Calculating Van der Waals Bonding Force of Carbon Nanotubes

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SUMMARY

This discussion focuses on calculating the van der Waals bonding force per area of 1 cm² of carbon nanotubes with a diameter of 0.4 nm, specifically using the Johnson–Kendall–Roberts (JKR) adhesion theory. The user seeks clarification on the mathematical application of JKR theory due to the unique structure of the nanotubes, which do not have hemispherical ends but rather dome-like caps composed of a few atoms. The inquiry highlights the challenges in accurately modeling the bonding forces due to the nanotubes' geometry.

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  • Understanding of van der Waals forces
  • Familiarity with Johnson–Kendall–Roberts adhesion theory
  • Basic knowledge of carbon nanotube structure
  • Mathematical skills for force calculations
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SkepticJ
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I hope I've put this in the right forum, if not, please move it.

I'm wanting to calculate the van der Waals bonding force/area of 1 cm^2 of "setae" carbon nanotubes that are 0.4nm(4 angstroms) in diameter. Such nanotubes are the smallest physically possible so that's what I want to go with. I want to use the Johnson–Kendall–Roberts adhesion theory to calculate the force/area, but I don't understand it. Would someone explain this math to me so that I may go about doing calculations? Thank you.

Another problem is that these nanotubes don't have a hemisphere end, because carbon atoms aren't much smaller than this. The tubes do end in a dome-like cap, but it's only composed of a few atoms, so won't conform to simply making the ends of the tubes as perfect hemispheres in the calculations. What can I do?
 
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Hmmm, perhaps this was the wrong forum to post it in. Would one of the mods please move it to a better one? Thanks.:smile:
 

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