Constant phase element

A constant phase element is an equivalent electrical circuit component that models the behaviour of a double layer, that is an imperfect capacitor.

The electrical impedance can be calculated:

Z_{CPE}={\frac {1}{Y_{CPE}}}={\frac {1}{Q_{0}\omega ^{n}}}e^{-{\frac {\pi }{2}}ni}

where the CPE admittance is : $Y_{CPE}=Q_{0}(\omega i)^{n}$ and Q₀ and n (0<n<1) are frequency independent.^[1]

Q₀ = 1/|Z| at ω = 1 rad/s

The constant phase is always -(90*n)°, also with n from 0 to 1. The case n = 1 describes an ideal capacitor while the case n = 0 describes a pure resistor.

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^ Kochowski, S (21). "Description of the frequency behaviour of metal-SiO2-GaAs structure characteristics by electrical equivalent circuit with constant phase element" (PDF). Thin Solid Films. 415: 133–137. Retrieved 22 October 2012. {{cite journal}}: Check date values in: |date= and |year= / |date= mismatch (help); Unknown parameter |coauthors= ignored (|author= suggested) (help); Unknown parameter |month= ignored (help)

[1] Kochowski, S (21). "Description of the frequency behaviour of metal-SiO2-GaAs structure characteristics by electrical equivalent circuit with constant phase element" (PDF). Thin Solid Films. 415: 133–137. Retrieved 22 October 2012. {{cite journal}}: Check date values in: |date= and |year= / |date= mismatch (help); Unknown parameter |coauthors= ignored (|author= suggested) (help); Unknown parameter |month= ignored (help)

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