Simple models of nanoscale carbon structures

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Hello - I am searching for some guidance, and I would greatly (greatly) appreciate any tips, pointers, etc.

I am interested in the stability and geometry of nanoscale carbon structures, such as fullerenes and single-walled carbon nanotubes. I am wondering where to begin to develop - for my own personal interest, not for any real research! - simple models of these structures.

The sorts of questions I am curious about are: C60, C70, Cx - how is x related to the energy of the buckyball, or the radius? How can I calculate the potential energy of a carbon nanotube, say an armchair with inner diameter 1.4 nm, in vacuum? Could I bend a nanotube into some specific geometry - IE, like a torus? What conditions would result in this structure being stable in vacuum? If it was unstable, what magnitude force would I have to symmetrically exert around it to keep it together?

Are there any books I should try to get a copy of to help start me off on this quest? Are there any pre-established models, or basic physical ideas, that would be useful in guiding me?

Thank you for any words you could provide me.


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