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		<title>Gabor filter</title>
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		<summary type="html">&lt;p&gt;124.181.200.70: could be more clear for some.&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;In [[chemistry]], a &#039;&#039;&#039;reaction quotient: Q&amp;lt;sub&amp;gt;r&amp;lt;/sub&amp;gt;&#039;&#039;&#039; is a function of the [[activity (chemistry)|activities]] or [[concentration]]s of the chemical species involved in a chemical reaction. In the special case that the reaction is at [[chemical equilibrium|equilibrium]] the reaction quotient is constant and equal to the [[equilibrium constant]] which appears in the expression of the [[law of mass action]].&lt;br /&gt;
&lt;br /&gt;
A general chemical reaction in which &amp;amp;alpha; moles of a reactant A and &amp;amp;beta; moles of a reactant B react to give &amp;amp;sigma; moles of a product S and &amp;amp;tau; moles of a product T can be written as &lt;br /&gt;
:&amp;amp;alpha;A + &amp;amp;beta;B {{eqm}} &amp;amp;sigma;S + &amp;amp;tau;T&lt;br /&gt;
&lt;br /&gt;
The reaction is written as an equilibrium even though in many cases it may appear to have gone to completion. When a mixture of A and B is made up and the reaction is allowed to occur, the reaction quotient, &#039;&#039;Q&amp;lt;sub&amp;gt;r&amp;lt;/sub&amp;gt;&#039;&#039;, is defined as:&amp;lt;ref&amp;gt;{{cite book | author=Zumdahl, Steven; Zumdahl, Susan | title=Chemistry 6th Edition| publisher=Houghton Mifflin Company | year=2003 | isbn=0-618-22158-1}}&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;Q_r = \frac{\left\{S_t\right\}^\sigma \left\{T_t\right\}^\tau }{\left\{A_t\right\}^\alpha \left\{B_t\right\}^\beta } &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where {&#039;&#039;X&#039;&#039;&amp;lt;sub&amp;gt;t&amp;lt;/sub&amp;gt;} denotes the &#039;&#039;instantaneous&#039;&#039; [[activity (chemistry)|activity]]&amp;lt;ref&amp;gt;Under certain circumstances (see [[chemical equilibrium]]) each activity term such as {&#039;&#039;A&#039;&#039;} may be replaced by a concentration term, [&#039;&#039;A&#039;&#039;]. Both the reaction quotient and the equilibrium constant are then concentration quotients.&amp;lt;/ref&amp;gt;  of a species X at time, t. &lt;br /&gt;
A compact general definition is (where П&amp;lt;sub&amp;gt;j&amp;lt;/sub&amp;gt; is the product across all j-indexed variables, and idem for П&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt;):&lt;br /&gt;
:&amp;lt;math&amp;gt;Q_r=\frac{\prod_j a_{j(t)}^{\nu_j}}{\prod_i a_{i(t)}^{\nu_i}}&amp;lt;/math&amp;gt; &lt;br /&gt;
where the numerator is a product of reaction product activities, &#039;&#039;a&amp;lt;sub&amp;gt; j&amp;lt;/sub&amp;gt;&#039;&#039;, each raised to the power of a [[stoichiometric coefficient]], &#039;&#039;ν&amp;lt;sub&amp;gt; j&amp;lt;/sub&amp;gt;&#039;&#039;, and the denominator is a similar product of reactant activities. All activities refer to a time &#039;&#039;t&#039;&#039;.&lt;br /&gt;
&lt;br /&gt;
As the reaction proceeds (assuming that there is no [[energy barrier]] to the reaction) with the passage of time the species&#039; activities and hence the reaction quotient change. Eventually the activities become constant and the mixture is then said to be at equilibrium. An [[equilibrium constant]], &#039;&#039;K&#039;&#039;, can be expressed symbolically as&lt;br /&gt;
:&#039;&#039;&#039;K&#039;&#039;&#039; = &#039;&#039;&#039;Q&amp;lt;sub&amp;gt;r&amp;lt;/sub&amp;gt;&#039;&#039;&#039; (t=&amp;amp;infin;)&lt;br /&gt;
though equilibrium will be effectively reached in a finite time in most reactions.&lt;br /&gt;
&lt;br /&gt;
==External links==&lt;br /&gt;
Reaction quotient tutorials &lt;br /&gt;
*[http://elchem.kaist.ac.kr/vt/chem-ed/courses/equil/intro/reactquo.htm tutorial I]&lt;br /&gt;
*[http://www.chem.purdue.edu/gchelp/howtosolveit/Equilibrium/Reaction_Quotient.htm tutorial II]&lt;br /&gt;
*[http://www.cartage.org.lb/en/themes/sciences/chemistry/Miscellenous/Helpfile/Equilibrium/ReactionQuotient.htm tutorial III]&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
{{reflist}}&lt;br /&gt;
&lt;br /&gt;
{{Chemical equilibria}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Equilibrium chemistry]]&lt;br /&gt;
[[Category:Physical chemistry]]&lt;/div&gt;</summary>
		<author><name>124.181.200.70</name></author>
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