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This study introduces a compact and highly accurate Gaussian basis set tailored for the ab initio modeling of $^2$Li Rydberg states, achieving precision in excitation energies up to $n = 7$ across various angular momentum symmetries. The new basis set, optimized through a specific protocol, demonstrates superior accuracy鈥攂etter than $10^{-2}$ eV鈥攃ompared to existing universal Gaussian sets, while requiring fewer basis functions. Additionally, the analysis of Rydberg-orbital cuts reveals a consistent nodal structure, suggesting the potential for applying this methodology to more complex systems in future investigations.
Achieving over $10^{-2}$ eV accuracy in Rydberg state modeling with a significantly smaller Gaussian basis set could revolutionize ab initio studies of complex atomic and molecular systems.
A new small and highly accurate Gaussian basis set has been developed for the ab initio description of $^2$Li Rydberg excited states up to $n = 7$ and S, P, D, F, and G angular momentum symmetry, and the appropriate optimization protocol is presented. The obtained Rydberg excitation energies are compared with results from other highly accurate approaches. At the EOM-CCSD level of theory the new basis exhibits higher than $10^{-2}$ eV accuracy of the excitation energies and the ionization potential and provides superior results than an analogous universal Gaussian basis set, while utilizing even smaller number of basis functions. Plots of the 1-dimensional Rydberg-orbital cuts reveal a regular nodal structure along the logarithmic scale of the atomic radius reaching tens of angstrom far from the nucleus. The presented Rydberg basis set generation methodology is an important step towards routine ab initio Rydberg-state related investigations of more complex systems, such as large atoms and polyatomic molecules.
