“…57,58 Noted that the Coulomb-attenuated hybrid exchange-correlation function (CAM-B3LYP 59,60 ) is developed to overcome these limitations, and is appropriate for predicting the NLO property of large conjugation systems, for example, in fullerene dimers 61 and similar heteronanotubes. 27,62 Therefore, the polarizability and the first hyperpolarizability were calculated by using an analytical CAM-B3LYP/6-31+G(d) approach, together with the transition energy ΔE, oscillator strength f 0 , and the difference of the dipole moment Δμ between the ground state and the crucial excited state with the largest oscillator strength, all calculated with the TD-CAM-B3LYP method at the same basis set. All of the calculations were performed by the Gaussian09 program package.…”