Table 1 Equilibrium constants for 30,40-(methylenedioxy)flavylium in
aqueous solutions, at 23.0 1C
Kh
Kt
Ki
KCc
KCt
K0i
1.2 ꢁ 10ꢀ4
M
0.49
30
9.6 ꢁ 10ꢀ10
M
2.5 ꢁ 10ꢀ9
M
75
Energy level diagram and mole fraction distribution
To completely characterize the network of reactions repre-
sented in Scheme 1, equilibrium constants for each process
must be evaluated. Taking into account reactions (1)–(4) and
the fast equilibrium between B and Cc, it is easy to demonstrate
(see ESIw) that the fittings on the insets of Figs. 1 and 2,
together with the value of Kt ¼ 0.49 calculated from the
stopped flow experiments, allows us to obtain all the relevant
thermodynamic data for the system, Table 1.
The self consistency of the data can be tested by calculating
the value of the equilibrium constant pKa1 ¼ 2.71 from the
data of Table 1, which compares well with the experimental
value of 2.75.
The equilibrium constants of Table 1 can be combined (i)
with the data from the stopped flow analysis to obtain rate
constants for the hydration–dehydration and tautomerization
processes and, (ii) with the data from thermal cis–trans iso-
merization kinetics to obtain rate constants for the two cis–
trans isomerizations. The kinetic data are collected in Table 2.
As reported previously for other flavylium salts, the data
shown in Table 1 allow an energy level diagram of the network
to be obtained, Scheme 2.3 In this particular case, the scheme
was extended to species existing at basic pH values. This type
of representation allows to visualize which species should be
predicted for a given pH value at the equilibrium, as well as at
the pseudo equilibrium. Another alternative to visualise the
system is the representation of the mole fraction distribution of
the equilibrium and pseudo equilibrium, shown in Fig. 6. In
this figure, the full lines represent the mole fraction distribution
at the equilibrium, while the dotted lines the same for the
pseudo equilibrium. If, for instance, the compound is dissolved
at pH ¼ 6, the system evolves from a mixture of ca. 65%
B þ 35% Cc at the pseudo equilibrium to a final equilibrium
containing only Ct.
Fig. 5 a) Traces of the absorbance measured at 459 nm (AH1
absorption) obtained upon a pH jump from solutions freshly prepared
at pH ¼ 1.0 to the basic pH region; b) representation of the pH
dependent process as a function of the hydroxide concentration.
0.96 sꢀ1 and 0.46 sꢀ1, respectively, and another one which
increases linearly with increasing proton concentration, 42, 39
and 44 Mꢀ1sꢀ1.9 In the present system, we obtained for the pH
independent term 0.54 sꢀ1, and for the other term, 38 Mꢀ1sꢀ1
.
Photochemistry
Taking into account that in our experiment the equilibrium
between Cc and B is not reached, since B is immediately
consumed to give AH1, kꢀt should be equal to 0.54 sꢀ1, leading
to kt ¼ 0.26 sꢀ1, from the tautomeric equilibrium constant, Kt,
determined above, see Table 2.
The compound 30,40-(methylenedioxy)flavylium presents two
photochromic systems depending on pH, i.e., Cc " Ct (Sys-
tem I), and Ccꢀ " Ctꢀ (System II), each one exhibiting a
different behaviour. The photochemistry of System I is re-
ported in Figs. 7a and 7b. As mentioned above, the thermal
barrier permits the Ct form to be obtained in a metastable
situation, even in very acidic solutions. However, irradiation at
313 nm of the Ct species (pH ¼ 1.3) leads to the formation of
AH1, the thermodynamically stable species at this pH value,
with a quantum yield of F ¼ 0.02. On the other hand, irradia-
tion at 313 nm and pH ¼ 6.3 of the B þ Cc species (pseudo
equilibrium) leads to the formation of a photostationary state
between Cc and the Ct species, since acidification to pH ¼ 1.0
of the photostationary state gives rise to the formation of some
flavylium cation. The amount of flavylium cation permits
calculation of the ratio Cc/Ct ¼ 0.27 at the photostationary
state. The quantum yield of the photochemical conversion of
Cc into Ct, calculated from the initial points, is F ¼ 0.19. From
this value and the molar absorption coefficients of both species
at 313 nm, the quantum yield of the reverse photoreaction
Ct - Cc is calculated as F ¼ 0.02, in total agreement with the
value obtained for the same photoreaction at pH ¼ 1.3. At
basic pH values, photochromic system 2 (Fig. 7c) is character-
ized by a Ccꢀ - Ctꢀ quantum yield of 0.10 (pH ¼ 12). This
Another series of pH jumps from equilibrated solutions at
pH ¼ 1.0 to less acidic pH values was also performed. For
example, if the final pH after the pH jump is 2.9, a single first
order process with rate constant equal to 0.90 sꢀ1 was mea-
sured. At this pH value, kobs for the hydration–dehydration
reaction is predicted to be ca. 1.2 þ 1.01 ꢁ 104 ꢁ 10ꢀ2.9
¼ 14 sꢀ1. Consequently, the rate determining step of the global
process is the tautomerization reaction, whose calculated rate
is 0.26 þ (0.54 þ 38 ꢁ 10ꢀ2.9) ¼ 0.85 sꢀ1, in good agreement
with the experimental value. Finally, the traces of the pH
jumps from solutions at pH ¼ 1.0 (AH1) to basic pH values,
Fig. 5a, can be fitted according to a first order kinetic process,
with rates that are linearly dependent on the hydroxyl
concentration, with a slope of 2 ꢁ 105
M
ꢀ1sꢀ1 and an inter-
cept of 1.2 sꢀ1, see Fig. 5b. These constants compare well
with those previously reported for the compound 40-methoxy-
flavylium,9 1.8 ꢁ 105
M
ꢀ1sꢀ1 and 1.38 sꢀ1, respectively. The
value of the intercept should reflect the hydration reaction
due to water attack, and as expected it is coincident
with kh.
1224
N e w J . C h e m . , 2 0 0 4 , 2 8 , 1 2 2 1 – 1 2 2 6