文摘
We establish the relationships between the metric of charge transfer excitation (螖r) for the bright 蟺蟺* state and the two-photon absorption probability as well as the first hyperpolarizability for two families of push鈥損ull 蟺-conjugated systems. As previously demonstrated by Guido et al. (J. Chem. Theory Comput. 2013, 9, 3118鈥?126), 螖r is a measure for the average hole鈥揺lectron distance upon excitation and can be used to discriminate between short- and long-range electronic excitations. We indicate two new benefits from using this metric for the analyses of nonlinear optical properties of push鈥損ull systems. First, the two-photon absorption probability and the first hyperpolarizability are found to be interrelated through 螖r; if 尾 鈭?(螖r)k, then roughly, 未TPA 鈭?(螖r)k+1. Second, a simple power relation between 螖r and the molecular hyperpolarizabilities of push鈥損ull systems offers the possibility of estimating properties for longer molecular chains without performing calculations of high-order response functions explicitly. We further demonstrate how to link the hyperpolarizabilities with the chain length of the push鈥損ull 蟺-conjugated systems through the metric of charge transfer.