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## Main Question or Discussion Point

disregarding the hyperfine structure and the lamb shift for the moment, spin orbit coupling says that 2S

if 2P splits into 3/2 and 1/2 does the 3D orbital split into 5/2, 3/2, and 1/2 and the 4F orbital into 7/2, 5/2, 3/2, and 1/2? google gets plenty of hits but they only talk about 2P.

this is just my own personal interest but you can move it to homework if you are so inclined.

_{1/2}and 2P_{1/2}have the same energy. do 2S_{0}and 2P_{0}have the same energy?if 2P splits into 3/2 and 1/2 does the 3D orbital split into 5/2, 3/2, and 1/2 and the 4F orbital into 7/2, 5/2, 3/2, and 1/2? google gets plenty of hits but they only talk about 2P.

this is just my own personal interest but you can move it to homework if you are so inclined.