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The frequency distributions of some isotopically random polymers are calculated by applying Dean's negative eigenvalue theorem. It is shown that the results of calculation are in good agreement with the infrared spectra of polymers of cis-CHD = CHD and trans-CHD = CHD, giving strong confirmation to the previous view that the polymerization by a Ziegler-type catalyst occurs with the cis opening of the double bond. The spectra of copolymers of CH2 = CH2, CHD = CD2, and CD2 = CD2 are also discussed. The effects of randomness and deuterium content on the frequency distribution are studied.
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Tasumi et al. (1968) studied this question.
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