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	<entry>
		<id>http://www.sklogwiki.org/SklogWiki/index.php?title=SPC/E_model_of_water&amp;diff=20627</id>
		<title>SPC/E model of water</title>
		<link rel="alternate" type="text/html" href="http://www.sklogwiki.org/SklogWiki/index.php?title=SPC/E_model_of_water&amp;diff=20627"/>
		<updated>2023-11-23T15:10:55Z</updated>

		<summary type="html">&lt;p&gt;Oliveirajs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{Stub-water}}&lt;br /&gt;
The &#039;&#039;&#039;SPC/E&#039;&#039;&#039; (extended simple point charge model) &amp;lt;ref&amp;gt;[http://dx.doi.org/10.1021/j100308a038  H. J. C. Berendsen, J. R. Grigera, and T. P. Straatsma &amp;quot;The missing term in effective pair potentials&amp;quot;, Journal of Physical Chemistry &#039;&#039;&#039;91&#039;&#039;&#039; pp. 6269 - 6271 (1987)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.2841127 Swaroop Chatterjee, Pablo G. Debenedetti, Frank H. Stillinger, and Ruth M. Lynden-Bell &amp;quot;A computational investigation of thermodynamics, structure, dynamics and solvation behavior in modified water models&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;128&#039;&#039;&#039; 124511 (2008)]&amp;lt;/ref&amp;gt; is a slight reparameterisation  of the [[SPC]] model of [[water]], with a modified value for &amp;lt;math&amp;gt;q_{\mathrm{O}}&amp;lt;/math&amp;gt;.&lt;br /&gt;
The molecule is modelled as&lt;br /&gt;
a rigid isosceles triangle, having charges situated on each of the three atoms. Apart from Coulombic interactions, the molecules interact via long-range [[Lennard-Jones model | Lennard-Jones]] sites, situated  on the  oxygen atoms. The parameters are as follows:&lt;br /&gt;
[[Image:Thee_site_water_model.png‎|center|400px]]&lt;br /&gt;
{| border=&amp;quot;1&amp;quot;&lt;br /&gt;
|- &lt;br /&gt;
| parameter || value&lt;br /&gt;
|-  &lt;br /&gt;
| &amp;lt;math&amp;gt;\sigma&amp;lt;/math&amp;gt; || &amp;lt;math&amp;gt; 3.166 &amp;lt;/math&amp;gt; &amp;amp;Aring; &lt;br /&gt;
|-&lt;br /&gt;
| &amp;lt;math&amp;gt;\epsilon&amp;lt;/math&amp;gt; || &amp;lt;math&amp;gt;0.650&amp;lt;/math&amp;gt; kJ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| &amp;lt;math&amp;gt;r_\mathrm{OH}&amp;lt;/math&amp;gt; || &amp;lt;math&amp;gt;1.000&amp;lt;/math&amp;gt; &amp;amp;Aring;&lt;br /&gt;
|-&lt;br /&gt;
| &amp;lt;math&amp;gt;\angle_\mathrm{HOH}&amp;lt;/math&amp;gt; || &amp;lt;math&amp;gt;109.47^{\circ}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| &amp;lt;math&amp;gt;q_{\mathrm{O}}&amp;lt;/math&amp;gt; ||  &amp;lt;math&amp;gt;-0.8476 e&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| &amp;lt;math&amp;gt;q_{\mathrm{H}}&amp;lt;/math&amp;gt; ||  &amp;lt;math&amp;gt;|q_{\mathrm{O}}|/2&amp;lt;/math&amp;gt; (charge neutrality)&lt;br /&gt;
|}&lt;br /&gt;
The SPC/E model has a [[dipole moment]] of 2.351 D. (Ref. 1 Table I).&lt;br /&gt;
==Surface tension==&lt;br /&gt;
The [[surface tension]] has been studied for the SPC/E model by Vega and Miguel&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.2715577 C. Vega and E. de Miguel &amp;quot;Surface tension of the most popular models of water by using the test-area simulation method&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;126&#039;&#039;&#039; 154707 (2007)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
==Phase diagram==&lt;br /&gt;
[[Image:SPC_E_phase_diagram.png|right|400px]]&lt;br /&gt;
===Plastic crystal phases===&lt;br /&gt;
Recent simulations have demonstrated the existence of  [[Plastic crystals | plastic crystal]] phases for the SPC/E model.&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.3156856  J. L. Aragones and C. Vega &amp;quot;Plastic crystal phases of simple water models&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;130&#039;&#039;&#039; 244504 (2009)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[https://doi.org/10.1021/acs.jpcb.1c05053  I. Skarmoutsos, A. Henao, J. Samios and E. Guardia &amp;quot;On the Different Faces of the Supercritical Phase of Water at a Near-Critical Temperature: Pressure-Induced Structural Transitions Ranging from a Gaslike Fluid to a Plastic Crystal Polymorph&amp;quot;, Journal of Physical Chemistry B &#039;&#039;&#039;125&#039;&#039;&#039; 10260 (2022)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
