Relative Quadrupole Moments of the First Excited States of ${\mathrm{W}}^{182}$, ${\mathrm{W}}^{184}$, and ${\mathrm{W}}^{186}$

Mössbauer-effect experiments following Coulomb excitation with a 6.0-MeV beam of ${\mathrm{He}}^4$ ions were performed with tungsten nuclei in tungsten compounds. The first excited states of ${\mathrm{W}}^{182}$, ${\mathrm{W}}^{184}$, and ${\mathrm{W}}^{186}$ were investigated simultaneously at both 78°K and between 20 and 30°K. Three different compounds of tungsten were used as absorbers: W${\mathrm{O}}_3$, WC, and W${\mathrm{S}}_2$. All three yielded consistent results for the relative quadrupole moments for the three tungsten isotopes. These are: $Q_{22}^{182}:Q_{22}^{184}:Q_{22}^{186}=1:0.965\mathrm{}\pm 0.008:0.906\pm 0.018,$ and are in reasonable agreement with values of the relative quadrupole moments determined from $B\left(E2\mathrm{}\right)\mathrm{}$ measurements and previous Mössbauer-effect measurements. If the natural linewidth of ${\mathrm{W}}^{182}$ is 0.997 ± 0.010 mm/sec, then the corresponding natural linewidth of ${\mathrm{W}}^{184}$ and ${\mathrm{W}}^{186}$ previously reported by Mekshes and Hershkowitz are corrected to 0.95 ± 0.09 and 0.80 ± 0.06 mm/sec. A comparison of the measurements of resonant absorption following Coulomb excitation with those from $B\left(E2\mathrm{}\right)\mathrm{}$ experiments indicate that the rotational model is valid for the lowest-lying energy levels of the even-even tungsten nuclei.