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The magnetic moment of a single impurity atom in a finite free electron gasis studied in a combined x-ray magnetic circular dichroism spectroscopy anddensity functional theory study of size-selected free chromium-doped goldclusters. The observed size-dependence of the local magnetic moment canessentially be understood in terms of the Anderson impurity model. Electronicshell closure in the host metal minimizes the interaction of localized impuritystates with the confined free electron gas and preserves the full magneticmoment of $\unit[5]{\mu_B}$ in $\mathrm{CrAu}_{2}^{+}$ and$\mathrm{CrAu}_{6}^{+}$ clusters. Even for open-shell species, large localmoments are observed that scale with the energy gap of the gold cluster. Thisindicates that an energy gap in the free electron gas generally stabilizes thelocal magnetic moment of the impurity.

Magnetic Moments of Chromium-Doped Gold Clusters: The Anderson Impurity Model in Finite Systems