The Magnetic Moment of the Proton

The molecular beam magnetic resonance method has been employed to measure, in the same magnetic field, the frequency corresponding to a reorientation of the proton in the molecule NaOH and the frequency corresponding to a transition between certain of the h.f.s. levels of the ground state of both the atoms ${\mathrm{Cs}}^{133}$ and ${\mathrm{In}}^{115}$. From these data are calculated the ratio of the $g$ factor of the proton, $g_H$, to the $g$ factor of total electronic angular momentum, $g_J$, with the result $\frac{g_H}{g_J(\mathrm{Cs},{}_{}{}^2{}_{}{}^{}S_{\frac{1}{2}}^{}{}_{}{}^{})}=15.1911\mathrm{}\times {10}^{-4\mathrm{}}$ and $\frac{g_H}{g_J(\mathrm{In},{}_{}{}^2{}_{}{}^{}P_{\frac{1}{2}}^{}{}_{}{}^{})}=45.6877\mathrm{}\times {10}^{-4\mathrm{}}$. From a knowledge of the ratios $\frac{g_J\left({\mathrm{Cs}}^{133}\right)}{g_J\left({\mathrm{Na}}^{23}\right)}$ and $\frac{g_J\left({\mathrm{In}}^{115}\right)}{g_J\left({\mathrm{Na}}^{23}\right)}$ two entirely independent values of the ratio $\frac{g_H}{g_J\left({\mathrm{Na}}^{23}\right)}$ have been obtained: From indium $\frac{g_H}{g_J\left(\mathrm{Na}\right)}=15.1923\mathrm{}\times {10}^{-4\mathrm{}}.$