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Wormholes in chemical space connecting torus knot and torus link pi-electron density topologies.

作者信息

Rzepa Henry S

机构信息

Department of Chemistry, Imperial College London, South Kensington Campus, London, UKSW7 2AY.

出版信息

Phys Chem Chem Phys. 2009 Mar 7;11(9):1340-1345. doi: 10.1039/b810301a. Epub 2009 Jan 13.

DOI:10.1039/b810301a
PMID:19224034
Abstract

Möbius aromaticities can be considered as deriving from cyclic delocalized pi-electron densities rho(r)(pi) which have the topological form of either a two-component torus link or a single-component torus knot. These two topological forms are distinguished by their (non-zero) linking number L(k), which describes how many times the two components of a torus link cross each other or the single component of a torus knot crosses with itself. The special case of Hückel or benzenoid aromaticity is associated with a pi-electron density that takes the form of a two-component torus link for which the linking number is zero. A class of molecule has been identified which here is termed a Janus aromatic, and which bears the characteristics of both a two-component torus link and a single-component torus knot in the topology of the pi-electron density. This is achieved by the formation of one (or more) wormholes or throats in the pi-electron density connecting the two torus forms, which can impart a Janus-like dual personality to the aromaticity of the system. The impact of such wormholes on the overall pi-delocalized aromaticity of such molecules is approximately estimated using a NICS(rcp) index, and subdivides into two types; those where the forms of aromaticity associated with a torus link and a torus knot cooperate and those where they oppose.

摘要

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