A more accurate variant of the semiclassical quantum-mechanical treatment o
f Crothers (1986 J. Phys. B: At. Mol. Phys. 19 463-83) has been used to rei
nvestigate the ionization cross sections of He by electron impact at an exc
ess energy of 2 eV above the threshold. All partial wave contributions for
singlets and triplets are accounted for up to L = 6. It is found that withi
n the coplanar geometry, both the symmetric and asymmetric triple different
ial cross sections, peaking at and near the Wannier ridge, are greatly impr
oved when compared to the measurements (Rosel et al 1992 Phys. Rev. A 46 25
39-52). However, far away from the Wannier ridge the triple differential cr
oss sections tend to show qualitative differences from the measurements of
Rosel et al.