Scheme 3.
Table 3. Energetics of each mechanistic step of the hydride
¹
transfer reactions from G-XH to T+ shown in Scheme 3
Figure 1. Comparison of state energy changes for the three
¹1 a
¹
possible initial steps of the hydride transfer from H-XH to T+
(kcal mol
)
and the activation energy of the hydride transfer in acetonitrile.
¦H (or ¦G)
step a step b step c step d step e step f
Groups
Because the state energy change of step a is a quite large
negative value and that of step b is a positive value, it seems to
be that the one-step hydride transfer (step a) should be the most
likely process. However, the mass of an electron is much smaller
than that of the hydrogen atomic nucleus (proton), and the
electron transfer should be more favorable than the proton
transfer, which can receive the strong support from the Franck-
Condon principle.19 This is also to say that the mechanism is due
to the energetic of the initial electron transfer rather than that of
the overall hydride transfer, which was already verified and
accepted by most chemists.20 In addition, summarizing the
existing experimental facts, Cheng suggested that the one-step
hydride transfer mechanism is impossible when the energetic
p-CH3O ¹31.3
8.5
8.7
9.0
9.5
10.5
28.4
27.8
26.7
25.5
22.0
59.7
58.9
57.4
55.4
50.9
¹39.8 ¹59.7
¹39.8 ¹58.9
¹39.7 ¹57.4
¹39.4 ¹55.4
¹39.4 ¹50.9
p-CH3
p-H
p-Br
¹31.1
¹30.7
¹29.9
¹28.9
p-NO2
aThe state energy changes are scaled by using enthalpy
changes for steps c-e and by using free energy changes for
steps b and f.
platform12 on the possible mechanisms was first constructed
(Scheme 3), and the change of the standard state energy of each
reaction step (Table 3)18 can be estimated according to eqs 4-9,
of which eqs 6-9 were derived from three suitable thermody-
namic cycles according to Hess’ law.17
of the initial electron transfer is much smaller than 23.1
¹1 21
kcal mol
.
Therefore, on the basis of these theoretical
foundations and empirical rules, the only possible initial step
for the overall hydride transfer, whose initial electron transfer
energetic is much smaller than 23.1 kcal mol¹1, is the electron
transfer. Similarly, the quite large value of the state energy
changes for step d (PT) as well as the comparison of the state
energy changes for step d and the activation energies of the
hydride transfer reactions also ruled proton transfer out as the
second step of the overall hydride transfer. Therefore, the only
possible second step for the overall hydride transfer from
ꢀH ðstep aÞ ¼ ꢀHrxn
(4)
ð5Þ
ð6Þ
ꢀG ðstep bÞ ¼ ꢀF½EredðTþÞ ꢀ EoxðG-XHꢀÞꢁ
ꢀH ðstep cÞ ¼ ꢀHrxn ꢀ F½EredðG-XÞ ꢀ EoxðTHÞꢁ
ꢀH ðstep dÞ ¼ ꢀHrxn ꢀ F½EredðG-XÞ ꢀ EoxðTHÞꢁ
þ F½EredðTþÞ ꢀ EoxðG-XHÞꢁ
ð7Þ
ꢀH ðstep eÞ ¼ ꢀHrxn þ F½EredðTþÞ ꢀ EoxðG-XHÞꢁ ð8Þ
ꢀG ðstep fÞ ¼ F½EredðG-XÞ ꢀ EoxðTHÞꢁ
ð9Þ
¹
G-XH to T+ is the hydrogen atom transfer.
From Table 3, it is clear that for the five hydride transfer
reactions, the state energy change of step c (28.4-22.0
kcal mol¹1) is a quite large positive value. Therefore, it is
reasonable that the process of hydrogen atom transfer (step c)
can be ruled out as the initial step.
This was also confirmed by the comparison of the state
energy changes of the three possible initial steps and the
activation energies (Figure 1). Because the activation energies of
the reactions are much smaller than the corresponding standard
state energy changes of the initial hydrogen transfer, but larger
than those of the concerted hydride transfer (step a) or the
electron transfer (step b), the initial hydrogen atom transfer as
the isolated reaction step is impossible according to one of the
most fundamental reaction laws that the activation energy is
always larger than or at least equal to the corresponding standard
state energy change for any elementary reaction.
In fact, this multistep (e-H) mechanism could be further
verified by the value of KIE (about 1, in Table 2) when H and D
atoms were used as the isotopic atoms. This means that the rate-
determining step does not involve the transfer of the H nucleus.
Thus, it can be concluded that step a, step c, or step d is
impossible as the rate-determining step.
On the basis of the above, the only possible mechanism is
the electron transfer followed by the hydrogen atom transfer.
References and Notes
1
T. W. G. Solomons, C. B. Fryhle, Organic Chemistry, 8th
ed., Wiley, New York, 2004, pp. 287-370.
2
M. C. Haibach, S. Kundu, M. Brookhart, A. S. Goldman,
3
4
O. Robles, S. O. Serna-Saldívar, J. A. Gutiérrez-Uribe, D.
© 2014 The Chemical Society of Japan