We calculate the cross sections of the elastic and inelastic breakup m
odes for the inclusive breakup reaction Si-28(B-8,Be-7) at beam energi
es between 10 and 40 MeV/nucleon within a direct fragmentation model f
ormulated in the framework of the post-form distorted-wave Born approx
imation. In contrast to the case of the stable isotopes, the inelastic
breakup mode is found to contribute only up to 30% to the total break
up cross section, which is in agreement with the recently measured exp
erimental data. However, the high energy tail of the energy spectra of
Be-7 fragments is dominated by the inelastic breakup mode. The breaku
p amplitude is found to be dominated by contributions from distances w
ell beyond the nuclear surface. [S0556-2813(98)00705-5].