ArticleBiophysical journal2008
A geometric principle may guide self-assembly of fullerene cages from clathrin triskelia and from carbon atoms.
Article in Biophysical journal, 2008. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 10 papers.
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10 citing papers in PubMed.
- A Quantum Mechanical MP2 Study of the Electronic Effect of Nonplanarity on the Carbon Pyramidalization of Fullerene CNanomaterials (Basel, Switzerland) · 2024Article
- CActa crystallographica Section B, Structural science, crystal engineering and materials · 2020Article
- Cryo-EM of multiple cage architectures reveals a universal mode of clathrin self-assembly.Nature structural & molecular biology · 2019Article
- Complexation with CNanoscale research letters · 2019Article
- Rule-based modelling provides an extendable framework for comparing candidate mechanisms underpinning clathrin polymerisation.Scientific reports · 2018Article
- Clathrin Assembly Regulated by Adaptor Proteins in Coarse-Grained Models.Biophysical journal · 2016Article
- Fourth class of convex equilateral polyhedron with polyhedral symmetry related to fullerenes and viruses.Proceedings of the National Academy of Sciences of the United States of America · 2014Article
- Unraveling protein-protein interactions in clathrin assemblies via atomic force spectroscopy.Methods (San Diego, Calif.) · 2013Article
- A geometric constraint, the head-to-tail exclusion rule, may be the basis for the isolated-pentagon rule in fullerenes with more than 60 vertices.Proceedings of the National Academy of Sciences of the United States of America · 2008Article
- The physical basis for the head-to-tail rule that excludes most fullerene cages from self-assembly.Biophysical journal · 2008Article
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Abstract
Clathrin triskelia and carbon atoms alike self-assemble into a limited selection of fullerene cages (with n three connected vertices, 3n/2 edges, 12 pentagonal faces, and (n-20)/2 hexagonal faces). We show that a geometric constraint-exclusion of head-to-tail dihedral angle discrepancies (DADs)-explains this limited selection as well as successful assembly into such closed cages in the first place. An edge running from a pentagon to a hexagon has a DAD, since the dihedral angles about the edge broaden from its pentagon (tail) end to its hexagon (head) end. Of the 21 configurations of a central face and surrounding faces, six have such DAD vectors arranged head-to-tail. Of the 5770 mathematically possible fullerene cages for n <or= 60, excluding those with any of the six configurations leaves just 15 cages plus buckminsterfullerene (n = 60), among them the known clathrin cages. Of the 216,739 mathematically possible cages for 60 < n <or= 84, just the 50 that obey the isolated-pentagon rule, among them known carbon cages, pass. The absence of likely fullerenes for some n (30,34,46,48,52-58,62-68) explains the abundance of certain cages, including buckminsterfullerene. These principles also suggest a "probable roads" path to self-assembly in place of pentagon-road and fullerene-road hypotheses.
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