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# Cole-Cole equation

The Cole-Cole equation is a dielectric relaxation model that constitutes a special case of Havriliak-Negami relaxation when the symmetry parameter (β) is equal to 1 - that is, when the relaxation peaks are symmetric:

$\hat{\varepsilon}(\omega) = \varepsilon_{\infty} + \frac{\Delta\varepsilon}{1+(i\omega\tau)^{\alpha}}$

Most polymers show dielectric relaxation patterns that can be accurately modeled by this equation.