Analysis of the dielectric function of aluminum (Al) in bulk and nanometric states

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.

Keywords:

• Aluminum
• bulk
• dielectric constant
• interband
• intraband transitions
• IR pulsations
• nanometric

Acknowledgments

We are grateful to Professor Uwe Thumm who hosted us for three months in his James R. Macdonald laboratory at the Kansas State University in the USA, and who offered us an opportunity to collaborate on this subject, as part of the Fulbright Grant Merit Award.

Disclosure statement

The authors declare no conflicts of interest.