In the present work, we computationally study energetic stabilization of HHeF by its complexation with Xe atoms. For the studied HHeF
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Xe
n systems
(n=1–4,6), we found a large complexation-induced decrease of energy of HHeF with respect to its dissociation into atoms. As a working hypothesis, we assume that this stabilization effect continues for the larger systems (
n>6) as well. This suggests that dissociation of HHeF via the H–He stretching coordinate might be suppressed and its lifetime might be increased by inserting it into large Xe clusters or matrices.