The unimolecular dissociation of the
C3H4 isomers allene and propyne has been
examined using two
complementary shock-tube techniques: laser schlieren (LS) and
time-of-flight (TOF) mass spectrometry.
The LS experiments cover 1800−2500 K and 70−650 Torr, in 1, 2,
and 4% propyne/Kr and 1 and 2%
allene/Kr, whereas the TOF results extend from 1770 and 2081 K in 3%
allene or propyne in Ne. The
possible channels for unimolecular dissociation in the
C3H4 system of isomers are considered in
detail, using
new density functional theory calculations of the barriers for
insertion of several C3H2 into H2
to evaluate the
possibility of H2 elimination as a dissociation route.
The dominant path clearly remains CH fission, from
either isomer, as suggested in earlier work, although some small amount
of H2 elimination may be possible
from allene. Rate constants for the CH fission of both allene and
propyne were obtained by the usual model-assisted extrapolation of LS profiles to zero time using an extensive
mechanism constructed to be consistent
with both the time variation of LS gradients and the TOF product
profiles. This procedure then provides rate
constants effectively independent of both the near-thermoneutral
isomerization of the allene/propyne and of
secondary chain reactions. Derived rate constants show a strong,
persistent pressure dependence, i.e., a quite
unexpected deviation (falloff) from second-order behavior. These
rate constants are nearer first than second
order even for T > 2000 K. They are also anomalously
large; RRKM rates using literature barriers and
routine energy-transfer parameters are almost an order of magnitude too
slow. The two isomers show slightly
differing rates, and falloff is slightly less in allene. It is
suggested that isomerization is probably slow enough
for this difference to be real. The anomalously large rates and
falloff are both consistent with an unusually
large low-pressure-limit rate in this system. Extensive
isomerization of these C3H4 is possible for
energies
well below their CH fission barriers, and this can become hindered
internal rotation in the activated molecule.
On the C3H4 surface we identify three such
accessible rotors. State densities for the molecule
including
these rotors are calculated using a previous general classical
formulation. Insertion of these state densities
into the RRKM model results in rates quite close to the measured
magnitudes, and showing much of the
observed falloff. The increase in the low-pressure rate is as much
as a factor of 8; a necessary but nonetheless
remarkable effect of anharmonicity on the unimolecular rate. This
again demonstrates the importance of
accessible isomerization and consequent hindered internal rotation on
the rate of dissociation of unsaturated
species.