Better potential than Lennard-Jones for Carbon Carbon interactions?

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Discussion Overview

The discussion revolves around the search for a better interatomic potential than the Lennard-Jones (LJ) potential for modeling carbon-carbon interactions, specifically in the context of carbon nanotubes. Participants explore various potential models and their applicability to molecular dynamics simulations.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant questions the suitability of the LJ potential for carbon-carbon interactions, noting its limitations in metals and suggesting that it may still be applicable if many-body effects are effectively handled.
  • Another participant mentions that LJ is typically good for intermolecular interactions and suggests using a combination of harmonic potentials for intramolecular forces and LJ for long-range interactions in carbon nanotubes.
  • A participant specifies their system as a toroidal carbon nanotube and expresses that they are not seeking precise data, indicating a preference for a simpler potential model.
  • There is a suggestion that LJ forces may still apply beyond 1-4 interactions, and a participant inquires about the methods being used, such as molecular dynamics (MD) or energy minimization.
  • One participant proposes a modified LJ potential that includes a quadratic term and exponential decay to account for bonding lengths and oscillations of carbon atoms.
  • Another participant warns that classical MD may not accurately break bonds and suggests performing energy minimization before MD, recommending various simulation codes.
  • A participant shares their decision to use a Buckingham potential combined with a stretch potential from the MM2 force field, while expressing uncertainty about considering angular terms.
  • One participant offers advice on free energy minimization programs and discusses semi-empirical geometry optimization methods for larger structures, mentioning the potential use of DFT if symmetry is exploited.
  • Another participant introduces the Tersoff potential as a more accurate alternative to LJ, noting its non-pair potential nature and suggesting literature searches for its application in nanotubes.

Areas of Agreement / Disagreement

Participants express a range of opinions on the suitability of different potentials, with no consensus reached on a single best approach for carbon-carbon interactions in nanotubes. Multiple competing views on potential models remain present throughout the discussion.

Contextual Notes

Limitations include the potential inadequacy of classical MD for accurately modeling bond breaking, the complexity of the systems being studied, and the varying degrees of accuracy and applicability of the suggested potentials.

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Hello! I was wondering if anyone could provide me with any advice on a better interatomic potential than the Lennard-Jones (Mie 6-12) potential for carbon-carbon interactions. I know that L-J fails for metals, but I am not sure how good it would be for carbon-carbon interactions. Are there any much better potentials to use for carbon-carbon?

Thank you for any help.
 
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that really depends upon the kind of interactions that you are talking about..

Obvious, the LJ potential is only good for intermolecular interactions. It may still be a good potential to use if the many-bodied nature of your problem is "effectively" handled in a mean-field way by the force field.

for example: for carbon nanotubes systems, some people find good results using an intramolecular force-field of harmonic potentials and then C-C LJ for the long-range potential. There are also more complicated potentials used for nanotubes that are more accurate.

tell us more about your system. To speak of just carbon is too generic.
 
Sorry! Yeah, that was too generic. Specifically, my system is a carbon nanotube wrapped into a torus. The carbons I am dealing with are all bonded, so I guess the L-J potential really wouldn't apply. Anyway, I am not interested in PRECISE data, so I don't need an extremely complex potential. Just wondering what might be a decent fit.

Thank you.
 
your lennard-jones forces will still apply past the 1-4 interactions

i assume you are doing MD? or just energy minimizing the structure?

i know of people using the CHARMM force-field for nanotubes and C60...i don't know about their results though.
 
I am doing molecular dynamics. I am thinking about using some other program to energy minimize the structure, but such programs seem to be hard to find without paying.

Perhaps the best potential would be a modified L-J, with a quadratic term multiplied by an exponential decay to include the bonding length (IE, so small displacements / inputs of energy just cause the C atoms to oscillate, large displacements / inputs of energy can break the bond)...
 
Classical MD won't allow you to break any bonds accurately.

These sorts of studies have been done on nanotubes, why don't you search the literature?

I would suggest doing an energy minimization before MD, and then slowly heating. GROMACS, NAMD, DLPOLY, etc. are all good codes.
 
I've decided to use a Buckingham potential combined with the stretch potential (and anharmonic term) from the MM2 force field, just because it's simple and at least decent. I don't know if I'm going to consider angular terms yet.

quetzalcoatl9, you seem to have good knowledge of MD stuff. I was wondering if you could perhaps recommend a free energy minimization program, one that would help me get rough cartesian coordinates for the structures of compounds (with around IE 350 atoms).

Thank you for all your help and any more help you might provide!
 
Indeed I do MD and MC for a living :) I have written MD and MC code for biomolecular and material science studies, including a current PIMC project (that is currently working - in the true Trotter fermionic case for both electron and proton - in simulating a hydrogen atom!).

well, if your structure is around 350 atoms then you could do a semi-empirical geometry optimization using something like GAMESS. An SE method like PM3 or AM1 will probably work to get a decent energy minimized structure. If you have symmetry exploitation and a supercomputer available, you _might_ be able to crank out a few optimization steps using DFT and a minimal basis set (for 350 atoms i think this is pushing it - but then again if your structure is highly symmetric it might not be so bad actually. Don't single walled tubes have Dnh symmetry?). I would be nearly certain that others have done things like this, and you could probably just grab their coordinates from the literature and focus your efforts on something else, or just use structures from X-ray or INS studies (any C-13 NMR experiments?) if the resolution is decent (i.e. ~1.0 A).

also, if I may ask - why 350 atoms? i assume you have more than just a standard nanotube (i.e. one that is contorted in some way and breaking symmetry).

are you studying normal modes by chance?
 
Have you considered using the Tersoff potential. Unlike, LJ it is not a pair potential so it should be more accurate. You can do some literature search to see if people have used tersoff like potentials for nanotubes. As far as i know, http://www.ivec.org/GULP/" is one of the MD programs that implements tersoff. Using GULP is fairly simple. However, GULP is not paralellized...but considering the system sizes you are talking about, it should be OK . Also, if i can remember,a MS Windows version of GULP also exists. Also Brenner has his own set of Fortran codes which you can d/l by googling for them.
 
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