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Updated: Aug 12, 2026

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Size-, electric-field-, and frequency-dependent third-order nonlinear optical properties of hydrogenated silicon
Haipeng Li1, Hu Xu2, Xiaopeng Shen1
1Department of Physics, China University of Mining and Technology, Xuzhou, 221116, China.
Abstract:
We investigated the electronic properties and second hyperpolarizabilities of hydrogenated silicon nanoclusters (H-SiNCs) by using the density functional theory method. The effects of cluster size, external electric field and incident frequency on the second hyperpolarizability were also examined, respectively. We found that small H-SiNCs exhibit large second hyperpolarizability. With the increase of the number of silicon atoms in H-SiNCs, the frontier molecular orbital energy gap decreases, attributed to the enhancement of the second hyperpolarizability. Interestingly, we also found the electric-field-induced gigantic enhancement of the second hyperpolarizability for H-SiNCs due to the change of electron density distributions. In addition, our results demonstrate a significant dependence on the frequency of incident light.
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