Effects of Distribution of Correlation Times upon T_1 and T_2 in Nuclear Magnetic Resonance
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The relaxation times T_1 and T_2 and the activation energy of segment motion in the nuclear magnetic resonance(NMR) for polymer systems are explained in the consideration of distribution of correlation times. The experimental relations between T_1 and T_2 in many kinds of compounds show that BPP's and Kubo-Tomita's theories in which the Brownian motion of segment is treated by the assumption of the one correlation time are not sufficiently applicable to the T_1 and T_2. On the other hand, it is examined by us that the low value of apparent activation energy obtained from NMR measurement is dependent upon the assumption of one correlation time in the above theories. Furthermore, in order to obtain a quantitative explanation with the experimental curve of T_1, it is considered in the present theory that the apparent activation energy E_N is dependent upon temperature rather than constant, so as the ones in the mechanical and dielectric relaxation. The activation energy E_N vs.temperature relation is obtained from the data of the T_1 and T_2 which have been measured for natural rubber. The feature of the E_N-curve is remarkably in good agreement with that of the E_M-curve already reported.
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