# Difference between revisions of "Mayer f-function"

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− | The '''Mayer ''f''-function''', or ''f-bond'' is defined as: | + | The '''Mayer ''f''-function''', or ''f-bond'' is defined as (Ref. 1 Chapter 13 Eq. 13.2): |

:<math>f_{12}=f({\mathbf r}_{12})= \exp\left(-\frac{\Phi_{12}(r)}{k_BT}\right) -1 </math> | :<math>f_{12}=f({\mathbf r}_{12})= \exp\left(-\frac{\Phi_{12}(r)}{k_BT}\right) -1 </math> |

## Revision as of 13:50, 31 July 2007

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.

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.

## References

- 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)