Editing Neon

Jump to navigation Jump to search
Warning: You are not logged in. Your IP address will be publicly visible if you make any edits. If you log in or create an account, your edits will be attributed to your username, along with other benefits.

The edit can be undone. Please check the comparison below to verify that this is what you want to do, and then publish the changes below to finish undoing the edit.

Latest revision Your text
Line 1: Line 1:
'''Neon''' (Ne)
'''Neon''' (Ne)
==Models==
==Lennard-Jones parameters==
====Buckingham potential====
The [[Buckingham potential]] for neon is given by (Eq. 26 <ref>[http://dx.doi.org/10.1098/rspa.1938.0173 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)]</ref>):
:<math>E(r) = 25.7 \times 10^{-10} e^{-r/0.235} -9 \times 10^{-12} r^{-6} </math>
where <math>E</math> is in ergs ( 10<sup>−7</sup> J) and <math>r</math> in &#8491;.
====HBV potential====
The Hellmann-Bich-Vogel potential <ref>[http://dx.doi.org/10.1080/00268970701843147 Robert Hellmann , Eckard Bich and Eckhard Vogel "Ab initio potential energy curve for the neon atom pair and thermophysical properties of the dilute neon gas. I. Neon–neon interatomic potential and rovibrational spectra", Molecular Physics '''106''' pp. 133-140 (2008)]</ref>.
====Lennard-Jones parameters====
Some [[Lennard-Jones model |Lennard-Jones]] parameters for neon are listed in the following table:
Some [[Lennard-Jones model |Lennard-Jones]] parameters for neon are listed in the following table:
{| border="1"
{| border="1"
Line 17: Line 10:
| Ramírez and Herrero || 3.2135  || 0.2782  ||  <ref>[http://dx.doi.org/10.1063/1.3023036 R. Ramírez and C. P. Herrero "Quantum path-integral study of the phase diagram and isotope effects of neon", Journal of Chemical Physics '''129''' 204502 (2008)]</ref>
| Ramírez and Herrero || 3.2135  || 0.2782  ||  <ref>[http://dx.doi.org/10.1063/1.3023036 R. Ramírez and C. P. Herrero "Quantum path-integral study of the phase diagram and isotope effects of neon", Journal of Chemical Physics '''129''' 204502 (2008)]</ref>
|}
|}
====Leonhard and Deiters potential====
==Buckingham potential==
<ref>[http://dx.doi.org/10.1080/00268970009483367 K. Leonhard and U. K. Deiters "Monte Carlo simulations of neon and argon using ab initio potentials", Molecular Physics '''98''' pp. 1603-1616 (2000)]</ref>.
The [[Buckingham potential]] for neon is given by (Eq. 26 <ref>[http://dx.doi.org/10.1098/rspa.1938.0173 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)]</ref>):
====NE2 potential====
:<math>E(r) = 25.7 \times 10^{-10} e^{-r/0.235} -9 \times 10^{-12} r^{-6} </math>
<ref>[http://dx.doi.org/10.1080/00268979400100494 Rolf Eggenberger, Stefan Gerber, Hanspeter Huber and Marc Welker "A new ab initio potential for the neon dimer and its application in molecular dynamics simulations of the condensed phase", Molecular Physics '''82''' pp. 689-699 (1994)]</ref>.
where <math>E</math> is in ergs ( 10<sup>−7</sup> J) and <math>r</math> in &#8491;.
=Phase diagram=
==Phase diagram==
The [[Phase diagrams |phase diagram]] for [[temperature]]s in the range of 17–50 K and [[pressure]]s between 10<sup>−2</sup> and 2×10<sup>3</sup>  bar has been calculated in Ref. 2. The [[critical points |critical point]] was located at <math>T_c =46.7 ~{\mathrm K} </math> and <math>p_c = 27.7 </math> bar (Ref. 2 Table I), and the [[triple point]] at <math>T_{tp} =24.55 ~{\mathrm K} </math> and <math>p_{tp} = 0.315 </math> bar (Ref. 2 Table II).
The [[Phase diagrams |phase diagram]] for [[temperature]]s in the range of 17–50 K and [[pressure]]s between 10<sup>−2</sup> and 2×10<sup>3</sup>  bar has been calculated in Ref. 2. The [[critical points |critical point]] was located at <math>T_c =46.7 ~{\mathrm K} </math> and <math>p_c = 27.7 </math> bar (Ref. 2 Table I), and the [[triple point]] at <math>T_{tp} =24.55 ~{\mathrm K} </math> and <math>p_{tp} = 0.315 </math> bar (Ref. 2 Table II).
