Mayer f-function

The Mayer f-function, or f-bond is defined as:

$f_{12}=f(r_{12})=\exp \left(-{\frac {\Phi _{12}(r)}{k_{B}T}}\right)-1$

where

• $k_{B}$ is the Boltzmann constant.
• Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle T} is the temperature.
• Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Phi_{12}(r)} is the intermolecular pair potential.

Diagrammatically the Mayer f-function is written as

References

1. Joseph E. Mayer "Contribution to Statistical Mechanics", Journal of Chemical Physics 10 pp. 629-643 (1942)