“…Despite the simplicity of the TSH approaches, their application to modeling NAD in nanoscale systems and periodic solids is still prohibitively expensive. To enable such simulations, two key approximations are widely used: (a) the Neglect-of-Back-Reaction Approximation (NBRA) of Craig, Duncan, and Prezhdo, − which neglects the response of nuclear evolution to the change of electronic states upon photoexcitation or excited state decay; (b) the single-particle (SP) approximation in modeling electronic excited states, where the state energies and nonadiabatic couplings (NACs) are computed using the properties of 1-electron molecular orbitals (MOs) such as Kohn–Sham (KS) orbitals, ,,− semiempirical or ab initio MOs, ,− and individual excited Slater determinants (SDs) built out of these types of SP orbitals. , …”