Theoretical calculations for isotope shifts of Be2+7,9,10,11,12,14 ions

Standard perturbation theory in quantum mechanics is employed to calculate the mass shifts of $2{}^{1}S_0-2{}^{3}S_1$ and $2{}^{3}S_1-2{}^{3}P_J$ transitions in ${}^{7,9,10,11,12,14}\mathrm{Be}^{2+}$ ions. These mass shifts are determined with high precision, typically having uncertainties of 1–2 ppm. The sensitivity of the isotope shifts between ${}^{7,10,11,12,14}\mathrm{Be}^{2+}$ and ${}^9\mathrm{Be}^{2+}$ to differences in nuclear charge radii is examined. Moreover, we present the fine-structure splitting isotope shifts, which serve as valuable tools for testing the consistency of experimental results. The study presented here will provide valuable insights for future measurements aimed at extracting atomic physics values of Be nuclear charge radii differences with an accuracy of 5% or higher.