화학공학소재연구정보센터
Journal of Physical Chemistry A, Vol.106, No.40, 9159-9173, 2002
Rotational friction kernel in water from the femtosecond time-resolved optical Kerr effect of acetonitrile/water mixtures
Depolarized Rayleigh scattering (DRS) of acetonitrile/water mixtures is examined with the time-resolved, heterodyne-detected optical Kerr effect (OHD-OKE). For neat water, the rise of electronic response gives a symmetric apparatus function and an asymmetric correction is constructed with the help of high-frequency Raman data. For the mixtures at 21 degreesC, depolarized Raman spectra up to 1600 cm(-1) are obtained with high signal/noise ratio. The DRS spectra for acetonitrile mole fraction 0.05 less than or equal to x(ACN) less than or equal to 1 are decomposed into the spectra of water and of neat acetonitrile and a "composite" spectrum with associated weight functions. The spectral density at infinite dilution in water is obtained by extrapolation and transformed into the second-rank orientational correlation function of single acetonitrile solutes. The Einstein frequency of 31.11 cm(-1) is higher than the value of 27.11 cm(-1) for the potential-free stochastic rotor and an oscillation is observed in the corresponding velocity correlation function, both indicating librational motion in a solvent cage. The rotational correlation time tau(2) = 1.49 +/- 0.015 ps may be used to rescale tau(2) values from N-14 nuclear quadrupole relaxation in water; the comparison provides an improved value 4.54 +/-0.03 MHz for the coupling constant. The correlation function is inverted to give the kernel for rotational friction. The latter consists of a fast biexponential decay with a 33-fs correlation time followed by exponential decay with a 0.779-ps time constant. An oscillatory residue around 0.3 ps indicates coupling between acetonitrile libration and the water frictional modes.