We perform atomic relativistic many-body calculations of the field isotope shifts and calculations of corresponding nuclear parameters for all stable even-even isotopes of the ${\mathrm{Yb}}^{+}$ ion. We demonstrate that if we take nuclear parameters of the Yb isotopes from a range of the state of the art nuclear models, which all predict strong quadrupole nuclear deformation, and then calculate nonlinearity of the King plot caused by the difference in the deformation in different isotopes, the result is consistent with the nonlinearity observed in the experiment [I. Counts et al., Phys. Rev. Lett. 125, 123002 (2020)]. The changes of nuclear rms radius between isotopes extracted from experiment are consistent with those obtained in the nuclear calculations.

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• Atomic & molecular structure
• Atomic spectra
• Electronic transitions