Effect of free volume and temperature on the structural relaxation in polymethylphenylsiloxane: A positron lifetime and pressure-volume-temperature study

The microstructure of the free volume and its temperature dependence in polymethylphenylsiloxane (PMPS) have been examined using positron annihilation lifetime spectroscopy (PALS) and pressure-volume-temperature experiments. The hole-free volume fraction h and the specific hole-free and occupied volumes, V-f=hV and V-occ=(1-h)V, were estimated employing the Simha-Somcynsky (SS) lattice-hole theory. From the PALS spectra analyzed with the new routine LT9.0 the hole size distribution, its mean, <nu(h)>, and mean dispersion, sigma(h), were calculated. A comparison of <nu(h)> with V and V-f delivered a constant specific hole number N-h('). Using a fluctuation approach the temperature dependency of the volume of the smallest representative freely fluctuating subsystem, < V-SV >, is estimated to vary from similar to 8.5 nm(3) at T-g to similar to 3 nm(3) at T/T-g >= 1.15. Unlike other polymers, the segmental relaxation from dielectric spectroscopy of PMPS follows the Cohen-Turnbull free volume theory almost perfectly in the temperature and pressure ranges between 243 and 279 K and 0 and similar to 100 MPa. This behavior correlates with the small mass of the SS lattice mer which indicates the high flexibility of the PMPS chain. Above 293 K and similar to 150 MPa, the free volume prediction gives relaxation times that are too small, which indicates that effects of thermal energy must be included in the analysis. To quantify the degree to which volume and thermal energy govern the structural dynamics the ratio of the activation enthalpies, E-i=R[(d ln tau/dT(1))](i) (tau-relaxation time of alpha relaxation), at constant volume V and constant pressure P, E-V/E-P, is frequently determined. The authors present arguments for necessity to substitute E-V with E-Vf, the activation enthalpy at constant (hole) free volume, and show that E-Vf/E-P changes as expected: increasing with increasing free volume, i.e., with increasing temperature and decreasing pressure. E-Vf/E-P (=0.04-0.1) exhibits remarkably smaller values than E-V/E-P (=0.44-0.53), which leads to the inference that the free volume plays a distinctly larger role in dynamics than traditionally concluded from E-V/E-P. This conclusion is in agreement with the results of our more direct Cohen-Turnbull free volume analysis. (c) 2007 American Institute of Physics.