Aromaticity rules for cycles with arbitrary numbers of half-twists

Physical Chemistry Chemical Physics : PCCP
P W Fowler, Henry S Rzepa

Abstract

A simple proof is given that the Hückel aromaticity rules generalise to cycles with an arbitrary number of half-twists, T; addition/removal of half-twists two at a time preserves all eigenvalues and degeneracies, so that closed-shell aromatic systems occur at pi-electron counts 4N+ 2, and antiaromatic at 4N for even T, and vice versa for odd T.

References

Apr 1, 1971·Proceedings of the National Academy of Sciences of the United States of America·F B Fuller
May 25, 2002·Nature·Satoshi TandaNoriyuki Hatakenaka
Oct 8, 2005·Organic Letters·Henry S Rzepa
Oct 13, 2005·Chemical Reviews·Henry S Rzepa
Oct 18, 2005·Chemical Communications : Chem Comm·Henry S Rzepa

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Citations

Apr 7, 2012·Journal of Cheminformatics·Janna HastingsChristoph Steinbeck
May 2, 2008·The Journal of Chemical Physics·E W S CaetanoF Sato
Aug 19, 2016·Chemical Reviews·Takayuki Tanaka, Atsuhiro Osuka
Oct 17, 2018·Angewandte Chemie·Takanori SoyaAtsuhiro Osuka
May 29, 2010·Chemistry : a European Journal·Ali Reza MohebbiRainer Herges
Jun 10, 2010·Physical Chemistry Chemical Physics : PCCP·Yin-Feng WangChia-Chung Sun
Jan 13, 2011·Chemphyschem : a European Journal of Chemical Physics and Physical Chemistry·Chaim Dryzun, David Avnir
Dec 20, 2012·Chemical Communications : Chem Comm·Gaston R Schaller, Rainer Herges
Dec 4, 2008·Dalton Transactions : an International Journal of Inorganic Chemistry·Charlotte S M Allan, Henry S Rzepa
Jul 30, 2009·The Journal of Physical Chemistry. a·Chaitanya S WannerePaul v R Schleyer
May 29, 2008·Journal of the American Chemical Society·Shay M Rappaport, Henry S Rzepa
Sep 11, 2010·The Journal of Organic Chemistry·Steven M Bachrach, David Stück
Jul 3, 2010·The Journal of Organic Chemistry·Eva-Katrin MuckeRainer Herges
Mar 14, 2018·The Journal of Physical Chemistry Letters·Lukas N WirzDage Sundholm
Jul 6, 2018·ACS Central Science·Marc H GarnerGemma C Solomon
Nov 3, 2021·Chemical Communications : Chem Comm·Dage SundholmRaphael J F Berger

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