Fullerenes

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Authors

Gunnar Brinkmann

Jan Goedgebeur

Brendan McKay

Fullerenes

Warning: this page is still under construction!

Buckygen is a program for the efficient generation of all nonisomorphic fullerenes. These are triangulations where all vertices have degree 5 or 6. Or if the dual representation is used: cubic plane graphs where all faces are pentagons or hexagons.

The program can also be used to generate IPR fullerenes, these are fullerenes which have no adjacent degree 5 vertices.

The algorithms used in the generator are described in:

  • G. Brinkmann, J. Goedgebeur and B.D. McKay, Generation of Fullerenes, in preparation.

This generator will soon be downloadable here. A short manual can already be found here. Buckygen is released under the GNU General Public License (GPL) and has been tested on Linux and Mac OS X.

Installation instructions:

  • Download and extract the latest version of buckygen.
  • Compile using the command "make".

The fullerene counts (including downloadable lists) can be found here.

Don't hesitate to contact us at jan.goedgebeur[at]ugent.be if you have any further questions or suggestions.

Last update: October 18, 2011.