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Similar or even larger distortions of the perylene core are obtained when using various other computational methods: semiempirical PM3 (24°), HF/6-31G** (19°), MP2/6-31G** (18°), B3LYP/6-31++G** (17°). Similar torsional angles have been previously observed in the 9-cyanodibenz[a,c]anthracene crystal: Duan, S.; Turk, J.; Speigle, J.; Corbin, J.; Masnovi, J.; Baker, R. J. J. Org. Chem. 2000, 65, 3005. A single crystal structure based on a dicyano core-substituted PTCDI is available in the literature, which severely restricts the correlation with the theoretical data.
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Substitutions with phenylethoxy or azobenzene groups on the imide nitrogens strongly impact the reorganization energies for hole transfer, with values of 307 and 467 meV for PTCDIs 14 and 15, respectively. This is consistent with the observed significant geometrical relaxations on the lateral substituents upon oxidation. Note that the phenyl rings of the azobenzene moiety in PTCDI15 are twisted around the N=N bond by about 14 and 16°, respectively, in the cation state, while they are nearly coplanar in the neutral state; in PTCDI14, the twist angles between the phenyl rings and the perylene plane is reduced from 76 to 51° on going from the neutral to the cation state.
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