Fowler Patrick W, Rzepa Henry S
Department of Chemistry, University of Sheffield, Sheffield S3 7HF, UK.
Phys Chem Chem Phys. 2006 Apr 21;8(15):1775-7. doi: 10.1039/b601655c. Epub 2006 Mar 20.
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.
给出了一个简单的证明，即休克尔芳香性规则可推广到具有任意数量半扭转(T)的环；每次添加/去除两个半扭转可保持所有本征值和简并度，因此对于偶数(T)，闭壳层芳香体系出现在(\pi)电子数为(4N + 2)时，反芳香体系出现在(\pi)电子数为(4N)时，对于奇数(T)则相反。
