# Difference between revisions of "Dictionary:Cole-Cole relaxation model"

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where ''R''<sub>''o''</sub> is the dc resistivity, τ is the time constant, and ''c'' is the frequency dependence. Typical ranges for parameters are ''m''=0.1 to 1.0, depending on the mineral content, τ=10<sup>–4</sup> to 10<sup>4</sup> depending on grain size, and ''c''=0.2 to 0.6 depending on the particle size distribution. Compare [[Dictionary:Warburg_impedance|''Warburg impedance'']], for which the value of ''c'' is 0.5. | where ''R''<sub>''o''</sub> is the dc resistivity, τ is the time constant, and ''c'' is the frequency dependence. Typical ranges for parameters are ''m''=0.1 to 1.0, depending on the mineral content, τ=10<sup>–4</sup> to 10<sup>4</sup> depending on grain size, and ''c''=0.2 to 0.6 depending on the particle size distribution. Compare [[Dictionary:Warburg_impedance|''Warburg impedance'']], for which the value of ''c'' is 0.5. | ||

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## Revision as of 13:20, 28 May 2014

(kōl kōl) A model for induced polarization (IP) effects in which the effective impedance varies as a power of the frequency. The complex resistivity ρ(ω) is given by

*R*

_{o}{1–

*m*[1–1/(1+

*i*ωτ)

^{c}]},

where *R*_{o} is the dc resistivity, τ is the time constant, and *c* is the frequency dependence. Typical ranges for parameters are *m*=0.1 to 1.0, depending on the mineral content, τ=10^{–4} to 10^{4} depending on grain size, and *c*=0.2 to 0.6 depending on the particle size distribution. Compare *Warburg impedance*, for which the value of *c* is 0.5.