Let us use the Pauli exclusion principle, and the combination of angular momenta, to find the possible states which may arise when more than one electron in an atom are in the same p-shell. Express your answers for the allowed states in the spectroscopic notation: 2S+1LJ, where S is the total spin of the electrons under consideration, L is the total orbital angular momentum, and J is the total angular momentum of the electrons.
(a) List the possible states for 2 electrons in the same p-shell.
(b) List the possible states for 3 electrons in the same p-shell.
(c) List the possible states for 4 electrons in the same p-shell. Hint: before you embark on something complicated for this part, think a bit!