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Looking at the Wikipedia page for the Lande g-factor, I'm a bit confused. I thought that g_I\approx5.585, that of the proton, but then there is the line saying that
https://en.wikipedia.org/wiki/Landé_g-factor
It makes sense that the nuclear and Bohr magnetons would differ by the mass ratio, but I thought g_s \approx 2, g_L=1, and g_I\approx5.585. Then the additional factors in the Lande calculation would account for the different J,S,F.
This last approximation is justified because g_I is smaller than g_j by the ratio of the electron mass to the proton mass.
https://en.wikipedia.org/wiki/Landé_g-factor
It makes sense that the nuclear and Bohr magnetons would differ by the mass ratio, but I thought g_s \approx 2, g_L=1, and g_I\approx5.585. Then the additional factors in the Lande calculation would account for the different J,S,F.