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	<title>Asymmetric simple exclusion process - Revision history</title>
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	<updated>2026-06-09T00:18:09Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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		<title>en&gt;John of Reading: Typo/general fixing, replaced: litterature → literature using AWB</title>
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		<updated>2013-06-17T19:25:44Z</updated>

		<summary type="html">&lt;p&gt;Typo/&lt;a href=&quot;/index.php?title=WP:AWB/GF&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;WP:AWB/GF (page does not exist)&quot;&gt;general&lt;/a&gt; fixing, replaced: litterature → literature using &lt;a href=&quot;/index.php?title=Testwiki:AWB&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Testwiki:AWB (page does not exist)&quot;&gt;AWB&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Infobox software&lt;br /&gt;
| name                   = aqion&lt;br /&gt;
| released               = {{start date|2012|01|01}}&lt;br /&gt;
| latest release version = version 4.3.3&lt;br /&gt;
| latest release date    = Feb 2014&lt;br /&gt;
| programming language   = [[C++|C/C++]]&lt;br /&gt;
| operating system       = [[Windows]]&lt;br /&gt;
| size                   = 1.5 MB&lt;br /&gt;
| language               = English, German&lt;br /&gt;
| website                = [http://www.aqion.de aqion.de]&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Aqion&amp;#039;&amp;#039;&amp;#039; is a hydrochemistry software tool. It bridges the gap between scientific software (such like &amp;#039;&amp;#039;&amp;#039;PhreeqC&amp;#039;&amp;#039;&amp;#039;&amp;lt;ref name=&amp;quot;Parkhurst&amp;quot;&amp;gt;Parkhurst, D.L. and C.A.J. Appelo: User&amp;#039;s Guide to PHREEQC (version 2), a computer program for speciation, batch-reaction, one-dimensional transport and inverse geochemical calculations. [[USGS]] Water-Resources Investigations Report 99-4259, 1999&amp;lt;/ref&amp;gt;)&lt;br /&gt;
and the calculation/handling of &amp;quot;simple&amp;quot; water-related tasks in daily routine practice. The software aqion is free for private users, education and companies.&lt;br /&gt;
&lt;br /&gt;
==Motivation &amp;amp; History==&lt;br /&gt;
First. Most of the [[geochemical modeling#Software programs in common use|hydrochemical software]] is designed for experts and scientists. In order to flatten the steep learning curve aqion provides an introduction to fundamental water-related topics in form of a &amp;quot;chemical pocket calculator&amp;quot;.&lt;br /&gt;
&lt;br /&gt;
Second. The program mediates between two terminological concepts: The calculations are performed in the &amp;quot;scientific realm&amp;quot; of thermodynamics (activities, speciation, log K values, ionic strength, etc.). Then, the output is translated into the &amp;quot;language&amp;quot; of common use: molar and mass concentrations, alkalinity, buffer capacities, water hardness, conductivity and others.&lt;br /&gt;
&lt;br /&gt;
History. Version 1.0 was released in January 2012 (after a half-year test run in 2011). The project is active with 1-2 updates per month.&lt;br /&gt;
&lt;br /&gt;
==Features==&lt;br /&gt;
* Validates aqueous solutions (charge balance error, parameter adjustment)&lt;br /&gt;
* Calculates physico-chemical parameters: [[alkalinity]], buffer capacities ([[Acid neutralizing capacity|ANC]], BNC), [[water hardness]], [[ionic strength]]&lt;br /&gt;
* Calculates aqueous speciation and [[coordination complex|complexation]]&lt;br /&gt;
* Calculates [[pH]] of solutions after addition of chemicals ([[acid]]s, [[base (chemical)|bases]], [[salt]]s)&lt;br /&gt;
* Calculates the calcite-carbonate system (closed/open CO2 system, [[Langelier Saturation Index]])&lt;br /&gt;
