The temperature- and pressure-dependent kinetics of the reaction between pr
opargyl and molecular oxygen have been studied with a combination of electr
onic structure theory, transition state theory, and the time-dependent mast
er equation. The stationary points on the potential energy surface were loc
ated with B3LYP density functional theory. Approximate QCISD(T,Full)/6-311+G(3df,2pd) energies were obtained at these stationary points. At low tempe
ratures the reaction is dominated by addition to the CH2 side of the propar
gyl radical followed by stabilization. However, addition to the CH side, wh
ich is followed by one of various possible internal rearrangements, becomes
the dominant process at higher temperatures. These internal rearrangements
involve a splitting of the O-2 bond via the formation of 3-, 4- or 5-membe
red rings, with the apparent products being CH2CO + HCO. Rearrangement via
the 3-membered ring is found to dominate the kinetics. Rearrangement from t
he CH2 addition product, via a 4-membered ring, would yield H2CO + HCCO, bu
t the barrier to this rearrangement is too high to be kinetically significa
nt. Other possible products require H transfers and, as a result, appear to
be kinetically irrelevant. Modest variations in the energetics of a few ke
y stationary points (most notably the entrance barrier heights) yield kinet
ic results that are in good agreement with the experimental results of Slag
le and Gutman (I. R. Slagle and D. Gutman, Proc. Combust. Inst., 1986, 21,
875) and of Atkinson and Hudgens (D. B. Atkinson and J. W. Hudgens, J. Phys
. Chem. A, 1999, 103, 4242).