Hirsch, Chen, and Jiao developed a three-dimensional version of this statement that applies to fullerenes, while another method that leads to it assumes zero-differential overlap, a computational method named for Pariser, Parr, and Pople.
One method of deriving this statement is solving Schrodinger's equation for the condition psi of theta equals psi of 2 pi plus theta, giving a wavefunction proportional to e to the plus or minus i n pi. It can also be derived by noting that the systems in question contain one low-lying bonding molecular orbital followed by a series of paired MOs at higher energies. Hirsch, Chen, and Jiao developed a three-dimensional version of this statement that applies to fullerenes, while another method that leads to it assumes zero-differential overlap, a computational method named for Pariser, Parr, and Pople. It applies to planar systems with conjugated double bonds. For 10 points, name this rule that states a molecule with 4n plus 2 pi electrons is aromatic, named for a German.
One method of deriving this statement is solving Schrodinger's equation for the condition psi of theta equals psi of 2 pi plus theta, giving a wavefunction proportional to e to the plus or minus i n pi.
 Huckel's rule