Embedded cluster approach for accurate electronic structure calculations of ²²⁹Th :CaF₂

Building on recent advances of the embedded cluster approach combined with multiconfigurational theory, this work investigates the electronic states in thorium-doped CaF₂ crystals. Th:CaF₂ is established as a promising material for solid-state nuclear clocks, which utilize the laser-Accessible isomeric state in thorium-229. By comparing simulated absorption spectra of a library of defect configurations with experimental data, we demonstrate the impact of fluorine vacancies and calcium vacancies on the Th:CaF₂ electronic structure. Our results indicate that fluorine-deficient sites can introduce local electronic states within the band gap, resonant with the isomer energy, potentially contributing to nonradiative decay or quenching of the Th-229 isomer. We also explore the potential of electron-nuclear-bridge mechanisms to enhance nuclear excitation or deexcitation, offering a pathway for more efficient control over the nuclear clock. This study provides key insights for optimizing the crystal environment for nuclear metrology applications and opens new avenues for further experimental and theoretical exploration of thorium-doped ionic crystals.