Born-Huggins-Meyer potential

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The Born-Huggins-Meyer potential (although looking at the authors/publications perhaps it would be more precisely known as the Born-Meyer-Huggins potential) [1] [2] [3] is given by [4]

\[\Phi_{12}(r) = A \exp \left[ B(\sigma - r) \right] - \frac{C}{r^6} - \frac{D}{r^8} \]

where

  • \(r := |\mathbf{r}_1 - \mathbf{r}_2|\)
  • \( \Phi_{12}(r) \) is the intermolecular pair potential between two particles or sites
  • \( \sigma \) is the diameter (length), i.e. the value of \(r\) at which \( \Phi_{12}(r)=0\)

The first term is an exponential repulsion, followed by dipole-dipole and dipole-quadrupole dispersion terms. This potential is often augmented with a Coulombic interaction.

This potential is often used to study alkali halides.

[edit] References

  1. Max Born and Joseph E. Mayer "Zur Gittertheorie der Ionenkristalle", Zeitschrift für Physik A Hadrons and Nuclei 75 pp. 1-18 (1932)
  2. Maurice L. Huggins and Joseph E. Mayer "Interatomic Distances in Crystals of the Alkali Halides", Journal of Chemical Physics 1 pp. 643- (1933)
  3. Joseph E. Mayer "Dispersion and Polarizability and the van der Waals Potential in the Alkali Halides", Journal of Chemical Physics 1 pp. 270- (1933)
  4. functional form taken from the DL_POLY manual (Table 4.12)
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