What is the relationship between FS and HFS in the 3s3p Configuration?

AI Thread Summary
The discussion focuses on the relationship between Fine Splitting (FS) and Hyperfine Splitting (HFS) in the 3s3p configuration. The user understands FS, where the 3P state splits into J=0, 1, and 2 levels, but struggles to visualize where HFS fits into this framework. They acknowledge that I and J couple to form F levels, leading to MF levels, but are unclear on how to represent this in their diagram. Additionally, they inquire about the degeneracy of the Mj levels without HFS and seek clarification on the hyperfine levels for the 1s orbital. The conversation highlights the complexities of visualizing these quantum mechanical concepts.
Henk
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I'm having some problems with the Fine and Hyperfine splitting (FS and HFS). For example the 3s3p Configuration, I understand the FS:
*****************************_______Mj=1
************1P________J=1*****_______ Mj=0
*****************************_______ Mj=-1
*
*
************3P______ Is split into J=0,1,2 and they are split into the Mj levels
*
*
3s3p_____

But where then is the HFS. I understand that I and J couple to F and that gives MF-levels but I don't know where to put in the picture above.

edit: the picture isn't very clear, sorry had to add some stars.
 
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Henk said:
I'm having some problems with the Fine and Hyperfine splitting (FS and HFS). For example the 3s3p Configuration, I understand the FS:
*****************************_______Mj=1
************1P________J=1*****_______ Mj=0
*****************************_______ Mj=-1
*
*
************3P______ Is split into J=0,1,2 and they are split into the Mj levels
*
*
3s3p_____

But where then is the HFS. I understand that I and J couple to F and that gives MF-levels but I don't know where to put in the picture above.

edit: the picture isn't very clear, sorry had to add some stars.
What is the degeneracy of the Mj levels in the absense of the HFS ?

Perhaps, I should ask this first : Do you know where to put the hyperfine levels for the 1s orbital ?
 
For the 1s Orbital: L=0, S=1/2 thus J=1/2. That means the level has FS for J = 1/2 and J = -1/2. I don't know I so I can't give the F values however I suppose that the J-levels are splitted into the F-levels. And that if there is an external magnetic field (weak) the F-levels are splitted into 2F+1 Mf levels. Is this correct?
 
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