Notes
Ta ble 1. Secon d -Or d er Ra te Con sta n ts (kH) for
J . Org. Chem., Vol. 65, No. 6, 2000 1893
Sch em e 1
Hyd r ogen Abstr a ction by Br om in e Atom s in Va r iou s
Solven ts
a
kH (106 M-1 s-1
)
CH3CN/
C6H6
9:1 v/v
CH3CN/
t-BuC6H5
9:1 v/v
c
c
CH3CNb
C6H6
c
H-donor
methanol
1.6 ( 0.8 0.49 ( 0.02 0.44 ( 0.02
d
(1.0)
24 ( 1
(0.14)
32 ( 3
(0.05)
70 ( 6
(0.025)
(1.6)
6.4 ( 0.2
(0.45)
9.0 ( 0.3
(0.5)
(1.6)
5.6 ( 0.4
(0.16)
8.5 ( 0.2
(0.25)
diethyl ether
2-propanol
toluene
0.46 ( 0.03
(0.90)
In the presence of 10% (v/v) benzene or tert-butylben-
zene in acetonitrile solution, the second-order rate con-
stant kH for H-abstraction can be related to the equilib-
rium constant for π-complex formation (Scheme 1)
according to eq 1.
0.54 ( 0.04
(1.2)
19.5 ( 0.6
(0.055)
17.4 ( 0.5 0.64 ( 0.03
(0.06) (0.85)
a
Maximum molar concentration of H-donor used given in
b
•-
d
parentheses. Br2 as probe. c π-Complex as probe. Reaction
k1
k2Keq[XC6H5]
kH
)
+
(1)
was too slow to determine an accurate value.
1 + Keq[XC6H5] 1 + Keq[XC6H5]
reciprocal plots. The changes observed in Keq values as a
function of the type of aromatic π-donor are interpreted
in terms of electronic effects (i.e., Keq increases in the
presence of an electron-donating group such as t-Bu,
whereas a decrease is observed in the presence of an
electron-withdrawing group such as Cl). Not surprisingly,
Keq values are solvent dependent, and solvent effects can
be interpreted in terms of a balance between the ionizing
power and the complexation ability of the solvent. For
benzene π-complex formation, Keq in cyclohexane (a less
ionizing solvent than acetonitrile) is found to be (1.4 (
0.2) M-1, whereas in dichloromethane (complexing sol-
vent)12 the plot (not shown) of ∆A vs benzene concentra-
tion ([benzene] e 1 M) is essentially linear, indicating
The values of kH determined in acetonitrile solution
using Br2 as probe correspond indeed to k1, and are in
•-
excellent agreement with data in the literature.7 The
values of kH determined in benzene solution, on the other
hand, do not necessarily correspond to the reactivity of
the 1:1 π-complex, since in neat benzene complexes of
higher stoichiometry may most likely exist.15 The de-
crease in reactivity in the presence of aromatic solvents
clearly indicates that k2 is significantly lower than k1.
Assuming the second term of eq 1 to be negligible for 9:1
(v/v) acetonitrile/benzene and acetonitrile/tert-butylben-
zene solutions, one obtains kH/k1 ) (1 + Keq[C6H6])-1
.
From the ratio kH/k1, Keq values of (2.3 ( 0.4) M-1 and
(4.6 ( 0.6) M-1 are calculated for benzene and tert-
butylbenzene, respectively, in excellent agreement with
Keq values determined from absorption data (vide supra).
These results support the assumption that the second
term of eq 1 is negligible and clearly show that aromatics
act as modulators of bromine atom reactivity by control-
ling bromine atom concentration via complexation.
When toluene is used as H-donor in acetonitrile solu-
tion, at [toluene] > 0.01 M the corresponding π-complex
can be detected immediately after laser excitation. In fact,
bromine atom/toluene π-complex can be detected even in
neat toluene (λmax ) 535 nm, spectrum not shown) with
a lifetime of 172 ns. The latter is in very good agreement
with the lifetime estimated from the second-order rate
constant measured in neat benzene, i.e., 1/(6.4 × 105 M-1
s-1 × 9.39 M) ) 166 ns. Alternatively, if an intramolecu-
lar H-abstraction were to take place within toluene
π-complex, the second-order rate constants shown in
Table 1 for acetonitrile and benzene solutions would
represent the product between the corresponding equi-
librium constant for bromine atom/toluene π-complex
formation (assumed to be similar to that for tert-butyl-
benzene π-complex) and the first-order rate constant for
intramolecular H-abstraction. A first-order rate constant
K
eq e 0.1 M-1. This observation is in good agreement with
the value reported for bromine atom/benzene π-complex
formation in carbon tetrachloride (i.e., 0.2 M-1).3
Observed bromine atom reactivity (kobs) was deter-
mined by means of laser-flash photolysis, using the probe
technique13 based on the formation of detectable com-
plexes between bromine atoms and (i) aromatic com-
pounds (π-complex) or (ii) bromide anions (Br2•-). The
latter are characterized by having a strong absorption
band centered at 360 nm.14 In the presence of 10% (v/v)
benzene or tert-butylbenzene in acetonitrile, no change
could be detected in the second-order rate constant for
formation of Br2•- (i.e., (2.1 ( 0.3) × 1010 M-1 s-1), which
indicates that the reactivity of “free” and complexed
bromine atoms toward bromide anions in acetonitrile
solution are rather similar (i.e., diffusion controlled). In
neat benzene, the second-order rate constant for forma-
•-
tion of Br2 is (3.4 ( 0.2) × 109 M-1 s-1
.
Rates of hydrogen abstraction by bromine atoms were
determined by monitoring either the buildup at 390 nm
(Br2•- as probe) or the decay signal at 510 nm (π-complex
as probe) as a function of H-donor concentration ([RH]).
In all cases, second-order rate constants (kH) were
obtained from the slopes corresponding to the linear plots
(not shown) of kobs vs [RH]. Resulting values are sum-
marized in Table 1. Not surprisingly, the reactivity of
bromine atoms decreases in the presence of aromatic
compounds.
of 1.5 × 107 s-1 results from data in acetonitrile (Keq
)
4.6 M-1), whereas a value lower than 6.4 × 105 s-1 (and,
consequently, a lifetime of the order of microseconds)
would result from data in neat benzene. Since hydrogen
abstraction rates for bromine atoms seem to be largely
unaffected by the polarity of the solvent,8 the (at least)
23-fold change in first-order rate constant contradicts an
intramolecular process. However, the decrease in reactiv-
(12) Chateauneuf, J . E. J . Org. Chem. 1999, 64, 1054.
(13) Paul, H.; Small, R. D., J r.; Scaiano, J . C. J . Am. Chem. Soc.
1978, 4520.
(14) Hug, G. L. Optical Spectra on Nonmetallic Inorganic Transient
Species in Aqueous Solution; National Bureau of Standards: Wash-
ington, 1981; NSRDS-NBS 69, pp 160.
(15) J arzeba, W.; Thakur, K.; Ho¨rmann, A.; Barbara, P. F. J . Phys.
Chem. 1995, 99, 2016.