Charge density of carbon nanotubes and graphene

  • #1
Nod
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Main Question or Discussion Point

Hi everyone!
I'm trying to solve the following problem: given the charge densities of carbon nanotubes and graphene, the charge density difference of 2 systems must be found. So I need to unfold in some way the nanotube and compare it charge density with the graphene's one. But how this unfolding process should be done? I mean, the nanotube has different distances between the carbons than the graphene, should it be so also once I map it on the plane? Or is it fine to just map it as a graphene structure and find some way of describing the charge density in an adequate manner? And which way would be adequate?
Thanks for any ideas, because I'm out of any.
 

Answers and Replies

  • #2
TeethWhitener
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I suppose it depends on what you're after, but maybe just compare the 2-carbon unit cell of graphene to an analogous 2-carbon "unit cell" of nanotubes. Otherwise, you'll have to worry about boundary conditions and such.
 
  • #3
Nod
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The boundary conditions are already applied to the nanotubes. I was given a hint that I need to open up the nanotube and "map" it: just like the mapping of the round earth is made on a flat surface. But even in this case I saw that there are manu ways of doing it. Should I preserve the distances? Or modify the charge density? The charge densities for both cases are given as values on the grid points.
 
  • #4
TeethWhitener
Science Advisor
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Is this for homework? I think your answer consists in combining:
The charge densities for both cases are given as values on the grid points.
and
"map" it
Does each case have different numbers of grid points?
 

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