> For the complete documentation index, see [llms.txt](https://nkintc.gitbook.io/brainless/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://nkintc.gitbook.io/brainless/steam/science/materials-modeling/assignments/carbon-nanotubes.md).

# Carbon Nanotubes

Might as well try and describe what these things are.

Main design equation for the diameter of the CNT, dependent on the chiral numbers `(n,m)`.  

$$
d\_{t}=\frac{C\_{h}}{\pi}=\frac{\sqrt{3} a\_{c-c}}{\pi} \sqrt{n^{2}+n m+m^{2}}
$$

Would go back to [this site](http://www.photon.t.u-tokyo.ac.jp/~maruyama/kataura/chirality.html) as reference. `a_{c-c}` is the length of the Carbon-Carbon bond, 1.421 Å.

<http://www.photon.t.u-tokyo.ac.jp/~maruyama/kataura/chirality.html>