==Shear viscosity==&lt;br /&gt;
The [[shear viscosity]] for the SPC/E model is 0.729 mPa.s at 298 K and 1 bar &amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.3330544 Miguel Angel González and José L. F. Abascal &amp;quot;The shear viscosity of rigid water models&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;132&#039;&#039;&#039; 096101 (2010)]&amp;lt;/ref&amp;gt; (experimental value 0.896  mPa.s &amp;lt;ref&amp;gt;[http://dx.doi.org/10.1021/je049918m Kenneth R. Harris and Lawrence A. Woolf &amp;quot;Temperature and Volume Dependence of the Viscosity of Water and Heavy Water at Low Temperatures&amp;quot;, Journal of Chemical &amp;amp; Engineering Data &#039;&#039;&#039;49&#039;&#039;&#039; pp. 1064-1069 (2004)]&amp;lt;/ref&amp;gt;).&lt;br /&gt;
&lt;br /&gt;
==Thermal conductivity==&lt;br /&gt;
[[Thermal conductivity]] &amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.4739855  Frank Römer, Anders Lervik, and Fernando Bresme &amp;quot;Nonequilibrium molecular dynamics simulations of the thermal conductivity of water: A systematic investigation of the SPC/E and TIP4P/2005 models&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;137&#039;&#039;&#039; 074503 (2012)]&amp;lt;/ref&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&amp;lt;references/&amp;gt;&lt;br /&gt;
;Related reading&lt;br /&gt;
*[http://dx.doi.org/10.1063/1.3548869  Péter T. Kiss and András Baranyai &amp;quot;Sources of the deficiencies in the popular SPC/E and TIP3P models of water&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;134&#039;&#039;&#039; 054106 (2011)]&lt;br /&gt;
[[category: water]]&lt;br /&gt;
[[category: models]]&lt;/div&gt;</summary>
		<author><name>Oliveirajs</name></author>
	</entry>
	<entry>
		<id>http://www.sklogwiki.org/SklogWiki/index.php?title=SPC/E_model_of_water&amp;diff=20626</id>
		<title>SPC/E model of water</title>
		<link rel="alternate" type="text/html" href="http://www.sklogwiki.org/SklogWiki/index.php?title=SPC/E_model_of_water&amp;diff=20626"/>
		<updated>2023-11-23T15:10:19Z</updated>

		<summary type="html">&lt;p&gt;Oliveirajs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{Stub-water}}&lt;br /&gt;
The &#039;&#039;&#039;SPC/E&#039;&#039;&#039; (extended simple point charge model) &amp;lt;ref&amp;gt;[http://dx.doi.org/10.1021/j100308a038  H. J. C. Berendsen, J. R. Grigera, and T. P. Straatsma &amp;quot;The missing term in effective pair potentials&amp;quot;, Journal of Physical Chemistry &#039;&#039;&#039;91&#039;&#039;&#039; pp. 6269 - 6271 (1987)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.2841127 Swaroop Chatterjee, Pablo G. Debenedetti, Frank H. Stillinger, and Ruth M. Lynden-Bell &amp;quot;A computational investigation of thermodynamics, structure, dynamics and solvation behavior in modified water models&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;128&#039;&#039;&#039; 124511 (2008)]&amp;lt;/ref&amp;gt; is a slight reparameterisation  of the [[SPC]] model of [[water]], with a modified value for &amp;lt;math&amp;gt;q_{\mathrm{O}}&amp;lt;/math&amp;gt;.&lt;br /&gt;
The molecule is modelled as&lt;br /&gt;
a rigid isosceles triangle, having charges situated on each of the three atoms. Apart from Coulombic interactions, the molecules interact via long-range [[Lennard-Jones model | Lennard-Jones]] sites, situated  on the  oxygen atoms. The parameters are as follows:&lt;br /&gt;
[[Image:Thee_site_water_model.png‎|center|400px]]&lt;br /&gt;
{| border=&amp;quot;1&amp;quot;&lt;br /&gt;
|- &lt;br /&gt;
| parameter || value&lt;br /&gt;
|-  &lt;br /&gt;
| &amp;lt;math&amp;gt;\sigma&amp;lt;/math&amp;gt; || &amp;lt;math&amp;gt; 3.166 &amp;lt;/math&amp;gt; &amp;amp;Aring; &lt;br /&gt;
|-&lt;br /&gt;
