Exciplexes
with Ionic Dopants: Stability, Structure,
and Experimental Relevance of M<sup>+</sup>(<sup>2</sup>P)<sup>4</sup>He<sub><i>n</i></sub> (M = Sr, Ba)
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Abstract
M<sup>+</sup>(<sup>2</sup>P)<sup>4</sup>He<sub><i>n</i></sub> species, possibly involved
in the post <sup>2</sup>P ← <sup>2</sup>S excitation dynamics
of Sr<sup>+</sup> and Ba<sup>+</sup> in cold <sup>4</sup>He gas or
droplets, are studied employing both
high level <i>ab initio</i> calculations to determine the
potential energy curves (PEC) and diffusion Monte Carlo (DMC) to obtain
information on their ground state structure and energetics. PEC for
the excited M<sup>+</sup>(<sup>2</sup>P)He dimers were obtained using
MRCI calculations with extended basis sets. Potential energy surfaces
(PES) for M<sup>+</sup>(<sup>2</sup>P)He<sub><i>n</i></sub> were built with the DIM model including spin–orbit coupling
via a perturbative procedure. DMC simulations indicated several exciplexes
(<i>n</i> > 2) to be stable against He dissociation whatever
the ion state, a finding that is at variance with what was previously
suggested for Ba<sup>+</sup>(<sup>2</sup>P<sub>1/2</sub>) due to the
repulsive nature of the interaction potential obtained in [Phys. Rev. A 2004, 69, 042505]. Our results,
instead, support the suggestion made in [J. Chem. Phys. 2012, 137, 051102] for the
existence of Ba<sup>+</sup>(<sup>2</sup>P<sub>1/2</sub>)He<sub><i>n</i></sub> exciplexes emitted following the excitation of the
barium cation solvated into He droplets. In the <sup>2</sup>P<sub>1/2</sub> state, the Ba ion also shows a peculiar behavior as a function
of <i>n</i> with respect to the location and binding strength
of the attached He atoms compared to Sr<sup>+</sup>. Although the
latter forms the usual equatorial He ring, Ba<sup>+</sup> deviates
from this geometry for 1 ≤ <i>n</i> ≤ 4, with
the radial distribution functions strongly depending on the number
of solvent atoms. Finally, a putative species is proposed to explain
the emission band at 523 nm that follows D1 or D2 excitation of Ba<sup>+</sup> in superfluid bulk helium