掺杂单晶硅纳米薄膜杨氏模量的多尺度理论模型?
The multi-scale theoretical mo dels of Young’s mo dulus of dop ed mono crystalline silicon nano-film
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摘要: 硅纳米材料物理性能的研究对其在半导体技术中的应用是十分重要的。而掺杂有利于改善硅纳米材料的物理特性,提高应用价值,所以本文基于半连续体模型运用Keating形变势,通过模型计算,研究了不同位置及不同掺杂浓度的单晶硅纳米薄膜[100]方向的杨氏模量,分析了掺杂浓度及掺杂位置不同时硅膜杨氏模量与膜厚关系,结果表明,与纯硅膜杨氏模量相比,不同位置的掺杂对硅膜杨氏模量的影响并不明显,不同浓度的掺杂对硅膜杨氏模量的影响较小。而随着硅膜厚度的不断增加,掺杂硅膜杨氏模量与纯硅膜杨氏模量的变化趋势一致,特别是较小尺寸时的硅膜杨氏模量变化较大。说明影响硅膜杨氏模量的主要因素是硅膜厚度。该计算结果对研究硅纳米材料的其他力学特性有一定的参考价值,也为进一步研究掺杂对纳米硅材料力学性能的影响提供一种全新思路。Abstract: The study of physical properties of silicon nano-materials is very important for its application in semiconductor technology. Doping is beneficial to improving the physical properties of silicon nano-materials, it can improve the application value as well. Young’s modulus of the crystal in the direction of [100] of the doped silicon nano-film is studied by an analytical model, which is based on the semi-continuum approach. In the model, the strain energy is obtained from the Keating strain energy model. The relationship between the Young’s modulus and film thickness are also discussed. Results show that the Young’s modulus decreases with the increase of the thickness of the silicon film, especially with the small size;the variation tendency of the Young’s modulus of doped silicon films is similar to the pure silicon film. And the Young’s modulus decreases as the doping concentration decreases for different doping position. Neither the doping concentration nor the doping position, it is the thickness that shows the most important effect on the Young’s modulus of the doped silicon nano-film. Findings in this paper may serve as a reference for similar study, and can offer a totally new idea of the doped monocrystalline silicon materials as well.
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