In anthocyanins and most flavylium derivatives the cis‐trans isomerization is much slower than the other kinetic processes. It is possible thus to define a transient state (pseudo‐equilibrium) where the mole fraction of the trans‐chalcones is very small. Consequently, it is more convenient to carry out the reverse pH jumps from pseudo‐equilibrium. Scheme 1.4 illustrates the question in acidic medium, but it is generalized to higher pH values. Even if some Ct is formed, the only drawback is the loss of sensitivity, because the kinetics of the Ct transformation in flavylium cation is much slower and is not detected in the stopped flow experiments. In conclusion, the data reported in Figure 1.3, extended to other pH values, allows the calculation of the mole fraction distribution of the species A, B, and Cc as well as the respective anionic forms.
Figure 1.3 Stopped flow traces 4’‐hydroxyflavylium (at pseudo‐equilibrium, where no significant amounts of Ct were formed) after a reverse pH jump from pH=6.45 (a) and pH=8.9 (b) to the final pH=1.0.
Scheme 1.4 Energy level diagram of the compound 4’‐hydroxyflavylium and the kinetic processes after a reverse pH jump to pH≤1.
The mole fraction distribution of these species can be represented as a function of the initial pH of the reverse pH jump (Figure 1.4).
The fitting of Figure 1.4 was carried out by considering for AH+, CB^, CB^‐, and CB^2‐ the contributions of the respective forms of quinoidal bases, hemiketals, and cis‐chalcones. For example, the mole fraction distribution of CB‐^ is given by eq. (27) (Mendoza et al. 2019 supplementary information).
with
(28)
and
(29)
Figure 1.4 Representation of the mole fraction distribution of the compound 4’‐hydroxyflavylium on the basis that the reverse pH jumps at pseudo‐equilibrium. The symbol ^ is used to differentiate pseudo‐equilibrium from equilibrium (‘).
The mole fractions of the more colored forms, eq. (30), as well of those of hemiketals, eq. (31) and cis‐chalcones, eq. (31) are thus obtained.
Considering that the apparent equilibrium constants are experimentally obtained from the inflection points of the absorption spectra as a function of pH, the fitting of eq. (30) to eq. (32) permits us to obtain the constants an, bn and cn (n = 0, 1 and 2).
On the other hand, eq. (22) to eq. (25) can be re‐written for the pseudo‐equilibrium: