Set up the secular determinants for cyclobutadiene, benzene, and cyclooctatetraene and diagonalize them by using mathematical software. Use your results to show that the π molecular orbitals of monocyclic polyenes with an even number of carbon atoms follow a pattern in which:
• The π molecular orbitals of lowest and highest energy are non-degenerate.
• The remaining π molecular orbitals exist as degenerate pairs.
The answer to your question is provided in the image:
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