Editing Mayer f-function

Jump to navigation Jump to search
Warning: You are not logged in. Your IP address will be publicly visible if you make any edits. If you log in or create an account, your edits will be attributed to your username, along with other benefits.

The edit can be undone. Please check the comparison below to verify that this is what you want to do, and then publish the changes below to finish undoing the edit.

Latest revision Your text
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:


:<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
Line 7: Line 7:
* <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  
Line 26: Line 23:
where <math>\sigma</math> is the hard sphere diameter.
where <math>\sigma</math> is the hard sphere diameter.
==References==
==References==
# Joseph Edward Mayer and Maria Goeppert Mayer "Statistical Mechanics" John Wiley and Sons (1940)
#[http://dx.doi.org/10.1063/1.1723631 Joseph E. Mayer "Contribution to Statistical Mechanics", Journal of Chemical Physics '''10''' pp. 629-643 (1942)]  
#[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]]
Please note that all contributions to SklogWiki are considered to be released under the Creative Commons Attribution Non-Commercial Share Alike (see SklogWiki:Copyrights for details). If you do not want your writing to be edited mercilessly and redistributed at will, then do not submit it here.
You are also promising us that you wrote this yourself, or copied it from a public domain or similar free resource. Do not submit copyrighted work without permission!

To edit this page, please answer the question that appears below (more info):

Cancel Editing help (opens in new window)