简立方单原子纳米晶体颗粒的声子结构研究

Study on Phonon Structure of Monatomic Simple Cubic Nanometer Crystal Particle

应用Dyson方程推导了简立方单原子纳米晶体颗粒的声子格林函数。以此为基础 ,研究了简立方纳米晶体颗粒的声子结构 ,计算了其声子能级和声子态密度。计算结果表明 ,由于量子尺寸效应 ,在纳米晶体颗粒中 ,声子能带分裂为一系列能级 ,随着纳米晶体颗粒尺寸的减小 ,声子能级分裂越为显著。

The phonon Green's function of monatomic simple cubic nanometer crystal particle is deduced with Dyson's equation in this article. On the basis of this result, the phonon structure is studied, along with calculation of the energy levels and state densities of phonons. It is found that the energy band of phonon splits into a series of energy levels as a result of quantum size effect. The splitting of phonon energy levels will be more distinct as the size of nanometer crystal particle becomes smaller.