NMR Spectra and Shielding

It is noteworthy that the 1/ T dependence of the paramagnetic susceptibility agrees with experiment. 

The spin 7/i of a magnetic nucleus h gives rise to a (point) magnetic moment 

Consider first the interaction of a bare nucleus with an external magnetic field with induction B — Q 0 B)  

This spin hamiltonian causes a splitting of the 7, M) substates of an energy level (see Fig. 8.1). 

For a nucleus with spin 1/2, as a proton, there would only be two energy levels and one transition. Inserting the Rvalue for a proton, the frequency of the absorbed electromagnetic radiation is found to be 

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