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Specific heats of dilute neon inside long single-walled carbon nanotube and related problems

Z. C. Tu·Z. C. Ou-Yang
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Abstract

An elegant formula for coordinates of carbon atoms in a unit cell of a single-walled nanotube (SWNT) is presented and the potential of neon (Ne) inside an infinitely long SWNT is analytically derived out under the condition of the Lennard-Jones potential between Ne and carbon atoms. Specific heats of dilute Ne inside long (20, 20) SWNT are calculated at different temperatures. It is found that Ne exhibits 3-dimensional (3D) gas behavior at high temperature but behaves as 2D gas at low temperature. Especially, at ultra low temperature, Ne inside (20, 20) nanotubes behaves as lattice gas. A coarse method to determine the characteristic temperature $\mathcal{T}_c$ for low density gas in a potential is put forward. If $\mathcal{T}\gg \mathcal{T}_c$, we just need to use the classical statistical mechanics without solving the Shrödinger equation to consider the thermal behavior of gas in the potential. But if $\mathcal{T}\sim \mathcal{T}_c$, we must solve the Shrödinger equation. For Ne in (20,20) nanotube, we obtain $\mathcal{T}_c\approx 60$ K.

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Z. C. Tu, Z. C. Ou-Yang. 2003-10-26. Specific heats of dilute neon inside long single-walled carbon nanotube and related problems. https://doi.org/10.1088/0953-8984%2F15%2F40%2F013

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