Selection rules for Hydrogen

  • #1
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Why is there no allowed transition from the [itex]2s^2 S_{\frac{1}{2}}[/itex] state to the [itex]2p^2 P_{\frac{3}{2}} [/itex] state in the attached image? It seems to fulfill the selection rules [itex]\Delta l = \pm 1 [/itex] and [itex]\Delta j = 0, \pm 1[/itex]. This is for electric dipole transitions by the way.
 

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  • #2
I guess that only optical transitions are shown in the diagram while this transition would be somewhere in the radio frequency region.
 

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