Structure, frequencies, H–H stretching frequency shifts, interaction energy, depth of the potential well and dissociation energy of the light cation–dihydrogen (M+–H2, where M = Li, Na, B, and Al) van der Waals complexes have been studied in detail using dispersion corrected double-hybrid and gradient-corrected density functional methods in conjunction with correlation consistent valence triple-ζ basis set. Equilibrium bond distance and dissociation energy agree very well with the experimental and theoretical values wherever available. The dissociation energies of Li+–H2, B+–H2, Na+–H2, and Al+–H2 van der Waals complexes calculated from the potential energy curves at mPW2PLYP-D/cc-pVTZ level are 4.83, 3.68, 2.42, and 1.25 kcal/mol, respectively, at a distances of 1.95, 2.25, 2.40, and 2.95 Å. Among all these complexes, Al+–H2 complex is comparatively less stable, as their dissociation energy as well as depth of the potential well are smaller compared to others complexes. The symmetry-adapted perturbation theory (SAPT) has been applied to quantify the nature of interactions. The SAPT results show that the contribution of dispersion and induction are significant, although electrostatic dominates.
