T1 relaxation process is inherent in a sytem and to measure the relaxation time, the spin system is prepared in a higher energy non(thermal)equilibrium state. Thus the energy is released to the surrounding and if it is not dissipated to the lattice, it would possibly be availed for a useful work.
Thus this makes it possible to relate (conceptually) the chemical potential [partial molal free energy] to NMR.
The build up of magnetization with the T1 relaxation time requires that the spin system get to a higher energy state to attain a thermal equilibrium with the External Field perturbation. This if one considers as a work done on the spin system to increase its energy, then can this energy of magnetic field interaction with the spin be transformed into Chemically amenable energy? For example, magnetic field effects on the chemical reactions which can be monitored by a concomitant CIDINP, does it translate itself into description in terms of Chemical Potential? Only by considering the pro and con of these would conceptually clarify the stand on Chemical Potential and its relation to NMR parameters.
The experimental requirements to measure the chemical potential can thus be further thought about.
Aravamudhan