The construction of term symbols in the spinorbit coupled representation (i.e. levels) is an extension of the procedure for deriving term symbols in the spinorbit uncoupled representation (i,e, terms).
For the p^{2} configuration of the carbon atom, we have shown in the previous article that the terms are ^{1}D, ^{3}P and ^{1}S with degeneracies of 5, 9 and 1 respectively. The total degeneracy of 15 corresponds to 15 microstates in the uncoupled representation, which are the basis states for the coupled representation. Since the total number of microstates describing a system is independent of the chosen representation, we have 15 coupled states after linearly combining the uncoupled basis states. The procedure to construct levels is to use the ClebschGordan series, which describes the allow values of the total angular momentum number for a given value of and a given value of , while ensuring that the total number of microstates (degeneracy) of each term (e.g. ^{3}P) is equal to the total number of microstates of the associated levels (e.g. ^{3}P_{2, }^{3}P_{1}, ^{3}P_{0}), i.e. .
Term 
Degeneracy  Level 
Degeneracy 

^{1}D 
5  2 = 2 + 0  ^{1}D_{2} 
5 
^{3}P 
9 
2 = 1 + 1  ^{3}P_{2}  5 
^{3}P_{1} 
3 

^{3}P_{0} 
1  
^{1}S  1  0 = 0 + 0  ^{1}S_{0} 
1 
For the p^{3} configuration of nitrogen, the terms are ^{4}S, ^{2}D, ^{2}P and the levels are:
Term 
Degeneracy  Level  Degeneracy  
^{4}S  4  3/2 = 0 + 3/2  ^{4}S_{3/2} 
4 
^{2}D 
10  5/2 = 2 + 1/2  ^{2}D_{5/2}  6 
^{2}D_{3/2} 
4 

^{2}P 
6  3/2 = 1 + 1/2  ^{2}P_{3/2}  4 
^{2}P_{1/2} 
2 
You’ll notice that the degeneracies for both carbon and nitrogen are not fully lifted (i.e. each level may contain more than one state) when spinorbit interactions are considered. Other effects, like an external magnetic field, are required to completed lift the degeneracy of an atom.