The basic autoxidation scheme (BAS), first used by Bolland and Bateman
, has been widely applied to oxidation studies for almost 50 years. St
eady-state kinetic analysis of this reaction scheme has always depende
d upon making the simplifying assumptions of long kinetic chain length
and/or a specific ratio of termination rate constants. We present and
discuss a generalized steady-state kinetic solution to the BAS that i
s derived without any simplifying assumptions. We also combine this ge
neralized solution with diffusion expressions to derive theoretical ox
idation profiles appropriate to diffusion-limited oxidation situations
. The modeling predicts conditions yielding unusual dependencies of th
e oxidation rate on oxygen concentration and on initiation rate, as we
ll as conditions yielding some unusual profile shapes.