# Mayer f-function

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The **Mayer f-function**, or

*f-bond*is defined as (Ref. 1 Chapter 13 Eq. 13.2):

where

- is the Boltzmann constant.
- is the temperature.
- is the intermolecular pair potential.

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[edit]

For the hard sphere model the Mayer *f*-function becomes:

where is the hard sphere diameter.

## References[edit]

- 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)