow and I want to understand this :P

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