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Violation of linearity of the King plot is investigated for a chain ofpartially stripped argon isotopes. The nonlinearity originates within theStandard Model from subtle contributions to the isotope shifts fromnext-to-leading order effects, which have never been systematically studied sofar. In light atoms these nonlinear effects are dominated by the quadraticnuclear recoil ($\propto 1/M^2$ where $M$ is the nuclear mass). Large-scalerelativistic calculations of the linear and quadratic mass shift and the fieldshift are performed for the $2P$ fine-structure transitions in Be-like, B-like,and C-like argon ions. Nonlinearities of the King plots from 5 to 30 kHz arefound, which is four orders of magnitude larger than previous estimates incomparable systems. Accurate calculations of these effects are vital foridentification of possible nonlinearities originating from physics beyond theStandard Model.

Non-linear isotope-shift effects in Be-like, B-like, and C-like argon