1834
H. Ikeda et al. / Tetrahedron Letters 46 (2005) 1831–1835
ꢀ
ꢁ
1=2
4p3
article can be found, in the online version, at
kbet
¼
h2kskbT
"
#
ꢀ
ꢁ
1
2
ꢀssw
ðks þ DGbet þ whmÞ
4kskbT
X
e
2
j V j
exp ꢀ
ð2Þ
ð3Þ
w!
w¼0
References and notes
1. Takahashi, Y.; Ohya, Y.; Ikeda, H.; Miyashi, T. J. Chem.
Soc., Chem. Commun. 1995, 1749–1750.
S ¼ kv=hm
2. For the importance of BET in the PET reactions, see: (a)
Wong, P. C.; Arnold, D. R. Tetrahedron Lett. 1979, 2101–
2104; (b) Kumar, C. V.; Chattopadhyay, S. K.; Das, P. K.
J. Chem. Soc., Chem. Commun. 1984, 1107–1109; (c)
Ikeda, H.; Minegishi, T.; Miyashi, T. J. Chem. Soc., Chem.
Commun. 1994, 297–298; (d) Karki, S. B.; Dinnocenzo, J.
P.; Farid, S.; Goodman, J. L.; Gould, I. R.; Zona, T. A. J.
Am. Chem. Soc. 1997, 119, 431–432; (e) Ikeda, H.;
Minegishi, T.; Abe, H.; Konno, A.; Goodman, J. L.;
Miyashi, T. J. Am. Chem. Soc. 1998, 120, 87–95; (f) Ikeda,
H.; Nakamura, T.; Miyashi, T.; Goodman, J. L.; Akiy-
ama, K.; Tero-Kubota, S.; Houmam, A.; Wayner, D. D.
M. J. Am. Chem. Soc. 1998, 120, 5832–5833; (g) Ikeda, H.;
Takasaki, T.; Takahashi, Y.; Konno, A.; Matsumoto, M.;
Hoshi, Y.; Aoki, T.; Suzuki, T.; Goodman, J. L.; Miyashi,
T. J. Org. Chem. 1999, 64, 1640–1649; (h) Miyashi, T.;
Ikeda, H.; Takahashi, Y. Acc. Chem. Res. 1999, 32, 815–
824; (i) Roth, H. D. J. Photochem. Photobiol. C 2001, 2,
93–116; (j) Ikeda, H.; Akiyama, K.; Takahashi, Y.;
Nakamura, T.; Ishizaki, S.; Shiratori, Y.; Ohaku, H.;
Goodman, J. L.; Houmam, A.; Wayner, D. D. M.; Tero-
Kubota, S.; Miyashi, T. J. Am. Chem. Soc. 2003, 125,
9147–9157.
where the parameters V, ks, kv, m, and DGbet are, respec-
tively, the electronic coupling matrix element (57 cmꢀ1),
solvent reorganization energy (1.52 eV), vibration reorga-
nization energy (0.25 eV), single average frequency
(1500 cmꢀ1), and free energy change for BET process
(ꢀ1.03 eV).11 In addition, h, kb, and T are PlanckÕs con-
stant, BoltzmannÕs constant, and the temperature
(298 K), respectively.
9. (a) Miller, J. R.; Beitz, J. V.; Huddleston, R. K. J. Am.
Chem. Soc. 1984, 106, 5057–5068; (b) Siders, P.; Marcus,
R. A. J. Am. Chem. Soc. 1981, 103, 741–747; (c) Siders, P.;
Marcus, R. A. J. Am. Chem. Soc. 1981, 103, 748–752; (d)
Van Duyne, R. P.; Fischer, S. F. Chem. Phys. 1974, 5,
183–197; (e) Ulstrup, J.; Jortner, J. J. Chem. Phys. 1975,
63, 4358–4368.
10. Inada, T. N.; Miyazawa, C. S.; Kikuchi, K.; Yamauchi,
M.; Nagata, T.; Takahashi, Y.; Ikeda, H.; Miyashi, T. J.
Am. Chem. Soc. 1999, 121, 7211–7219.
11. The value of DGbet = ꢀ1.03 eV was estimated by analyses
for an energy diagram for the NMQþBF4ꢀ-sensitized PET
reaction of 1. See the Supplementary data.
