Energy transfer and reaction dynamics of matrix-isolated 1,2-difluoroethane-d4

Abstract

The molecular dynamics of vibrationally excited 1,2-difluoroethane-d4 isolated in Ar, Kr, and Xe matrices at 12 K are investigated using trajectory methods. The matrix model is an fcc crystal containing 125 unit cells with 666 atoms in a cubic (5×5×5) arrangement. It is assumed that 1,2-difluoroethane-d4 is held interstitially within the volume bounded by the innermost unit cell of the crystal. The transport effects of the bulk are simulated using the velocity reset method introduced by Riley, Coltrin, and Diestler [J. Chem. Phys. 88, 5934 (1988)]. The system potential is written as the separable sum of a lattice potential, a lattice–molecule interaction and a gas-phase potential for 1,2-difluoroethane. The first two of these are assumed to have pairwise form while the molecular potential is a modified form of the global potential previously developed for 1,2-difluoroethane [J. Phys. Chem. 91, 3266 (1987)]. Calculated sublimation energies for the pure crystals are in good accord with the experimental data. The distribution of metastable-state energies for matrix-isolated 1,2-difluoroethane-d4 is Gaussian in form. In krypton, the full width at half maximum for the distribution is 0.37 eV. For a total excitation energy of 6.314 eV, the observed dynamic processes are vibrational relaxation, orientational exchange, and four-center DF elimination reactions. The first of these processes is characterized by a near linear, first-order decay curve with rate coefficients in the range 1.30–1.48×1011 s−1. The average rates in krypton and xenon are nearly equal. The process is slightly slower in argon. The decay curves exhibit characteristic high-frequency oscillations that are generally seen in energy transfer studies. It is demonstrated that these oscillations are associated with the frequencies for intramolecular energy transfer so that the entire frequency spectrum for such transfer processes can be obtained from the Fourier transform of the decay curve. Orientational exchange is shown to occur with much greater frequency as the unit cell spacing decreases. The occurrence of orientational exchange generally results in a very rapid dissipation of molecular rotational energy to the lattice which causes a characteristic break to occur in the decay curve. It is shown that 16% of the total energy transfer to the lattice in argon is a result of such rotational energy transfer. The propensity for four-center DF elimination is found to be greater in argon than in either krypton or xenon. The relaxation data show that this effect is not the result of different energy transfer rates but is probably associated with steric effects resulting from the smaller lattice dimensions in argon. Isotope effects upon the energy partitioning in unimolecular reactions of 1,2-difluoroethane and upon the energy transfer dynamics under matrix-isolation conditions are also reported.