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| *[[Binary hard sphere mixture: virial coefficients| Binary hard sphere mixtures]]
| | The virial equation of state is used to describe the behavior of diluted gases. |
| *[[Gaussian overlap model: virial coefficients | Gaussian overlap model]]
| | It is usually written as an expansion of the compresiblity factor, <math> Z </math> in terms of either the |
| *[[Hard ellipsoids: virial coefficients|Hard ellipsoids]]
| | density or the pressure. In the first case: |
| *[[Hard sphere: virial coefficients|Hard disks]]
| | |
| *[[Hard sphere: virial coefficients|Hard spheres]] | | <math> \frac{p V}{N k_B T } = Z = 1 + \sum_{k=2}^{\infty} B_k(T) \rho^{k-1}. |
| *[[Hard spherocylinders: virial coefficients | Hard spherocylinders]]
| | </math> |
| *[[Lennard-Jones model: virial coefficients| Lennard-Jones model]] | | |
| *[[Square well potential: virial coefficients|Square well potential]]
| | where |
| *[[Two-center Lennard-Jones model: virial coefficients| Two-center Lennard-Jones model]] | | |
| ==Interesting reading==
| | * <math> p </math> is the pressure |
| *[http://dx.doi.org/10.1103/RevModPhys.25.831 Taro Kihara "Virial Coefficients and Models of Molecules in Gases", Reviews of Modern Physics '''25''' pp. 831-843 (1953)] | | |
| [[Category:Virial coefficients]]
| | *<math> V </math> is the volume |
| | |
| | *<math> N </math> is the number of molecules |
| | |
| | *<math> \rho \equiv \frac{N}{V} </math> is the (number) density |
| | |
| | *<math> B_k </math> is called the k-th virial coefficient |