We have developed a new method to compute numerically exact ro-vibrational levels of Van der Waals dimers with flexible monomers and applied it to water dimer, 12 vibrational coordinates, and Cl^��- - H2O, 6 vibrational coordinates. The method uses vibrational basis functions that are products of an inter-monomer function and intra-monomer functions. The inter-monomer function is a product of Wigner functions and an inter-monomer stretch function. The intra-monomer<br/>functions are monomer vibrational wavefunctions. When the coupling between inter- and intra-monomer coordinates is weak, this new basis is very e�fficient and only a few monomer vibrational wavefunctions are necessary. The product structure of the basis makes it e�fficient to use the Lanczos algorithm to calculate eigenvalues and eigenfunctions of the Hamiltonian matrix. For water dimer, it is necessary to do (12-D) integrals by quadrature, but crucial to obviate the need to keep values of the potential on the full direct product quadrature grid in memory (if there were 10 quadrature points per coordinate, the full grid would have 10^12 points (� ~8000 GB)). This is done by storing an intermediate matrix (X.-G. Wang and T. Carrington Jr. J. Chem. Phys. 119, 101 (2003) and 129, 234102 (2008)). It represents the potential at a set of values of the 6 intermolecular coordinates in the intra-monomer basis. For water dimer, we have obtained numerically exact inter-monomer energy levels on the CCpol-8sf ab initio potential energy surface and compare them with results obtained using the 6D + 6D adiabatic approach of C. Leforestier, K. Szalewicz, and A. van der Avoid, J. Chem. Phys. 137, 014305 (2012).

Using contracted basis functions and the Lanczos algorithm to compute spectra of exible Van der Waals dimers

251st National Meeting (2016)

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