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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