We employ an all-particle multireference Fock-space relativistic coupled-cluster theory to compute the ionization potential, excitation energy, transition rate, and hyperfine structure constants associated with the $7s^2{}^1{S}_0\to 7s7p{}^3{P}_1$ and $7s^2{}^1{S}_0\to 7s7p{}^1{P}_1$ transitions in nobelium (No). Using our state-of-the-art calculations in conjunction with available experimental data [S. Raeder et al., Phys. Rev. Lett. 120, 232503 (2018)], we extract the values of nuclear magnetic dipole ($\mu$) and electric quadrupole ($Q$) moments for ${}^{253}\mathrm{No}$. Further, information on nuclear deformation in even-mass isotopes is extracted from the isotope shift calculations. Moreover, we employ a perturbed relativistic coupled-cluster theory to compute the ground-state electric dipole polarizability of No. In addition, to assess the accuracy of our calculations, we compute the ionization potential and dipole polarizability of lighter homolog ytterbium (Yb). To account for strong relativistic and quantum electrodynamical (QED) effects in No, we incorporate the corrections from Breit interaction, vacuum polarization, and self-energy in our calculations. The contributions from triple excitations in coupled cluster is accounted perturbatively. Our calculations reveal a significant contribution of $\approx 10\%$ from the perturbative triples to the transition rate of the $7s^2{}^1{S}_0\to 7s7p{}^3{P}_1$ transition. The largest cumulative contribution from $\mathrm{Breit}+\mathrm{QED}$ is observed to be $\approx 4\%$, to the magnetic dipole hyperfine structure constant of the $7s7p{}^1{P}_1$ state. Our study provides a comprehensive understanding of atomic and nuclear properties of nobelium with valuable insights into the electron-correlation and relativistic effects in superheavy elements.

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• Atomic & molecular structure
• Atomic spectra
• Electron correlation calculations for atoms & ions
• Electronic structure of atoms & molecules
• Electronic transitions
• Relativistic & quantum electrodynamic effects in atoms, molecules,& ions