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$\tilde{S}\!=\!1/2$ triangular-lattice $f$-electron materials define adynamic research area in condensed matter magnetism. In various Yb 4$f^{13}$triangular-lattice compounds, for example, spin-liquid ground states seem to berealized. Using {\it ab initio} quantum chemical methods, we here investigatehow correlation effects involving the 4$f$ electrons affect the on-site $f$-$f$excitation spectrum in NaYbSe$_2$. The system is well suited for such a studysince unambiguous inelastic neutron scattering data are available for theYb$^{3+}$ $f$-$f$ transitions. The excitation energies obtained byconfiguration-interaction calculations with single and double substitutionsagree within 3-4 meV with experimental values, which provides a not soexpensive alternative to fitting experimental data at the model-Hamiltonianlevel in order to analyze $f$-center multiplet structures.

Yb$^{3+}$ $f$-$f$ excitations in NaYbSe$_2$: benchmarking embedded-cluster quantum chemical schemes for 4$f$ insulators