In this work, we calculate the hyperfine-structure constants of the ${}^{45}\mathrm{Sc}^{+}$ ion using a relativistic hybrid approach that combines configuration-interaction and coupled-cluster singles and doubles methods. Magnetic-dipole and electric-quadrupole hyperfine-structure constants are determined for the states arising from the $3d4s, 3d^2, 4s^2, 4s4p, 3d4p, 3d5s, 3d4d$, and $3d5p$ configurations. For most of these states, our magnetic-dipole hyperfine-structure constants agree well with available experimental data and represent a substantial improvement over previous theoretical results. By combining our calculated electric-field gradients with the measured electric-quadrupole hyperfine-structure constants for the ${}^{3}F_{2,3,4}, {}^{3}P_{1,2}$, and ${}^{1}G_4$ states within the $3d^2$ configuration, we derive a nuclear quadrupole moment $Q=-0.222\left(5\right)\mathrm{b}$, which is fully consistent with the value recently obtained from molecular data [J.-P. Dognon and P. Pyykkö, Phys. Chem. Chem. Phys. 27, 20453 (2025)].

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• Atomic spectra
• Fine & hyperfine structure