Atomic transition - What does this notation mean?

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SUMMARY

The discussion centers on the notation used in laser cooling, specifically the D_2 transition represented as "3S_{1/2} \rightarrow 3P_{3/2}". This notation indicates a transition between quantum states of an atom, where "3" denotes the principal quantum number, "S" and "P" refer to the azimuthal quantum numbers, and "1/2" and "3/2" represent the total electronic angular momentum. The transition signifies a change from a state with zero orbital angular momentum (L=0) to one with one unit of orbital angular momentum (L=1), and from total angular momentum J=1/2 to J=3/2. The term D_2 refers to a specific transition in the context of atomic structure.

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Hello all, I've been reading about laser cooling, and when they speak of tuning the laser to a atomic transition, they write this (for example) as
"The laser cooling was performed on the [tex]D_2[/tex] transition ([tex]3S_{1/2} \rightarrow 3 P_{3/2}[/tex])".

But what do they mean by that notation? I'm clueless as what it is supposed to mean as it doesn't look like the spectroscopic notation (i.e the number 3 is NOT in superscript).

Jon
 
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I believe that the 3 is the principal quantum number, S and P are related to the suborbtial or azimuthal quantum number, and 1/2 and 3/2 are (IIRC) the total electronic angular quantum momentum numbers which parameterize the total angular momentum of a given electron, by combining its orbital angular momentum and its intrinsic angular momentum (i.e., its spin).

Has one studied the quantum numbers of atomic electrons?
 
ok so the
[tex]3 S_{1/2} \rightarrow 3 P_{3/2}[/tex]
means the same as for a normal transition, except that this is in the case of a composite system? i.e the transition is L=0 to L=1 and J=1/2 to J=3/2.

What is then meant by [tex]D_2[/tex]? And how does this relate to the above?
 

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