Magnetic Moment and Mass of Chlorine-36

Abstract

The magnetic moment of the ${\mathrm{Cl}}^{36}$ nucleus was measured by observing the Zeeman splitting of the $F=2\ensuremath{\rightarrow}2$ line in the electric quadrupole hyperfine pattern of the molecule C${\mathrm{H}}_{3}$${\mathrm{Cl}}^{36}$ $J=0\ensuremath{\rightarrow}1$, $K=0$ transitions). It was found to be 1.32\ifmmode\pm\else\textpm\fi{}0.08 nuclear magnetons. The magnitude of the magnetic moment was measured by using a rectangularly cross-sectioned absorption cell with plane polarized microwave radiation, and observing the $\ensuremath{\Delta}M=\ifmmode\pm\else\textpm\fi{}1$ transitions. The sign of the magnetic moment was measured by using a circularly cross-sectioned absorption cell with circularly polarized microwave radiation. This allowed the $\ensuremath{\Delta}M=1$ and the $\ensuremath{\Delta}M=\ensuremath{-}1$ transitions to be observed separately. The magnetic field was calibrated by observing the Zeeman splitting of the spectrum of C${\mathrm{H}}_{3}$${\mathrm{Cl}}^{35}$. This value of magnetic moment indicates a nuclear configuration ${({d}_{\frac{3}{2}})}_{N}{({d}_{\frac{3}{2}})}_{P}$.Measurements of the quadrupole spectrum without the Zeeman perturbation gave the following additional information: the spin of ${\mathrm{Cl}}^{36}$ was confirmed to be 2, the mass difference ratio $\frac{[m({\mathrm{Cl}}^{36})\ensuremath{-}m({\mathrm{Cl}}^{35})]}{[m({\mathrm{Cl}}^{37})\ensuremath{-}m({\mathrm{Cl}}^{36})]}$ was found to be 1.00168\ifmmode\pm\else\textpm\fi{}0.04 percent, the molecular rotational constant of the C${\mathrm{H}}_{3}$${\mathrm{Cl}}^{36}$ molecule was found to be 13187.604\ifmmode\pm\else\textpm\fi{}0.015 Mc/sec, and its quadrupole coupling constant to be -15.83\ifmmode\pm\else\textpm\fi{}0.20 Mc/sec.