E3B water model: Difference between revisions

From SklogWiki
Jump to navigation Jump to search
(Added the model)
(Corrected citations for E3B2 and E3B3 sections.)
 
(2 intermediate revisions by one other user not shown)
Line 1: Line 1:
{{Stub-water}}
The '''E3B''' (explicit [[Many-body interactions |three-body]]) model<ref>[http://dx.doi.org/10.1021/jp8009468 R. Kumar and J. L. Skinner "Water Simulation Model with Explicit Three-Molecule Interactions", The Journal of Physical Chemistry B '''112''' pp. 8311-8318 (2008)]</ref><ref name="E3B2">[http://dx.doi.org/10.1063/1.3587053 C. J. Tainter, P. A. Pieniazek, Y.-S. Lin, and J. L. Skinner "Robust three-body water simulation model", Journal of Chemical Physics '''134''' 184501 (2011)]</ref> of [[water]].  
The '''E3B''' (effective [[Many-body interactions |three-body]]) model<ref>[http://dx.doi.org/10.1021/jp8009468 R. Kumar and J. L. Skinner "Water Simulation Model with Explicit Three-Molecule Interactions", The Journal of Physical Chemistry B '''112''' pp. 8311-8318 (2008)]</ref><ref>[http://dx.doi.org/10.1063/1.3587053 C. J. Tainter, P. A. Pieniazek, Y.-S. Lin, and J. L. Skinner "Robust three-body water simulation model", Journal of Chemical Physics '''134''' 184501 (2011)]</ref> of [[water]].  
==Parameters==
==Parameters==
The E3B potential is given by
The E3B potential is given by
Line 10: Line 9:
:<math>E_{ij} = E_{ij}^{\mathrm{TIP4P}} + E_2 e^{-k_2r_{ij}} </math>
:<math>E_{ij} = E_{ij}^{\mathrm{TIP4P}} + E_2 e^{-k_2r_{ij}} </math>


where <math>E_{ij}^{\mathrm{TIP4P}}</math> represents the [[TIP4P model of water]]
where <math>E_{ij}^{\mathrm{TIP4P}}</math> represents the [[TIP4P model of water]],
 
<math>E_2 = 2.349\times10^6</math> kJ/mol, <math>k_2 = 4.872</math> &Aring;<sup>-1</sup>,
and
and


:<math>\Delta E_{ijk}  =\Delta E_{ijk}^A  +  \Delta E_{ijk}^B  +  \Delta E_{ijk}^C </math>
:<math>\Delta E_{ijk}  =\Delta E_{ijk}^A  +  \Delta E_{ijk}^B  +  \Delta E_{ijk}^C </math>


where <math>E_2 = 2.349\times10^6</math> kJ/mol, <math>k_2 = 4.872</math> &Aring;<sup>-1</sup>, <math>E^A = 1745.7</math> kJ/mol, <math>E^B = -4565.0</math> kJ/mol, and <math>E^C = 7606.8</math> kJ/mol.
where <math>E^A = 1745.7</math> kJ/mol, <math>E^B = -4565.0</math> kJ/mol, and <math>E^C = 7606.8</math> kJ/mol.
==E3B2==
<ref name="E3B2" />
==E3B3==
<ref>[http://dx.doi.org/10.1021/acs.jctc.5b00117 Craig J. Tainter, Liang Shi, and James L. Skinner "Reparametrized E3B (Explicit Three-Body) Water Model Using the TIP4P/2005 Model as a Reference", Journal of Chemical Theory and Computation '''11''' pp. 2268-2277 (2015)]</ref>
<ref>[http://dx.doi.org/10.1063/1.4952991  Yicun Ni and J. L. Skinner "Evidence for a liquid-liquid critical point in supercooled water within the E3B3 model and a possible interpretation of the kink in the homogeneous nucleation line", Journal of Chemical Physics '''144''' 214501 (2016)]</ref>
==References==
==References==
<references/>
<references/>
[[category: water]]
[[category: water]]
[[category: models]]
[[category: models]]

Latest revision as of 11:03, 3 March 2025

The E3B (explicit three-body) model[1][2] of water.

Parameters[edit]

The E3B potential is given by

where

where represents the TIP4P model of water, kJ/mol, Å-1, and

where kJ/mol, kJ/mol, and kJ/mol.

E3B2[edit]

[2]

E3B3[edit]

[3] [4]

References[edit]