The binding of calcium and magnesium ions (M
2+
) by polymers
and other macromolecules in aqueous solution is ubiquitous across
chemistry and biology. At present, it is difficult to assess the binding
affinity of macromolecules for M
2+
without recourse to
potentiometric titrations and/or isothermal titration calorimetry.
Both of these techniques require specialized equipment, and the measurements
can be difficult to perform and interpret. Here, we present a new
method based on
1
H NMR chemical shift imaging (CSI) that
enables the binding affinity of polymers to be assessed in a single
experiment on standard high-field NMR equipment. In our method, M
2+
acetate salt is weighed into a standard 5 mm NMR tube and
a solution of polymer layered on top. Dissolution and diffusion of
the salt carry the M
2+
and acetate ions up through the
solution. The concentrations of acetate, [Ac], and free (unbound)
M
2+
, [M
2+
]
f
, are measured at different
positions along the sample by CSI. Binding of M
2+
to the
polymer reduces [M
2+
]
f
and hinders the upward
diffusion of M
2+
. A discrepancy is thus observed between
[Ac] and [M
2+
]
f
from which the binding affinity
of the polymer can be assessed. For systems which form insoluble complexes
with M
2+
, such as sodium polyacrylate or carboxylate-functionalized
nanocellulose (CNC), we can determine the concentration of M
2+
at which the polymer will precipitate. We can also predict [M
2+
]
f
when a solution of polymer is mixed homogeneously
with M
2+
salt. We assess the binding properties of sodium
polyacrylate, alginate, polystyrene sulfonate, CNC, polyethyleneimine,
ethylenediamenetetraacetic acid, and maleate.