Nuclear Spin and Moments ofTi45

Abstract

The nuclear spin and moments of the radioactive isotope ${\mathrm{Ti}}^{45}$ have been measured by the atomic-beam magnetic-resonance method. These measurements were performed in the $J=3$ fine-structure state. The spin was measured to be $I=\frac{7}{2}$ and the hyperfine interaction constants were determined to be: $|A|=4.59\ifmmode\pm\else\textpm\fi{}0.07$ Mc/sec and $|B|=1.5\ifmmode\pm\else\textpm\fi{}1.5$ Mc/sec, with $\frac{B}{A}>0$. From the known hyperfine interaction constants and nuclear moments of ${\mathrm{Ti}}^{47}$ and ${\mathrm{Ti}}^{49}$ the nuclear magnetic dipole and electric quadrupole moments were calculated. The results are (with no diamagnetic or Sternheimer corrections): $|{\ensuremath{\mu}}_{I}|=0.095\ifmmode\pm\else\textpm\fi{}0.002$ nm and $|Q|=0.015\ifmmode\pm\else\textpm\fi{}0.015$ b, with $\frac{{\ensuremath{\mu}}_{I}}{Q}>0$. These results are interpreted from the point of view of certain shell-model calculations.