Summary of the Properties of a Möbius/Listing band with T=2π

• A 2p AO basis distributed evenly along the cycle can start at any arbitrary point.
• NO NODE/Phase shift is created during a journey of one cycle.
  
• The lowest variational (HMO) solution using this basis is NOT degenerate.
• The HMO π-MOs then occur in degenerate pairs (benzene pattern!), terminating with a non degenerate level (for even values of basis functions).
• This degeneracy is only true for a cycle of zero width/height. The degeneracy will break for a cycle of finite width/height and finite radius.
• One can distribute two orthogonal 2p AO bases around the cycle (Model A+B). The two will only be degenerate for a cycle of zero height and width, but their degeneracy will also only be true for a cycle bounded in 2D.