Hey, This question is from Eisberg's QM textbook, I just want to make sure I understand this properly, http://img641.imageshack.us/img641/5475/86854232.jpg [Broken] Using S' as the total spin, J total angular momentum, and L total orbital momentum, For the first case, 2S3/2 2S'+1 = 2. so S' = 1/2 L = 0, since S corresponds to L=0 J = 3/2, but J = S' + L = 1/2 ≠ 3/2 So this is impossible? 3D2 S'=1 L=2 J = 1,2,3 and in this case J = 3 So possible? Finally, 5P3 L=1 S'=2 J=1,2,3 and in this case J = 3 Possible These three numbers are the quantum numbers the question wants right? Not little l, s and like the possible magnetic quantum numbers? Is this correct? I feel like its not..