698 S. Delbaere et al.
Acknowledgements The 300 MHz NMR facilities were funded by
the Re´gion Nord-Pas de Calais (France), the Ministe`re de
l’Education Nationale, de l’Enseignement Supe´rieur et de la Re-
cherche (MENESR) and the Fonds Europe´ens de De´veloppement
Re´gional (FEDER).
give medium activation values although the extreme values
correspond to the process from X. Regarding the values of
the entropy changes, they are all negative, indicating a loss
of degrees of freedom between the open forms and the tran-
sition states.
(X CTC), we can assume the formation of TTC with
⌬ → TTC) being much greater than ⌬
S#(X S#
APPENDIX
→
greater ease than CTC.
In the particular case of our simple mechanism (see Scheme 2), the
differential equations are algebraically tractable.
Indeed, the bleaching of X follows a monoexponential function,
where X0 is the initial concentration and k1 ϩ k3 is the rate parameter
for the bleaching.
The intermediate form X was assumed to be twisted and
stabilized by a hydrogen bridge in a closed-like configura-
tion, but with the C–O bond open. The formation of TTC
and CTC from X requires twisting around some bonds, i.e.
around C1–C2 and C2–C3 in this naphtho-protonated form.
During this process, the presence of the proton allows the
formation of hydrogen bonding between O–H and F (the
dipole moment for fluorobenzene is 1.6 D) (34). If this hy-
drogen bond brings the two atoms (O and F) into close prox-
imity during the rotations, it could catalyze the formation of
TTC. On the other hand, if the O–H· · ·F hydrogen bonding
is not in place, the oxygen and fluorine atoms are inclined
to move away from each other by electrostatic repulsive
forces. The rotation around the C2–C3 bond is executed in
the opposite direction and could lead to the formation of
X
ϭ
X0· exp[
Ϫ
(k1
ϩ
k3)·t]
(6)
For CTC and TTC, analytical solution shows that all the time-
dependent profiles are biexponential curves with apparent rate con-
stants a1, a2, b1 and b2 (Eqs. 7 and 8).
[CTC]
[TTC]
ϭ
ϭ
A1·exp(
Ϫ
a1·t)
ϩ
ϩ
A2·exp(
Ϫ
a2·t)
(7)
(8)
B1·exp(
Ϫ
b1·t)
B2·exp(
Ϫ
b2·t)
The apparent rate constants a1, a2, b1 and b2 together with the am-
plitudes A1, A2, B1 and B2 can be deduced using biexponential fitting
of each kinetics using Eqs. 7 and 8. Then, the pseudo-elementary
rate constants k1 to k4 can be calculated from the S, P, SЈ and PЈ
values and the relative amplitudes A1, A2, B1 and B2.
In this paper this cumbersome manual extraction has been re-
placed by computer calculation using homemade software.
CTC. The lower value of the activation entropy for X
→
CTC could be explained by the absence of hydrogen bond
promotion.
Regarding the two remaining isomers (CTT and TTT),
their thermal stability can be interpreted by the requirement
For the CTC isomer, a2,1
k3, P k1 · k2 k2 · k3 and a2
For the TTC isomer, b2,1 (SЈ Ϯ ͙
k4, PЈ ϭ k1 · k4 k3 · k4 and b2
ϭ
(S Ϯ ͙S2
a1.
Ϫ
4P)/2 with S
ϭ
k1
ϩ
k2
ϩ
ϭ
ϩ
Ͼ
ϭ
S
Ͼ
Ј2 Ϫ 4P
b1.
Ј)/2 with SЈ ϭ k1
ϩ
k3
ϩ
ϩ
for three rotations (C3–C2
two for the ring-closure process.
ϩ
C2–C1
ϩ
C1–C1a) instead of
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CONCLUSIONS
1
Five species are produced upon irradiation of F-Py. The H
NMR and 19F NMR spectroscopies revealed a naphtho-pro-
tonated form (X) and led to the structural determination of
the four theoretically expected photomerocyanines, which
show different thermal stabilities. Thus we proposed the
most plausible thermal reaction mechanism, based on quan-
titative observations. Assuming this mechanism to hold true,
the system was analyzed during its dynamic evolution.
Using this scheme and the temperature effects, we deter-
mined the enthalpy and entropy of activation of the thermal
bleaching of this photochromic system. In particular, it was
possible to propose some reasonable hypotheses about the
leading role of the hydroxy-proton of X in the formation of
TTC vs CTC. Moreover, the kinetics of the photoproducts
were mathematically analyzed, and it was proved that the
thermal decay of the major photoproducts, CTC and TTC,
is activated, whereas the thermal reactivity of the isomers
CTT and TTT in the back reaction to F-Py is negligible.
This work indicates NMR spectroscopy to be a promising
tool for studying photochromic compounds: the number and
the structure of each photomerocyanine can be unambigu-
ously determined. Moreover, the kinetic studies are consid-
erably improved by following the changes occurring in the
photoproducts, and their interdependence. In addition, the
concentrations of the different open forms can be measured
directly from NMR spectra. This gives a significant advan-
tage over the methods used previously. The idea of combin-
ing UV–visible with NMR could bring a better understand-
ing of photochromism.