An excited state of carbon has a configuration (1s)?(2s)-(2p)(3p). (a) Determine all of the possible quantum numbers L, S and J and express these as term symbols. [6] [2] (b) Why are there many more combinations for this state than for the ground state configuration, (1s)?(25)? (2p)?? (c) One of the electronic configurations of carbon has an angular momentum quantum number, J = 1. Likewise, the nucleus has an angular momentum quantum number, and in the 11C isotope this is I = 3/2. Suppose that a 'hyperfine interaction' exists between the two, splitting the J = 1 state into sub-states, each with quantum number, F, for the grand total angular momentum, where F=I+J. What would be the possible values of F? [3]