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	<id>https://en.formulasearchengine.com/w/index.php?action=history&amp;feed=atom&amp;title=Bounded_deformation</id>
	<title>Bounded deformation - Revision history</title>
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	<updated>2026-08-15T14:39:26Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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		<id>https://en.formulasearchengine.com/w/index.php?title=Bounded_deformation&amp;diff=255055&amp;oldid=prev</id>
		<title>213.57.15.125 at 15:15, 22 November 2014</title>
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		<updated>2014-11-22T15:15:59Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;a href=&quot;https://en.formulasearchengine.com/w/index.php?title=Bounded_deformation&amp;amp;diff=255055&amp;amp;oldid=17546&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>213.57.15.125</name></author>
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	<entry>
		<id>https://en.formulasearchengine.com/w/index.php?title=Bounded_deformation&amp;diff=17546&amp;oldid=prev</id>
		<title>141.30.71.116 at 13:18, 14 July 2010</title>
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		<updated>2010-07-14T13:18:13Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;A &amp;#039;&amp;#039;&amp;#039;constant phase element&amp;#039;&amp;#039;&amp;#039; is an [[equivalent electrical circuit]] component that models the behaviour of a [[double layer (electrode)|double layer]], that is an imperfect [[capacitor]].&lt;br /&gt;
&lt;br /&gt;
The electrical [[electrical impedance|impedance]] can be calculated:&lt;br /&gt;
:&amp;lt;math&amp;gt;Z_{CPE}=\frac{1}{Y_{CPE}}=\frac{1}{Q_0\omega^n}e^{-\frac{\pi}{2}ni}&amp;lt;/math&amp;gt;&lt;br /&gt;
where the CPE [[admittance]] is :&amp;lt;math&amp;gt;Y_{CPE}=Q_0(\omega i)^n&amp;lt;/math&amp;gt; and Q&amp;lt;sub&amp;gt;0&amp;lt;/sub&amp;gt; and n (0&amp;lt;n&amp;lt;1) are frequency independent.&amp;lt;ref&amp;gt;{{cite journal|last=Kochowski|first=S|coauthors=K. Nitsch|title=Description of the frequency behaviour of metal-SiO&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;-GaAs structure characteristics by electrical equivalent circuit with constant phase element|journal=Thin Solid Films|date=21 May 2002|volume=415|pages=133–137|url=http://144.206.159.178/ft/1035/72608/14075937.pdf|accessdate=22 October 2012}}&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Q&amp;lt;sub&amp;gt;0&amp;lt;/sub&amp;gt; = 1/|Z| at ω = 1 rad/s&lt;br /&gt;
&lt;br /&gt;
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]].&lt;br /&gt;
&lt;br /&gt;
A &amp;#039;&amp;#039;&amp;#039;constant phase element&amp;#039;&amp;#039;&amp;#039; also appears currently in modeling the behaviour of the imperfect dielectrics. The generalization in the fields of imperfect electrical resistances, capacitances and inductances leads to the general &amp;quot;Phasance&amp;quot; concept :&lt;br /&gt;
http://fr.scribd.com/doc/71923015/The-Phasance-Concept&lt;br /&gt;
&lt;br /&gt;
Constant phase elements are also used in equivalent circuit modelling and data fitting of [[electrochemical impedance spectroscopy]] data.&lt;br /&gt;
&lt;br /&gt;
{{Reflist}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Electronic circuits]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{science-stub}}&lt;br /&gt;
{{Electronics-stub}}&lt;/div&gt;</summary>
		<author><name>141.30.71.116</name></author>
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