http://debianws.lexgopc.com/wiki143/index.php?action=history&feed=atom&title=Constant_phase_elementConstant phase element - Revision history2026-05-13T02:55:13ZRevision history for this page on the wikiMediaWiki 1.43.1http://debianws.lexgopc.com/wiki143/index.php?title=Constant_phase_element&diff=5031265&oldid=prev147.161.130.127 at 11:00, 14 February 20242024-02-14T11:00:25Z<p></p>
<p><b>New page</b></p><div>{{Short description|Circuit component which represents double-layer capacitance}}<br />
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In [[electronics]], a '''constant phase element''' is an [[equivalent electrical circuit]] component that models the behaviour of a [[double layer (electrode)|double layer]], that is, an imperfect [[capacitor]] (see [[double-layer capacitance]]).<br />
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Constant phase elements are also used in equivalent circuit modeling and data fitting of [[electrochemical impedance spectroscopy]] data.<br />
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A constant phase element also currently appears in modeling the imperfect [[dielectric]]s' behavior. The generalization in the fields of imperfect [[electrical resistance]]s, [[capacitance]]s, and [[inductance]]s leads to the general "'''phasance'''" concept: http://fr.scribd.com/doc/71923015/The-Phasance-Concept<br />
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== General equation ==<br />
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The electrical [[electrical impedance|impedance]] can be calculated:<br />
:<math>Z_{CPE}=\frac{1}{Y_{CPE}}=\frac{1}{Q_0\omega^n}e^{-\frac{\pi}{2}ni}</math><br />
where the CPE [[admittance]] is: <math>Y_{CPE}=Q_0(\omega i)^n</math> and Q<sub>0</sub> and n (0<n<1) are frequency independent.<ref>{{cite journal|last=Kochowski|first=S|author2=K. Nitsch|title=Description of the frequency behaviour of metal-SiO<sub>2</sub>-GaAs structure characteristics by electrical equivalent circuit with constant phase element|journal=Thin Solid Films|date=21 May 2002|volume=415|issue=1–2|pages=133–137|url=http://144.206.159.178/ft/1035/72608/14075937.pdf|accessdate=22 October 2012|doi=10.1016/s0040-6090(02)00506-0|bibcode=2002TSF...415..133K}}{{Dead link|date=July 2019 |bot=InternetArchiveBot |fix-attempted=yes }}</ref><br />
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Q<sub>0</sub> = 1/|Z| at ω = 1 rad/s<br />
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The constant phase is always −(90*n)°, with n from 0 to 1. The case n = 1 describes an ideal capacitor while the case n = 0 describes a pure [[resistor]].<br />
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==References==<br />
{{Reflist}}<br />
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[[Category:Electronic circuits]]<br />
[[Category:Linear electronic circuits]]<br />
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