The dynamics and infrared absorption spectrum of the protonated water dimer
are reported by full quantum simulation. Strong couplings between the
spectroscopically active proton-transfer motion and low-frequency,
large-amplitude torsional modes are clearly identified and their role in the
cluster dynamics is explained. These couplings are responsible for the
characteristic doublet-peak around 1000 cm-1, which was not understood and
subject of debate. This spectral feature is reproduced, assigned and explained.Comment: 7 pages, 5 figures, accepted version in Angewandte Chemie. The
content is the same as in older versions, the style was adapted to match the
requirements of Ange. Che
Quantum-dynamical full-dimensional (15D) calculations are reported for the protonated water dimer (H5O2+) using the multiconfiguration time-dependent Hartree (MCTDH) method. The dynamics is described by curvilinear coordinates. The expression of the kinetic energy operator in this set of coordinates is given and its derivation, following the polyspherical method, is discussed. The potential-energy surface (PES) employed is that of Huang et al. [J. Chem. Phys. 122, 044308 (2005)]. A scheme for the representation of the PES is discussed which is based on a high-dimensional model representation scheme, but modified to take advantage of the mode-combination representation of the vibrational wave function used in MCTDH. The convergence of the PES expansion used is quantified and evidence is provided that it correctly reproduces the reference PES at least for the range of energies of interest. The reported zero point energy of the system is converged with respect to the MCTDH expansion and in excellent agreement (16.7 cm(-1) below) with the diffusion Monte Carlo result on the PES of Huang et al. The highly fluxional nature of the cation is accounted for through use of curvilinear coordinates. The system is found to interconvert between equivalent minima through wagging and internal rotation motions already when in the ground vibrational state, i.e., T=0. It is shown that a converged quantum-dynamical description of such a flexible, multiminima system is possible.
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