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rate ¼ k ½A½SmI
ð8Þ
water molecule may transfer a proton either to the carbonyl
radical anion or to the amine. In both cases, proton transfer
takes place between two heteroatoms. Why then is proton
transfer to the amine of the magic mixture more facile than
proton transfer from water to the oxygen atom in the radical
anion? The answer lies, most probably, in the realm of electro-
static interactions. We have shown that electrostatic interac-
tions between the radical anions
1
2
Namely, electron transfer is the rate-determining step and
the rate constant (k ) can be determined by back extrapolation
1
of the data from the plateau region to an amine concentration
of zero. Once k is known, the ratio k /k [Eq. (7)] can be de-
1
2
À1
termined. Relevant data is presented in Table 1.
Table 1. Kinetic analysis for the reactions with SmI
2
under Cabri–Hilmersson conditions.
of p-dimethylaminobenzophe-
III
none and [Sm ][2I], amounts to
[
a]
À1 À1
À1
Entry
Substrate (amine)
Dk/D (NR
3
)
k
1
[m
s
]
2
k /kÀ1 [m ]
À1 [20]
about 30 kcalmol .
Because
1
2
3
4
3-methyl-2-butanone (Et
3-methyl-2-butanone (TMEDA)
p-cyanobenzyl chloride (EDIPA)
3
anthracene (Et N)
3
N)
4130
2920
14390
250
19900
17400
26000
9400
21
18
55
3
the radical anion of the aliphatic
ketone of the present study is
much “harder” than the highly
delocalized benzophenone radi-
cal anion, its interaction with
III
À1
[21]
The electron-transfer rate constant (k ) for 3-methyl-2-buta-
“hard” Sm may be 5–10 kcalmol stronger. Thus, protona-
tion of the carbonyl radical anion will result in a loss of stabili-
1
none was determined in two experiments, each with a different
amine (Table 1, entries 1 and 2): (18700Æ1250)mÀ1 sÀ1. This
value is slightly lower than that for p-cyanobenzyl chloride
and, as expected, significantly higher than that for anthracene.
À1
zation energy of at least 35 kcalmol relative to proton trans-
fer to the amine. This rough estimate provides a good explana-
tion for the superiority of the magic mixture over direct proton
transfer to the carbonyl radical anion.
The k /k value in Table 1 is slightly higher for Et N than that
2
À1
3
for TMEDA. Because k is independent of the amine, this re-
À1
flects the relative kinetic basicity of the two amines. A compar-
ison of the results given in Table 1, entries 1 and 4, keeping in
mind that the deprotonation rate constants are identical in the
two cases, shows that the rate constant for back electron
Conclusion
Based on the evidence gathered, the most probable main reac-
tion mechanism for reduction by a mixture of water/amine/
transfer, k , is seven times larger for anthracene than that for
À1
2
SmI , is deprotonation of a water molecule complexed to SmI2
3
-methyl-2-butanone.
by an amine molecule after the electron-transfer step. This de-
Finally, we would like to discuss the differences between the
protonation, which binds a negatively charged hydroxide ion
two methods that enhance the reaction by competing with or
III
to Sm reduces its electrophilicity, and therefore, reduces the
effectively reducing the back electron transfer step [k ;
À1
rate of back electron transfer within the ion pair. By conduct-
ing a buffer experiment, it was shown that all reactions, at rela-
tively low amine concentration, were general base catalyzed.
In other words, deprotonation can be effected by any base in
the system, including water and hydroxide. The case of benzyl
chloride, for which electron transfer and cleavage of the CÀCl
bond take place in a single step [Eq. (3)], is unique among the
substrates, since no saturation is observed in the plot of rate
versus [amine]. Because electron transfer is irreversible and de-
protonation is rate determining, the reaction must be PCET.
Eq. (4)]. The first one is unimolecular protonation by proton
donors such as water or a molecule of methanol complexed to
SmI . The complexed proton donor protonates efficiently the
2
radical anion within the ion pair [increasing k in Eq. (9)], push-
2
ing the reaction forward.
The fact that, despite the ability of water molecules com-
plexed to SmI to unimolecularly protonate the radical anion,
2
there is a strong dependence of the rate on the amine concen-
tration. This indicates that the magic mixture is more effective
at preventing back electron transfer than protonation of the
radical anion, despite the fact that deprotonation is bimolecu-
lar. When protonation is supposed to take place on a carbon
atom, as is the case with anthracene, the explanation is rather
simple. Protonation on carbon, even if thermodynamically fa-
vored, is known to be slow and usually cannot compete with
proton transfer between two heteroatoms, such as between
Experimental Section
General
All reagents were purified prior to use by following standard pro-
[22]
cedures. Liquid reagents (substrates, water, and amines) were
degassed with argon prior to use. THF was dried and freshly dis-
tilled from sodium/benzophenone under an argon atmosphere.
SmI was freshly prepared prior to use by stirring samarium metal
2
[1b]
and 1,2-diiodoethane at room temperature. The concentration
of SmI2 was determined by UV/Vis spectroscopic measurements
[
17]
amine and water. Therefore, in these cases, the first method
internal protonation) is not expected to successfully compete
(l=619 nm; e=635). Kinetic and preparative reactions were car-
(
ried out in clean and dry glassware under a nitrogen atmosphere.
NMR spectra were recorded by using 300/400 MHz Bruker instru-
ments.
with the magic mixture. However, the case of carbonyl com-
pounds presents a more difficult problem. In this case, the
Chem. Eur. J. 2015, 21, 18394 – 18400
18399
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