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We report theoretical calculations of the static diamagnetic susceptibility,$\chi_0$, of neon and argon atoms. The calculations were performed using ahierarchy coupled-cluster methods combined with application of both theGaussian and Slater orbital basis sets. We included the complete relativisticcorrection of order of $\alpha^4$, where $\alpha$ is the fine structureconstant, and obtained an estimate of the quantum electrodynamics (QED)contributions. The finite nuclear mass and size corrections were alsoconsidered but are found to be small. The final results are$\chi_0=-8.4786(7)\cdot10^{-5}$ $a_0^3$ for the neon and$\chi_0=-22.9545(32)\cdot10^{-5}$ $a_0^3$ for the argon atom, where $a_0$ isthe Bohr radius. The uncertainties in the last digits, shown in theparentheses, are primarily due to the errors in the non-relativistic electronicwavefunction, as well as due to the neglected quantum electrodynamicscorrections.

Diamagnetic susceptibility of neon and argon including leading relativistic effects