| Abstract
| - Acid−base properties of branched, weak polyelectrolytes areanalyzed theoretically by meansof Ising models with short-range interactions. Assuming that thestructure of the branched polyelectrolytecan be approximated by the topology of a tree (no closed loops), theIsing model with nearest neighborpair interactions can be solved with exact recursion relations. Wedemonstrate that the branchingstructure has important implications for the protonation behavior ofweak polyelectrolytes. For instance,the protonation a dendritic and a comblike polyelectrolyte proceedrather differently. Within thisframework, the titration behavior of branched poly(ethylene imine)can be explained quantitatively.
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