Polybutadiene star polymers, of nominal functionality 3, 4, 8 and 12,
all with arm lengths of approximately 30 000 g mol(-1), have been synt
hesized using chlorosilane coupling agents. Dynamic mechanical studies
have been carried out using parallel-plate rheometry at various tempe
ratures, and the data frequency-temperature shifted to produce master
curves. Fits to the Ball-McLeish constraint release theory indicate an
effective entanglement molecular weight somewhat higher than the lite
rature value for a linear polymer. This has been interpreted by consid
ering a dilution of constraints effect caused by the Rouse diffusion o
f the terminal section of the star arm, leading to a predicted modifie
d entanglement molecular weight similar to that found experimentally.
Evidence for the Rouse-like behavior of the terminal section has been
obtained from deuterium NMR spectra of a selectively deuterated sample
. The presence of small amounts of residual linear chains is shown to
be responsible for a further dilution of entanglements. An extension o
f the theoretical fits to include the high-frequency Rouse mode spectr
um shows a divergence between theory and experiment which is indicativ
e of the onset of the glass transition.