Following the approach described in section 2.3.1 on page 10, use a tree diagram to predict the

Question:

Following the approach described in section 2.3.1 on page 10, use a tree diagram to predict the form of the multiplet expected for spin A when it is coupled to two other spins, B and C, with coupling constants JAB = 10 Hz and JAC = 2 Hz. Work out the frequency of each line and label it with the spin states of the coupled spins; assume that the multiplet is centred at 0 Hz.
Repeat the process for the cases (a) JAB = 10 Hz and JAC = 12 Hz, and (b) JAB = 10 Hz and JAC = 10 Hz. What special feature arises in the latter case?
Predict the form of the A spin multiplet expected when a fourth spin D is introduced, using the coupling constants JAB = 10 Hz, JAC - 2 Hz and JAD = 5 Hz.