Neon
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Neon (Ne)
Lennard-Jones parameters
Some Lennard-Jones parameters for neon are listed in the following table:
| Authors | 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} (meV) | 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 \sigma} (nm) | Reference |
| Herrero | 3.0840 | 0.2782 | [1] |
| Ramírez and Herrero | 3.2135 | 0.2782 | [2] |
Buckingham potential
The Buckingham potential for neon is given by (Eq. 26 [3]):
- 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 E(r) = 25.7 \times 10^{-10} e^{-r/0.235} -9 \times 10^{-12} r^{-6} }
where 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 E} is in ergs ( 10−7 J) and in Å.
Phase diagram
The phase diagram for temperatures in the range of 17–50 K and pressures between 10−2 and 2×103 bar has been calculated in Ref. 2. The critical point was located at 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 T_c =46.7 ~{\mathrm K} } and 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 p_c = 27.7 } bar (Ref. 2 Table I), and the triple point at 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 T_{tp} =24.55 ~{\mathrm K} } and 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 p_{tp} = 0.315 } bar (Ref. 2 Table II).
References
- ↑ Carlos P. Herrero "Isotope effects in structural and thermodynamic properties of solid neon", Physical Review B 65 014112 (2001)
- ↑ 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)
- ↑ 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)
Related reading
- John Edward Lennard-Jones "On the Atomic Fields of Helium and Neon", Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character 107 pp. 157-170 (1925)
- 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)