1. The problem statement, all variables and given/known data Consider the hydrogen atom in the 42F5/2 state. Take into account the effects of finestructure (spin-orbit coupling). (a) Write down the spectroscopic notation of the state that the 42F5/2 is degenerate with, in the absence of an external magnetic field. (b) Calculate the magnitude of the magnetic moment of the hydrogen atom in the 42F5/2 state, in units of the Bohr magneton µB. (c) Suppose the hydrogen atom in the 42F5/2 state is placed in an external magnetic field B. What will be the spacing in energy between adjacent magnetic substates, in terms of µBB, where again µB is the Bohr magneton? 3. The attempt at a solution So I actually managed to do all three of them. But the solutions I got for B and C were so simple I feel like I did something wrong like maybe used the wrong equation of forgot to add something. A) Degenerate with 42D5/2 B) I said that j =5/2, l = 3, s = 1/2. With this info I found the lande g factor to be = 0.857 Then I used μJ = |ge√(j(j+1) ħ/2m = 0.857µB√(5/2(5/2+1) = 2.54µB C) I said ΔE = ΔmjgµBB where Δmj = 1 between adjacent substates. So ΔE = 0.857µBB Was just hoping I could get a double check on these solutions and any tips if they were wrong.