“…Perylene diimides (PDIs) have attracted an increasing interest during the past decades, and this can be traced back to their valuable properties, e.g., high electron affinities, large electron mobility, excellent thermal and oxidative stabilities, high molar absorptivities, and quantum yields of fluorescence. − Consequently, several exciting applications have emerged including photovoltaic cells, − photochromic materials, , optoelectronic devices, − chemosensors, , fluorescence probes in biological media, as well as other original applications in a wide range of fields. − To optimize their performances and to develop new diimide structures, several synthetic efforts have been made, e.g., extending the π-conjugated segments, using nucleophilic substitutions, designing asymmetric cores, and so on. PDIs can be synthesized in several manners. − ,, Typically, core-unsubstituted naphthalene diimides (NDIs) only absorb in the UV region, , whereas core unsubstituted PDIs possessing a more extended π conjugated path are red dyes with maximum absorption around 530 nm and emission bands at slightly larger wavelength. , Simulation of the excited state (ES) properties of diimide derivatives are certainly useful to complement experimental measurements, to analyze the principal vibrational modes involved in the specific band shapes of PDI, and subsequently to design derivatives with tailored properties. Due to the size of these compounds, a theoretical model presenting a valuable compromise between accuracy and computational burden is required.…”