I want to calculate the plasma frequency of Au, Ag, Cu and Al. But wondering what is the most precise way to calculate the plasma frequency.If any one can help me with that it will be really appreciated.

I know that Plasma Energy = √(n*e^2/(m*ε°)) = plank constant * ωp

Here, where n is the conduction electron density, e is the elementary charge, m is the electron mass, ε° the permittivity of free space and ωp the plasmon frequency.

But I do not have precise data or table of the conduction electron density. If any one know any link or table please provide me the source.

My other question "Is the plasma energy equal to the Band gap of the metal"? If so then how to measure "Static dielectric constant" if we measure the plasma frequency or wave length from the following equation?

Plasma Energy = Energy Band Gap = plank constant * ωp

If any one can reply that will be a big help for me. Any kind of reply will be highly appreciated.

Thanks,

Sami