* Calculates mineral [[Dissolution (chemistry)|dissolution]], [[Precipitation (chemistry)|precipitation]], and saturation indices&lt;br /&gt;
* Calculates mixing of 2 waters&lt;br /&gt;
* Calculates reduction-oxidation ([[redox]]) reactions&lt;br /&gt;
* Plots titration curves&lt;br /&gt;
&lt;br /&gt;
==Fields of Application==&lt;br /&gt;
* Water analysis and [[water quality]]&lt;br /&gt;
* [[Geochemical modeling]] (in simplest form)&lt;br /&gt;
* Education&lt;br /&gt;
&lt;br /&gt;
==Limits of Application==&lt;br /&gt;
* only [[inorganic chemistry|inorganic]] species (no organic chemistry)&lt;br /&gt;
* only [[equilibrium thermodynamics]] (no [[chemical kinetics]])&lt;br /&gt;
* only aqueous solutions with [[ionic strength]] &amp;amp;#8804; 0.7&amp;amp;nbsp;mol/L&amp;lt;ref&amp;gt;Note: The upper limit is sea water.&amp;lt;/ref&amp;gt; (no [[brine]]s)&lt;br /&gt;
&lt;br /&gt;
==Basic Algorithm &amp;amp; Numerical Solver==&lt;br /&gt;
There are two fundamental approaches in hydrochemistry: [[Law of Mass Action]] (LMA) and Gibbs Energy Minimization (GEM).&amp;lt;ref&amp;gt;http://www.kristall.uni-frankfurt.de/media/handouts/GEM-lecture.PDF&amp;lt;/ref&amp;gt;&lt;br /&gt;
The programm aqion belongs to the category &amp;#039;&amp;#039;&amp;#039;LMA approach&amp;#039;&amp;#039;&amp;#039;. In a nutshell: A system of &amp;#039;&amp;#039;N&amp;lt;sub&amp;gt;B&amp;lt;/sub&amp;gt;&amp;#039;&amp;#039; independent basis components &amp;#039;&amp;#039;j&amp;#039;&amp;#039; (i.e. primary species), that combines to form &amp;#039;&amp;#039;N&amp;lt;sub&amp;gt;S&amp;lt;/sub&amp;gt;&amp;#039;&amp;#039; secondary species &amp;#039;&amp;#039;i&amp;#039;&amp;#039;, is represented by a set of mass-action and mass-balance equations:&lt;br /&gt;
&lt;br /&gt;
(1) &amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp; mass action law:  &amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp; &amp;lt;math&amp;gt;\{i\} \,=\, K_i \, \prod_{j=1}^{N_B} \,\{j\}^{\nu_{i,j}} &amp;lt;/math&amp;gt; &amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp; with i = 1 ... N&amp;lt;sub&amp;gt;S&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
(2) &amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp; mass balance law:  &amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp; &amp;lt;math&amp;gt;[j]_{TOT} \,=\, [j] + \sum_{i=1}^{N_S}\, \nu_{i,j} \,[i] &amp;lt;/math&amp;gt; &amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp; with j = 1 ... N&amp;lt;sub&amp;gt;B&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;#039;&amp;#039;K&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt;&amp;#039;&amp;#039; is the [[equilibrium constant]] of formation of the secondary species &amp;#039;&amp;#039;i&amp;#039;&amp;#039;, and &amp;amp;nu;&amp;lt;sub&amp;gt;i,j&amp;lt;/sub&amp;gt; represents the stoichiometric coefficient of basis species &amp;#039;&amp;#039;j&amp;#039;&amp;#039; in secondary species &amp;#039;&amp;#039;i&amp;#039;&amp;#039; (the values of &amp;amp;nu;&amp;lt;sub&amp;gt;j,i&amp;lt;/sub&amp;gt; can be positive or negative). Here, [[Activity (chemistry)|activities]] &amp;#039;&amp;#039;a&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt;&amp;#039;&amp;#039; are symbolized by curly brackets {i} while [[concentration]]s &amp;#039;&amp;#039;c&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt;&amp;#039;&amp;#039; by rectangular brackets [i]. Both quantities are related by the&lt;br /&gt;
&lt;br /&gt;
(3) &amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp; activity correction:  &amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp; &amp;lt;math&amp;gt;\{i\} \,=\, \gamma_{i} \, [i] &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
