Simple model calculations for optical constants of copper

Abstract

A simple s-d band model is used for the interpretation of ε₂(ω) for copper. Fitting simple polynomials for transition matrix elments, analytical expressions are obtained for ε ₂(ω) in terms of band parameters of the s-d model. This expression is used to study the effect of matrix elements and variation of relaxation energy on ε₂(ω) of copper. It is shown that such a simple model is sufficient to study such a variation and, therefore, to study the qualitative variation of ε₂(ω). The model is also used to explain the peaks in dε₂(ω)/dω curve successfully. The effect of hybridization amongst s and d bands is also taken into account for the calculation of transition matrix elements and the resulting effects in ε₂(ω) are calculated.