Abstract
In this Letter we study the optimum diameter of stable small single-walled carbon nanotube (SWNT) tori based on the minimum of their free energy. A simple continuum model is used to calculate the free energy of SWNT tori, from which their thermodynamic stability is investigated. The small toroidal nanotubes are stabilized because of the competition between deformation energy and entropy. We use this to derive the optimal diameter of small SWNT torus and our calculations show that a tube with a diameter of 1.4 nm can be bent to form a stable torus with a toroidal diameter ≈34 nm.
| Original language | English |
|---|---|
| Pages (from-to) | 238-243 |
| Number of pages | 6 |
| Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |
| Volume | 331 |
| Issue number | 3-4 |
| DOIs | |
| State | Published - 18 Oct 2004 |
Keywords
- Carbon nanotube
- Optimum diameter
- Torus