Strong Coupling in Nuclear Resonance Spectra. III. Systems Containing Many Equivalent Spins

The spin-coupling problem is discussed for systems of p+q nuclei falling into two groups ApBq where all members of a group are magnetically equivalent. The energies are given explicitly for p=1, arbitrary q, and formulas are given from which the transition intensities can be computed for this case. The results are applied to the proton resonance spectrum of isobutane (p=1, q=9), with the results δCH3—δCH=0.85 ppm, ACH–CH3=6.8 cps.