Cyclization Reaction in Photochromic Furyl Fulgides
J. Phys. Chem. A, Vol. 101, No. 4, 1997 505
TABLE 1: Model Parameters Obtained for Reaction Rates
ki (ps-1), Time Constants τi (ps), and Relative Extinction
Coefficients Ej,νj of 1 and 2 in Toluene (tol) and Acetonitrile
(acn) at Maxima of Band Ba
via P2 on a 100-ps time scale. We have no evidence for the
nature of I nor for its energetic position relative to C*; it seems
to be very unlikely that I is an excited C state C* because upon
excitation of E, no fluorescence of C can be detected. In
addition, the time constant of the fluorescence decay of 2C upon
excitation at 18 800 cm-1 is larger than 100 ps and therefore
much larger than the time constant for the relaxation of I.
Switching Times. The photoisomerization E h C of fulgides
can be used for optical data storage and imaging; it can also be
regarded as a reversible optically induced switching process.
For the photoinduced cyclization E f C examined, two
“switching times” can be defined on the basis of our time-
resolved measurements:
(1) The first switching time is the time delay between the
excitation and the detection of C0 population; this is determined
by time constants τ1 and τ2 and corresponds to the closing of a
photoswitch or to the minimum write f read delay in a
recording device.
(2) The second switching time is the time delay between the
excitation and the completion of the photoreaction, i.e., maxi-
mum population of C0 without measurable change; this is
governed by the largest of the time constants τ3, τ4, and τ5 and
corresponds to the minimum write f erase delay in a recording
device.
The existence of C0 population according to case 1 is
indicated by the observation of C* r C0 absorption and thus
by band B. Following the definition given above, our experi-
ments yield switching times of approximately 1 ps for 1 and 2,
depending mainly on the time constants of the direct reaction
pathway P1.
The photoreaction is completed in the sense of definition 2
when band B reaches its maximum intensity. Thus, the
corresponding switching times are 70 (60) ps for 1 in toluene
(acetonitrile) and 200 ps for 2 in toluene. They are determined
by the time constants of the indirect reaction pathway P2.
νj, cm-1 k1 k2 k3 k4
k5
τ1 τ2 τ3 τ4 τ5 ꢀ1,νj ꢀ2,νj
1 tol 19 600 2.9 0.3 0.4 0.1 0.004 0.3 3.3 2.7 16 230 0.3 ≈0
acn 18 800 3.7 0.4 0.4 0.1 0.004 0.3 2.8 2.3 12 250 0.3 ≈0
2 tol 19 200 4.0 0.4 0.7 0.1 0.02 0.3 2.6 1.4 32 62 0.4 ≈0
acn 17 700
a As the measurements on 2 in acetonitrile were limited to short
delay times, numerical analysis was not possible.
state absorption of the closed C isomer since the center
wavenumber and spectral shape agree with those of the cw
absorption of C (cf. Figure 2). As C0 is the final state of the
reaction process, the appearance of band B indicates the
photoreaction E f C of a certain number of molecules; in
particular, when B reaches its maximum intensity, the conver-
sion of a fraction φEC of the excited molecules is complete.
The convolution of model function (12) with the Gaussian
system response function can be fitted to the experimental data,
i.e., the time evolution of the transient absorption at a certain
wavenumber νj, as exemplified in Figure 3; this procedure yields
a set of reaction rates ki, corresponding time constants τi ) 1/ki,
and relative molar extinction coefficients ꢀj,νj (cf. eq 11), with
an uncertainty of (30% inherent to the numerical analysis. Table
1 summarizes the results obtained by this method for 1 and 2
in toluene and acetonitrile. Reaction quantum yields are φEC
) 18% and φCE ) 8.4% for 1 in toluene, φEC ) 17% and φCE
) 4.8% for 1 in acetonitrile, and φEC ) 17% and φCE ) 34%
for 2 in toluene.
No E* fluorescence could be detected; thus, since k1 is larger
than k2 and k3 by 1 order of magnitude, the fast decay of the
E* transient absorption (band A) is caused by nonradiative
relaxation E* f E0. Transitions from E* to I and C0 are of the
same order of magnitude. I decays much more slowly than
E*; in the case of 1, relaxation from I is mainly to C0 as reflected
by the respective k4/k5 ratios. Independent of solvent, substitu-
tion, and wavenumber, we find the general relation ꢀ1,νj . ꢀ2,νj
≈ 0 within the error limits of the numerical analysis. We
therefore do not consider the transient absorption of state I in
the interpretation of the absorption spectra obtained from our
time-resolved measurements (e.g. Figure 1).
For 1, the relaxation from I to C0 is faster than for 2, as
indicated by rate constants k4 and relaxation times τ4. This is
in agreement with the observation of shorter rise times (60, 70
ps) of absorption band B for 1 as compared to 2 (200 ps). On
the cyclization reaction coordinate, I might be shifted toward
the E isomer by substitution of a bulky adamantylidene group,
thus reducing the I f C0 transition rate.
Reaction Pathways. After excitation of E, the ring-closure
reaction E f C proceeds via two different pathways: firstly,
on a fast direct pathway P1, E* f C0; secondly, on a slow
indirect pathway P2, E* f I f C0. The relative weight of P1
and P2 is given by the ratio P1/P2 ) k2/(k3[k4/(k4 + k5)]). For
compound 1, both pathways are about equally important: P1/
P2 ≈ 0.9; i.e., 53% of the molecules undergoing ring closure
use the indirect pathway P2. On the other hand, for 2 in toluene,
investigation yields P1/P2 ≈ 0.8; therefore, the contribution of
P2 is somewhat larger, namely 56%.
Conclusions
The transient absorption of two furyl fulgides was investigated
with a subpicosecond time resolution. Based on the temporal
evolution of the absorption spectra, a model for the mechanism
of the cyclization reaction can be set up; this includes the ground
and excited states of E and C isomers as well as an intermediate
state whose nature is not evident. According to our model,
cyclization proceeds via two distinct pathways: a direct pathway
from the E* excited state to the C0 ground state and an indirect
pathway via the intermediate state I. The time demand of the
photocyclization depends on the process considered: while for
optical switching or recording of data the time constant is
approximately 1 ps, it is on a 100-ps time scale for the less
time-critical write f erase cycle in an optical storage device.
Acknowledgment. Support from the Deutsche Forschungs-
gemeinschaft (SFB 329) and Fonds der Chemischen Industrie
is gratefully acknowledged.
References and Notes
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In both cases, the intermediate state I works as a bottleneck,
delaying the transition from E* to C0 on account of its rather
long lifetime (τ4 > 10 ps) as compared to E* (τ1 e 0.3 ps). As
a consequence, the absorption band B does not increase
monoexponentially; after fast buildup of about 50% via P1 with
τ2 ≈ 3 ps, the absorption approaches its maximum intensity
(6) Kiji, J.; Okano, T.; Kitamura, H.; Yokoyama, Y.; Kubota, S.; Kurita,
Y. Bull. Chem. Soc. Jpn. 1995, 68, 616.