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By use of the \textsc{grasp2018} package we perform MulticonfigurationDirac-Hartree-Fock (MCDHF) calculations with configuration interaction (CI) forthe $^{1}S_{0}$ and $^{3}P_{0,1}^o$ levels in neutral cadmium and mercury. Bysupplying the resultant atomic state functions to the \textsc{ris4} program, weevaluate the mass and field shift parameters for the $^{1}S_{0}-\,^{3}P_{0}^o$(clock) and $^{1}S_{0}-\,^{3}P_{1}^o$ (intercombination) lines. We make revisedestimates of the nuclear charge parameters $\lambda^{A,A'}$ and differences inmean-square charge radii $\delta\langle r^2\rangle^{A,A'}$ for both elementsand point out a discrepancy with tabulated data for Cd. In constructing a Kingplot with the Hg lines we examine the second-order hyperfine interaction forthe $^{3}P_{0,1}^o$ levels. Isotope shifts for the clock transition have beenestimated from which we predict the unknown clock line frequencies in thebosonic Hg isotopes and all the naturally occurring isotopes of Cd.

MCDHF-CI calculations for Hg and Cd with estimates for unknown clock transition frequencies