ELEMENTAL CARBON ISOMERISM uri icon

abstract

  • A systematic mathematically based approach is made to categorize the different stereochemical possibilities for finite carbon clusters comprised of fully bonded smooth nets of carbon atoms all of which are trigonally hybridized. An exceptional richness of ideas and theorems from topology, differential geometry, and graph theory are found to be relevant and to govern not only the conventional chemical graph‐theoretic molecular interconnection patterns but also topo‐geometric features of the stereochemically conceivable structures and their associated strain. The usually considered fullerenes (with or without isolated pentagonal rings) form but a fraction of the overall possibilities, some of which e.g., do not require pentagonal rings (or other “small” rings). But too there emerges from the theory certain special structures which turn out often to correspond to experimentally observed fullerenes. © 1994 John Wiley & Sons, Inc. Copyright © 1994 John Wiley & Sons, Inc.

published proceedings

  • INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY

author list (cited authors)

  • KLEIN, D. J., & LIU, X.

citation count

  • 35

complete list of authors

  • KLEIN, DJ||LIU, X

publication date

  • February 1994

publisher