By connecting the field-gradient spin-echo theory to spin-spin relaxation,
we have found that the relationship between the tube-reptation model and sp
in-spin relaxation can be represented by G(t) = exp[-(t/T-2)(n)] in which n
= 1 and 0.5 for regimes IV and III, respectively. In our experiments, the
spin-spin relaxation of linear poly(dimethyl siloxane) (PDMS) agrees with G
(t) = expr[-(t/T-2)] while that of crosslinked PDMS coincides with G(t) = e
xp[-(t/T-2)(0.5)]. These results reflect that in the time interval 8-800 ms
the dynamics of linear PDMS are in regime IV (governed by reptation motion
s) and those of the crosslinked PDMS are in regime III (dominated by wriggl
ing motions). The Line-shapes of NMR spectra of crosslinked PDMS are consis
tent with the Lorentzian rather than the Gaussian model. This can be accoun
ted for by supposing that the PDMS chains between crosslinks have liquid-li
ke motions even though crosslinked PDMS is a solid. The liquid-like motions
of crosslinked PDMS could be regarded as wriggling motions described by th
e tube-reptation model. In addition, the experimental results of diameter d
istribution, viscosity, NMR image and spin-lattice relaxation are presented
in this work. (C) 2000 Society of Chemical Industry.