“…Besides, to improve the overall accuracy of TAO-DFT for diverse applications, an approach that determines the self-consistent value of in TAO-DFT has been recently formulated [ 44 ]. Also, to comment on its applicability, TAO-DFT has been widely adopted for electronic structure calculations [ 5 , 12 , 15 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 ], hydrogen storage applications [ 46 , 48 , 49 ], and vibrational analysis [ 54 ], especially for nanosystems possessing radical character. Furthermore, in several recent investigations [ 5 , 37 , 39 , 40 , 42 , 45 ], the occupation numbers of orbitals from TAO-DFT have been shown to be close to the occupation numbers of natural orbitals obtained with the variational two-electron reduced-density-matrix-driven CASSCF (v2RDM-CASSCF) method, which is an accurate MR electronic structure method, leading to a qualitatively similar tendency in describing the radical nature associated with various PAHs.…”