exp-6 potential

The exp-6 potential (or Exp-Six potential) is a modified form of the Buckingham potential and is given by (Eq. 1 in ):

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \Phi _{12}(r)={\frac {\epsilon }{1-6/\alpha }}\left[\left({\frac {6}{\alpha }}\right)\exp \left[\alpha \left(1-{\frac {r}{r_{min}}}\right)\right]-\left({\frac {r_{min}}{r}}\right)^{6}\right]}

where

• $r:=|\mathbf {r} _{1}-\mathbf {r} _{2}|$
• 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 between two particles or sites
• 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 r_{min} } is the value of 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 r} at which 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 a minimum.
• 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 \epsilon } is the well depth (energy)
• 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 \alpha} is the "steepness" of the repulsive energy

Melting point

An approximate method to locate the melting point is given in . See also .

See also

• Buckingham potential
• Lennard-Jones model

References

Related reading

• Marvin Ross and Berni Alder "Shock Compression of Argon. II. Nonadditive Repulsive Potential", Journal of Chemical Physics 46 pp. 4203-4210 (1967)
• Marvin Ross and F. H. Ree "Repulsive forces of simple molecules and mixtures at high density and temperature", Journal of Chemical Physics 73 pp. 6146-6152 (1980)
• Teik-Cheng Lim "Scaling Function Between the Exponential-6 and the Generalized Lennard-Jones Potential Functions", Journal of Mathematical Chemistry 33 pp. 279-285 (2003)