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.
Fetching data from CrossRef. This may take some time to load.
Physical Chemistry Chemical Physics
- Information Point