Abstract
The symmetry group composed of the equivalence of repeated units in a straight chain conjugate polymer is explored and applied to analysing the special solutions of the difference equation which stands for the Hückel molecular orbital (HMO) eigen equation of the polymer. The decomposed form of HMO eigen equations and the corresponding molecular orbitals are presented as a theorem for three types of the chain polymer, denoted (G) N G', (UI) N U and (VJVI) N V respectively.
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