A simple model to calculate the total ionization cross sections of a molecu
le due to electron impact has been obtained by combining the useful feature
s of the two previous models given by Kim and Rudd (1994 Phys. Rev. A 50 39
54) and Saksena et al (1997 Physica B 233 201, 1997 Int. J. Mass Spectrom.
ion Process. 171 L1). It is shown that the Bethe and Mott cross section ter
ms obtained by Kim and Rudd are the approximate forms of the present expres
sions. The calculated cross sections for the CH4 molecule are in satisfacto
ry agreement with a number of experimental data over a wide energy range va
rying from 15 eV to 2.7 MeV. Although the present Bethe and Mott cross sect
ions in the binary-encounter-Bethe model are different from the correspondi
ng cross sections of Kim et al (1997 J. Chem. Phys. 106 1026), the total io
nization cross sections obtained in these two investigations are very close
to each other. For impact energies greater than about 40 eV the present cr
oss sections are in good accord with those given by the Saksena model. Howe
ver, at lower energies the present cross sections are greater than those gi
ven by the above model and are in better agreement with the experimental da
ta. The present value of the collisional parameter is about 10% lower than
the experimental value of Reike and Prepejchal (1972 Phys. Rev. A 6 1507).