Argon: Difference between revisions

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m (Corrected typo in title of paper)
m (Started a section on the BBMS potential)
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:<math>E(r) = 1.69 \times 10^{-8} e^{-r/0.273} -102 \times 10^{-12} r^{-6} </math>
:<math>E(r) = 1.69 \times 10^{-8} e^{-r/0.273} -102 \times 10^{-12} r^{-6} </math>
where <math>E</math> is in ergs ( 10<sup>−7</sup> J) and <math>r</math> in &#8491;.
where <math>E</math> is in ergs ( 10<sup>−7</sup> J) and <math>r</math> in &#8491;.
==BBMS potential==
The Bobetic-Barker-Maitland-Smith potential <ref>[http://dx.doi.org/10.1103/PhysRevB.2.4169 M. V. Bobetic and J. A. Barker "Lattice Dynamics with Three-Body Forces: Argon", Physical Review B '''2''' 4169-4175 (1970)]</ref> <ref>[http://dx.doi.org/10.1080/00268977100103181 G. C. Maitland and E. B. Smith "The intermolecular pair potential of argon", Molecular Physics '''22''' pp. 861-868 (1971)]</ref>.
==Radial distribution function==
==Radial distribution function==
[[Radial distribution function]]
[[Radial distribution function]]

Revision as of 15:36, 10 February 2010

Argon (Ar) has a mass of 39.948 umas. One of the first computer simulations of liquid argon was that of Rahman in 1964 [1]. Sadus and Prausnitz have shown that three-body repulsion makes a significant contribution to three-body interactions in the liquid phase [2] (for use of the Axilrod-Teller interaction see [3] [4]). However, the generic Lennard-Jones model has been frequently used due to its simplicity; some parameters are quoted in the next section. A specific interatomic potential for Ar has been proposed by Aziz [5].

Thermophysical properties (experimental)

Property [6] Temperature Pressure
Triple point 83.8058 K 69 kPa
Critical point 150.87 K 4.898 MPa
Melting point 83.80 K
Boiling point 87.30 K

Lennard-Jones parameters

The Lennard-Jones model for argon.

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 [7]
Barker, Fisher and Watts 142.095 0.33605 [8]
White 125.7 0.3345 [9] parameter set #4

Buckingham potential

The Buckingham potential for argon is given by (Eq. 27 [10]):

where is in ergs ( 10−7 J) and in Å.

BBMS potential

The Bobetic-Barker-Maitland-Smith potential [11] [12].

Radial distribution function

Radial distribution function

Quantum simulations

References

  1. A. Rahman "Correlations in the Motion of Atoms in Liquid Argon", Physical Review 136 pp. A405–A411 (1964)
  2. 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)
  3. 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)
  4. 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)
  5. Ronald A. Aziz "A highly accurate interatomic potential for argon", Journal of Chemical Physics 99 p. 4518 (1993)
  6. Physical properties of Argon on webelements
  7. 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)
  8. 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)
  9. 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)
  10. R. A. Buckingham "The Classical Equation of State of Gaseous Helium, Neon and Argon", Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences 168 pp. 264-283 (1938)
  11. M. V. Bobetic and J. A. Barker "Lattice Dynamics with Three-Body Forces: Argon", Physical Review B 2 4169-4175 (1970)
  12. G. C. Maitland and E. B. Smith "The intermolecular pair potential of argon", Molecular Physics 22 pp. 861-868 (1971)

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