2
80
RODEN, STARK, AND WADDINGTON
k4/k10 ϭ [H COCHCHO]/[C H CHO]
2
2
3
ϭ (6.2 Ϯ 0.5) ϫ 10Ϫ3 (III)
The rate constant k measured at 383 K can be ex-
4
trapolated to 403 K by assuming an A factor for the
8
3
Ϫ1 Ϫ1
reaction of 1.3 ϫ 10 dm mol s , which is the av-
erage of epoxidation A factors that have been mea-
6
sured [14], giving k (403 K) ϭ (3.3 Ϯ 2.3) ϫ 10
1
0
3
Ϫ1 Ϫ1
dm mol s , which is three orders of magnitude
faster than abstraction from acrolein. Since the yield
of peracetic acid increases with time, while the yield
of epoxide does not decrease with time, it is unlikely
that consumption of the epoxide by reaction with the
peracid is significant for this experiment.
Figure 5 Production of glycidaldehyde (ϩ) and 1-butene
oxide (᭺) during the co-oxidation of acetaldehyde, 1-butene
and acrolein: initial concentrations, [CH CHO]/[O ]/[He]/
Similarly, for the results described by Figure 4,
epoxidation of acrolein and 1-butene by peracetic acid
is unlikely to be significant, as the rates of formation
of the two epoxides are essentially unvarying, while
the concentration of the peracetic acid increases with
time. This is consistent with previous studies which
found that epoxidation by peracetic acid was always
minor in comparison with epoxidation by acetylpe-
roxyl radicals, in the early stages of the reaction
3
2
[
C H CHO]/[1-C H ] ϭ 10/10/8/1/1; total initial pressure,
2
3
4
8
4
00 mbar; 403 K.
k /k (383 K) ϭ
4
9
(
d[H COCHCHO]/dt) [1-C H ]
2
initial
4
8 initial
[10,15,16].
(
d[H COCHC H ]/dt) [C H CHO]
It is known that rate constants for the epoxidation
2
2
5
initial
2
3
initial
ϭ 1.33 Ϯ 0.31 (II)
of alkenes by peroxyl radicals correlate well to the
ionization energy of the double bond, with a lower
ionization energy giving a faster reaction [15,17]. This
is taken to indicate a degree of charge transfer at the
transition state for the initial addition of the peroxyl
radical to the double bond. The correlation for the ad-
dition of acetylperoxyl radicals to a series of substi-
tuted ethenes from propene to 2-methyl-2-butene
The rate constant for the epoxidation of 1-butene
7
3
Ϫ1 Ϫ1
(
9) has been determined (k ϭ 8.7 ϫ 10 dm mol s
9
Ϫ1
exp(Ϫ28.9 kJ mol /RT) (Ϯ65% at 383 K), [10]).
Hence, the rate constant for the formation of glycidal-
dehyde can be determined as k (383 K) ϭ (1.3 Ϯ 0.9)
ϫ 10 dm mol s . The co-oxidation of acetaldehyde
and acrolein cannot be used over a large enough tem-
perature range for Arrhenius parameters to be deter-
mined for the reaction, as below ca. 370 K the autox-
idation of acetaldehyde is too slow to be useful and
above ca. 400 K the further reaction of glycidaldehyde
4
4
3
Ϫ1 Ϫ1
[10,15,16] is given in Figure 6. Also included is the
rate constant for the epoxidation of acrolein, which
appears to be anomalously fast (by two orders of mag-
nitude) in comparison with extrapolation of the be-
havior of the epoxidation of the alkenes. The second
Ϫ
1
major photoionization peak at 1055 kJ mol has been
used as a measure of the ionization energy of the
C"C double bond, as the first photoionization peak
(
10) is too rapid in comparison with its rate of for-
mation.
Ϫ
1
at 975 kJ mol [18] is thought to be due to removal
of an electron from an orbital situated mainly on the
carbonyl oxygen atom [19]. The anomalously fast rate
for the epoxidation of acrolein may provide an ex-
planation for the autoxidation of acrolein at rela-
tively low temperatures (ca. 513 K) being consid-
erably slower than that of acetaldehyde or propanal
[20]. Chain branching during aldehyde autoxida-
tion is generally thought to be by decomposition of
the acyl hydroperoxide: for example, for acetal-
dehyde,
CH C(O)O ϩ H COCHCHO
3
2
и
2
и
CH C(O)O H ϩ H COCHCO (10)
3
2
2
For example, at 403 K (Fig. 5), the concentration
of butene oxide increases as expected, but that of gly-
cidaldehyde appears essentially constant. This behav-
ior is consistent with the glycidaldehyde being both
produced and consumed by peracetyl radicals (4 and
1
0) and from steady-state analysis: