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I'm trying to follow along in my Solid State Physics book, but I'm getting hung up on an equation for the complex dielectric constant.

[tex]\widetilde{\epsilon_r}=\epsilon_L+j\widetilde{\sigma}/\omega[/tex]

Multiply through by the definition of the complex conductivity, so that we get something in the form of [tex]\epsilon_r=\epsilon'_r+j\epsilon''_r[/tex]

where

[tex]\epsilon'_r[/tex] is [tex]\epsilon_L/\epsilon_0 + \sigma_0\tau/\epsilon_0(1+\omega^2\tau^2)[/tex]

What, exactly, is [tex]\epsilon_L[/tex]? Is it just the old value of the dielectric constant before we introduce this complex stuff (So, a function of [tex]\omega[/tex])? The book doesn't really elaborate.

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# Complex Dielectric Constant Question

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