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At ab initio level, time-dependent hybrid density functional theory and response theory[1] have been applied to study the solvent effect on the geometrical and elctronic structure as well as one-and two-photon absorption (TPA) properties of 2,2:6,2"-terpyridine-based chromophore L.It is found that solvatochromic shift of charge-transfer (CT) takes nonmonotonic behavior with regard to the polarity of solvent.