A predictive equation for the influence of chain ends on glass-transition temperatures is derived from a thermodynamic theory for the compositional variation of Tg. This relation is found to give excellent agreement with results for the effect in polystyrene, and produces a convenient and accurate first approximation. Secondary approximations to the principal equation are formally identical to the Ueberreiter-Kanig and Fox-Flory equations for the variation of Tg with molecular weight.
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P. R. Couchman (1979) studied this question.
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