with &amp;amp;gamma;&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; as the activity coefficient calculatesd by the [[Debye-Hückel equation]] and/or [[Davies equation]]. Inserting Eq.(1) into Eq.(2) yields a nonlinear polynomial function f&amp;lt;sub&amp;gt;j&amp;lt;/sub&amp;gt; for the &amp;#039;&amp;#039;j-&amp;#039;&amp;#039;th basis species:&lt;br /&gt;
&lt;br /&gt;
(4) &amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp; &amp;lt;math&amp;gt;f_j (c_1,c_2,...,c_{N_B}) \,=\, [j]_{TOT} - [j] - \sum^{N_S}_{i=1} \frac{\nu_{i,j}}{\gamma_i}\, K_i\, \prod^{N_B}_{k=1} \{k\}^{\nu_{i,k}} \,=\,0 &amp;lt;/math&amp;gt;		 	&lt;br /&gt;
&lt;br /&gt;
which is the &amp;#039;&amp;#039;objective function&amp;#039;&amp;#039; of the [[Newton-Raphson]] method.&lt;br /&gt;
&lt;br /&gt;
To solve Eq.(4) aqion adopts the numerical solver from the open-source software &amp;#039;&amp;#039;PhreeqC&amp;#039;&amp;#039;.&amp;lt;ref name=&amp;quot;Parkhurst&amp;quot; /&amp;gt;&amp;lt;ref&amp;gt;Remark: To keep things apart, the numerical solver of PhreeqC is outsourced from &amp;#039;&amp;#039;aqion.exe&amp;#039;&amp;#039; into a separate [[Dynamic-link library|DLL]].&amp;lt;/ref&amp;gt;&lt;br /&gt;
The [[equilibrium constants]] &amp;#039;&amp;#039;K&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt;&amp;#039;&amp;#039; are taken from the thermodynamic database &amp;#039;&amp;#039;wateq4f&amp;#039;&amp;#039;.&lt;br /&gt;
&amp;lt;ref&amp;gt;Ball J.W. and D.K. Nordstrom: WATEQ4F – User’s manual with revised thermodynamic data base and test cases for calculating speciation of major, trace and redox elements in natural waters, [[USGS]] Open-File Report 90-129, 185 p, 1991.&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Examples, Test &amp;amp; Verification==&lt;br /&gt;
The software aqion is shipped with a set of example solutions (input waters) and a tutorial how to attack typical water-related problems (online-manual with about 40 examples). More examples and exercises for testing and re-run can be found in classical textbooks of hydrochemistry.&amp;lt;ref&amp;gt;Stumm, W. and J.J. Morgan: Aquatic Chemistry, Chemical Equilibria and Rates in Natural Waters (3rd ed.), John Wiley &amp;amp; Sons, Inc., New York, 1996, ISBN 978-0471511854&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Morel, F.M.M. and J.G. Hering: Principles and Applications of Aquatic Chemistry (2nd ed.), John Wiley, New York, 1993, ISBN 978-0471548966&amp;lt;/ref&amp;gt;&amp;lt;ref name=&amp;quot;Appelo&amp;quot;&amp;gt;Appelo, C.A.J. and D. Postma: Geochemistry, Groundwater, and Pollution. Taylor &amp;amp; Francis, 2005, ISBN 978-0415364287&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The program was verified by benchmark tests of specific industry standards.&amp;lt;ref&amp;gt;[[DIN]] 38404-10: German standard methods for the examination of water, waste water and sludge - Physical and physicochemical parameters (group C) - Determination of calcite saturation of water (C 10)&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Screenshots==&lt;br /&gt;
&amp;lt;gallery&amp;gt;&lt;br /&gt;
File:Aqion input panel 3.5.gif|input panel for chemical elements&lt;br /&gt;
File:aqion pH calculator.jpg|output of pH calculator (example)&lt;br /&gt;
File:Aqion calcite carbonate system 3.5.gif|calculated parameters of the calcite carbonate system&lt;br /&gt;
File:Titration NaOH.gif|titration curves (example: addition of NaOH to a given input water)&lt;br /&gt;
&amp;lt;/gallery&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
{{Reflist}}&lt;br /&gt;
&lt;br /&gt;
==External links==&lt;br /&gt;
* [http://wwwbrr.cr.usgs.gov/projects/GWC_coupled/phreeqc/ PHREEQC]&lt;br /&gt;
&lt;br /&gt;
[[Category:Chemistry software]]&lt;br /&gt;
[[Category:Computational chemistry software]]&lt;br /&gt;
[[Category:Science education software]]&lt;/div&gt;</summary>
		<author><name>en&gt;John of Reading</name></author>
	</entry>
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