# Duh Haymet

The Duh-Haymet (Ref. 1) (1995) Padé (3/2) approximation for the Bridge function for the Lennard-Jones system is (Eq. 13)

$B(\gamma^{*})= - \frac{1}{2} \gamma^{*2} \left[ \frac{1}{ \left[ 1+ \left( \frac{5\gamma^{*} +11}{7\gamma^{*} +9} \right) \gamma^{*} \right]} \right]$

where (Eq. 10)

$\left. \gamma^{*}(r) \right.= \gamma (r) - \beta \Phi_p(r)$

where $\Phi_p (r)$ is the perturbative (attractive) part of the pair potential.

## References

1. Der-Ming Duh and A. D. J. Haymet "Integral equation theory for uncharged liquids: The Lennard-Jones fluid and the bridge function", Journal of Chemical Physics 103 pp. 2625-2633 (1995)