Mg. Brereton et Me. Ries, AN ANALYTIC STUDY OF THE NMR PROPERTIES FOR DEFORMED POLYMER NETWORKSBLENDED WITH FREE CHAINS, Macromolecules, 29(7), 1996, pp. 2644-2651
We show that when a network is deformed, the line splitting seen from
NMR probe molecules located on the network or on free chains dissolved
in the network can be accounted for by considering the effect of isot
ropic excluded volume interactions. For a uniaxial deformation lambda
the splitting is proportional to (lambda(2) - lambda(-1)) and inversel
y proportional to the molecular weight of the network chains. The domi
nant contribution depends linearly on the network fraction and is dire
ctly related to the ratio of the Edwards screening length to the lengt
h of the statistical segments. Smaller effects are present which also
depend on the concentration, molecular weight, and chemical nature of
the free chains as well as the molecular weight of the network chains.
For chains which show a preference to microphase separate these effec
ts can be strongly enhanced. A variety of specific predictions are mad
e as the phase separation point is approached which reflect the statis
tical mechanics of the process.