This paper reports on the first complete shell-model description of low-lying structures of ${}^{254}\mathrm{No}$. Employing the Kuo-Herling effective interaction, the calculations are performed using the discrete nonorthogonal shell model recently implemented within the angular-momentum variation after projection applied on nonaxial wave functions. Our calculations show a striking agreement with the experimentally known spectroscopy: the yrast band, the $8^{-}$ ($K=8$), $3^{+}$ ($K=3$), and ${10}^{+}$ ($K=10$) isomers together with associated $K$ bands. We reproduce the recently measured Gallagher-Moszkowski splitting between the $3^{+}(K=3$) and $4^{+}$ ($K=4$) bandheads. We predict the appearance of a second $0^{+}$ state in excellent agreement with recent observations. In addition, we systematically examine the ground state spectra and the dipole and spectroscopic quadrupole moments of even-even, odd-even, odd-odd nuclei from $A=251$ to $A=256$, which are favorably reproduced. The present description of ${}^{254}\mathrm{No}$ shows the ability of the shell model framework to describe the low-lying properties for such an exotic nucleus at the frontier of modern experimental nuclear physics research.

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• Collective levels
• Energy levels
• Nuclear many-body theory
• Nuclear shapes and moments
• Nuclear structure & decays
• Shell model