We apply fast field cycling NMR to study the dispersion of the 1 H spin−lattice relaxation time T 1 (ω) of linear 1,4-polybutadienes with molecular weight M (g/mol) ranging from M = 355 to 817 000. By this, the crossover from glassy dynamics through Rouse to reptation becomes accessible. Analyzing the data in the susceptibility form ω/ T 1 (ω) and applying frequency−temperature superposition, spectra extending over up to 8 decades in ω are obtained. Characteristic polymer spectra are revealed when the underlying glassy dynamics are accounted for. Instead of describing the unentangled melt by the full Rouse mode spectrum, the emergence of a limited number of modes is identified which saturates when entanglement sets in. A quantitative analysis yields the molecular weight of a Rouse unit M R ≅ 500, and the entanglement weight M e ≅ 2000, at which first entanglement effects are observed. Moreover, the dynamic order parameter S ( M ) and the behavior of the terminal time τ max ( M ) are obtained. Both quantities allow to identify three dynamic regimes, namely simple liquid, Rouse, and reptation dynamics. The temperature dependence of the segmental relaxation time τ s ( T ) coincides with the corresponding dielectric relaxation times which were measured additionally, and the M dependence of the glass transition temperature T g shows distinctive kinks at M R and M e, indicating that glassy dynamics are modified by polymer dynamics.
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Kariyo et al. (2008) studied this question.
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