Photoacid for Long-Lived and Reversible pH-Jumps
A R T I C L E S
∆V0 ) -RT(2.303pKHA + ln(pA/qA) - 2.303pKHB
-
Photoactivation of such compounds initiates a series of reactions
where one of the intermediates is a strong acid that deprotonates
and rapidly converts into a photolysis product with low pKa.14
With such caged proton compounds, the size of the pH jump is
limited by the pKa of the photolysis product and the irrevers-
ibility is a source of contamination.
In(pB/qB)) - ZHA + ZHB (4)
pKAH and pKBH are the thermodynamic acidity constants of
AH and BH, pA (pB) is the number of equivalent protons in AH
(BH), qA (qB) is the number of equivalent basic sites in AH
(BH), and ZAH (ZBH) is the zero-point energy of the AH (BH)
bond. The presence of hydrogen-bonded intermediates is
included in this reaction path using the Lippincott-Schroeder
potential.22 Zero-point energies are added to the classical
reaction coordinate of ISM and the resulting vibrationally
adiabatic path is employed to calculate rate constants using the
semiclassical transition state theory. Intramolecular proton
transfers are treated in the same way, except that the entropy
lost in attaining the six-membered ring may be taken from that
The advances in the pH jump technique have been insufficient
to promote it as a general tool to perturb acid-base equilibria
or to induce acid-catalyzed reactions. Further progress requires
a reversible photoacid capable of acidifying persistently its
aqueous environment when irradiated with a single laser pulse.
In this work we develop the concept of persistent and reversible
photoacids using Formosinho’s Interacting-State Model
(ISM)15-17 and its applications to proton transfers in solution
and in enzymes.16,18 ISM is employed to design the structure
of a photoacid capable of very fast excited-state deprotonation
and very slow ground-state reprotonation. It is shown that this
can be achieved with naphthol derivatives provided that
intramolecular proton transfer from an activated carbon acid is
made competitive with the excited-state decay of the naphtho-
late. ISM calculations show that one nitro group is sufficient
for this purpose if the acidic proton closes a 6-membered ring
with the oxygen atom of the naphtholate. These predictions
motivated the synthesis of 1-(2-nitroethyl)-2-naphthol (NO2nH).
We show that aqueous solutions of this molecule remain acidic
under continuous irradiation, reversibly retuning to neutrality
in the dark. On-off light cycles generate acid-neutral pH cycles,
each lasting for approximately one second. The reversibility of
the system supports the operation of a molecular proton pump
driven by light. Using intense and focused laser beams, it
becomes possible to control acidity in the nanoscale within
nanoseconds.
of cyclohexane, ∆qS ) -18.8 cal mol-1 K-1 23 and included in
,
the pre-exponential factor. Details are given in the Supporting
Information. The calculations were run in the freely available
Internet application,16b uploading the input files presented in
the Supporting Information. The output files are also presented
in the Supporting Information.
Figure 1 presents the rates of the proton transfer cycle
calculated with ISM based on known pKa values of analogous
compounds, pKa(2-naphthol) ) 9.4510 and pKa(2-nitro-ethyl)-
benzene ) 8.78 in water and 9.82 in 50% MeOH/H2O,24
respectively. ISM predicts that intramolecular quenching of the
electronically excited naphtholate ion by an acidic proton of a
nitroalkane moiety is competitive with its nanosecond lifetime.
For example, the anion derived from 1-propyl-2-naphthol has
an excited state decay with a major component ca. 5 × 107
s-1,25 whereas the calculated intramolecular proton transfer rate
constant from the acidic carbon to RO- is kipt ) 2.6 × 108 s-1
.
Thus, we expect that 80% of the naphtholate fluorescence is
quenched by nonadiabatic intramolecular proton transfer to yield
a ground-state carbanion located at the R position to the nitro
group. This carbanion is trapped in a deep potential well, with
a barrier of 7 kcal/mol preventing its protonation by the oxonium
ion and a barrier of 14 kcal/mol in the way of the ground-state
intramolecular proton transfer from the naphthol moiety.
The intramolecular proton transfer neutralizes the naphtholate
but generates a carbanion next to a nitro group, which is
recognized as the best carbanion-stabilizing group in organic
chemistry.26 ISM calculated rate constants for the protonation
of this carbanion and for the deprotonation of the corresponding
2. Theoretical Design
ISM has been described in detail in various recent publica-
tions,16,17,19 including applications to proton transfer reactions
in solution16,20 and in enzymes.18,21 Briefly, the classical reaction
path of ISM for the general proton transfer reaction
B- + HA f {B...H...A}-q f BH + A-
(2)
is a linear interpolation between the Morse curves of HA and
HB along the reaction coordinate
nitroalkane are kp ) 5 × 104 and kd ) 8 × 10-7 M-1 s-1
,
Vcl(n) ) (1 - n)VHA + nVHB + n∆V0
(3)
respectively, but the deprotonation in water is more conveniently
expressed as a first-order rate with kd[H2O] ≈ 4 × 10-5 s-1
.
The protonation of this carbanion is 106 times slower than that
of ground-state 2-naphtholate, which is controlled by diffusion,
and is expected to lead to pH jumps lasting one million times
longer than those produced by naphthols.
where n is the HB bond order and the classical reaction energy
is
(14) Laimgruber, S.; Schreier, W. J.; Schrader, T.; Koller, F.; Zinth, W.;
Gilch, P. Angew. Chem., Int. Ed. 2005, 44, 7901–7904.
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Chem. Soc. 2003, 125, 5236–5246.
The quantitative treatment of the carbanion reprotonation
kinetics in a pH jump experiment must take into consideration
that the return of the solution to neutrality is governed by the
re-establishment of the equilibrium
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