Aqueous–organic solvent mixtures are commonly
used for reactions
or analyses, where the components of a system are insoluble in pure
water. The acid dissociation constant is an important property to
measure in these media as it determines the charge state, solubility,
and reactivity of a molecule. While NMR spectroscopy is an established
tool for the measurement of pK
a in water,
its use in aqueous–organic solvents is greatly hindered by
the requirement for external calibrants on which a working pH scale
is set. Such calibrants include buffer solutions, “anchor”
molecules with known pK
a values, and pH
electrodes that have undergone lengthy calibration procedures in the
solvent mixture of interest. However, such calibrations are often
inconvenient to perform, while literature pK
a data covering the required range may not be available at
the solvent composition or the temperature of interest. Here, we present
a method to determine pK
a in aqueous–organic
solvents directly by NMR. We first determine pK
a of an organic acid such as 2,6-dihydroxybenzoic acid (2,6-DHB)
by measuring its 1H chemical shift as a function of concentration
along a concentration gradient using chemical shift imaging (CSI).
Using 2,6-DHB as a reference, we then determine pK
a of less acidic molecules in single CSI experiments via
the variation of their 1H chemical shifts along pH gradients.
As proof of concept, we determine the pK
a values of organic acids and bases up to pK
a 10 in 50% (v/v) 1-propanol/water, 50% (v/v) dimethyl sulfoxide/water,
and 30% (v/v) acetonitrile/water and obtain good agreement with the
literature values.