====Crystallization line====
====Crystallization line====
The structural regularities along the crystallization line has been studied by way of [[Path integral formulation | path integral Monte Carlo simulations]] and the [[Ornstein-Zernike relation | Ornstein-Zernike pair equation]] <ref>[http://dx.doi.org/10.1063/1.4943005  Luis M. Sesé "Path-integral and Ornstein-Zernike study of quantum fluid structures on the crystallization line", Journal of Chemical Physics '''144''' 094505 (2016)]</ref>.
The structural regularities along the crystallization line has been studied by way of [[Path integral formulation | path integral Monte Carlo simulations]] and the [[Ornstein-Zernike relation | Ornstein-Zernike pair equation]] <ref>[http://dx.doi.org/10.1063/1.4943005  Luis M. Sesé "Path-integral and Ornstein-Zernike study of quantum fluid structures on the crystallization line", Journal of Chemical Physics '''144''' 094505 (2016)]</ref>.
=Virial coefficients=
==Virial coefficients==
[[Virial equation of state#Virial coefficients | Virial coefficients]] <ref>[http://dx.doi.org/10.1063/1.4731344  Jonas Wiebke, Elke Pahl, and Peter Schwerdtfeger "Up to fourth virial coefficients from simple and efficient internal-coordinate sampling: Application to neon", Journal of Chemical Physics '''137''' 014508 (2012)]</ref>.
[[Virial equation of state#Virial coefficients | Virial coefficients]] <ref>[http://dx.doi.org/10.1063/1.4731344  Jonas Wiebke, Elke Pahl, and Peter Schwerdtfeger "Up to fourth virial coefficients from simple and efficient internal-coordinate sampling: Application to neon", Journal of Chemical Physics '''137''' 014508 (2012)]</ref>.
=References=
==References==
<references/>
<references/>
'''Related reading'''
'''Related reading'''
Line 34: Line 27:
*[http://dx.doi.org/10.1063/1.2966006  R. Ramírez, C. P. Herrero, A. Antonelli, and E. R. Hernández "Path integral calculation of free energies: Quantum effects on the melting temperature of neon", Journal of Chemical Physics '''129''' 064110 (2008)]
*[http://dx.doi.org/10.1063/1.2966006  R. Ramírez, C. P. Herrero, A. Antonelli, and E. R. Hernández "Path integral calculation of free energies: Quantum effects on the melting temperature of neon", Journal of Chemical Physics '''129''' 064110 (2008)]
*[http://dx.doi.org/10.1063/1.4796144  Ionuţ Georgescu, Sandra E. Brown, and Vladimir A. Mandelshtam "Mapping the phase diagram for neon to a quantum Lennard-Jones fluid using Gibbs ensemble simulations", Journal of Chemical Physics  '''138''' 134502 (2013)]
*[http://dx.doi.org/10.1063/1.4796144  Ionuţ Georgescu, Sandra E. Brown, and Vladimir A. Mandelshtam "Mapping the phase diagram for neon to a quantum Lennard-Jones fluid using Gibbs ensemble simulations", Journal of Chemical Physics  '''138''' 134502 (2013)]
*[http://dx.doi.org/10.1063/1.4961682 Maryna Vlasiuk, Federico Frascoli and Richard J. Sadus "Molecular simulation of the thermodynamic, structural, and vapor-liquid equilibrium properties of neon", Journal of Chemical Physics '''145''' 104501 (2016)]
*[http://dx.doi.org/10.1080/00268976.2016.1246760 Gábor Rutkai, Monika Thol, Roland Span and Jadran Vrabec "How well does the Lennard-Jones potential represent the thermodynamic properties of noble gases?", Molecular Physics '''115''' pp. 1104-1121 (2017)]




[[category: models]]
[[category: models]]
Please note that all contributions to SklogWiki are considered to be released under the Creative Commons Attribution Non-Commercial Share Alike (see SklogWiki:Copyrights for details). If you do not want your writing to be edited mercilessly and redistributed at will, then do not submit it here.
You are also promising us that you wrote this yourself, or copied it from a public domain or similar free resource. Do not submit copyrighted work without permission!

To edit this page, please answer the question that appears below (more info):

Cancel Editing help (opens in new window)