# Difference between revisions of "Mayer f-function"

Carl McBride (talk | contribs) |
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* <math>T</math> is the [[temperature]]. | * <math>T</math> is the [[temperature]]. | ||

* <math>\Phi_{12}(r)</math> is the [[intermolecular pair potential]]. | * <math>\Phi_{12}(r)</math> is the [[intermolecular pair potential]]. | ||

+ | |||

+ | In other words, the Mayer function is the [[Boltzmann factor]] of the interaction potential, | ||

+ | minus one. | ||

[[Cluster diagrams | Diagrammatically]] the Mayer ''f''-function is written as | [[Cluster diagrams | Diagrammatically]] the Mayer ''f''-function is written as |

## Revision as of 12:42, 22 February 2008

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

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)