Stockmayer potential

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The Stockmayer potential consists of the Lennard-Jones model with an embedded point dipole. Thus the Stockmayer potential becomes (Eq. 1 [1]):


  • is the intermolecular pair potential between two particles at a distance
  • is the diameter (length), i.e. the value of at
  • represents the well depth (energy)
  • is the permittivity of the vacuum
  • is the dipole moment
  • and are the angles associated with 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 a reduced dipole moment, , such that:

one can rewrite the expression as

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

Critical properties[edit]

In the range [2]:

Bridge function[edit]

A bridge function for use in integral equations has been calculated by Puibasset and Belloni [3].


  1. W. H. Stockmayer "Second Virial Coefficients of Polar Gases", Journal of Chemical Physics 9 pp. 398-402 (1941)
  2. M.E. Van Leeuwen "Deviation from corresponding-states behaviour for polar fluids", Molecular Physics 82 pp. 383-392 (1994)
  3. Joël Puibasset and Luc Belloni "Bridge function for the dipolar fluid from simulation", Journal of Chemical Physics 136 154503 (2012)

Related reading

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