Argon: Difference between revisions

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[[Image:Lennard-Jones.png|thumb| The Lennard-Jones model for argon.]]
[[Image:Lennard-Jones.png|thumb| The Lennard-Jones model for argon.]]
'''Argon''' has a mass of 39.948 [[atomic mass units | umas]]. Sadus and Prausnitz have shown that three-body repulsion makes a significant contribution to [[Idealised models#Three-body potentials|three-body interactions]] in the liquid phase (Ref. 4) (for use of the [[Axilrod-Teller interaction]] see Refs. 5 and 6). However, the [[Lennard-Jones model]] has been frequently used due to its simplicity.
'''Argon''' has a mass of 39.948 [[atomic mass units | umas]]. Sadus and Prausnitz have shown that three-body repulsion makes a significant contribution to [[Idealised models#Three-body potentials|three-body interactions]] in the liquid phase (Ref. 5) (for use of the [[Axilrod-Teller interaction]] see Refs. 6 and 7). However, the [[Lennard-Jones model]] has been frequently used due to its simplicity.
==Lennard-Jones parameters==
==Lennard-Jones parameters==
The [[Lennard-Jones model |Lennard-Jones]] parameters for liquid argon are listed in the following table:
The [[Lennard-Jones model |Lennard-Jones]] parameters for liquid argon are listed in the following table:
{| border="1"
{| border="1"
|-  
|-  
| Authors || <math>\epsilon/k_B</math> (K) || <math>\sigma</math>  (nm)|| Ref.
| Authors || <math>\epsilon/k_B</math> (K) || <math>\sigma</math>  (nm)|| Reference
|-  
|-  
| Rowley, Nicholson and Parsonage || 119.8  || 0.3405  || Ref. 7
| Rowley, Nicholson and Parsonage || 119.8  || 0.3405  || Ref. 8
|-  
|-  
|Barker, Fisher and Watts  ||142.095  ||  0.33605  || Ref. 8
|Barker, Fisher and Watts  ||142.095  ||  0.33605  || Ref. 9
|-  
|-  
| White  || 125.7  ||  0.3345    || Ref. 9 parameter set #4
| White  || 125.7  ||  0.3345    || Ref. 10 parameter set #4
|}
|}
==References==
==References==
#[http://dx.doi.org/10.1080/00268976400100611 H. C. Longuet-Higgins and  B. Widom "A rigid sphere model for the melting of argon", Molecular Physics '''8''' pp. 549-556 (1964)]
#[http://dx.doi.org/10.1080/00268976400100611 H. C. Longuet-Higgins and  B. Widom "A rigid sphere model for the melting of argon", Molecular Physics '''8''' pp. 549-556 (1964)]
#[http://dx.doi.org/10.1080/00268976800100721 D. Henderson and J. A. Barker "On the solidification of argon", Molecular Physics '''14''' pp. 587-589 (1968)]
#[http://dx.doi.org/10.1080/00268976800100721 D. Henderson and J. A. Barker "On the solidification of argon", Molecular Physics '''14''' pp. 587-589 (1968)]
#[http://dx.doi.org/10.1080/00268977100101821 J. A. Barker, R. A. Fisher and R. O. Watts "Liquid argon: Monte Carlo and molecular dynamics calculations", Molecular Physics '''21''' pp. 657-673 (1971)]
#[http://dx.doi.org/10.1103/PhysRevA.5.2238  F. Lado "Numerical Calculation of the Density Autocorrelation Function for Liquid Argon", Physical Review A '''5''' pp. 2238-2244 (1972)]
#[http://dx.doi.org/10.1103/PhysRevA.5.2238  F. Lado "Numerical Calculation of the Density Autocorrelation Function for Liquid Argon", Physical Review A '''5''' pp. 2238-2244 (1972)]
#[http://dx.doi.org/10.1063/1.471172 Richard J. Sadus and J. M. Prausnitz "Three-body interactions in fluids from molecular simulation: Vapor–liquid phase coexistence of argon", Journal of Chemical Physics '''104''' pp. 4784-4787 (1996)]
#[http://dx.doi.org/10.1063/1.471172 Richard J. Sadus and J. M. Prausnitz "Three-body interactions in fluids from molecular simulation: Vapor–liquid phase coexistence of argon", Journal of Chemical Physics '''104''' pp. 4784-4787 (1996)]

Revision as of 11:50, 5 August 2008

The Lennard-Jones model for argon.

Argon has a mass of 39.948 umas. Sadus and Prausnitz have shown that three-body repulsion makes a significant contribution to three-body interactions in the liquid phase (Ref. 5) (for use of the Axilrod-Teller interaction see Refs. 6 and 7). However, the Lennard-Jones model has been frequently used due to its simplicity.

Lennard-Jones parameters

The Lennard-Jones parameters for liquid argon are listed in the following table:

Authors (K) (nm) Reference
Rowley, Nicholson and Parsonage 119.8 0.3405 Ref. 8
Barker, Fisher and Watts 142.095 0.33605 Ref. 9
White 125.7 0.3345 Ref. 10 parameter set #4

References

  1. H. C. Longuet-Higgins and B. Widom "A rigid sphere model for the melting of argon", Molecular Physics 8 pp. 549-556 (1964)
  2. D. Henderson and J. A. Barker "On the solidification of argon", Molecular Physics 14 pp. 587-589 (1968)
  3. J. A. Barker, R. A. Fisher and R. O. Watts "Liquid argon: Monte Carlo and molecular dynamics calculations", Molecular Physics 21 pp. 657-673 (1971)
  4. F. Lado "Numerical Calculation of the Density Autocorrelation Function for Liquid Argon", Physical Review A 5 pp. 2238-2244 (1972)
  5. Richard J. Sadus and J. M. Prausnitz "Three-body interactions in fluids from molecular simulation: Vapor–liquid phase coexistence of argon", Journal of Chemical Physics 104 pp. 4784-4787 (1996)
  6. Phil Attard "Pair-hypernetted-chain closure for three-body potentials: Results for argon with the Axilrod-Teller triple-dipole potential", Physical Review A 45 pp. 3659-3669 (1992)
  7. J. A. Anta, E. Lomba and M. Lombardero "Influence of three-body forces on the gas-liquid coexistence of simple fluids: The phase equilibrium of argon", Physical Review E 55 pp. 2707-2712 (1997)
  8. L. A. Rowley, D. Nicholson and N. G. Parsonage "Monte Carlo grand canonical ensemble calculation in a gas-liquid transition region for 12-6 Argon", Journal of Computational Physics 17 pp. 401-414 (1975)
  9. J. A. Barker, R. A. Fisher and R. O. Watts "Liquid argon: Monte carlo and molecular dynamics calculations", Molecular Physics 21 pp. 657-673 (1971)
  10. John A. White "Lennard-Jones as a model for argon and test of extended renormalization group calculations", Journal of Chemical Physics 111 pp. 9352-9356 (1999)
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