Things to keep in mind
1) The precession frequency of a nucleus only depends on the isotope and the magnetic field
Typical NMR magnet is ~ 15 Tesla -> protons precess at ~ 500 MHz
2) NMR measures the TOTAL magnetization M = average of billions of spins
3) M is small (think 10-100 people in NYC)
Boltzmann distribution:
Population at equilibrium = exp(-Energy/kT) / Sum of all {exp(-Energy/kT}
4) NMR is a very insensitive technique