Pe´rez-Casas and Yatsimirsky
of anion, and several systems based on this phenomenon have
been developed for practical anion sensing.6
characterized in terms of a meaningless “binding” constant
formally calculated by fitting the absorbance changes as a
function of added anion concentration to the equation for 1:1
binding isotherm and the real K2 value has never been estimated.
Also, in situations when a second anion is needed to induce
the deprotonation, the fact that the complex A2H- has a
sufficiently high formation constant has never been proved,
although the reaction is usually performed in highly polar
solvents like DMSO where such complexes may be rather
unstable. Finally, a situation when both formation of a hydrogen-
bonded complex and deprotonation processes occur simulta-
neously was not yet analyzed quantitatively. This last situation
is important because the highest stability of hydrogen-bonded
complexes is reached for couples of proton donor and proton
acceptor of equal basicity,7 but for such a couple K2 ) 1 and
deprotonation by 50% should be observed already in equimolar
mixture of anion and receptor. However, in fact, the degree of
deprotonation is a more complex function of equilibrium
constants and reaction conditions. It follows from eqs 4 and 5
that the ratio of concentrations of deprotonated and hydrogen
bonded forms is given by eq 7.
A recently developed general scheme of processes involved
in anion-receptor interaction considers three types of reactions.2
If basicity of an anion A- is insufficient to induce deprotonation
of the receptor RH, one observes formation of a hydrogen-
bonded complex R-H‚‚‚A- (eq 1) manifested in a red shift of
the receptor UV absorption band and a downfield shift or often
disappearance of NMR signals of receptor protons involved in
the hydrogen bonding.
RH + A- a RHA-
(1)
If basicity of an anion if high enough to deprotonate the
receptor (eq 2), one observes appearance of a new intense
absorption bond in the visible range of the electronic spectrum
attributed to the deprotonated receptor, disappearance of NMR
signals of abstracted receptor protons, and an upfield shift of
signals of adjacent receptor protons.
RH + A- a R- + AH
(2)
In a borderline case, an anion initially forms a hydrogen-
bonded complex, but with sufficiently high excess of added
anions the deprotonation occurs due to formation of hydrogen
bonded anion dimers A2H- (eq 3), which shifts the equilibrium
2 to the right. This last situation is observed most often with
fluoride anion and also was described with acetate anions.2a,b,e
[R-]/[RHA-] ) K2/K1[AH]
(7)
Obviously, strong hydrogen bonding (large K1) will reduce
the degree of deprotonation. At the same time, if there is no
added acid the concentration of AH will be equal to the
concentration of deprotonated form, which in its turn is
proportional to total receptor concentration. Therefore, depro-
tonation will be more significant in more dilute receptor
solutions where less acid is produced and the “binding constant”
formally calculated for the deprotonation reaction will depend
on the receptor concentration.
In this paper, possible approaches to analyze all of these
aspects are illustrated by performing a detailed study of
interactions between acetate anions and a set of receptors 1-4
of structural type frequently employed in design of anion-sensing
molecules in two most often used solvents DMSO and MeCN.
Both UV-vis and NMR titrations were analyzed numerically
in terms of a complete set of coexisting equilibria 1-3. An
approach to determine separately the equilibrium constant for
the hydrogen-bonding reaction by performing titrations in the
presence of added acid was applied. Special attention was paid
to consistency of spectroscopic manifestations of one or another
type of interaction, which follow from the results of UV-vis
and NMR titrations.
AH + A- a A2H-
The respective equilibrium constants are given by eqs 4-6.
(3)
K1 ) [RHA-]/[RH][A-]
K2 ) [R-][AH]/[RH][A-]
K3 ) [A2H-]/[AH][A-]
(4)
(5)
(6)
Although this scheme in general is well justified, a quantita-
tive description of equilibria involved still requires more
detailing. In particular, the deprotonation process is always
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M. E. New J. Chem. 2006, 30, 65.
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Pfeffer, F. M. Coord. Chem. ReV. 2006, 250, 3094. (b) Pfeffer, F. M.;
Gunnlaugsson, T.; Jensen, P.; Kruger, P. E. Org. Lett. 2005, 7, 5357. (c)
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2276 J. Org. Chem., Vol. 73, No. 6, 2008