Abstract

We model the dielectric function of aluminum (Al). The modeling has been performed on Al in bulk and nanometric states. First, we will model the experimental measurements of the dielectric constant as a function of the pulsation ω by appropriate mathematical functions in an explicit way. In the second part, we will highlight the contributions due to intraband and interband electronic transitions. In the last part, we model the dielectric constant of this metal in the nanometric state using several complex theoretical models such as the Drude Lorentz theory and the Drude two-point critical model. We shall comment on which model fits the experimental dielectric function best.

摘要

我们对铝（Al）的介电函数建模。建模已在Al上以本体和纳米状态进行。首先，我们将通过适当的数学函数以显式方式对介电常数作为脉动ω的函数的实验测量值进行建模。在第二部分中，我们将重点介绍由于带内和带间电子跃迁带来的贡献。在最后一部分中，我们使用几种复杂的理论模型（例如Drude Lorentz理论和Drude两点临界模型）对这种金属在纳米状态下的介电常数进行建模。我们将评论哪种模型最适合实验介电函数。