Calcium
ions in hard water deteriorate the cleaning performance
of detergents by interacting with the anionic surfactants and inducing
their precipitation. Polystyrene sulfonate is a common component of
cation-exchange resins that adsorb hard ions such as Ca+2 and Mg+2, which adhere to the sulfonate groups. Therefore,
understanding the calcium-binding ability of polystyrene sulfonate
in the presence of dodecyl sulfate can help in designing novel water-softening
agents for applications related to detergency. Studying the association
between polystyrene sulfonate and dodecyl sulfate via calcium ion
bridges is also important. Since resins contain cross-linked polystyrene
sulfonate, degrees of cross-linking and sulfonation are two important
parameters. We use molecular dynamics simulations to study the effect
of the above parameters on the calcium-binding ability of isotactic
polystyrene sulfonate in the presence of dodecyl sulfate. We observe
negligible dependence of calcium-ion binding of polystyrene sulfonate
on the degrees of cross-linking and sulfonation. The formation of
calcium ion bridges between cross-linked polystyrene sulfonate and
dodecyl sulfate is strongly affected by the degree of sulfonation.
Such bridges are observed more for the intermediate degrees of sulfonation.
This is because, at a very low degree of sulfonation, dodecyl sulfate
ions align closer to the cross-linking aromatic groups than the sulfonated
ones. On the other hand, at high degrees of sulfonation, stronger
electrostatic repulsion disfavors the proximity between dodecyl sulfate
and polystyrene sulfonate.