In the present work, we computationally study energetic stabilization of HHeF by its complexation with Xe atoms. For the studied (HHeFXen)-Xe-... 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. (C) 2004 Elsevier B.V. All rights reserved.