Problem

The projection operator method has applications beyond the deduction of group orbital SA...

The projection operator method has applications beyond the deduction of group orbital SALCs. Deduce the wave function equations for the six π molecular orbitals of benzene, using the labels specified for each 2pz orbital. First, derive initial SALCs using each representation of the D6h point group; some combinations will afford zero. Using sketches of the deduced orbitals, symmetry characteristics of the representations, and a coefficient table like that in Section 5.4.4 , deduce the SALCs not derived initially from the character table analysis. Provide normalized equations and a sketch for each π molecular orbital.

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