Dynamical calculations are carried out within the framework of the Frank-Co
ndon approximation, for collisions between H+ and Be4+ ions with H-2 molecu
les within the range of energies 0.05 less than or equal to E less than or
equal to 625 keV amu(-1). For the higher impact energies, we employ single-
particle models, using semiclassical and classical trajectory Monte Carlo a
dapted methods. The accuracy of the single-particle models is checked by co
mparing molecular data, transition probabilities and cross sections, with t
hose obtained with an ab initio approach and with experiment. We conclude t
hat a central potential approximation for the H-2 molecule yields accurate
capture and electron-loss cross sections for E greater than or equal to 0.5
keV amu(-1),and good ones in the energy region 0.1 less than or equal to E
less than or equal to 0.5 keV amu(-1). An analysis of the equivalent and n
on-equivalent-electrons bielectronic interpretations of the model potential
probabilities has been performed; for both reactions, comparison of the Ha
miltonian matrix elements in a diabatic representation supports the conclus
ion that an equivalent-electron picture is adequate to describe the active
electron of the H-2 molecule with an H-2(+) 'core'.