Nuclear Orientation of ${}_{}{}^{253}{}_{}{}^{}\mathrm{Es}$ in Neodymium Ethylsulfate

Einsteinium-253 nuclei were oriented at low temperatures in a neodymium ethylsulfate lattice. From the temperature-dependent $\alpha$-particle angular distribution a nuclear magnetic moment $\left|\mu \right|=(2.7\mathrm{}\pm 1.3){\mu }_N$ was deduced. From the values for the angular distribution function at the lowest temperatures it was possible to test the predictions of the Mang shell-model theory for the relative phases and amplitudes of the $\alpha$-partial waves. As predicted, the waves of angular momentum $L=0\mathrm{} \mathrm{and} 2$ are in phase, and the $L=0\mathrm{} \mathrm{and} 4$ waves are out of phase. The predicted wave amplitudes are in error, especially that of the $L=4\mathrm{}$ wave. The predicted relative intensities (which are proportional to the amplitudes squared) for the $S$, $D$, and $G$ waves are 1.000:0.179:0.0052, whereas the relative intensities that best fit the experimental angular distribution are 1.000:0.216:0.0078.