# Difference between revisions of "Mayer f-function"

m (link to Boltzmann factor) |
Carl McBride (talk | contribs) m (Defined as) |
||

Line 1: | Line 1: | ||

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

where | where |

## Latest revision as of 18:50, 20 February 2015

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)