Symmetry in Spheroalcanes, Fullerenes, Tubules and Other Column-Like Aggregates

Rassat, A.

doi:10.1007/978-94-009-1692-0_11

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Fullerenes1

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Cited by 3 publications

(1 citation statement)

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“…1 25 Theoretical studies of various spheroalkanes have been published (for instance, a review). 6 Fowler and Mitchell 26 have given a list of all trivalent polyhedra complete up to 16 vertices, where the smallest and other representatives of the C n (n = 1-3), C nh (n =1,2),…”

Section: Fullerenesmentioning

confidence: 99%

Chirality and symmetry aspects of spheroarenes, including fullerenes

Rassat

2001

Chirality

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Section: Fullerenesmentioning

confidence: 99%

Chirality and symmetry aspects of spheroarenes, including fullerenes

Rassat

2001

Chirality

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Cahn-Ingold-Prelog Descriptors of Absolute Configuration for Carbon Cages

Rassat¹,

Fowler²,

Vaissiere³

2001

Chem. Eur. J.

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A simplified procedure is described for assigning Cahn-Ingold-Prelog descriptors to stereocentres in spheroalkanes (the CnHn molecules, with n even, based on trivalent, polyhedral carbon frameworks, a class which subsumes the fulleranes). By extension, similar descriptors can be found for the atoms of fullerenes and related carbon-only molecules. Assignment maps are given for chiral fullerenes C28 C76, C78, C84 and C140, and for a number of spheroalkanes. Cases of breakdown of the simple procedure for triangle-rich spheroalkane molecular graphs are discussed.

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Symmetry generalisation of the Euler–Schläfli theorem for multi-shell polyhedra

Fowler¹,

Rassat²,

Ceulemans³

1996

J. Chem. Soc., Faraday Trans.

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The point-group representations spanned by the vertices, edge vectors, face circulations and cell centres of a wide variety of multi-shelled polyhedral structures are related in a simple equation that generalises the well known Euler and Schlafli theorems. The new theorem can be expected to have applications in spectroscopic and electronic structure theory of a large class of clusters and coordination polyhedra.

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Symmetry in Spheroalcanes, Fullerenes, Tubules and Other Column-Like Aggregates

Cited by 3 publications

References 82 publications

Chirality and symmetry aspects of spheroarenes, including fullerenes

Chirality and symmetry aspects of spheroarenes, including fullerenes

Cahn-Ingold-Prelog Descriptors of Absolute Configuration for Carbon Cages

Symmetry generalisation of the Euler–Schläfli theorem for multi-shell polyhedra

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