The Mayer f-function, or f-bond is defined as (Ref. 1 Chapter 13 Eq. 13.2):
In other words, the Mayer function is the Boltzmann factor of the interaction potential, minus one.
Diagrammatically the Mayer f-function is written as
Hard sphere model
For the hard sphere model the Mayer f-function becomes:
where is the hard sphere diameter.
- Joseph Edward Mayer and Maria Goeppert Mayer "Statistical Mechanics" John Wiley and Sons (1940)
- Joseph E. Mayer "Contribution to Statistical Mechanics", Journal of Chemical Physics 10 pp. 629-643 (1942)