Mayer f-function
The Mayer f-function, or f-bond is defined as:
- Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle f_{12}=f({\mathbf {r} }_{12})=\exp \left(-{\frac {\Phi _{12}(r)}{k_{B}T}}\right)-1}
where
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle k_B} is the Boltzmann constant.
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle T} is the temperature.
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Phi_{12}(r)} 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:
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f_{12}= \left\{ \begin{array}{lll} -1 & ; & r_{12} \leq \sigma ~~({\rm overlap})\\ 0 & ; & r_{12} > \sigma ~~({\rm no~overlap})\end{array} \right. }
where is the hard sphere diameter.