3. Abegg, V. P.; Hopkinson, A. C.; Lee-Ruff, E. Can. J.
Chem. 1978, 56, 99–103.
4. Nanosecond time-resolved absorption spectroscopy
upon LFP was carried out with a pulsed YAG laser
12. The value of kass is supposed to correspond to the diffusion
at
rate
constant
in
acetonitrile
25 ꢁC,
kdif = 1.9 · 1010
M
ꢀ1 sꢀ1
.
13. The value of kdis for [2Å+//NMQÅ]rip with DGbet = ꢀ1.03 eV
(Continuum Surelite-10, Nd, THG,
55 mJ) and a Xe arc lamp (150 W) as the monitoring
kex = 355 nm,
is supposed to correspond to that for [anisidine radical
DGbet =
cation//N-methylacridinium
radical]
10
with
ꢀ1.06 eV and kdis = 2.4 · 109 sꢀ1
.
light. A cutoff filter (Y-46, k > 435 nm) was used for
2 so as to avoid
the kinetic analysis of 2Å+ and
14. The value of k0 was determined as the intercept of a linear
relationship between kdecay(2Å+) or krise(2) and the absorp-
tion efficiency of NMQ+ (100-transmittance) on the
assumption that [NMQÅ] is proportional to the absorption
efficiency of NMQ+.
possible side reactions of 1 and 2 initiated by absorp-
tion of the monitoring light. Reactions of 1 affording 2
were also observed under these co-sensitized PET
conditions.
15. The values of half lifetime (s1/2) of 2Å+ under oxygen, air,
and degassed conditions in acetonitrile were 1.7, 1.6, and
1.6 ls, respectively.
5. A use of cationic sensitizers and chemically unreac-
tive aromatic hydrocarbons so-called co-sensitizers is
effective to observe radical cations in the LFP experi-
ments. Under these conditions,
cation is formed via electron transfer from
sensitizer to photoexcited sensitizer followed by
a
substrate radical
16. Barton, D. H. R.; Haynes, R. K.; Leclerc, G.; Magnus, P.
D.; Menzies, I. D. J. Chem. Soc., Perkin Trans. 1 1975,
2055–2065.
a
co-
a
hole transfer from a co-sensitizer radical cation to a
substrate.
6. Because DCN is transparent in the vis region, DCN was
used as a sensitizer instead of DCA in the monitoring
experiment of the time-dependent changes of absorption
spectra of the PET reaction of 1.
7. A n-butyl chloride solution containing 1 (5 mM) was
degassed by repeating five freeze (77 K)–pump
(10ꢀ3 mmHg)–thaw (ambient temperature) cycles and
sealed at 10ꢀ3 mmHg at 77 K. This matrix was irradiated
at 77 K for 40 h with c-rays from a 4.0 TBq 60Co source at
17. For recent examples of spectroscopic studies of chemical
capturing distonic radical cation intermediates with 3O2,
see Ref. 2e–g,j, and: Mizuno, K.; Tamai, T.; Hashida, I.;
Otsuji, Y.; Kuriyama, Y.; Tokumaru, K. J. Org. Chem.
1994, 59, 7329–7334.
18. The DOD of 2Å+ did not significantly change before or after
adding FN (0.185 mM) in the LFP experiment of 1
(0.3 mM) under NMQþBF4ꢀ–toluene-sensitized conditions
in dichloromethane.
19. A benzene solution containing 1 (1 mM), DCA (0.5 mM),
and FN (0–100 mM) was degassed by repeating five
freeze (77 K)–pump (10ꢀ3 mmHg)–thaw (ambient temper-
ature) cycles and sealed at 10ꢀ3 mmHg at 77 K. After
irradiation for 5 min with a Rayonet lamp (15 W, 350 nm)
at 20 ꢁC, the time-dependent change of the absorbance at
480 nm of the sample solution was monitored at constant
the Cobalt 60
c Ray Irradiation Facility, Tohoku
University.
8. The value of kbet for the BET from NMQÅ to 2Å+ at 25 ꢁC
in acetonitrile was calculated using the following Eqs.9 2
and 3 and parameters reported by Kikuchi and co-
workers10
temperature with
a
JASCO V-570 UV–vis/NIR