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 $J=3\mathrm{}$ fine-structure state. The spin was measured to be $I=\frac{7}{2}$ and the hyperfine interaction constants were determined to be: $\mathrm{}\left|A\right|=4.59\mathrm{}\pm 0.07$ Mc/sec and $\mathrm{}\left|B\right|=1.5\mathrm{}\pm 1.5$ Mc/sec, with $\frac{B}{A}>0\mathrm{}$. 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): $\left|{\mu }_I\right|=0.095\mathrm{}\pm 0.002$ nm and $\mathrm{}\left|Q\right|=0.015\mathrm{}\pm 0.015$ b, with $\frac{{\mu }_I}{Q}>0\mathrm{}$. These results are interpreted from the point of view of certain shell-model calculations.