Lowest energy π-like
Molecular Orbitals for C9H9+
  • The most stable π-MO a + b pair each has an approximate node (phase shift) at one of the two points where the C2 axis crosses the cycle, a pattern which is usefully diagnostic.
  • The lower energy (b) partner has this node lying perpendicular to the axis (lhs) avoiding the compressed region.
  • The higher energy (a) partner has this node lying along the C2 axis (rhs), encountering the compressed region.
  • These nodes mean neither MO represents a true Möbius surface.
  • But notice the C-H contamination in the a orbital which removes the pure node in one phase!