Thermal expansion of solid neon from 1 to 15 K

Holste, James C.

doi:10.31274/rtd-180813-3494

Cited by 1 publication

(3 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Considering that phonon dispersion and higher body effects are neglected, our results are in reasonable agreement with experiment. Previous calculations using the Debye model are also in good agreement with experiment. , …”

Section: Resultssupporting

confidence: 78%

“…An estimate was given by considering nearest neighbor interactions only (see ref ), which gives the value of γ = 3.17 for a (12, 6) LJ potential, Indeed, the value varies very little for the rare gases from about 2.5 to 2.7, , but deviates substantially from Grüneisen’s original estimate. In the following, we only consider the volume dependent mode Grüneisen parameter; for a discussion on the temperature dependence for the solid and liquid rare gas phases, we refer the reader to refs − .…”

Section: Resultsmentioning

confidence: 99%

“…Previous calculations using the Debye model are also in good agreement with experiment. 148,150 Figure 10 demonstrates the behavior of γ E for neon over a range of volumes. It shows that, around V/V e the ELJ and LJ curves are close, but major deviations are observed in the highpressure regime.…”

Section: ■ Methodsmentioning

confidence: 99%

See 2 more Smart Citations

The Lennard-Jones Potential Revisited: Analytical Expressions for Vibrational Effects in Cubic and Hexagonal Close-Packed Lattices

2021

View full text Add to dashboard Cite

Analytical formulas are derived for the zero-point vibrational energy and anharmonicity corrections of the cohesive energy and the mode Grüneisen parameter within the Einstein model for the cubic lattices (sc, bcc, and fcc) and for the hexagonal close-packed structure. This extends the work done by Lennard-Jones and Ingham in 1924, Corner in 1939, and Wallace in 1965. The formulas are based on the description of two-body energy contributions by an inverse power expansion (extended Lennard-Jones potential). These make use of three-dimensional lattice sums, which can be transformed to fast converging series and accurately determined by various expansion techniques. We apply these new lattice sum expressions to the rare gas solids and discuss associated critical points. The derived formulas give qualitative but nevertheless deep insight into vibrational effects in solids from the lightest (helium) to the heaviest rare gas element (oganesson), both presenting special cases because of strong quantum effects for the former and strong relativistic effects for the latter.

show abstract

Section: Resultssupporting

confidence: 78%