In this work, we take a different angle to the benchmarking of time‐dependent density functional theory (TD‐DFT) for the calculation of excited‐state geometries by extensively assessing how accurate such geometries are compared to ground‐state geometries calculated with ordinary DFT. To this end, we consider 20 medium‐sized aromatic organic compounds whose lowest singlet excited states are ideally suited for TD‐DFT modeling and are very well described by the approximate coupled‐cluster singles and doubles (CC2) method, and then use this method and six different density functionals (BP86, B3LYP, PBE0, M06‐2X, CAM‐B3LYP, and ωB97XD) to optimize the corresponding ground‐ and excited‐state geometries. The results show that although each hybrid functional reproduces the CC2 excited‐state bond lengths very satisfactorily, achieving an overall root mean square error of 0.011 Å for all 336 bonds in the 20 molecules, these errors are distinctly larger than those of only 0.004–0.006 Å with which the hybrid functionals reproduce the CC2 ground‐state bond lengths. Furthermore, for each functional employed, the variation in the error relative to CC2 between different molecules is found to be much larger (by at least a factor of 3) for the excited‐state geometries than for the ground‐state geometries, despite the fact that the molecules/states under investigation have rather uniform chemical and spectroscopic character. Overall, the study finds that even in favorable circumstances, TD‐DFT excited‐state geometries appear intrinsically and comparatively less accurate than DFT ground‐state ones.
Graphene oxide, with sufficient oxygen-containing groups, is integrated with electronically conductive carbon nanotubes to be explored as an efficient metal-free catalyst for the oxygen reduction reaction. Preliminary theoretical calculations with the density functional theory method indicate that the existence of graphene oxide is favorable for the adsorption and subsequent four-electron reduction reactions of O2. Furthermore, this oxygen-enriched hybrid material was tested as a cathode in aprotic/aqueous hybrid electrolyte Li-air batteries. The hybrid material exhibited a very low overpotential (the voltage gap at 0.1 mA cm−2 is only 0.17 V) and better electrocatalytic performance owing to abundant oxygen containing groups and its excellent electroconductivity. These experimental and theoretical demonstrations should provide an important mechanistic insight into carbon-based metal-free catalysts in fuel cells and metal-air battery applications. We believe that the demonstrations shown in this paper provide a promising strategy to investigate highly efficient metal-free catalysts for advanced energy devices.
Despite lacking a stereocenter, light-driven cyclohexenylidene-pyrrolinium molecular motors achieve unidirectional rotary motion through the asymmetry afforded by the puckered cyclohexenylidene.