摘要

The geometrical structures and second-order nonlinear optical (NLO) properties of [V12O32](4-) [ V12O32 M](3-) (M = Li+, Na+, K+) and the protonated derivatives were investigated via density functional theory (DFT) method. The results show that the alkali metal cation W. has little effect on the geometrical structure of the system and the first hyperpolarizability(beta(0)). However, the different positions and different orientations of the protons have different impact on beta(0) values. Compared with [V12O32](4-) the beta(0) values of the protonated systems, in which the middle bridging oxygen atoms are protonated, increase significantly. Besides, when the middle bridging oxygen atoms are protonated, meanwhile the protons point to inside of the bowl, this complex exhibits the largest beta(0) value.

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