An off-centre detonation propagating near the interface between a C-O core
and a He envelope in a Type Ia supernova explosion is modelled as a steady
two-dimensional similarity solution at a plane interface. We assume that in
both regions the energy release occurs in an infinitely thin detonation, w
hich produces material in nuclear statistical equilibrium (NSE) in He and i
n nuclear statistical quasi-equilibrium in C-O. An alpha-network is then us
ed to determine the effect of the associated rarefaction wave in the C-O on
the final abundance of intermediate elements. We find that, although there
is a significant effect, the rarefaction is not strong enough to quench th
e reactions and prevent the C-O from burning to NSE.