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

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where ''R''<sub>''o''</sub> is the dc resistivity, &#x03C4; 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, &#x03C4;=10<sup>&#x2013;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, &#x03C4; 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, &#x03C4;=10<sup>&#x2013;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

ρ(ω)=Ro{1–m[1–1/(1+iωτ)c]},


where Ro 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 104 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.