Mayer f-function: Difference between revisions

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Definition:
The '''Mayer ''f''-function''', or ''f-bond'' is defined as:


:<math>f_{ij}=f(r_{ij})= \exp\left(-\frac{u(r)}{k_BT}\right) -1 </math>  
:<math>f_{12}=f(r_{12})= \exp\left(-\frac{\Phi_{12}(r)}{k_BT}\right) -1 </math>  


where
where
* <math>k_B</math> is the [[Boltzmann constant]]
* <math>k_B</math> is the [[Boltzmann constant]].
* <math>T</math> is the temperature
* <math>T</math> is the [[temperature]].
* <math>u(r)</math> is the potential
* <math>\Phi_{12}(r)</math> is the [[intermolecular pair potential]].


Diagrammatically the Mayer ''f''-function is written as
[[Image:Mayer_f_function.png]]
==References==
==References==
#[http://dx.doi.org/10.1063/1.1723631 Joseph E. Mayer "Contribution to Statistical Mechanics", Journal of Chemical Physics '''10''' pp. 629-643 (1942)]
[[Category: Statistical mechanics]]
[[Category: Statistical mechanics]]
[[Category: Integral equations]]
[[Category: Integral equations]]

Revision as of 15:27, 25 June 2007

The Mayer f-function, or f-bond is defined as:

where

Diagrammatically the Mayer f-function is written as

References

  1. Joseph E. Mayer "Contribution to Statistical Mechanics", Journal of Chemical Physics 10 pp. 629-643 (1942)