Computational studies of the helium-lithium hydride system

Physics

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We have computed an ab initio potential energy surface for the He-LiH system. We compute the He- LiH interaction energy at the CCSD(T) level using large correlation consistent atomic basis sets supplemented with bond functions. To capture the severe anisotropy of the He-LH potential, we interpolate our ab initio points in the angular direction with cubic splines, then expand the splines in terms of Legendre polynomials. We have constructed both a He-LiH rigid rotor potential and a complete He-LiH potential where the LiH bond length is allowed to change. The resulting potential surface has a unique shape. The He- LiH rigid rotor colinear geometry has a very attractive minimum of -176.7 cm-1, while the LiH-He colinear geometry has a local minimum of only -9.8 cm -1. Using our computed He-LiH potential energy surface, we investigate the collision dynamics of He-LiH. Using a totally quantum mechanical treatment of collisions dynamics, we compute both pure rotational and rovibrational state-to-state cross sections. We integrate our rovibrational cross sections over a Maxwell-Boltzmann distribution of energies to obtain temperature dependent vibrational excitation and relaxation rate constants. The vibrational excitation rate constants are very small for temperature below 400 K, but become significant at higher temperatures. These results suggests that He-LiH collisions probably were important in the very early Universe, especially in the larger primordial gas clouds. We also investigate the structure and dynamics of small HeN-LiH clusters using diffusion quantum Monte Carlo techniques. We find that three body effects are negligible, so we take the HeN-LiH potential to be a pairwise additive potential; we use the HFD-B3-FCI1 He-He potential of Aziz and Janzen [R. A. Aziz and A. R. Janzen, Phys. Rev. Lett. 74, 1586 (1995)] and our He-LiH potential. Because of the strong He-LiH attraction, one helium is always located in the attractive well at the lithium end of the LiH.

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