Abstract
A simple 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 under the assumption of pair-wise Lennard-Jones potential between Ne and carbon atoms. Specific heats of dilute Ne inside infinitely long (5, 5), (10, 10), (15, 15), and (20, 20) SWNT’s are calculated at different temperatures. It is found that Ne inside four kinds of nanotubes exhibits three-dimensional (3D) gas behavior at high temperature but different behaviors at low temperature. Ne inside (5, 5) nanotube behaves as 1D gas but inside (10, 10), (15, 15), and (20, 20) nanotubes behaves as 2D gas. Furthermore, at ultra low temperature, Ne inside (5, 5) nanotube still displays 1D behavior but inside (10, 10), (15, 15), and (20, 20) nanotubes behaves as lattice gas.
- Received 12 May 2003
DOI:https://doi.org/10.1103/PhysRevB.68.153403
©2003 American Physical Society