SynopsisWe demonstrate that carbon-13 NMR average correlation times 7 , published by Dekmezian et al. as plots of log 7 , against reduced temperature, T/T,, reach a visibly apparent asymptotic limit, (T/Tg),, at about 1.21 for 9 amorphous polymers and 4 semicrystalline polymers; PIB and ethylene copolymers are exceptions. The average value of T,/Tg is 1.21, where T, is the carbon-13 NMR collapse temperature reported by Axelson and Mandelkern. Log T, -T data can be linearized by the WLF equation or by the Vogel equation using a reference temperature, T, = T,.Log f versus T/Tg data can also be linearized by a hyperbolic equation method. All three methods yield an asymptotic frequency of 1 Hz or less, rationalizing why T, (about lo6 Hz) = TI, ( f I 1 Hz). Dielectric loss data analyzed by the Lobanov-Frenkel method confirm and define a T*( K ) at a frequency of about 105-107 Hz at TI, associated with local chain motion. A plot of T, or T* against Tg (static) is linear, suggesting that T, = T* = TI,. It is demonstrated that values of log f versus 1/T with f = 1/2n5, help to define the high-frequency locus in relaxation maps for The TI, transition thus manifests itself in any of three ways: motion of the entire macromolecule in low frequency (1-1O00 Hz) dynamic mechanical tests, an increase with temperature in C, and in the coefficient of expansion in static measurements, and a high-frequency local response in NMR and dielectric loss data. All three aspects are associated with the disappearance of interchain segment-segment contacts at TI,, i.e., the "segqental melting" of Lobanov and Frenkel. Carbon-13 NMR is a powerful tool for investigating TI, dependence on structure in amorphous and crystalline polymers but is less satisfactory with ethylene copolymers. A linear correlation of T, or T , against Tg is demonstrated, where T , is the asymptotic temperature from log .T, versus T plots. This correlation can be used to define Tg in crystalline polymers if their T, is known. &-PI, PIB, and &PP.