Stockmayer potential: Difference between revisions

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For this reason the potential is sometimes known as the Stockmayer 12-6-3 potential.
For this reason the potential is sometimes known as the Stockmayer 12-6-3 potential.
==Critical properties==
==Critical properties==
In the range <math>0 \leq \mu^* \leq 2.45</math> (Ref. 1)
:<math>T_c^* = 1.313 + 0.2999\mu^{*2} -0.2837 \ln(\mu^{*2} +1)</math>
:<math>T_c^* = 1.313 + 0.2999\mu^{*2} -0.2837 \ln(\mu^{*2} +1)</math>
:<math>\rho_c^* = 0.3009 - 0.00785\mu^{*2} - 0.00198\mu^{*4}</math>
:<math>\rho_c^* = 0.3009 - 0.00785\mu^{*2} - 0.00198\mu^{*4}</math>
:<math>P_c^* = 0.127 + 0.0023\mu^{*2}</math>
:<math>P_c^* = 0.127 + 0.0023\mu^{*2}</math>
==References==
==References==
#[http://dx.doi.org/10.1080/00268979400100294 M. E. Van Leeuwe "Deviation from corresponding-states behaviour for polar fluids", Molecular Physics '''82''' pp. 383-392 (1994)]
#[http://dx.doi.org/10.1080/00268979400100294 M. E. Van Leeuwe "Deviation from corresponding-states behaviour for polar fluids", Molecular Physics '''82''' pp. 383-392 (1994)]
{{numeric}}
{{numeric}}
[[category: models]]
[[category: models]]

Revision as of 18:34, 23 January 2008

The Stockmayer potential consists of the Lennard-Jones model with an embedded point dipole. Thus the Stockmayer potential becomes:

where:

  • is the intermolecular pair potential between two particles at a distance r;
  • is the diameter (length), i.e. the value of at  ;
  •  : well depth (energy)
  • is the permittivity of the vacuum
  • is the dipole moment
  • is the inclination of the two dipole axes with respect to the intermolecular axis.
  • is the azimuth angle between the two dipole moments

If one defines the reduced dipole moment,

one can rewrite the expression as

For this reason the potential is sometimes known as the Stockmayer 12-6-3 potential.

Critical properties

In the range (Ref. 1)

References

  1. M. E. Van Leeuwe "Deviation from corresponding-states behaviour for polar fluids", Molecular Physics 82 pp. 383-392 (1994)
This page contains numerical values and/or equations. If you intend to use ANY of the numbers or equations found in SklogWiki in any way, you MUST take them from the original published article or book, and cite the relevant source accordingly.