Nuclear magnetic moments of the ground states of 124I, 126I, and 130I.

Abstract

The nuclear magnetic moments of $^{124}\mathrm{I}$, $^{126}\mathrm{I}$, and $^{130}\mathrm{I}$ have been measured by the techniques of low-temperature nuclear orientation and nuclear magnetic resonance on oriented nuclei. The magnetic hyperfine splitting frequency \ensuremath{\Vert}g${\mathrm{\ensuremath{\mu}}}_{\mathit{N}}$${\mathit{B}}_{\mathrm{HF}}$/h\ensuremath{\Vert} for $^{124}\mathit{Fe}$ was determined to be 630.2(2) MHz from a field-shift analysis of the measured resonances at the external field of 0.1, 0.2, 0.4, 0.6, and 0.8 T. The resonances for $^{126}\mathit{Fe}$ and $^{130}\mathit{Fe}$ were observed in an external magnetic field of 0.2 T at \ensuremath{\nu}${(}^{126}$IFe)=627.7(2) MHz and \ensuremath{\nu}${(}^{130}$IFe)=585.7(2) MHz, respectively. Using the recalculated hyperfine field of ${\mathit{B}}_{\mathrm{HF}}$${(}^{131}$IFe)=114.50(5) T, the magnetic moments were deduced: \ensuremath{\Vert}\ensuremath{\mu}${(}^{124}$I,${2}^{\mathrm{\ensuremath{-}}}$)\ensuremath{\Vert}=1.444(4)${\mathrm{\ensuremath{\mu}}}_{\mathit{N}}$, \ensuremath{\Vert}\ensuremath{\mu}${(}^{126}$I,${2}^{\mathrm{\ensuremath{-}}}$)\ensuremath{\Vert}=1.436(5)${\mathrm{\ensuremath{\mu}}}_{\mathit{N}}$, and \ensuremath{\Vert}\ensuremath{\mu}${(}^{130}$I,${5}^{+}$)\ensuremath{\Vert}=3.349(7)${\mathrm{\ensuremath{\mu}}}_{\mathit{N}}$. The present value of the magnetic moment of $^{124}\mathrm{I}$ is very different from the value of 1.14(8)${\mathrm{\ensuremath{\mu}}}_{\mathit{N}}$ reported previously. The measured values of the magnetic moments are discussed using Land\'e formula.