Kontsevich quantization formula - Revision history

99.241.166.168: formatting improvements and plain html/latex to {{math|...}} also improved latex formulas

2014-07-06T07:05:26Z

formatting improvements and plain html/latex to {{math|...}} also improved latex formulas

← Older revision		Revision as of 09:05, 6 July 2014
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	~~The '''Warburg coefficient''' (or Warburg constant), <math>A_W</math>,~~ is the diffusion coefficient of ions in solution, associated to the [[Warburg element]], <math>Z_W</math>. The Warburg coefficient, <math>A_W</math>, also written as, <math>{\sigma}</math>, has the units of <math>{\Omega}/\sqrt{seconds}={\Omega}(s^{-1/2})</math>		My name is Damion and I am studying International Relations and Nutritional Sciences at Lake Kemp / United States.<br><br>my web blog; [http://youtu.be/DOYXwofZLos pembesar payudara]

	The value of <math>A_W</math> can be obtained by the gradient of the Warburg plot, a linear plot of the real impedance (<math>R</math>) against the reciprocal of the square root of the frequency (<math>{1}/\sqrt{\omega}</math>). This relation should always yield a straight line, as it is unique for a Warburg.

	~~Alternatively, the value of <math>A_W</math> can be found by:~~

	~~<math>A_W={\frac{R T}{An^2F^2\sqrt2}}{\left(\frac{1}{D_O^{1/2}C_O^b}+{\frac{1}{D_R^{1/2}C_R^b}}\right)}=\frac{R T}{An^2F^2\Theta C\sqrt{2D}}</math>~~

	where <math>R</math> is the [[ideal gas constant]], <math>T</math> is the [[thermodynamic temperature]], <math>F</math> is the [[Faraday constant]], <math>n</math> is the [[valence (chemistry)\|valency]], <math>D</math> is the diffusion coefficient of the species where subscripts <math>O</math> and <math>R</math> stand for the oxidized and reduced species respectively, <math>C^b</math> is the concentration of the <math>O</math> and ~~<math>R</math> species in the bulk, C is the concentration of the electrolyte, <math>A</math> denotes the surface area~~ and ~~<math>\Theta</math> denotes the fraction of the <math>R<~~/~~math> and <math>O</math> species present~~.

	~~The equation for~~ <~~math~~>~~A_W~~<~~/math~~> ~~applies to both reversible and quasi-reversible reactions for which both halves of the couple are soluble.~~

	~~==References==~~
	* A. Ottova-Leitmannova, Advances in Planar Lipid Bilayers and Liposomes, Academic Press (2006)
	* http://~~www~~.~~consultrsr.com/resources/eis~~/~~warburg2.htm#ref1~~

	~~[[Category:Electrochemistry]~~]

en>Cuzkatzimhut: /* Explicit formula up to second order */

2013-07-09T12:31:11Z

Explicit formula up to second order

← Older revision		Revision as of 14:31, 9 July 2013
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	~~Nursing Scientific Director Walton from Kincardine~~, ~~enjoys curling~~, ~~yes chef hack and collecting artwork~~. ~~Discovers~~ the ~~beauty in touring places around~~ the ~~globe~~, ~~recently only coming back from Curonian Spit~~.<br><br>~~Here~~ is ~~my web blog;~~ [http://~~allplatformgamecheats~~.com/~~yes-chef-hack~~/ ~~yes chef hack tool~~]		The '''Warburg coefficient''' (or Warburg constant), <math>A_W</math>, is the diffusion coefficient of ions in solution, associated to the [[Warburg element]], <math>Z_W</math>. The Warburg coefficient, <math>A_W</math>, also written as, <math>{\sigma}</math>, has the units of <math>{\Omega}/\sqrt{seconds}={\Omega}(s^{-1/2})</math>

			The value of <math>A_W</math> can be obtained by the gradient of the Warburg plot, a linear plot of the real impedance (<math>R</math>) against the reciprocal of the square root of the frequency (<math>{1}/\sqrt{\omega}</math>). This relation should always yield a straight line, as it is unique for a Warburg.

			Alternatively, the value of <math>A_W</math> can be found by:

			<math>A_W={\frac{R T}{An^2F^2\sqrt2}}{\left(\frac{1}{D_O^{1/2}C_O^b}+{\frac{1}{D_R^{1/2}C_R^b}}\right)}=\frac{R T}{An^2F^2\Theta C\sqrt{2D}}</math>

			where <math>R</math> is the [[ideal gas constant]], <math>T</math> is the [[thermodynamic temperature]], <math>F</math> is the [[Faraday constant]], <math>n</math> is the [[valence (chemistry)\|valency]], <math>D</math> is the diffusion coefficient of the species where subscripts <math>O</math> and <math>R</math> stand for the oxidized and reduced species respectively, <math>C^b</math> is the concentration of the <math>O</math> and <math>R</math> species in the bulk, C is the concentration of the electrolyte, <math>A</math> denotes the surface area and <math>\Theta</math> denotes the fraction of the <math>R</math> and <math>O</math> species present.

			The equation for <math>A_W</math> applies to both reversible and quasi-reversible reactions for which both halves of the couple are soluble.

			==References==
			* A. Ottova-Leitmannova, Advances in Planar Lipid Bilayers and Liposomes, Academic Press (2006)
			* http://www.consultrsr.com/resources/eis/warburg2.htm#ref1

			[[Category:Electrochemistry]]

en>Magioladitis: clean up using AWB (8279)

2012-08-22T18:23:34Z

clean up using AWB (8279)

New page

Nursing Scientific Director Walton from Kincardine, enjoys curling, yes chef hack and collecting artwork. Discovers the beauty in touring places around the globe, recently only coming back from Curonian Spit.<br><br>Here is my web blog; [http://allplatformgamecheats.com/yes-chef-hack/ yes chef hack tool]