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Table 2. Aryl groups effect on the lifetime (t293) of S-DR3,4 in benzene at
293 K, and activation parameters (Ea, logA, DH°, and DS°) for the radical-cou-
pling reaction.
S-DR
3a/4a
3b/4b
3c/4c
3d/4d
3e/4e
lmax [nm][a]
t293 [ms][b]
n.d./575
0.94Æ0.3
n.d./595
1.38Æ0.4
n.d./587
2.21Æ0.2
n.d./598
6.24Æ0.4 19.6Æ0.8
n.d./598
/0.53Æ0.2 /0.88Æ0.3 /1.30Æ0.3 /5.68Æ0.4 /23.8Æ1.4
Ea [kJmolÀ1
]
37.2Æ0.6
37.7Æ0.5
40.8Æ0.2
42.6Æ0.1 48.5Æ0.1
[c]
/35.1Æ0.5 /35.8Æ0.6 /35.3Æ0.2 /43.1Æ0.2 /47.5Æ0.1
Log(A [sÀ1])[c] 12.7Æ0.1
12.6Æ0.1
13.0Æ0.1
12.8Æ0.1 13.3Æ0.1
/12.4Æ0.1 /12.4Æ0.1 /12.1Æ0.1 /12.9Æ0.1 /13.1Æ0.1
DH°
34.6Æ0.6
35.1Æ0.5
38.2Æ0.2
40.1Æ0.1 45.9Æ0.1
[d]
[kJmolÀ1
DS°
]
/32.6Æ0.5 /33.2Æ0.6 /32.7Æ0.4 /40.7Æ0.2 /45.0Æ0.4
À11.0Æ2.0 À12.5Æ1.6 À5.9Æ0.6 À8.2Æ0.4 2.1Æ0.3
/À13.2Æ1.7 /À15.4Æ2.0 /À20.3Æ1.3 /À5.7Æ0.5 /À2.5Æ0.5
[JmolÀ1 TÀ1
]
[d]
[a] Measured in MTHF at 110 K. Not determined (n. d.) for S-DR3. [b] In ben-
zene at 293 K; calculated from the Arrhenius parameter, Ea and LogA. The
error was obtained from the mean error of activation energy Ea. [c] Deter-
mined from the Arrhenius plot of the lifetimes of the singlet diradicals at
5 temperatures between 285 and 333 K. The mean error obtained from re-
gression analysis is shown as errors. [d] Determined from the Eyring plot of
the lifetimes of the singlet diradicals at 5 temperatures between 285 and
333 K. The mean error obtained from regression analysis is shown as errors.
Figure 4. (a) Absorption spectrum in the photolysis (lirr =360Æ10 nm) of
AZ4e (2 mm) in MTHF matrix at 110 K (blue line); (b) Transient absorption
spectrum in benzene after laser flash photolysis (355 nm, 7 mJ, 4–6-ns pulse)
of AZ4e (5 mm) under nitrogen at 295 K (orange point). (c,d) Time profile of
S-DR4e (lobs =600 nm) generated by the laser flash photolysis of AZ4e
(lexc =355 nm) in benzene at 295 K under nitrogen (c, black point) and
under air (d, red point).
has been assigned to the p–p* electronic transition of the p-
single bonding (C-p-C) system.[39]
The laser flash photolysis (LFP) of 5 mm benzene solution of
AZ3a–e and AZ4a–e was conducted using a 355-nm laser
(7 mJ, 4–6-ns pulse) in nitrogen atmosphere to directly observe
the transient species in the photolysis. The strong absorption
band at around 580 nm (Figure 4b) was attributed to the pho-
tolysis of AZ4e, which decayed with first-order kinetics having
a lifetime of about 20000 ns (Table 2, Figures 5 for the photol-
ysis of other AZ3,AZ4). The absorption band was consistent
with that observed for low-temperature photolysis of AZ4e
(Figure 4a). The lifetimes of the transient species were nearly
the same with those obtained in air (21000 ns, Figure 4c,d).
From the experimental results, the transient species detected
at around 580 nm was assigned to the singlet diradicals S-
DR3,4, which decay to the ring-closing compounds CP3,4
(Figure 3). Interestingly, the lifetime of S-DR4e is longer than
that of S-DR3e despite S-DR3 having a longer lifetime than S-
DR4 for other substituents (Table 2).
The lifetimes of singlet diradicals S-DR3,4 were largely de-
pendent on the substituent R’ (Table 2, Figure 5). The activa-
tion parameters, Ea, logA, DH°, and DS°, were determined
from the Arrhenius and Eyring plots, which were obtained by
measuring the temperature dependency of the lifetime at
285–333 K (Table 2, see also Figure S25–S28). As shown in
Table 2, the lifetime of S-DR3,4 lengthens with an increasing
size of the substituent. The bulkier group increased the activa-
tion energy (Ea) and activation enthalpy (DH°). To obtain infor-
mation on the mechanistic insights and substituent effect on
the decay of S-DR3,4, the activation entropy (DS°) was plotted
Figure 5. Time profile of S-DR3a–e (a,c) and S-DR4a–e (b,d) generated by
laser flash photolysis of AZ3,4a–e (lexc =355 nm) in benzene at 295 K.
against DH° (Figure 6). The isokinetic relationship[40,41] was
roughly observed for S-DR3a–e and S-DR4a–e. The correlation
displays that the introduction of the bulky groups increases
both the activation enthalpy and activation entropy (Enthalpy
and Entropy Compensation).
By comparison of the experimentally observed activation pa-
rameters (Table 2) with the computationally predicted reaction
pathways (Figure 2), the fate of S-DR3,4 was to produce the
corresponding inv-CP3,4, because the predicted activation en-
ergies from S-DR2 to inv-CP2 fit with the observed energy bar-
riers.[26,42] However, the observed product was ret-CP3,4 in the
photodenitrogenation of AZ3,4 at room temperature
(Figure 3). To understand the contradiction, AZ4e was irradiat-
ed in deuterium toluene (d8-tol) at 200 K in the NMR cavity
using a quartz rod with a 355-nm YAG laser (Figure 7).[42] After
12-min irradiation, two products were observed in a ratio of
75/25 by in situ NMR analysis (Figure 7b). By comparing the
NMR signals of the authentic sample of ret-CP4e, one of the
Chem. Asian J. 2019, 00, 0 – 0
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