Precise intrinsic quadrupole and hexadecapole moments of ${}_{}{}^{233,234,235,238}{}_{}{}^{}\mathrm{U}$ have been determined from muonic $K$, $L$, $M$, and $N$ x rays. For ${}_{}{}^{233,235}{}_{}{}^{}\mathrm{U}$ seven $E2$ matrix elements were independently determined. These $E2$ matrix elements are in good agreement with the adiabatic rotational model; this agreement is further improved if a correction for $\Delta K=1\mathrm{}$ band mixing is included. The measured hexadecapole moments are in good agreement with shellcorrection calculations and Hartree-Fock calculations.

• Received 7 June 1984

DOI:https://doi.org/10.1103/PhysRevLett.53.1888