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Issue 13, 2002
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Hückel spectra of Möbius π systems

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Abstract

Any Hückel π system with the Möbius-strip topology has a quotient property whereby its Hückel spectrum is the ungerade, and its adjacency spectrum the gerade half of the spectrum of a centrosymmetric cylindrical graph with twice as many vertices. Consequences include the spectral complementarity of Hückel and anti-Hückel monocycles, spectral embedding of twisted in untwisted cyclic polyacenes, and spectral inversion between in- and out-of-plane π sub-systems of odd-numbered rings in cluster molecules. Cartesian coordinates for Möbius graphs can be derived from those of the cylindrical parent.

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Publication details

The article was received on 20 Feb 2002, accepted on 10 Apr 2002 and first published on 27 May 2002


Article type: Paper
DOI: 10.1039/B201850K
Citation: Phys. Chem. Chem. Phys., 2002,4, 2878-2883
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    Hückel spectra of Möbius π systems

    P. W. Fowler, Phys. Chem. Chem. Phys., 2002, 4, 2878
    DOI: 10.1039/B201850K

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