| &amp;lt;math&amp;gt;\epsilon&amp;lt;/math&amp;gt; || &amp;lt;math&amp;gt;0.650&amp;lt;/math&amp;gt; kJ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| &amp;lt;math&amp;gt;r_\mathrm{OH}&amp;lt;/math&amp;gt; || &amp;lt;math&amp;gt;1.000&amp;lt;/math&amp;gt; &amp;amp;Aring;&lt;br /&gt;
|-&lt;br /&gt;
| &amp;lt;math&amp;gt;\angle_\mathrm{HOH}&amp;lt;/math&amp;gt; || &amp;lt;math&amp;gt;109.47^{\circ}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| &amp;lt;math&amp;gt;q_{\mathrm{O}}&amp;lt;/math&amp;gt; ||  &amp;lt;math&amp;gt;-0.8476 e&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| &amp;lt;math&amp;gt;q_{\mathrm{H}}&amp;lt;/math&amp;gt; ||  &amp;lt;math&amp;gt;|q_{\mathrm{O}}|/2&amp;lt;/math&amp;gt; (charge neutrality)&lt;br /&gt;
|}&lt;br /&gt;
The SPC/E model has a [[dipole moment]] of 2.351 D. (Ref. 1 Table I).&lt;br /&gt;
==Surface tension==&lt;br /&gt;
The [[surface tension]] has been studied for the SPC/E model by Vega and Miguel&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.2715577 C. Vega and E. de Miguel &amp;quot;Surface tension of the most popular models of water by using the test-area simulation method&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;126&#039;&#039;&#039; 154707 (2007)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
==Phase diagram==&lt;br /&gt;
[[Image:SPC_E_phase_diagram.png|right|400px]]&lt;br /&gt;
===Plastic crystal phases===&lt;br /&gt;
Recent simulations have demonstrated the existence of  [[Plastic crystals | plastic crystal]] phases for the SPC/E model.&lt;br /&gt;
&amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.3156856  J. L. Aragones and C. Vega &amp;quot;Plastic crystal phases of simple water models&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;130&#039;&#039;&#039; 244504 (2009)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref&amp;gt;[https://doi.org/10.1021/acs.jpcb.1c05053  I. Skarmoutsos, A. Henao, J.Samios and E. Guardia &amp;quot;On the Different Faces of the Supercritical Phase of Water at a Near-Critical Temperature: Pressure-Induced Structural Transitions Ranging from a Gaslike Fluid to a Plastic Crystal Polymorph&amp;quot;, Journal of Physical Chemistry B &#039;&#039;&#039;125&#039;&#039;&#039; 10260 (2022)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
==Shear viscosity==&lt;br /&gt;
The [[shear viscosity]] for the SPC/E model is 0.729 mPa.s at 298 K and 1 bar &amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.3330544 Miguel Angel González and José L. F. Abascal &amp;quot;The shear viscosity of rigid water models&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;132&#039;&#039;&#039; 096101 (2010)]&amp;lt;/ref&amp;gt; (experimental value 0.896  mPa.s &amp;lt;ref&amp;gt;[http://dx.doi.org/10.1021/je049918m Kenneth R. Harris and Lawrence A. Woolf &amp;quot;Temperature and Volume Dependence of the Viscosity of Water and Heavy Water at Low Temperatures&amp;quot;, Journal of Chemical &amp;amp; Engineering Data &#039;&#039;&#039;49&#039;&#039;&#039; pp. 1064-1069 (2004)]&amp;lt;/ref&amp;gt;).&lt;br /&gt;
&lt;br /&gt;
==Thermal conductivity==&lt;br /&gt;
[[Thermal conductivity]] &amp;lt;ref&amp;gt;[http://dx.doi.org/10.1063/1.4739855  Frank Römer, Anders Lervik, and Fernando Bresme &amp;quot;Nonequilibrium molecular dynamics simulations of the thermal conductivity of water: A systematic investigation of the SPC/E and TIP4P/2005 models&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;137&#039;&#039;&#039; 074503 (2012)]&amp;lt;/ref&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&amp;lt;references/&amp;gt;&lt;br /&gt;
;Related reading&lt;br /&gt;
*[http://dx.doi.org/10.1063/1.3548869  Péter T. Kiss and András Baranyai &amp;quot;Sources of the deficiencies in the popular SPC/E and TIP3P models of water&amp;quot;, Journal of Chemical Physics &#039;&#039;&#039;134&#039;&#039;&#039; 054106 (2011)]&lt;br /&gt;
[[category: water]]&lt;br /&gt;
[[category: models]]&lt;/div&gt;</summary>
		<author><name>Oliveirajs</name></author>
	</entry>
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