irradiation is not inconsistent with the unique electronic
structure of 3b•+. According to orbital interaction theory,24
the characteristic electronic structure of 3b•+ is probably due
to the electronic coupling of two cyclopropene rings through
space and through two C-C σ-bonds (C1′-C1-Me). Similar
electronic couplings were suggested by theoretical calcula-
tions for the neutral forms of the parent bicyclopropenyl and
related compounds.25
The high efficiency of the PET reaction is another feature
of 3b. The corrected quantum efficiency (Φc)26 per ion radical
pair [3b•+/DCA•-] for the formation of 4b, 6b, and 7b at a
10 mM concentration of 3b is 1.4, indicating a chain
mechanism for the photoreaction of 3b. The hole transfer
(HT) from 4b•+ to 3b with a negative free energy change
(∆Ght < -0.81 eV) is a key process. If the rate of HT (kht)
is close to the diffusion control rate (2.2 × 1010 M-1 s-1 at
20 °C), the pseudo-first-order rate constant (kht[3b]) at the
initial stage is calculated to be 2.2 × 108 s-1, which is faster
than kbet < 7.6 × 107 s-1 for the BET27 from DCA•- to 4b•+.
Thus, 4b•+ acts as a carrier and undergoes HT much faster
than 6b•+ and 7b•+, which suffer BET30 from DCA•- much
faster than 4b•+. Interestingly, similar thermodynamics and
kinetics are expected for 4a•+, but the Φc of 3a is as low as
0.13. The remarkable difference in Φc between 3a and 3b
is probably due to the extreme distribution of the unpaired
electron and positive charge in 3b•+, which facilitates the
Wagner-Meerwein-type rearrangement of 3b•+ to 8b•+.
In conclusion, our experimental results first demonstrate
a new mechanism via Dewar benzene for the PET bicyclo-
propenyl-benzene rearrangements of tetraphenyl-substituted
bicyclopropenyl derivatives. This is in line with the mech-
anisms proposed by Weiss and Bergman for the Ag+-
catalyzed reactions and thermolyses. Consequently, this work
proposes a topologically common reaction pathway via
Dewar benzene that is applicable to thermolyses, Ag+-
catalyzed reactions, and PET reactions of tetraphenyl-
substituted bicyclopropenyl derivatives.
Acknowledgment. We gratefully acknowledge the fi-
nancial support of a Grant-in-Aid for Scientific Research on
Priority Areas (417) and others (Nos. 12440173 and 14050008)
from the Ministry of Education, Culture, Sports, Science,
and Technology (MEXT) of Japan.
Supporting Information Available: Experimental details
including physical data for 6 and 7 and Cartesian coordinates
and ΣF and Σq values for 3a•+ and 3b•+ (ROB3LYP/6-31G-
(p)). This material is available free of charge via the Internet
OL049917J
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(22) For the ab initio calculation of the related interaction complex
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(23) Raghavachari, K.; Roth, H. D. J. Am. Chem. Soc. 1989, 111, 7132-
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(27) Rate constant (kbet) for the BET from DCA•- to 4b•+ at 20 °C in
dichloromethane was calculated using the following equations (1,28 2,28 and
3) and parameters reported by Kikuchi and co-workers:29
(λs + ∆Gbet + whV)2
∞
1/2
4π3
e-sSw
2
kbet
)
|V|
exp
-
(1)
∑
2
(
)
(
)
{
}
W!
4λskbT
h λskbT
w)0
S ) λv/hν
(2)
(3)
∆Gbet ) -[Eox1/2(4b) - Ered1/2(DCA) - e2/ꢀr]
where parameters V, λs, λv, ν, and ∆Gbet are, respectively, the electronic
coupling matrix element (18 cm-1), solvent reorganization energy (1.0 eV),
vibration reorganization energy (0.3 eV), single average frequency (1500
cm-1), and free energy change for electron-transfer process. In addition, h,
kb, and T, are Planck’s constant, Boltzmann’s constant, and the temperature
(293 K), respectively.
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Takahashi, Y.; Miyashi, T. J. Phys. Chem. 1993, 97, 11960-11964.
(30) Values of kbet for the BET from DCA•- to 6b•+ and 7b•+ were
calculated to be 3.5 and 6.2 × 109 s-1, respectively.
(24) Rauk, A. Orbital Interaction Theory of Organic Chemistry; Wiley:
New York 1994; Chapter 3, pp 57-93.
(25) (a) Greenberg, A.; Liebman, J. F. J. Am. Chem. Soc. 1981, 103,
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Gleiter, R. HelV. Chim. Acta 1982, 65, 968-982.
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1032
Org. Lett., Vol. 6, No. 6, 2004