What is it about?
The existence of equal energy states in long organic molecules has an important influence on electronic mobility and conductivity. This work explains the emergence of such degenerate electronic states in cyclic complex molecules made of benzene rings. Degeneracy tables for orientable and non-orientable (Moebius band) cases are obtained. Electronic waves propagating on the molecule produce effective segmentation, which simplifies the problem.
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Why is it important?
This work helps to understand conductivity in polymers at a molecular level. The so-called 'accidental' degeneracy is finally explained in terms of molecular geometry and symmetry.
Read the Original
This page is a summary of: Hidden duality and accidental degeneracy in cycloacene and Möbius cycloacene, Journal of Mathematical Physics, May 2021, American Institute of Physics, DOI: 10.1063/5.0031586.
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